Rust f32::asinh

Time bar (total: 8.7s)

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)

sample484.0ms (5.6%)

Memory
-4.9MiB live, 664.8MiB allocated
Samples
276.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-asinh: 128.0ms (93.6% of total)
ival-true: 6.0ms (4.4% of total)
ival-assert: 3.0ms (2.2% of total)
Bogosity

explain250.0ms (2.9%)

Memory
-11.8MiB live, 309.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1120-2(-0.029841803014278412)(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
600-0-(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)))))sensitivity1083
sqrt.f32(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))oflow-rescue600
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow60
(*.f32 x x)overflow60
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue20
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))overflow2
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow60
(*.f32 x x)overflow60
Confusion
Predicted +Predicted -
+1682
-086
Precision
1.0
Recall
0.9882352941176471
Confusion?
Predicted +Predicted MaybePredicted -
+16820
-0185
Precision?
0.9941520467836257
Recall?
1.0
Freqs
test
numberfreq
088
1166
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
79.0ms152×1valid
31.0ms360×0valid
Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-log: 44.0ms (46.5% of total)
ival-hypot: 29.0ms (30.6% of total)
ival-add: 6.0ms (6.3% of total)
ival-copysign: 5.0ms (5.3% of total)
ival-mult: 4.0ms (4.2% of total)
adjust: 3.0ms (3.2% of total)
ival-fabs: 3.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess17.0ms (0.2%)

Memory
-10.8MiB live, 32.4MiB allocated
Algorithm
egg-herbie
Rules
12×sub-neg
lower-+.f64
+-commutative
lift-+.f32
lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 12 to 9 computations (25% saved)

simplify4.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize40.0ms (0.5%)

Memory
13.2MiB live, 87.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(fabs.f32 x)
accuracy0.03125
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy6.4617673091558725
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
accuracy11.246467365492682
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
Samples
17.0ms76×1valid
16.0ms180×0valid
Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-log: 7.0ms (27.7% of total)
ival-hypot: 6.0ms (23.8% of total)
ival-copysign: 3.0ms (11.9% of total)
ival-add: 3.0ms (11.9% of total)
ival-fabs: 3.0ms (11.9% of total)
ival-mult: 2.0ms (7.9% of total)
adjust: 1.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (fabs x)) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) (taylor inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) (taylor inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) (taylor inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (/ (fabs x) x))) (taylor inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) (taylor inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ())
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ())
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ())
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) (taylor -inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) (taylor -inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) (taylor -inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) (taylor -inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) (taylor -inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ())
Calls

3 calls:

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

simplify254.0ms (2.9%)

Memory
-10.1MiB live, 280.9MiB allocated
Algorithm
egg-herbie
Rules
24 610×lower-fma.f64
24 610×lower-fma.f32
4 994×lower-*.f64
4 994×lower-*.f32
4 040×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite558.0ms (6.4%)

