Rust f32::asinh

Time bar (total: 10.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample584.0ms (5.4%)

Memory
12.9MiB live, 574.0MiB allocated
Samples
447.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 204.0ms
ival-asinh: 196.0ms (95.9% of total)
ival-true: 5.0ms (2.4% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

explain386.0ms (3.5%)

Memory
-13.1MiB live, 264.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1140-0-(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
670-0-(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)))))sensitivity1111
sqrt.f32(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))oflow-rescue670
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow67
(*.f32 x x)overflow67
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue30
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))overflow3
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow67
(*.f32 x x)overflow67
Confusion
Predicted +Predicted -
+1781
-077
Precision
1.0
Recall
0.994413407821229
Confusion?
Predicted +Predicted MaybePredicted -
+17801
-0176
Precision?
0.994413407821229
Recall?
0.994413407821229
Freqs
test
numberfreq
078
1175
23
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
95.0ms174×1valid
81.0ms338×0valid
Compiler

Compiled 115 to 31 computations (73% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
ival-hypot: 43.0ms (44.6% of total)
ival-mult: 26.0ms (26.9% of total)
ival-log: 11.0ms (11.4% of total)
ival-add: 6.0ms (6.2% of total)
ival-copysign: 5.0ms (5.2% of total)
adjust: 3.0ms (3.1% of total)
ival-fabs: 3.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess13.0ms (0.1%)

Memory
24.0MiB live, 24.0MiB 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 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.1%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0%)

Memory
6.2MiB live, 6.2MiB 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 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(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)

localize107.0ms (1%)

Memory
2.7MiB live, 41.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(fabs.f32 x)
accuracy0.0234375
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy7.122444087939172
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
accuracy11.688557191145325
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
Samples
82.0ms169×0valid
15.0ms87×1valid
Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-hypot: 74.0ms (82.9% of total)
ival-log: 5.0ms (5.6% of total)
ival-add: 3.0ms (3.4% of total)
adjust: 2.0ms (2.2% of total)
ival-copysign: 2.0ms (2.2% of total)
ival-mult: 1.0ms (1.1% of total)
ival-fabs: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series58.0ms (0.5%)

Memory
-33.6MiB live, 5.8MiB 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 (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 (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 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 (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 (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 (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 (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 (* -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 (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 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 (* -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 (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 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 (* -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 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 (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 (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

18 calls:

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

simplify744.0ms (6.8%)

Memory
5.4MiB live, 406.5MiB allocated
Algorithm
egg-herbie
Rules
24 610×lower-fma.f64
24 610×lower-fma.f32
4 994×lower-*.f64
4 994×lower-*.f32
4 040×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169782
1490754
21511741
35413691
08421635
Stop Event
iter limit
node limit
Counts
72 → 70
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
Outputs
1
#s(literal 1 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))
(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))
(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 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) 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 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 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 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 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 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 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))))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (log.f32 x)) (fma.f32 (*.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (*.f32 x x) #s(literal -3 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 x x))) (/.f32 (fabs.f32 x) x)))
(* -1 (log (/ -1 x)))
(neg.f32 (neg.f32 (log.f32 (neg.f32 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) #s(literal 1/2 binary32)) x) (fabs.f32 x)) x) (neg.f32 (log.f32 (neg.f32 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 x (*.f32 x #s(literal -1/2 binary32)) (fma.f32 (*.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (*.f32 x x) #s(literal -3 binary32))) (/.f32 #s(literal -1/6 binary32) x) #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (neg.f32 (log.f32 (neg.f32 x))))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f32 x (fabs.f32 x))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(+.f32 (fma.f32 x (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) (fabs.f32 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) x) (/.f32 #s(literal -1/2 binary32) x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x)
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
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 x (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x 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))))
(+.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 x (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x 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 x (/.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x (*.f32 x 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)))))
(+.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)

rewrite458.0ms (4.2%)

Memory
11.6MiB live, 378.0MiB 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 → 279
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
(hypot.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(hypot.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(hypot.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 (neg.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(hypot.f32 (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(hypot.f32 (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(hypot.f32 (*.f32 (neg.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(neg.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))
(exp.f32 (log1p.f32 (*.f32 x x)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 (*.f32 x x))) #s(literal -1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fabs.f32 (fma.f32 x x #s(literal 1 binary32)))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 2 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #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 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 4 binary32))
(pow.f32 (*.f32 (*.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)) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1/4 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (log1p.f32 (*.f32 x x))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x))))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log1p.f32 (*.f32 x x)))
(fma.f32 x x #s(literal 1 binary32))
(fma.f32 x (/.f32 (*.f32 x (*.f32 x x)) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x x)) (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 #s(literal -1 binary32) (*.f32 x (neg.f32 x)) #s(literal 1 binary32))
(fma.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)) #s(literal 1 binary32))
(fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (/.f32 (*.f32 x (*.f32 x x)) (+.f32 x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) (/.f32 (*.f32 x x) (+.f32 x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) (/.f32 x (+.f32 x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x)) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 (*.f32 (neg.f32 x) #s(literal -1 binary32)) x #s(literal 1 binary32))
(fma.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (fma.f32 x (fma.f32 x (*.f32 x x) x) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (exp.f32 (log.f32 (neg.f32 x))) (exp.f32 (log.f32 (neg.f32 x))) #s(literal 1 binary32))
(-.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (fma.f32 x (*.f32 x (*.f32 x 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 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
(/.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal -1 binary32))))
(/.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
(/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (*.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal -1 binary32)) (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32))))
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(*.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 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 (-.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))))))) (fma.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x (*.f32 x (*.f32 x x)) (neg.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.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))))))) (fma.f32 x x (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))))
(*.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))) (-.f32 (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 x x (fma.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x))))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (*.f32 x x))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (*.f32 x x)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (-.f32 (log1p.f32 (*.f32 x x)) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x)))))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 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))
(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 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 (*.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)) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1/8 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log1p.f32 (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.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 (fma.f32 x (*.f32 x (*.f32 x 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 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(*.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)))))
(exp.f32 (log.f32 (fabs.f32 x)))
(exp.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 1 binary32)))
(fabs.f32 x)
(fabs.f32 (neg.f32 x))
(fabs.f32 (-.f32 x #s(literal 0 binary32)))
(pow.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))

eval46.0ms (0.4%)

Memory
-1.8MiB live, 73.0MiB allocated
Compiler

Compiled 10 321 to 1 601 computations (84.5% saved)

prune122.0ms (1.1%)

Memory
4.6MiB live, 129.0MiB allocated
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New32920349
Fresh000
Picked101
Done000
Total33020350
Accuracy
99.4%
Counts
350 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.0%
(copysign.f32 (-.f32 (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
14.3%
(copysign.f32 (+.f32 (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) x)
40.1%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
15.8%
(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 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
15.0%
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
40.1%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
29.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
30.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
32.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
30.6%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
31.8%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)
19.7%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
48.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x)
49.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x)
15.3%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
15.2%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)))) x)
15.6%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
66.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
14.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Compiler

Compiled 738 to 402 computations (45.5% saved)

simplify9.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB 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 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
cost-diff128
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))))
cost-diff288
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
cost-diff352
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))
cost-diff0
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
cost-diff0
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
cost-diff0
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
cost-diff0
(log.f32 x)
cost-diff0
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) 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
46×lower-*.f64
46×lower-*.f32
38×lower-fma.f64
36×lower-fma.f32
24×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030242
049228
164227
280227
388227
4110227
5122227
6125227
0125227
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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(log.f32 x)
x
(/.f32 (fabs.f32 x) x)
(fabs.f32 x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log.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))
(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)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))))
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
#s(literal 1 binary32)
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(log.f32 x)
x
(/.f32 (fabs.f32 x) x)
(fabs.f32 x)
(copysign.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 (fma.f32 x x #s(literal 1 binary32))))) x)
(log.f32 (+.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)))))
(+.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
#s(literal 1 binary32)
(fabs.f32 x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) 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 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))))
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(neg.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.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)))))
#s(literal 1 binary32)
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))

localize127.0ms (1.2%)