Memory
-132.0MiB live, 319.1MiB 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
(*.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (neg.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))))))
(*.f32 (exp.f32 (log1p.f32 (pow.f32 x #s(literal 6 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (neg.f32 x) x (pow.f32 x #s(literal 4 binary32)))))))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (pow.f32 x #s(literal 8 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 2 binary32)))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 12 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 8 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (+.f32 #s(literal 1 binary32) x))
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/4 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))
(*.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))
(*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))
(sqrt.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (exp.f32 (log1p.f32 (pow.f32 x #s(literal 4 binary32)))) (exp.f32 (log1p.f32 (*.f32 (neg.f32 x) x))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (exp.f32 (log1p.f32 (*.f32 (neg.f32 x) x))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) (exp.f32 (log.f32 (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))))
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (exp.f32 (log1p.f32 (pow.f32 x #s(literal 6 binary32)))) (exp.f32 (log1p.f32 (fma.f32 (neg.f32 x) x (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))) (-.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -2 binary32))) (+.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 12 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -3 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -2 binary32)) (*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))
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(/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32))) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32))) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 9/2 binary32)) (pow.f32 x #s(literal 9 binary32))) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 3/2 binary32)))))
(/.f32 (fma.f32 (neg.f32 x) x (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(-.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(-.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (/.f32 (*.f32 x x) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)))) (fma.f32 x x (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (/.f32 (*.f32 x x) (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (fabs.f32 x))
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32)) (fabs.f32 x))
(fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (fabs.f32 x))
(fma.f32 (neg.f32 x) (/.f32 (neg.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (fabs.f32 x) (/.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 x (/.f32 x (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(pow.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal -1 binary32))
(+.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(exp.f32 (*.f32 (neg.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (fma.f32 (neg.f32 x) x (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (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)))))
(neg.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(neg.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (exp.f32 (log.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (pow.f32 x #s(literal 6 binary32))))) (exp.f32 (log.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (sqrt.f32 (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log1p.f32 (*.f32 x x)))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 4 binary32)) #s(literal 1/8 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(exp.f32 (-.f32 (log1p.f32 (*.f32 x x)) (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(exp.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (log1p.f32 (*.f32 x x))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (*.f32 x x))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(pow.f32 (fabs.f32 x) #s(literal 1 binary32))
(fabs.f32 (-.f32 x #s(literal 0 binary32)))
(fabs.f32 (neg.f32 x))
(fabs.f32 x)
(exp.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (fabs.f32 x)))

eval49.0ms (0.6%)

Memory
-13.1MiB live, 151.1MiB allocated
Compiler

Compiled 8 272 to 1 651 computations (80% saved)

prune14.0ms (0.2%)

Memory
12.0MiB live, 50.4MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New33613349
Fresh000
Picked011
Done000
Total33614350
Accuracy
98.4%
Counts
350 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
29.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))))) x)
28.2%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
43.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
30.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
33.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
43.4%
(copysign.f32 (log.f32 (+.f32 (exp.f32 (log.f32 (fabs.f32 x))) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
30.8%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
28.6%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))) x)
30.9%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
14.1%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
15.3%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
14.2%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Compiler

Compiled 304 to 229 computations (24.7% saved)

simplify305.0ms (3.5%)

Memory
-14.6MiB live, 330.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))))
cost-diff0
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))))) x)
cost-diff352
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))
cost-diff0
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))
cost-diff0
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))
cost-diff0
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))))
cost-diff0
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 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
(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
24 052×lower-fma.f64
24 052×lower-fma.f32
5 932×lower-+.f64
5 924×lower-+.f32
4 528×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037307
061307
183307
2114307
3161307
4249307
5578297
61045297
72069297
83141297
93928297
104208297
114345297
124384297
134393297
144394297
154394297
164394297
09148282
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
x
(copysign.f32 (log.f32 #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 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
x
(+.f32 (fabs.f32 x) x)
(fabs.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))))
(+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))))
(fabs.f32 x)
x
(sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x))
(-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) x)
(-.f32 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 (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 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (+.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))))
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (+.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (+.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)))
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))
(-.f32 (+.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
x
(+.f32 (fabs.f32 x) x)
(fabs.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))))
(log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (fabs.f32 x)))
(+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))))
(+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (fabs.f32 x))
(fabs.f32 x)
x
(sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))
(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) x))
(-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) x)
(-.f32 x #s(literal -1 binary32))
(-.f32 x #s(literal 1 binary32))

localize159.0ms (1.8%)

Memory
-2.0MiB live, 292.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.9792910345666016
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x))
accuracy1.1023000075752831
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))
accuracy1.7333419560386922
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))))
accuracy2.9931571449546683
(sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))
accuracy0
(fabs.f32 x)
accuracy0.0078125
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))
accuracy1.7333419560386922
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))))
accuracy2.253364914882105
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))
accuracy0
(-.f32 (fabs.f32 x) x)
accuracy0
(fabs.f32 x)
accuracy1.7333419560386922
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)))
accuracy10.685593665773162
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.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)
accuracy7.400293950014838
#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)
accuracy5.40174959257991
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
accuracy8.152711153522434
(log1p.f32 (fabs.f32 x))
Samples
81.0ms90×0valid
28.0ms40×1exit
28.0ms126×0invalid
Compiler