Memory
6.3MiB live, 160.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
accuracy0.11455843502498324
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
accuracy3.5343226394627454
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
accuracy5.857056527197349
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
accuracy0
(fabs.f32 x)
accuracy0.015625
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
accuracy3.5343226394627454
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
accuracy6.020921323402451
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
accuracy0
(log.f32 x)
accuracy0
(fabs.f32 x)
accuracy0.01171875
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
accuracy11.842812556354628
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))
accuracy0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
accuracy0
(log.f32 x)
accuracy12.168637985789239
#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
(fabs.f32 x)
accuracy0.00390625
(log1p.f32 (fabs.f32 x))
accuracy5.3747618424485735
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
Samples
47.0ms46×1valid
25.0ms125×0invalid
16.0ms85×0valid
Compiler

Compiled 235 to 23 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-log: 14.0ms (30.4% of total)
ival-hypot: 6.0ms (13% of total)
ival-copysign: 6.0ms (13% of total)
ival-add: 6.0ms (13% of total)
ival-div: 5.0ms (10.8% of total)
adjust: 2.0ms (4.3% of total)
ival-mult: 2.0ms (4.3% of total)
ival-fabs: 2.0ms (4.3% of total)
ival-log1p: 2.0ms (4.3% of total)
ival-neg: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series172.0ms (1.6%)

Memory
-31.8MiB live, 206.8MiB allocated
Counts
20 → 240
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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) #<representation binary32>) () ())
#s(alt (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) (patch (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) #<representation binary32>) () ())
#s(alt (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) (patch (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (patch (log.f32 (+.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>) () ())
#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 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) (patch (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))) (patch (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) (patch (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) (patch (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 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)))) (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 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf 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 inf 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 inf 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 inf 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 -inf 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 -inf 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 -inf 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 -inf 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 (* -1 (log (/ 1 x))) (taylor inf 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 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) (taylor inf 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 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) (taylor inf 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 (+ (* -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 #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 (* -1 (log (/ -1 x))) (taylor -inf 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 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) (taylor -inf 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 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) (taylor -inf 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 (+ (* -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 #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 (log (+ 1 (fabs x))) (taylor inf x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor inf x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor inf x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor inf x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor -inf x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor -inf x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor -inf x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor -inf 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>) () ())) ())
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Calls

60 calls:

TimeVariablePointExpression
43.0ms
x
@0
(log (+ 1 (fabs x)))
21.0ms
x
@inf
(log x)
20.0ms
x
@inf
(log (+ 1 (fabs x)))
17.0ms
x
@-inf
(log (+ 1 (fabs x)))
14.0ms
x
@-inf
(log x)

simplify317.0ms (2.9%)

Memory
12.4MiB live, 558.0MiB allocated
Algorithm
egg-herbie
Rules
15 482×lower-fma.f64
15 482×lower-fma.f32
5 124×lower-+.f64
5 124×lower-+.f32
4 322×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03534054
110823798
236093613
085053345
Stop Event
iter limit
node limit
Counts
240 → 237
Calls
Call 1
Inputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
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(+ (* -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 x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
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(+ (* -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)))
(/ (fabs x) x)
(/ (+ (fabs x) (* x (log x))) x)
(/ (+ (fabs x) (* x (log x))) x)
(/ (+ (fabs x) (* x (log x))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(/ 1 (+ 1 (fabs x)))
(+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (fabs x) x))) x)
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ (fabs x) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x))
(log (/ 1 (+ 1 (fabs x))))
(+ (log (/ 1 (+ 1 (fabs x)))) (* -1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* 1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* (pow x 2) (+ (* 1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(log (/ 1 x))
(+ (log (/ 1 x)) (* -1 (/ (fabs x) x)))
(+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2)))))
(+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))
(log (/ -1 x))
(+ (log (/ -1 x)) (/ (fabs x) x))
(+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))
(+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 (log (/ 1 (+ 1 (fabs x)))))
(- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x)))))
(- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(* -1 (log (/ 1 x)))
(- (/ (fabs x) x) (log (/ 1 x)))
(- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x))))
(- (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))
(* -1 (log (/ -1 x)))
(- (* -1 (/ (fabs x) x)) (log (/ -1 x)))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(/ 1 (+ 1 (fabs x)))
(+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (fabs x) x))) x)
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ (fabs x) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
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(/.f32 (-.f32 #s(literal 2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (*.f32 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)
(/.f32 (-.f32 (-.f32 #s(literal 2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (/.f32 (*.f32 (fabs.f32 x) (+.f32 (fma.f32 x x #s(literal -1/2 binary32)) #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x)))) x)
(/ -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 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal -1/2 binary32)) x)) x)) (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 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (fabs.f32 x) x) (-.f32 #s(literal -1/2 binary32) (fma.f32 x (neg.f32 x) #s(literal 1/2 binary32))) (fma.f32 x x #s(literal -1/2 binary32))) x) (fabs.f32 x)) x)) (neg.f32 x))
(+ 1 (fabs x))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/16 binary32)) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
x
(* x (+ 1 (/ (fabs x) x)))
(fma.f32 x (/.f32 (fabs.f32 x) x) x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(fma.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(+.f32 x (*.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(fma.f32 x (/.f32 (fabs.f32 x) x) (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(fma.f32 x (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fma.f32 x (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) (neg.f32 x))

rewrite224.0ms (2.1%)