Compiled 255 to 27 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-add: 44.0ms (41.2% of total)
ival-log: 31.0ms (29% of total)
ival-copysign: 6.0ms (5.6% of total)
ival-div: 5.0ms (4.7% of total)
ival-hypot: 5.0ms (4.7% of total)
ival-sub: 4.0ms (3.7% of total)
ival-pow: 4.0ms (3.7% of total)
adjust: 3.0ms (2.8% of total)
ival-fabs: 2.0ms (1.9% of total)
ival-log1p: 2.0ms (1.9% of total)
ival-sqrt: 2.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series140.0ms (1.6%)

Memory
9.6MiB live, 321.4MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())
#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())
#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) #<representation binary32>) () ())
#s(alt (log.f32 x) (patch (log.f32 x) #<representation binary32>) () ())
#s(alt (copysign.f32 (log.f32 #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 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))) x) #<representation binary32>) () ())
#s(alt (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))) (patch (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)) (patch (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))) (patch (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))))) x) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))))) #<representation binary32>) () ())
#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))) (patch (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (patch (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())
Outputs
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
53.0ms
x
@-inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (/ 1/2 x) (+ (fabs x) x)) (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1)) (copysign (log (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))))) x) (log (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))))) (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1)))) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) (/ (- (pow x 4) 1) (+ 1 x)))
51.0ms
x
@0
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (/ 1/2 x) (+ (fabs x) x)) (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1)) (copysign (log (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))))) x) (log (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))))) (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1)))) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) (/ (- (pow x 4) 1) (+ 1 x)))
24.0ms
x
@inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (/ 1/2 x) (+ (fabs x) x)) (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1)) (copysign (log (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))))) x) (log (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))))) (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1)))) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) (/ (- (pow x 4) 1) (+ 1 x)))

simplify224.0ms (2.6%)

Memory
19.0MiB live, 260.0MiB allocated
Algorithm
egg-herbie
Rules
9 680×lower-fma.f64
9 680×lower-fma.f32
4 314×lower-*.f64
4 314×lower-*.f32
2 774×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03123372
18743170
227333119
083392873
Stop Event
iter limit
node limit
Counts
252 → 246
Calls
Call 1
Inputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(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)))))))
(log x)
(log x)
(log x)
(log x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fabs x)
(+ (fabs x) (* -1 x))
(+ (fabs x) (* -1 x))
(+ (fabs x) (* -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)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(/ 1/2 x)
(/ (+ 1/2 (* x (fabs x))) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) x)
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(copysign (log (+ (fabs x) (sqrt (/ (- (pow x 4) 1) (* (+ 1 x) (- x 1)))))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- (pow x 4) 1) (* (+ 1 x) (- x 1)))))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- (pow x 4) 1) (* (+ 1 x) (- x 1)))))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- (pow x 4) 1) (* (+ 1 x) (- x 1)))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
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(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
-1
(- x 1)
(- (* x (+ 1 (* -1 x))) 1)
(- (* x (+ 1 (* x (- x 1)))) 1)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (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 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) 1))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(copysign (log (+ (fabs x) (sqrt (/ (- (pow x 4) 1) (* (+ 1 x) (- x 1)))))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- (pow x 4) 1) (* (+ 1 x) (- x 1)))))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- (pow x 4) 1) (* (+ 1 x) (- x 1)))))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- (pow x 4) 1) (* (+ 1 x) (- x 1)))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 x)))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 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)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -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)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(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) (sqrt (/ (- (pow x 4) 1) (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))))) x)
(copysign (log (+ (fabs x) (* (sqrt -1) (sqrt (/ (- (pow x 4) 1) (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))))) x)
(copysign (log (+ (fabs x) (* (sqrt -1) (sqrt (/ (- (pow x 4) 1) (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))))) x)
(copysign (log (+ (fabs x) (* (sqrt -1) (sqrt (/ (- (pow x 4) 1) (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))))) x)
(+ (log (pow (sqrt -1) 2)) (* -1 (log (/ -1 x))))
(+ (log (pow (sqrt -1) 2)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) (* x (pow (sqrt -1) 2))))))
(+ (log (pow (sqrt -1) 2)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1/2 (/ (- (* -1 (/ (pow (fabs x) 2) (pow (sqrt -1) 4))) (/ 1 (pow (sqrt -1) 2))) x)) (/ (fabs x) (pow (sqrt -1) 2))) x))))
(+ (log (pow (sqrt -1) 2)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* 2 (/ (pow (fabs x) 3) (pow (sqrt -1) 6))) (* 3 (/ (fabs x) (pow (sqrt -1) 4)))) x)) (* 1/2 (- (* -1 (/ (pow (fabs x) 2) (pow (sqrt -1) 4))) (/ 1 (pow (sqrt -1) 2))))) x)) (/ (fabs x) (pow (sqrt -1) 2))) x))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1 (/ (fabs x) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (fabs x) (+ (/ 1/8 (* (pow x 3) (pow (sqrt -1) 2))) (* 1/2 (/ 1 x)))) x)) (pow (sqrt -1) 2))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 2))))) (pow x 2))) (pow (sqrt -1) 2))))
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) (pow x 4))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 (pow x 2))))))
(pow x 3)
(* -1 (* (pow x 3) (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))
Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(fabs x)
(fabs.f32 x)
(+ (fabs x) (* -1 x))
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(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 2))))) (pow x 2))) (pow (sqrt -1) 2))))
(fma.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (*.f32 x x)) x x)
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) (pow x 4))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 (pow x 2))))))
(*.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) x) x) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))
(pow x 3)
(pow.f32 x #s(literal 3 binary32))
(* -1 (* (pow x 3) (- (/ 1 x) 1)))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))
(*.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))
(*.f32 (+.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x) #s(literal 1 binary32)) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 3 binary32)))