Memory
19.8MiB live, 378.2MiB allocated
Rules
4 216×lower-fma.f64
4 214×lower-fma.f32
3 030×lower-*.f64
3 030×lower-*.f32
3 014×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030210
049196
1148195
2927186
09192186
Stop Event
iter limit
node limit
iter limit
Counts
20 → 690
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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log.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))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))))
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(/.f32 #s(literal 1 binary32) (+.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))))
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))
(log1p.f32 (neg.f32 (fabs.f32 x)))
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(+.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))))
(+.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (neg.f32 (log1p.f32 (fma.f32 x x (fabs.f32 x)))))
(+.f32 (log1p.f32 (*.f32 x (neg.f32 x))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(+.f32 (log1p.f32 (*.f32 x (neg.f32 x))) (neg.f32 (log1p.f32 (fabs.f32 x))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(-.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log1p.f32 (fma.f32 x x (fabs.f32 x))))
(-.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(-.f32 (log1p.f32 (*.f32 x (neg.f32 x))) (log1p.f32 (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 (log.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 x x))) (log.f32 (+.f32 #s(literal -1 binary32) (fabs.f32 x))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 x (*.f32 x x))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 x x (fabs.f32 x))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log1p.f32 (*.f32 x (*.f32 x x))) (fma.f32 (log1p.f32 (fma.f32 x x (fabs.f32 x))) (log1p.f32 (fma.f32 x x (fabs.f32 x))) (*.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log1p.f32 (fma.f32 x x (fabs.f32 x)))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 x (neg.f32 x))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 x (neg.f32 x))) (log1p.f32 (*.f32 x (neg.f32 x))) (fma.f32 (log1p.f32 (fabs.f32 x)) (log1p.f32 (fabs.f32 x)) (*.f32 (log1p.f32 (*.f32 x (neg.f32 x))) (log1p.f32 (fabs.f32 x))))))
(/.f32 (-.f32 (*.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log1p.f32 (*.f32 x (*.f32 x x)))) (*.f32 (log1p.f32 (fma.f32 x x (fabs.f32 x))) (log1p.f32 (fma.f32 x x (fabs.f32 x))))) (+.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log1p.f32 (fma.f32 x x (fabs.f32 x)))))
(/.f32 (-.f32 (*.f32 (log1p.f32 (*.f32 x (neg.f32 x))) (log1p.f32 (*.f32 x (neg.f32 x)))) (*.f32 (log1p.f32 (fabs.f32 x)) (log1p.f32 (fabs.f32 x)))) (+.f32 (log1p.f32 (*.f32 x (neg.f32 x))) (log1p.f32 (fabs.f32 x))))
(log.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(neg.f32 (neg.f32 (fabs.f32 x)))
(fabs.f32 x)
(fabs.f32 (neg.f32 x))
(fabs.f32 (-.f32 x #s(literal 0 binary32)))
(-.f32 #s(literal 0 binary32) (neg.f32 (fabs.f32 x)))
(/.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (neg.f32 (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))
(neg.f32 (neg.f32 (log.f32 x)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (log.f32 x)))
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 (log.f32 x) (fabs.f32 x))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x)))))
(/.f32 (log.f32 x) #s(literal 1 binary32))
(/.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32))
(/.f32 (*.f32 (log.f32 x) (fabs.f32 x)) x)
(/.f32 (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x))) (neg.f32 x))
(/.f32 (*.f32 (*.f32 x x) (log.f32 x)) (*.f32 x x))
(/.f32 (*.f32 (*.f32 x x) (*.f32 (log.f32 x) (fabs.f32 x))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 x x) (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x)))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (log.f32 x) (fabs.f32 x))) x)
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x)))) (neg.f32 x))
(/.f32 (*.f32 (*.f32 x (neg.f32 x)) (log.f32 x)) (*.f32 x (neg.f32 x)))
(/.f32 (*.f32 (*.f32 x (neg.f32 x)) (*.f32 (log.f32 x) (fabs.f32 x))) (*.f32 (*.f32 x (neg.f32 x)) x))
(/.f32 (*.f32 (*.f32 x (neg.f32 x)) (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x)))) (*.f32 (*.f32 x (neg.f32 x)) (neg.f32 x)))
(/.f32 (*.f32 (fabs.f32 x) (log.f32 x)) x)
(/.f32 (*.f32 (fabs.f32 x) (*.f32 (log.f32 x) (fabs.f32 x))) (*.f32 x x))
(/.f32 (*.f32 (fabs.f32 x) (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x)))) (*.f32 x (neg.f32 x)))
(/.f32 (*.f32 (neg.f32 (fabs.f32 x)) (*.f32 (log.f32 x) (fabs.f32 x))) (*.f32 x (neg.f32 x)))
(/.f32 (*.f32 (neg.f32 (fabs.f32 x)) (log.f32 x)) (neg.f32 x))
(/.f32 (*.f32 (neg.f32 (fabs.f32 x)) (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x)))) (*.f32 x x))
(/.f32 (neg.f32 (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x)))) x)
(*.f32 #s(literal 1 binary32) (log.f32 x))
(*.f32 (log.f32 x) #s(literal 1 binary32))
(*.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32))
(*.f32 (*.f32 (log.f32 x) (fabs.f32 x)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x))) (/.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 (log.f32 x) x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x))))
(log.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 #s(literal 1 binary32) (log.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 #s(literal 1 binary32) (log.f32 x)))
(neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (neg.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (log.f32 x))))))
(neg.f32 (/.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32)) (neg.f32 (+.f32 (log.f32 x) #s(literal -1 binary32)))))
(neg.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (log.f32 x)))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32))) (+.f32 (log.f32 x) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (log.f32 x))
(+.f32 (log.f32 x) #s(literal 1 binary32))
(+.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 x) #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 x) #s(literal -1 binary32)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (log.f32 x))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (log.f32 x) #s(literal 1 binary32))
(fma.f32 (log.f32 x) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 x) #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 x) #s(literal -1 binary32)))))
(fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (log.f32 x) (fabs.f32 x)) (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))
(fma.f32 (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x))) (/.f32 #s(literal -1 binary32) x) #s(literal 1 binary32))
(fma.f32 (/.f32 (log.f32 x) x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1 binary32))
(-.f32 (log.f32 x) #s(literal -1 binary32))
(-.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 x) #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (log.f32 x))) (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (log.f32 x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (log.f32 x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (log.f32 x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 x))) (+.f32 #s(literal 1 binary32) (pow.f32 (log.f32 x) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (log.f32 x)) (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 x) #s(literal 2 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (log.f32 x)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (log.f32 x)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (log.f32 x))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 x))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32)) (+.f32 (log.f32 x) #s(literal -1 binary32)))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (log.f32 x)))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32))) (neg.f32 (+.f32 (log.f32 x) #s(literal -1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (log.f32 x)))
(/.f32 (fma.f32 x x (*.f32 (*.f32 x x) (log.f32 x))) (*.f32 x x))
(/.f32 (fma.f32 x (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (log.f32 x) (fabs.f32 x)))) (*.f32 x (*.f32 x x)))
(/.f32 (fma.f32 x (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x))))) (*.f32 x (*.f32 x x)))
(/.f32 (+.f32 x (*.f32 #s(literal 1 binary32) (*.f32 (log.f32 x) (fabs.f32 x)))) x)
(/.f32 (+.f32 (neg.f32 x) (*.f32 #s(literal 1 binary32) (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x))))) (neg.f32 x))
(/.f32 (fma.f32 (*.f32 x (neg.f32 x)) x (*.f32 (*.f32 x (neg.f32 x)) (*.f32 (log.f32 x) (fabs.f32 x)))) (*.f32 (*.f32 x (neg.f32 x)) x))
(/.f32 (fma.f32 x (neg.f32 x) (*.f32 (*.f32 x (neg.f32 x)) (log.f32 x))) (*.f32 x (neg.f32 x)))
(/.f32 (fma.f32 (*.f32 x (neg.f32 x)) (neg.f32 x) (*.f32 (*.f32 x (neg.f32 x)) (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x))))) (*.f32 (*.f32 x (neg.f32 x)) (neg.f32 x)))
(/.f32 (+.f32 (fabs.f32 x) (*.f32 x (log.f32 x))) x)
(/.f32 (fma.f32 (fabs.f32 x) x (*.f32 x (*.f32 (log.f32 x) (fabs.f32 x)))) (*.f32 x x))
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(/.f32 (neg.f32 (+.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32)) (*.f32 x x))) (neg.f32 (+.f32 (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 3 binary32)) (pow.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 3 binary32))) (fma.f32 (/.f32 (*.f32 x x) (-.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))))) (fma.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 (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 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 (pow.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 3 binary32)) (pow.f32 (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 3 binary32))) (fma.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 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (fma.f32 (/.f32 (*.f32 x x) (-.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 (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 (/.f32 (*.f32 x x) (-.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 (fma.f32 x x #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 (fabs.f32 x) (sqrt.f32 (fma.f32 x 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 (*.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 (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 x x) (-.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 (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 1 binary32) (+.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)))) #s(literal 1 binary32))
(*.f32 (+.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)))) (-.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)))) (/.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 #s(literal -1 binary32) (-.f32 (neg.f32 (fabs.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 #s(literal -1 binary32) (pow.f32 (-.f32 (neg.f32 (fabs.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))
(*.f32 (-.f32 (neg.f32 (fabs.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32))
(*.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(*.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 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 (fma.f32 x (neg.f32 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 x x)) (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(*.f32 (neg.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))))
(*.f32 (neg.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (/.f32 #s(literal 1 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 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(*.f32 (+.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32)) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x))))
(*.f32 (pow.f32 (-.f32 (neg.f32 (fabs.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(*.f32 (pow.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (-.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 (pow.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) (pow.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)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.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)))
(*.f32 (pow.f32 (pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal -1 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 (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.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 (fma.f32 x x (-.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 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (-.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 (-.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 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #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 (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))) #s(literal 1 binary32)) (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (-.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 (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))) #s(literal 1 binary32)) (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #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 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal -1/2 binary32)))

eval134.0ms (1.2%)

Memory
2.0MiB live, 239.5MiB allocated
Compiler

Compiled 28 581 to 3 456 computations (87.9% saved)

prune300.0ms (2.7%)

Memory
-5.9MiB live, 284.2MiB allocated
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New1 06291 071
Fresh6915
Picked235
Done000
Total1 070211 091
Accuracy
99.4%
Counts
1 091 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.2%
(copysign.f32 (+.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (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 (log.f32 (/.f32 (-.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))))) x)
40.1%
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
15.0%
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
40.1%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
29.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
30.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
32.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
19.7%
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
30.6%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
31.8%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)
51.1%
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
15.2%
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))) x)
48.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))) x)
49.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x)
15.3%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
15.6%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x)
42.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x)
66.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
14.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
16.3%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x)
Compiler

Compiled 689 to 369 computations (46.4% saved)

simplify387.0ms (3.6%)

Memory
6.2MiB live, 386.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
cost-diff0
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
cost-diff288
(log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
cost-diff448
(fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
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 (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 (fabs.f32 x) x)
cost-diff0
#s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x)))
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x)
cost-diff0
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
cost-diff0
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))
cost-diff0
#s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))))
cost-diff0
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
Rules
22 374×lower-fma.f64
22 368×lower-fma.f32
3 430×lower-*.f64
3 428×lower-*.f32
2 216×lower-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048369
078358
1110356
2156331
3222329
4336329
5544329
6974329
72486329
85664329
08138329
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))
x
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(fabs.f32 x)
#s(literal 1 binary32)
(log1p.f32 (fabs.f32 x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x)))
#s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))
(/.f32 (fabs.f32 x) x)
(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)
(fabs.f32 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)
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 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
x
(fma.f32 x (neg.f32 x) #s(literal 1 binary32))
(neg.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))
(fabs.f32 x)
Outputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 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)))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
x
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(fabs.f32 x)
#s(literal 1 binary32)
(log1p.f32 (fabs.f32 x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x)))
#s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))
(/.f32 (fabs.f32 x) x)
(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)
(fabs.f32 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)
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 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(/.f32 (fma.f32 x x (fma.f32 x (neg.f32 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 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
#s(literal 1 binary32)
x
(fma.f32 x (neg.f32 x) #s(literal 1 binary32))
(neg.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))
(fabs.f32 x)

localize208.0ms (1.9%)

Memory
-20.4MiB live, 233.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
accuracy0.8461694692888948
(log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
accuracy0.9827959345982302
(fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
accuracy1.0549429759209514
(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
accuracy0.00390625
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
accuracy0.015625
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
accuracy0.8461694692888948
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
accuracy3.400283377792025
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
accuracy0
(-.f32 (fabs.f32 x) x)
accuracy0
(fabs.f32 x)
accuracy0.8461694692888948
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)))
accuracy3.2866861584181044
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))
accuracy0
(/.f32 (fabs.f32 x) x)
accuracy0
(fabs.f32 x)
accuracy2.7711545781845737
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x)))
accuracy3.0610650390274103
#s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))
accuracy0.00390625
(log1p.f32 (fabs.f32 x))
accuracy0.015625
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
accuracy0.03125
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))
accuracy1.4127346937428862
#s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))))
Samples
74.0ms125×0invalid
64.0ms103×1exit
11.0ms28×0valid
Compiler

Compiled 304 to 38 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
adjust: 36.0ms (38.2% of total)
ival-log: 11.0ms (11.7% of total)
ival-div: 9.0ms (9.6% of total)
ival-add: 9.0ms (9.6% of total)
ival-copysign: 6.0ms (6.4% of total)
ival-mult: 6.0ms (6.4% of total)
ival-hypot: 5.0ms (5.3% of total)
ival-log1p: 4.0ms (4.2% of total)
ival-sub: 3.0ms (3.2% of total)
ival-fabs: 2.0ms (2.1% of total)
ival-neg: 2.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
13.0MiB live, 50.0MiB allocated
Counts
24 → 288
Calls
Call 1
Inputs
#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())
#s(alt #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) (patch #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ())
#s(alt (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) (patch (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (patch (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) #<representation binary32>) () ())
#s(alt #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x)) (patch #s(approx (+ (log x) (/ (fabs x) x)) (/.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 #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 (/.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 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (patch (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) (patch (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) #<representation binary32>) () ())
#s(alt (copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) (patch (copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (patch (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #<representation binary32>) () ())
#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<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 (-.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 (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (taylor 0 x) (#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 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (taylor 0 x) (#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 x (taylor inf x) (#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 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#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 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) (taylor inf x) (#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 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) (taylor inf x) (#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 (* -1 x) (taylor -inf x) (#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 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#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 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#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 (* -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 #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 (/ -1/2 x) (taylor 0 x) (#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 (/ (- (* -1 (pow x 2)) 1/2) x) (taylor 0 x) (#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 (/ (- (* -1 (pow x 2)) 1/2) x) (taylor 0 x) (#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 (/ (- (* -1 (pow x 2)) 1/2) x) (taylor 0 x) (#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 (* -1 x) (taylor inf x) (#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 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor inf x) (#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 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor inf x) (#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 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor inf x) (#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 (* -1 x) (taylor -inf x) (#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 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#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 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#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 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#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 (- 1 (fabs x)) (taylor 0 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 (* 1/2 (pow x 2))) (fabs x)) (taylor 0 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 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x)) (taylor 0 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 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x)) (taylor 0 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 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 (* 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 (* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (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 (* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (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) (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 (/ (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 (+ (/ 1/2 (pow x 2)) (/ (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 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (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>) () ())) ())
Calls

72 calls:

TimeVariablePointExpression
2.0ms
x
@0
(log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x))))
1.0ms
x
@inf
(log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x))))
1.0ms
x
@inf
(+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x))))
1.0ms
x
@-inf
(+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x))))
1.0ms
x
@inf
(/ (* x 1/2) (+ (fabs x) 1))

simplify473.0ms (4.3%)

Memory
-5.1MiB live, 469.7MiB allocated
Algorithm
egg-herbie
Rules
17 124×lower-fma.f64
17 124×lower-fma.f32
5 492×lower-+.f64
5 492×lower-+.f32
4 814×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04254323
113003873
243453698
083333431
Stop Event
iter limit
node limit
Counts
288 → 284
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)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(* -1 (log (/ 1 (+ 1 (fabs x)))))
(- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x)))))
(- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(* -1 (log (/ 1 x)))
(- (/ (fabs x) x) (log (/ 1 x)))
(- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x))))
(- (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))
(* -1 (log (/ -1 x)))
(- (* -1 (/ (fabs x) x)) (log (/ -1 x)))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(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 (/ (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))))
(* (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))))
(* 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 (/ 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)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(/ (fabs x) x)
(/ (+ (fabs x) (* x (log x))) x)
(/ (+ (fabs x) (* x (log x))) x)
(/ (+ (fabs x) (* x (log x))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fabs x)
(+ (fabs x) (* -1 x))
(+ (fabs x) (* -1 x))
(+ (fabs x) (* -1 x))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
1
1
1
1
1
1
1
1
1
1
1
1
(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 (* (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))) (- 1 (fabs x)))) (* 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 (* (+ (* 1/16 (/ 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))))) (- 1 (fabs x)))) (* 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 (* (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))) (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (- 1 (fabs x)))))))
(log (/ 1 x))
(+ (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))) (/ (fabs x) x)))
(+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (+ (* 1/2 (fabs x)) (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))))) (+ (* 2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(log (/ -1 x))
(+ (log (/ -1 x)) (* -1 (/ (fabs x) x)))
(+ (log (/ -1 x)) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))
(+ (log (/ -1 x)) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* 1/2 (fabs x)) (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))))) (+ (* 2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x)))
(copysign (log (/ (+ 1 (+ (* -1 (pow x 2)) (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ (+ 1 (+ (* -1 (pow x 2)) (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ (+ 1 (+ (* -1 (pow x 2)) (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ (+ 1 (+ (* -1 (pow x 2)) (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(/ 1 (- 1 (fabs x)))
(+ (* -1/2 (/ (pow x 2) (pow (- 1 (fabs x)) 2))) (/ 1 (- 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (/ 1 (- 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (- 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (- 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))) (- 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (/ 1 (- 1 (fabs x))))
(/ 1 x)
(/ (+ 1 (/ (fabs x) x)) x)
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (* -1 (/ (fabs x) x))) x)
(/ (- (+ 1 (* -1 (/ (+ (* 1/2 (fabs x)) (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (pow x 3)))) (+ (* -1 (/ (fabs x) x)) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (/ 1/2 (pow x 2))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ (fabs x) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (* -1 (fabs x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (fabs x) x)) (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1 (fabs x))) x))) x))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(/ -1/2 x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(* -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 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 (fabs x))
(- (+ 1 (* 1/2 (pow x 2))) (fabs x))
(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x))
(- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x))
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))))
(* -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)))))
Outputs
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) 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 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 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 (*.f32 x x) (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (fma.f32 (fabs.f32 x) #s(literal 24 binary32) #s(literal 24 binary32)) (/.f32 #s(literal -3 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 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)))))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (fma.f32 (fabs.f32 x) #s(literal 24 binary32) #s(literal 24 binary32)) (/.f32 #s(literal -3 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/16 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (fma.f32 (fabs.f32 x) #s(literal -720 binary32) #s(literal -720 binary32)) (+.f32 (/.f32 #s(literal 45 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #s(literal 60 binary32)))) (*.f32 (*.f32 x x) #s(literal -1/720 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))
(* -1 (log (/ 1 x)))
(log.f32 x)
(- (/ (fabs x) x) (log (/ 1 x)))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 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))))
(+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 (fabs.f32 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))))))
(+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (fabs.f32 x) (fma.f32 x (neg.f32 x) #s(literal 1/2 binary32))) #s(literal 0 binary32) (*.f32 (fabs.f32 x) (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 x x) #s(literal -2 binary32))))) (*.f32 x (*.f32 x x))) (log.f32 x)) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) x)))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (* -1 (/ (fabs x) x)) (log (/ -1 x)))
(-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (log.f32 (/.f32 #s(literal -1 binary32) 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)))
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(+ (log (/ -1 x)) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) x)) x))
(+ (log (/ -1 x)) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* 1/2 (fabs x)) (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))))) (+ (* 2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal -3 binary32) (fma.f32 (*.f32 (fabs.f32 x) (fma.f32 x (neg.f32 x) #s(literal 1/2 binary32))) #s(literal 0 binary32) (*.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) (*.f32 x x))))) x) (*.f32 #s(literal 1/2 binary32) (+.f32 #s(literal -1 binary32) (*.f32 x x)))) x)) x))
(copysign (log (/ (+ 1 (+ (* -1 (pow x 2)) (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ (+ 1 (+ (* -1 (pow x 2)) (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ (+ 1 (+ (* -1 (pow x 2)) (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ (+ 1 (+ (* -1 (pow x 2)) (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(/ 1 (- 1 (fabs x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ (* -1/2 (/ (pow x 2) (pow (- 1 (fabs x)) 2))) (/ 1 (- 1 (fabs x))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 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))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 (fabs.f32 x) #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (- 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (- 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))) (- 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (/ 1 (- 1 (fabs x))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x (neg.f32 x)) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 (fabs.f32 x) #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ (+ 1 (/ (fabs x) x)) x)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)) x)
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (* -1 (/ (fabs x) x))) x)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) #s(literal 1 binary32))) x)
(/ (- (+ 1 (* -1 (/ (+ (* 1/2 (fabs x)) (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (pow x 3)))) (+ (* -1 (/ (fabs x) x)) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (/ 1/2 (pow x 2))))) x)
(/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fabs.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x (*.f32 x x)))) (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) #s(literal 1 binary32))) x)
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(* -1 (/ (+ 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))) (* -1 (fabs x))) x))) x))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x x #s(literal -1/2 binary32)) x) (fabs.f32 x)) x)) (neg.f32 x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (fabs x) x)) (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1 (fabs x))) x))) x))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (fabs.f32 x) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (fma.f32 x x #s(literal -1/2 binary32))) x)) x)) 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))
(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))
(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))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(*.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 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 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))
(* -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 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/.f32 (fma.f32 x (neg.f32 x) #s(literal -1/2 binary32)) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/.f32 (fma.f32 x (neg.f32 x) #s(literal -1/2 binary32)) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/.f32 (fma.f32 x (neg.f32 x) #s(literal -1/2 binary32)) x)
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (neg.f32 x))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (neg.f32 x))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (neg.f32 x))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (neg.f32 x))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (neg.f32 x))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (neg.f32 x))
(- 1 (fabs x))
(-.f32 #s(literal 1 binary32) (fabs.f32 x))
(- (+ 1 (* 1/2 (pow x 2))) (fabs x))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))
(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x))
(fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) x) x (-.f32 #s(literal 1 binary32) (fabs.f32 x)))
(- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x))
(fma.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) x) x (-.f32 #s(literal 1 binary32) (fabs.f32 x)))
x
(* x (+ 1 (* -1 (/ (fabs x) x))))
(fma.f32 (/.f32 (fabs.f32 x) x) (neg.f32 x) x)
(* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x)))
(+.f32 x (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (fabs.f32 x) x))))
(* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x))))
(*.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 (fabs.f32 x) x))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (/ (fabs x) x))))
(*.f32 x (-.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) x)))
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))
(neg.f32 (fma.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x)))))
(neg.f32 (fma.f32 x (/.f32 (+.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) (fabs.f32 x)) x) x))