rewrite196.0ms (2.3%)

Memory
11.5MiB live, 241.8MiB allocated
Rules
4 506×lower-/.f64
4 500×lower-/.f32
4 106×lower-*.f64
4 106×lower-*.f32
2 662×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037272
061272
1209232
21725232
08308214
Stop Event
iter limit
node limit
iter limit
Counts
21 → 501
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(fabs.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
(copysign.f32 (log.f32 #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 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))))
(+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x))
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
(log.f32 (+.f32 #s(literal 1 binary32) x))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))
(-.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))))
(-.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 x)))
(-.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) x))))
(-.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (*.f32 x (-.f32 x #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))))
(+.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(neg.f32 (log.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(fabs.f32 (-.f32 x #s(literal 0 binary32)))
(fabs.f32 (neg.f32 (neg.f32 (neg.f32 x))))
(fabs.f32 (neg.f32 (neg.f32 x)))
(fabs.f32 (neg.f32 x))
(fabs.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
(+.f32 #s(literal 0 binary32) (log.f32 x))
(+.f32 (log.f32 x) #s(literal 0 binary32))
(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 (/.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 x (-.f32 x (fabs.f32 x)) (*.f32 x x)))
(*.f32 (/.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (-.f32 (*.f32 x x) (*.f32 x x))) (-.f32 (fabs.f32 x) x))
(*.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) x)))
(*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (+.f32 (fabs.f32 x) x) (*.f32 x x))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 x (+.f32 (fabs.f32 x) x) (*.f32 x x)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 x x) (*.f32 x x)))) (neg.f32 (neg.f32 (+.f32 (fabs.f32 x) x))))
(/.f32 (-.f32 (*.f32 (*.f32 x x) (+.f32 (fabs.f32 x) x)) (*.f32 (+.f32 (fabs.f32 x) x) (*.f32 x x))) (pow.f32 (+.f32 (fabs.f32 x) x) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (+.f32 (fabs.f32 x) x) (*.f32 x x))) (*.f32 (fma.f32 x (+.f32 (fabs.f32 x) x) (*.f32 x x)) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (fma.f32 x (+.f32 (fabs.f32 x) x) (*.f32 x x)) (fma.f32 x (+.f32 (fabs.f32 x) x) (*.f32 x x))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (neg.f32 x))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x (+.f32 (fabs.f32 x) x) (*.f32 x x))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (*.f32 x x))) (neg.f32 (-.f32 (fabs.f32 x) (neg.f32 x))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (*.f32 x x))) (neg.f32 (+.f32 (fabs.f32 x) x)))
(/.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (-.f32 (fabs.f32 x) (neg.f32 x)))
(/.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (fabs.f32 x) x))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (fabs.f32 x) x) (-.f32 (*.f32 x x) (*.f32 x x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 x (+.f32 (fabs.f32 x) x) (*.f32 x x)) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (neg.f32 x)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x (+.f32 (fabs.f32 x) x) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) x) (-.f32 (*.f32 x x) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (+.f32 (fabs.f32 x) x) (*.f32 x x)) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))
(-.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (neg.f32 x))) (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (neg.f32 x))))
(-.f32 (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) x)) (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) x)))
(-.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (+.f32 (fabs.f32 x) x) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (+.f32 (fabs.f32 x) x) (*.f32 x x))))
(-.f32 (fabs.f32 x) x)
(fma.f32 #s(literal -1 binary32) x (fabs.f32 x))
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) (neg.f32 x))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) (neg.f32 x))
(pow.f32 (/.f32 (+.f32 (fabs.f32 x) x) (-.f32 (*.f32 x x) (*.f32 x x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x (+.f32 (fabs.f32 x) x) (*.f32 x x)) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1 binary32))
(+.f32 (neg.f32 x) (fabs.f32 x))
(+.f32 (fabs.f32 x) (neg.f32 x))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) x) (fabs.f32 x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) x) (fabs.f32 x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) x) (fabs.f32 x)))