rewrite289.0ms (2.6%)

Memory
14.0MiB live, 402.1MiB allocated
Rules
4 654×lower-/.f64
4 646×lower-/.f32
4 064×lower-fma.f64
4 056×lower-fma.f32
3 614×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048326
078307
1282289
22134282
08294281
Stop Event
iter limit
node limit
iter limit
Counts
24 → 653
Calls
Call 1
Inputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x)))
#s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))
(/.f32 (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 (/.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 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
(log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(log1p.f32 (fabs.f32 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 (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)))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))))
(+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
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(*.f32 (/.f32 (*.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (fma.f32 x (neg.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 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 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 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (/.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (*.f32 x (*.f32 x x)))))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #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 (*.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (/.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 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 (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (/.f32 #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 #s(literal 1 binary32) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) #s(literal -1 binary32)))

eval312.0ms (2.9%)

Memory
-0.2MiB live, 213.6MiB allocated
Compiler

Compiled 27 714 to 3 352 computations (87.9% saved)

prune300.0ms (2.8%)

Memory
10.1MiB live, 399.4MiB allocated
Pruning

29 alts after pruning (22 fresh and 7 done)

PrunedKeptTotal
New1 037101 047
Fresh11213
Picked145
Done033
Total1 039291 068
Accuracy
99.4%
Counts
1 068 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.2%
(copysign.f32 (+.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (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 (log.f32 (/.f32 (-.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))))) x)
17.3%
(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (+ (* x (neg x)) 1)) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
40.1%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
29.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
30.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
32.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
19.7%
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
30.6%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
31.8%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)
51.1%
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
15.2%
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))) x)
12.2%
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
45.5%
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 24 binary32)) (/.f32 #s(literal 3 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 (fabs.f32 x) #s(literal -1 binary32))))) (*.f32 (*.f32 x x) #s(literal 1/24 binary32)) (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x)
45.0%
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x)
48.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))) x)
49.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x)
15.3%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
15.6%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x)
42.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x)
66.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
14.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
14.3%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x)
8.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
16.3%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x)
9.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
6.3%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x)
16.3%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
17.5%
#s(approx (copysign (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs 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 1 009 to 518 computations (48.7% saved)

simplify242.0ms (2.2%)

Memory
-11.2MiB live, 307.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))
cost-diff0
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))
cost-diff0
#s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))))
cost-diff0
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x)
cost-diff0
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
cost-diff0
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))
cost-diff0
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))))
cost-diff0
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
cost-diff64
(fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))))
cost-diff96
(+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x)))
cost-diff160
(*.f32 #s(literal 0 binary32) x)
cost-diff832
(/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x)))))
cost-diff0
#s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x))))
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))))
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x)
cost-diff160
(fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
cost-diff512
(*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
Rules
8 352×lower-fma.f64
8 342×lower-fma.f32
4 110×lower-*.f64
4 098×lower-*.f32
1 786×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069718
0116622
1203601
2379587
31146560
43764560
55225560
67290560
08310544
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 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))))
(fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))
x
(*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 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 -1/24 binary32)
(*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(*.f32 x x)
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
#s(literal 1 binary32)
(fabs.f32 x)
(+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
#s(literal 3 binary32)
(/.f32 #s(literal 3 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)
(log1p.f32 (fabs.f32 x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x))))
#s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x))
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(fabs.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x)))
#s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))
(/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x)
(/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x)))))
(fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))))
(-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))
#s(literal 0 binary32)
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
(fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))
(+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x)))
(fma.f32 x x (*.f32 #s(literal 0 binary32) x))
(*.f32 #s(literal 0 binary32) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
#s(literal 1 binary32)
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
x
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(fabs.f32 x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x)
#s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))
#s(literal -1/2 binary32)
(/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))
(*.f32 x x)
x
(-.f32 #s(literal 1 binary32) (fabs.f32 x))
#s(literal 1 binary32)
(fabs.f32 x)
(neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))
(log1p.f32 (neg.f32 (fabs.f32 x)))
(neg.f32 (fabs.f32 x))
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (/.f32 (*.f32 x (fma.f32 x (*.f32 #s(literal -1/8 binary32) (+.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (/.f32 (*.f32 x (fma.f32 x (*.f32 #s(literal -1/8 binary32) (+.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))))
(fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))
(fma.f32 x (/.f32 (*.f32 x (fma.f32 x (*.f32 #s(literal -1/8 binary32) (+.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
x
(*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(/.f32 (*.f32 x (fma.f32 x (*.f32 #s(literal -1/8 binary32) (+.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 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 -1/24 binary32)
(*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(*.f32 x x)
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
#s(literal 1 binary32)
(fabs.f32 x)
(+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
#s(literal 3 binary32)
(/.f32 #s(literal 3 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)
(log1p.f32 (fabs.f32 x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x (fabs.f32 x))))
#s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))
#s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x (fabs.f32 x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x))
(/.f32 x (fabs.f32 x))
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(fabs.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x (fabs.f32 x))))
#s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))
#s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x (fabs.f32 x)))
(/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x)
(/.f32 x (fabs.f32 x))
(/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x)))))
(fabs.f32 x)
(fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))))
(fabs.f32 (*.f32 x (*.f32 x x)))
(-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))
(*.f32 x (*.f32 x (neg.f32 x)))
#s(literal 0 binary32)
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
(fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))
(*.f32 x x)
(+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x)))
(*.f32 x x)
(fma.f32 x x (*.f32 #s(literal 0 binary32) x))
(*.f32 x x)
(*.f32 #s(literal 0 binary32) x)
#s(literal 0 binary32)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))))
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
#s(literal 1 binary32)
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
x
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(fabs.f32 x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (+.f32 (fabs.f32 x) #s(literal -1 binary32))))) (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
#s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))))
#s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (+.f32 (fabs.f32 x) #s(literal -1 binary32))))) (log1p.f32 (neg.f32 (fabs.f32 x)))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))
(-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (+.f32 (fabs.f32 x) #s(literal -1 binary32))))) (log1p.f32 (neg.f32 (fabs.f32 x))))
#s(literal -1/2 binary32)
(/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))
(*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) (fabs.f32 x))))
(*.f32 x x)
x
(-.f32 #s(literal 1 binary32) (fabs.f32 x))
#s(literal 1 binary32)
(fabs.f32 x)
(neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))
(log1p.f32 (neg.f32 (fabs.f32 x)))
(neg.f32 (fabs.f32 x))