(*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (pow.f32 (+.f32 (fabs.f32 x) x) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (fabs.f32 x))))
(*.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (*.f32 (+.f32 (fabs.f32 x) x) (-.f32 (+.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) x))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) #s(literal 2 binary32)) (*.f32 x x))) (neg.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 (fabs.f32 x) x) #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) (neg.f32 (-.f32 (+.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) #s(literal 2 binary32)) (-.f32 (*.f32 x x) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (pow.f32 (+.f32 (fabs.f32 x) x) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (fabs.f32 x)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) x) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (*.f32 (+.f32 (fabs.f32 x) x) (-.f32 (+.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) x)))))))
(/.f32 (neg.f32 (fma.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (neg.f32 x) (*.f32 (-.f32 (fabs.f32 x) x) #s(literal -1/2 binary32)))) (neg.f32 (*.f32 (-.f32 (fabs.f32 x) x) (neg.f32 x))))
(/.f32 (neg.f32 (fma.f32 (-.f32 (*.f32 x x) (*.f32 x x)) x (*.f32 (-.f32 (fabs.f32 x) x) #s(literal 1/2 binary32)))) (neg.f32 (*.f32 (-.f32 (fabs.f32 x) x) x)))
(/.f32 (neg.f32 (fma.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x #s(literal 2 binary32)) (*.f32 (-.f32 (fabs.f32 x) x) #s(literal 1 binary32)))) (neg.f32 (*.f32 (-.f32 (fabs.f32 x) x) (*.f32 x #s(literal 2 binary32)))))
(/.f32 (neg.f32 (fma.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 x) (*.f32 (fma.f32 x (-.f32 x (fabs.f32 x)) (*.f32 x x)) #s(literal -1/2 binary32)))) (neg.f32 (*.f32 (fma.f32 x (-.f32 x (fabs.f32 x)) (*.f32 x x)) (neg.f32 x))))
(/.f32 (neg.f32 (fma.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) x (*.f32 (fma.f32 x (-.f32 x (fabs.f32 x)) (*.f32 x x)) #s(literal 1/2 binary32)))) (neg.f32 (*.f32 (fma.f32 x (-.f32 x (fabs.f32 x)) (*.f32 x x)) x)))
(/.f32 (neg.f32 (fma.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (*.f32 x #s(literal 2 binary32)) (*.f32 (fma.f32 x (-.f32 x (fabs.f32 x)) (*.f32 x x)) #s(literal 1 binary32)))) (neg.f32 (*.f32 (fma.f32 x (-.f32 x (fabs.f32 x)) (*.f32 x x)) (*.f32 x #s(literal 2 binary32)))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/2 binary32) (-.f32 (fabs.f32 x) x) (*.f32 (neg.f32 x) (-.f32 (*.f32 x x) (*.f32 x x))))) (neg.f32 (*.f32 (neg.f32 x) (-.f32 (fabs.f32 x) x))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 x (-.f32 x (fabs.f32 x)) (*.f32 x x)) (*.f32 (neg.f32 x) (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))) (neg.f32 (*.f32 (neg.f32 x) (fma.f32 x (-.f32 x (fabs.f32 x)) (*.f32 x x)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) x) (*.f32 x (-.f32 (*.f32 x x) (*.f32 x x))))) (neg.f32 (*.f32 x (-.f32 (fabs.f32 x) x))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 x (-.f32 x (fabs.f32 x)) (*.f32 x x)) (*.f32 x (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))) (neg.f32 (*.f32 x (fma.f32 x (-.f32 x (fabs.f32 x)) (*.f32 x x)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) x) (*.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 x x) (*.f32 x x))))) (neg.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 (fabs.f32 x) x))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (fabs.f32 x)) (*.f32 x x)) (*.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))) (neg.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (fma.f32 x (-.f32 x (fabs.f32 x)) (*.f32 x x)))))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (fabs.f32 x))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (fabs.f32 x)) (pow.f32 (+.f32 (fabs.f32 x) x) #s(literal 2 binary32)))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (fabs.f32 x)) (-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (fabs.f32 x))))
(/.f32 (fma.f32 (neg.f32 (-.f32 (*.f32 x x) (*.f32 x x))) (neg.f32 (*.f32 x #s(literal 2 binary32))) (*.f32 (neg.f32 (-.f32 (fabs.f32 x) x)) #s(literal -1 binary32))) (*.f32 (neg.f32 (-.f32 (fabs.f32 x) x)) (neg.f32 (*.f32 x #s(literal 2 binary32)))))
(/.f32 (fma.f32 (neg.f32 (-.f32 (*.f32 x x) (*.f32 x x))) (neg.f32 x) (*.f32 (neg.f32 (-.f32 (fabs.f32 x) x)) #s(literal -1/2 binary32))) (*.f32 (neg.f32 (-.f32 (fabs.f32 x) x)) (neg.f32 x)))
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(+.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) x)) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
(exp.f32 (*.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal -1 binary32) x #s(literal -1 binary32))))