localize432.0ms (4%)

Memory
-4.7MiB live, 237.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(fabs.f32 x)
accuracy0.00390625
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))
accuracy0.015625
(/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))
accuracy0.12424676934741197
#s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))))
accuracy0
(*.f32 x #s(literal 1/2 binary32))
accuracy0
(fabs.f32 x)
accuracy0.061152669707804606
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))
accuracy5.904022590811836
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))))
accuracy0.01171875
(*.f32 x (*.f32 x x))
accuracy4.352970378245418
(/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x)))))
accuracy7.28964580382256
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x)))
accuracy7.390556857185425
#s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))
accuracy0
(fabs.f32 x)
accuracy0.03515625
(*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x))
accuracy7.28964580382256
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x))))
accuracy7.390556857185425
#s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))
accuracy0.01953125
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
accuracy0.0234375
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
accuracy0.03142341452874396
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))))
accuracy0.053066259768442016
(*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
Samples
111.0ms195×0invalid
66.0ms46×1valid
6.0ms15×0valid
Compiler

Compiled 498 to 63 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 160.0ms
ival-add: 48.0ms (30% of total)
ival-sub: 32.0ms (20% of total)
ival-mult: 17.0ms (10.6% of total)
ival-div: 15.0ms (9.4% of total)
ival-log: 14.0ms (8.8% of total)
ival-hypot: 6.0ms (3.8% of total)
ival-copysign: 6.0ms (3.8% of total)
adjust: 5.0ms (3.1% of total)
const: 4.0ms (2.5% of total)
ival-fabs: 4.0ms (2.5% of total)
ival-log1p: 4.0ms (2.5% of total)
ival-neg: 3.0ms (1.9% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series91.0ms (0.8%)

Memory
19.7MiB live, 56.4MiB allocated
Counts
28 → 336
Calls
Call 1
Inputs
#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (patch (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) #<representation binary32>) () ())
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)) (patch (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)) #<representation binary32>) () ())
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x))) (patch #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x))) #<representation binary32>) () ())
#s(alt (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) (patch (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 0 binary32) x) (patch (*.f32 #s(literal 0 binary32) x) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))) (patch (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))) #<representation binary32>) () ())
#s(alt (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (patch (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) #<representation binary32>) () ())
#s(alt (copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) #<representation binary32>) () ())
#s(alt (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) (patch (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) #<representation binary32>) () ())
#s(alt #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) (patch #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) (patch (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) #<representation binary32>) () ())
#s(alt (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x) (patch (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x) #<representation binary32>) () ())
#s(alt #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) (patch #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) (patch (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (patch (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (patch (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (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 (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())
#s(alt #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x)) (patch #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x)) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) #<representation binary32>) () ())
#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())
#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())
Outputs
#s(alt (* 1/2 (/ x (+ 1 (fabs x)))) (taylor 0 x) (#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (taylor 0 x) (#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (taylor 0 x) (#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (taylor 0 x) (#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())) ())
#s(alt (* -1/24 (/ (* (pow x 3) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (taylor inf x) (#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) (taylor inf x) (#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) (taylor inf x) (#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) (taylor inf x) (#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())) ())
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#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
Calls

84 calls:

TimeVariablePointExpression
5.0ms
x
@0
(+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x))))))
3.0ms
x
@inf
(+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x))))))
3.0ms
x
@-inf
(+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x))))))
2.0ms
x
@-inf
(* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))
1.0ms
x
@0
(* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))

simplify540.0ms (4.9%)

Memory
19.0MiB live, 421.0MiB allocated
Algorithm
egg-herbie
Rules
12 198×lower-fma.f64
12 198×lower-fma.f32
5 082×lower-*.f64
5 082×lower-*.f32
4 374×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02964410
18434099
226733868
375143868
080703655
Stop Event
iter limit
node limit
Counts
336 → 335
Calls
Call 1
Inputs
(* 1/2 (/ x (+ 1 (fabs x))))
(* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))
(* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))
(* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))
(* -1/24 (/ (* (pow x 3) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* -1/24 (/ (* (pow x 3) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* -1 (* (pow x 3) (- (* 1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))))
(* -1 (* (pow x 3) (- (* 1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))))
(* -1 (* (pow x 3) (- (* 1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))))
(/ 1/2 (+ 1 (fabs x)))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (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)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(/ (fabs x) x)
(/ (+ (fabs x) (* x (log x))) x)
(/ (+ (fabs x) (* x (log x))) x)
(/ (+ (fabs x) (* x (log x))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(/ (fabs (neg (pow x 3))) (fabs (pow x 2)))
(/ (fabs (neg (pow x 3))) (fabs (pow x 2)))
(/ (fabs (neg (pow x 3))) (fabs (pow x 2)))
(/ (fabs (neg (pow x 3))) (fabs (pow x 2)))
(/ (fabs (neg (pow x 3))) (fabs (pow x 2)))
(/ (fabs (neg (pow x 3))) (fabs (pow x 2)))
(/ (fabs (neg (pow x 3))) (fabs (pow x 2)))
(/ (fabs (neg (pow x 3))) (fabs (pow x 2)))
(/ (fabs (* -1 (pow x 3))) (fabs (pow x 2)))
(/ (fabs (* -1 (pow x 3))) (fabs (pow x 2)))
(/ (fabs (* -1 (pow x 3))) (fabs (pow x 2)))
(/ (fabs (* -1 (pow x 3))) (fabs (pow x 2)))
0
0
0
0
0
0
0
0
0
0
0
0
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(fabs (neg (pow x 3)))
(fabs (neg (pow x 3)))
(fabs (neg (pow x 3)))
(fabs (neg (pow x 3)))
(fabs (neg (pow x 3)))
(fabs (neg (pow x 3)))
(fabs (neg (pow x 3)))
(fabs (neg (pow x 3)))
(fabs (* -1 (pow x 3)))
(fabs (* -1 (pow x 3)))
(fabs (* -1 (pow x 3)))
(fabs (* -1 (pow x 3)))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(copysign (log (/ (+ 1 (+ (* -1 (pow x 2)) (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ (+ 1 (+ (* -1 (pow x 2)) (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ (+ 1 (+ (* -1 (pow x 2)) (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ (+ 1 (+ (* -1 (pow x 2)) (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(log (/ 1 (- 1 (fabs x))))
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(log (/ 1 x))
(+ (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))) (/ (fabs x) x)))
(+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (+ (* 1/2 (fabs x)) (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))))) (+ (* 2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(log (/ -1 x))
(+ (log (/ -1 x)) (* -1 (/ (fabs x) x)))
(+ (log (/ -1 x)) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))
(+ (log (/ -1 x)) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* 1/2 (fabs x)) (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))))) (+ (* 2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 (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)))) (log (- 1 (fabs x))))
(* -1/2 (/ (pow x 2) (- 1 (fabs x))))
(* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) (* 1/2 (/ 1 (- 1 (fabs x))))))
(* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) (* 1/2 (/ 1 (- 1 (fabs x))))))
(* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) (* 1/2 (/ 1 (- 1 (fabs x))))))
(* -1/2 (/ (pow x 2) (- 1 (fabs x))))
(* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) (* 1/2 (/ 1 (- 1 (fabs x))))))
(* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) (* 1/2 (/ 1 (- 1 (fabs x))))))
(* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) (* 1/2 (/ 1 (- 1 (fabs x))))))
(/ (pow x 2) (- 1 (fabs x)))
(/ (pow x 2) (- 1 (fabs x)))
(/ (pow x 2) (- 1 (fabs x)))
(/ (pow x 2) (- 1 (fabs x)))
(/ (pow x 2) (- 1 (fabs x)))
(/ (pow x 2) (- 1 (fabs x)))
(/ (pow x 2) (- 1 (fabs x)))
(/ (pow x 2) (- 1 (fabs x)))
(/ (pow x 2) (- 1 (fabs x)))
(/ (pow x 2) (- 1 (fabs x)))
(/ (pow x 2) (- 1 (fabs x)))
(/ (pow x 2) (- 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(/ (fabs x) x)
(/ (+ (fabs x) (* x (log x))) x)
(/ (+ (fabs x) (* x (log x))) x)
(/ (+ (fabs x) (* x (log x))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
Outputs
(* 1/2 (/ x (+ 1 (fabs x))))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))
(*.f32 x (fma.f32 x (*.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))
(*.f32 x (fma.f32 x (*.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))
(*.f32 x (fma.f32 x (*.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(* -1/24 (/ (* (pow x 3) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(*.f32 (*.f32 x (*.f32 x x)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(*.f32 x (fma.f32 x (*.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(*.f32 x (fma.f32 x (*.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(*.f32 x (fma.f32 x (*.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(* -1/24 (/ (* (pow x 3) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(*.f32 (*.f32 x (*.f32 x x)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(* -1 (* (pow x 3) (- (* 1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))))
(neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))))
(* -1 (* (pow x 3) (- (* 1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))))
(neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))))
(* -1 (* (pow x 3) (- (* 1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))))
(neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(fma.f32 x (*.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(fma.f32 x (*.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(fma.f32 x (*.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(*.f32 (*.f32 x x) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(fma.f32 x (*.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(fma.f32 x (*.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(fma.f32 x (*.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(*.f32 (*.f32 x x) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(fma.f32 x (*.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(fma.f32 x (*.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(fma.f32 x (*.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 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 (*.f32 x x) (fma.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 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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(*.f32 (*.f32 x x) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(*.f32 (*.f32 x x) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(*.f32 (*.f32 x x) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(*.f32 (*.f32 x x) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(*.f32 (*.f32 x x) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(*.f32 (*.f32 x x) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(*.f32 (*.f32 x x) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(*.f32 (*.f32 x x) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(*.f32 (*.f32 x x) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(*.f32 (*.f32 x x) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(*.f32 (*.f32 x x) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(*.f32 (*.f32 x x) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(/ (fabs x) x)
(/.f32 (fabs.f32 x) x)
(/ (+ (fabs x) (* x (log x))) x)
(/.f32 (fma.f32 x (log.f32 x) (fabs.f32 x)) x)
(/ (+ (fabs x) (* x (log x))) x)
(/.f32 (fma.f32 x (log.f32 x) (fabs.f32 x)) x)
(/ (+ (fabs x) (* x (log x))) x)
(/.f32 (fma.f32 x (log.f32 x) (fabs.f32 x)) x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+.f32 (/.f32 (fabs.f32 x) x) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+.f32 (/.f32 (fabs.f32 x) x) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+.f32 (/.f32 (fabs.f32 x) x) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 x)))))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 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 (*.f32 x x) (fma.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 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 (*.f32 x x) (fma.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 (*.f32 x x) (*.f32 (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 (/.f32 #s(literal 45 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 30 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))))) #s(literal 1/720 binary32)) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f32 (/.f32 (fabs.f32 x) x) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (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))))
(+.f32 (/.f32 (fabs.f32 x) x) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (fma.f32 (*.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (*.f32 x x) #s(literal -3 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 x x))) (log.f32 x))))
(* -1 (log (/ -1 x)))
(neg.f32 (neg.f32 (log.f32 (neg.f32 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (neg.f32 x)))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) x) (fabs.f32 x)) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 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)))
(neg.f32 (+.f32 (neg.f32 (log.f32 (neg.f32 x))) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (*.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (*.f32 x x) #s(literal -3 binary32))) (/.f32 #s(literal -1/6 binary32) x) (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) x)) x)))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(* 1/2 x)
(*.f32 #s(literal 1/2 binary32) x)
(* 1/2 x)
(*.f32 #s(literal 1/2 binary32) x)
(* 1/2 x)
(*.f32 #s(literal 1/2 binary32) x)
(* 1/2 x)
(*.f32 #s(literal 1/2 binary32) x)
(* 1/2 x)
(*.f32 #s(literal 1/2 binary32) x)
(* 1/2 x)
(*.f32 #s(literal 1/2 binary32) x)
(* 1/2 x)
(*.f32 #s(literal 1/2 binary32) x)
(* 1/2 x)
(*.f32 #s(literal 1/2 binary32) x)
(* 1/2 x)
(*.f32 #s(literal 1/2 binary32) x)
(* 1/2 x)
(*.f32 #s(literal 1/2 binary32) x)
(* 1/2 x)
(*.f32 #s(literal 1/2 binary32) x)
(* 1/2 x)
(*.f32 #s(literal 1/2 binary32) x)

rewrite202.0ms (1.9%)

Memory
-3.7MiB live, 396.8MiB allocated
Rules
3 636×lower-fma.f64
3 626×lower-fma.f32
2 786×lower-*.f64
2 774×lower-*.f32
1 950×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068526
0114477
1467436
24067379
09061369
Stop Event
iter limit
node limit
iter limit
Counts
28 → 619
Calls
Call 1
Inputs
(*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x))))
#s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))
(/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x)))))
(*.f32 #s(literal 0 binary32) x)
(+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x)))
(fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))))
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x)
#s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))
(/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))
(*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(fabs.f32 x)
#s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x)))
(*.f32 x (*.f32 x x))
(*.f32 x #s(literal 1/2 binary32))
Outputs
(+.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -1/24 binary32) x)) (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))))
(+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -1/24 binary32) x)))
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(*.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32))
(*.f32 (*.f32 x (*.f32 x x)) (/.f32 x x))
(*.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 3/2 binary32)))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))
(*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))))
(*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 3 binary32)))
(*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 3/2 binary32)))
(*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (pow.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 3 binary32)))
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 3 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32)) (*.f32 x (*.f32 x x)))
(*.f32 (pow.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 3 binary32)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))
(*.f32 (pow.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal 3 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))))
(*.f32 (fabs.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) (fabs.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))))
(*.f32 (fabs.f32 (pow.f32 x #s(literal 3/2 binary32))) (fabs.f32 (pow.f32 x #s(literal 3/2 binary32))))
(*.f32 x #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) x)

eval226.0ms (2.1%)

Memory
2.6MiB live, 396.2MiB allocated
Compiler

Compiled 42 455 to 4 797 computations (88.7% saved)

prune303.0ms (2.8%)

Memory
-3.5MiB live, 481.6MiB allocated
Pruning

50 alts after pruning (45 fresh and 5 done)

PrunedKeptTotal
New1 406311 437
Fresh31417
Picked505
Done257
Total1 416501 466
Accuracy
99.4%
Counts
1 466 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.2%
(copysign.f32 (+.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (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 (log.f32 (/.f32 (-.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))))) x)
17.3%
(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (+ (* x (neg x)) 1)) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
40.1%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
29.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
30.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
32.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
19.9%
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) x) #s(literal 1 binary32)))) x)
19.9%
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) x))) x)
19.8%
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (neg.f32 x))))) x)
30.6%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
31.8%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)
15.2%
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))) x)
12.2%
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
47.9%
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal -1/2 binary32) (neg.f32 (log1p.f32 x)))) x)
47.7%
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (log1p.f32 x))) x)
18.1%
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x))))))))) x)
47.4%
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 x))))) x)
12.2%
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
16.3%
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x)
15.3%
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (neg.f32 x)))))) x)
48.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))) x)
15.6%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x)
42.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x)
66.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
14.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
5.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
2.7%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) x))) x)
3.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x)
8.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x)
8.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x)
14.3%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x)
5.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x)
7.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x)
4.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x)
7.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
16.3%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x)
4.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x)
5.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x)
7.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x)
8.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x)
9.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
7.6%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x)
6.3%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x)
3.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x)
4.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x)
5.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x)
16.3%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x)
6.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x)
17.5%
#s(approx (copysign (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs 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 2 307 to 766 computations (66.8% saved)

regimes44.0ms (0.4%)

Memory
1.1MiB live, 81.5MiB allocated
Counts
71 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x 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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (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 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) x) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (neg.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)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (neg.f32 x)))))) x)
#s(approx (copysign (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs 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 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal -1/2 binary32) (neg.f32 (log1p.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 x))))) x)
(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (+ (* x (neg x)) 1)) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.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))))) 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 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x))))))))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (log1p.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (-.f32 (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (+.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x)
(copysign.f32 (+.f32 (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 24 binary32)) (/.f32 #s(literal 3 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 (fabs.f32 x) #s(literal -1 binary32))))) (*.f32 (*.f32 x x) #s(literal 1/24 binary32)) (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 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 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (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:

21.0ms
x
20.0ms
(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 15 to 10 computations (33.3% saved)

regimes42.0ms (0.4%)

Memory
9.3MiB live, 82.1MiB allocated
Counts
70 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x 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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (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 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) x) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (neg.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)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (neg.f32 x)))))) x)
#s(approx (copysign (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs 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 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal -1/2 binary32) (neg.f32 (log1p.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 x))))) x)
(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (+ (* x (neg x)) 1)) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.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))))) 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 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x))))))))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (log1p.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (-.f32 (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (+.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x)
(copysign.f32 (+.f32 (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 24 binary32)) (/.f32 #s(literal 3 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 (fabs.f32 x) #s(literal -1 binary32))))) (*.f32 (*.f32 x x) #s(literal 1/24 binary32)) (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 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 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (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:

20.0ms
x
19.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
98.2%3x
98.2%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes83.0ms (0.8%)

Memory
-24.2MiB live, 57.6MiB allocated
Counts
65 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x 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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (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 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) x) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (neg.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)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (neg.f32 x)))))) x)
#s(approx (copysign (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs 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 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal -1/2 binary32) (neg.f32 (log1p.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 x))))) x)
(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (+ (* x (neg x)) 1)) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.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))))) 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 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x))))))))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (log1p.f32 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 (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (log1p.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:

49.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
31.0ms
x
Results
AccuracySegmentsBranch
98.1%3x
98.1%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes38.0ms (0.3%)

Memory
5.6MiB live, 79.0MiB allocated
Counts
64 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x 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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (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 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) x) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (neg.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)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (neg.f32 x)))))) x)
#s(approx (copysign (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs 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 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal -1/2 binary32) (neg.f32 (log1p.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 x))))) x)
(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (+ (* x (neg x)) 1)) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.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))))) 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 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (/.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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (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:

19.0ms
x
17.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
97.6%3x
97.6%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes34.0ms (0.3%)

Memory
23.6MiB live, 63.7MiB allocated
Counts
51 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x 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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (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 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) x) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (neg.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)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (neg.f32 x)))))) x)
#s(approx (copysign (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs 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 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal -1/2 binary32) (neg.f32 (log1p.f32 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 (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal -1/2 binary32) (neg.f32 (log1p.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:

18.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
14.0ms
x
Results
AccuracySegmentsBranch
97.6%3x
97.6%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes33.0ms (0.3%)

Memory
-6.3MiB live, 66.1MiB allocated
Counts
50 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x 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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (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 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) x) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (neg.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)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (neg.f32 x)))))) x)
#s(approx (copysign (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs 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)
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
x
14.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
95.5%3x
95.5%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes26.0ms (0.2%)

Memory
19.6MiB live, 55.2MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x 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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (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 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) x) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (neg.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:

13.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
12.0ms
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 15 to 10 computations (33.3% saved)

regimes312.0ms (2.9%)

Memory
-139.4MiB live, 45.4MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x 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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (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 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) x) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (neg.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 x (fabs.f32 x)))) x)
Calls

2 calls:

260.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
12.0ms
x
Results
AccuracySegmentsBranch
94.9%3x
94.9%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory
8.4MiB live, 45.9MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x 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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 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 x (fabs.f32 x)))) x)
Calls

2 calls:

11.0ms
x
9.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
81.3%2x
81.3%2(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory
7.6MiB live, 45.9MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x 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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.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:

10.0ms
x
10.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
66.8%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
66.8%1x
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes23.0ms (0.2%)

Memory
-0.3MiB live, 42.2MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Calls

2 calls:

13.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
9.0ms
x
Results
AccuracySegmentsBranch
22.7%2(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
22.7%2x
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory
7.7MiB live, 46.1MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) x))) x)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x)
Calls

2 calls:

10.0ms
x
7.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
16.3%1x
16.3%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-17.3MiB live, 19.2MiB allocated
Accuracy

Total -3.1b remaining (-11.6%)

Threshold costs -3.1b (-11.6%)

Counts
9 → 1
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x)
Outputs
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x 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
16.3%1x
16.3%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.12982110679149628
2.0337069034576416
0.0ms
-2.342763662338257
-0.6734638810157776
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.12982110679149628
2.0337069034576416
0.0ms
-2.342763662338257
-0.6734638810157776
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.12982110679149628
2.0337069034576416
0.0ms
-0.6734638810157776
-0.2839053273200989
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.12982110679149628
2.0337069034576416
0.0ms
-2.342763662338257
-0.6734638810157776
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.12982110679149628
2.0337069034576416
0.0ms
-0.6734638810157776
-0.2839053273200989
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.12982110679149628
2.0337069034576416
0.0ms
-0.6734638810157776
-0.2839053273200989
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.12982110679149628
2.0337069034576416
0.0ms
-2.342763662338257
-0.6734638810157776
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.12982110679149628
2.0337069034576416
0.0ms
-2.342763662338257
-0.6734638810157776
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.130186066031456
3.7557568550109863
Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.12982110679149628
2.0337069034576416
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify18.0ms (0.2%)

Memory
1.4MiB live, 37.1MiB allocated
Algorithm
egg-herbie
Rules
32×+-commutative_binary32
18×*-commutative_binary32
sub-neg_binary32
neg-sub0_binary32
neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137986
1165986
2171986
3174986
4175986
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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (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 -1/2 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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (log1p.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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (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 -1/2 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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal -1/2 binary32) (neg.f32 (log1p.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 -1/2 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 13421773/67108864 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 13421773/67108864 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 13421773/67108864 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 x (fabs.f32 x)))) x)))
(if (<=.f32 x #s(literal 13421773/67108864 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 x (fabs.f32 x)))) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (/.f32 #s(literal 1/2 binary32) (+.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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.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 -1/2 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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (log1p.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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.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 -1/2 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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal -1/2 binary32) (neg.f32 (log1p.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 -1/2 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 13421773/67108864 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 13421773/67108864 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 13421773/67108864 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 x (fabs.f32 x)))) x)))
(if (<=.f32 x #s(literal 13421773/67108864 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 x (fabs.f32 x)))) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x)

soundness2.2s (20.5%)

Memory
4.3MiB live, 1 143.7MiB allocated
Rules
24 610×lower-fma.f64
24 610×lower-fma.f32
17 124×lower-fma.f64
17 124×lower-fma.f32
15 482×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0944
01644
15144
232444
3341944
0835239
03534054
110823798
236093613
085053345
04254323
113003873
243453698
083333431
068526
0114477
1467436
24067379
09061369
0169782
1490754
21511741
35413691
08421635
048326
078307
1282289
22134282
08294281
Stop Event
fuel
iter limit
node limit
iter 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 995 to 303 computations (69.5% saved)

preprocess110.0ms (1%)

Memory
-20.6MiB live, 250.7MiB allocated
Compiler

Compiled 1 426 to 250 computations (82.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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