eval141.0ms (1.6%)

Memory
-2.5MiB live, 155.2MiB allocated
Compiler

Compiled 17 615 to 3 399 computations (80.7% saved)

prune88.0ms (1%)

Memory
-28.9MiB live, 96.5MiB allocated
Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New7968804
Fresh448
Picked055
Done011
Total80018818
Accuracy
99.6%
Counts
818 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.4%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))))) x)
22.5%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -2 binary32))) (+.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))) (-.f32 x #s(literal 1 binary32)))))) x)
29.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))))) x)
29.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))))) x)
28.2%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
43.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
30.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x))) x)
30.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
43.4%
(copysign.f32 (log.f32 (+.f32 (exp.f32 (log.f32 (fabs.f32 x))) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
30.8%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
28.6%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))) x)
14.1%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
28.9%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
21.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(literal 1 binary32) x))) x)
14.2%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Compiler

Compiled 399 to 283 computations (29.1% saved)

simplify276.0ms (3.2%)

Memory
4.3MiB live, 171.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
cost-diff0
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
cost-diff64
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
cost-diff0
#s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x))
cost-diff0
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))
cost-diff0
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x))))
cost-diff0
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x)
cost-diff0
(log1p.f32 (fabs.f32 (neg.f32 x)))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x))))
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
cost-diff64
(fabs.f32 (neg.f32 x))
cost-diff0
(neg.f32 x)
cost-diff0
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
cost-diff0
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
cost-diff0
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
cost-diff0
(log1p.f32 x)
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
Rules
13 314×lower-fma.f64
13 314×lower-fma.f32
2 358×lower-*.f64
2 356×lower-*.f32
2 292×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039296
063292
188292
2110292
3137292
4204292
5351292
6667292
71832292
83633292
94302292
105638292
116649292
127270292
137453292
147557292
157593292
167634292
177843292
08254277
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
(log1p.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
(neg.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x))))
(log1p.f32 (fabs.f32 (neg.f32 x)))
(fabs.f32 (neg.f32 x))
(neg.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))
#s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(fabs.f32 x)
x
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 x x)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
(log1p.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
(neg.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
(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 (neg.f32 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
(log1p.f32 (fabs.f32 (neg.f32 x)))
(log1p.f32 (fabs.f32 x))
(fabs.f32 (neg.f32 x))
(fabs.f32 x)
(neg.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))
#s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (fabs.f32 x)))
(+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (fabs.f32 x))
(fabs.f32 x)
x
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 x x)

localize171.0ms (2%)

Memory
-7.6MiB live, 67.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.03125
(+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
accuracy2.9970633949546683
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
accuracy4.537381925888505
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
accuracy7.347311930459369
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
accuracy0
(/.f32 #s(literal 1/2 binary32) x)
accuracy7.347311930459369
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x))))
accuracy8.308678706277924
#s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x))
accuracy9.508268937145521
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))
accuracy0
(neg.f32 x)
accuracy0
(fabs.f32 (neg.f32 x))
accuracy6.174386767619377
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x))))
accuracy10.835606803016683
(log1p.f32 (fabs.f32 (neg.f32 x)))
accuracy0
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
accuracy0
(neg.f32 x)
accuracy7.347311930459369
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
accuracy18.053454371430455
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
accuracy0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
accuracy8.046726327073545
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
accuracy8.928565918842883
(log1p.f32 x)
Samples
63.0ms40×1valid
22.0ms112×0valid
14.0ms68×0invalid
10.0ms36×1exit
Compiler

Compiled 234 to 27 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 47.0ms (49% of total)
ival-log: 9.0ms (9.4% of total)
ival-hypot: 5.0ms (5.2% of total)
ival-add: 5.0ms (5.2% of total)
adjust: 4.0ms (4.2% of total)
ival-div: 4.0ms (4.2% of total)
ival-pow: 4.0ms (4.2% of total)
ival-copysign: 4.0ms (4.2% of total)
ival-log1p: 4.0ms (4.2% of total)
ival-sub: 3.0ms (3.1% of total)
ival-fabs: 3.0ms (3.1% of total)
ival-sqrt: 2.0ms (2.1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series109.0ms (1.3%)

Memory
24.4MiB live, 66.2MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) #<representation binary32>) () ())
#s(alt (log1p.f32 x) (patch (log1p.f32 x) #<representation binary32>) () ())
#s(alt (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) #<representation binary32>) () ())
#s(alt (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) (patch (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) #<representation binary32>) () ())
#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)) #<representation binary32>) () ())
#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())
#s(alt (fabs.f32 (neg.f32 x)) (patch (fabs.f32 (neg.f32 x)) #<representation binary32>) () ())
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) #<representation binary32>) () ())
#s(alt (log1p.f32 (fabs.f32 (neg.f32 x))) (patch (log1p.f32 (fabs.f32 (neg.f32 x))) #<representation binary32>) () ())
#s(alt (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x) #<representation binary32>) () ())
#s(alt (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) (patch (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x))) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)) (patch #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #<representation binary32>) () ())
#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) #<representation binary32>) () ())
#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/2 binary32) x) (patch (/.f32 #s(literal 1/2 binary32) x) #<representation binary32>) () ())
#s(alt (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (patch (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #<representation binary32>) () ())
Outputs
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.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 x)) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.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 x)) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.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 x)) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.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 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.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 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.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 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.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 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (log1p.f32 x) (patch (log1p.f32 x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt (log1p.f32 x) (patch (log1p.f32 x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (taylor 0 x) (#s(alt (log1p.f32 x) (patch (log1p.f32 x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) (taylor 0 x) (#s(alt (log1p.f32 x) (patch (log1p.f32 x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) (patch (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) (patch (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.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 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) (patch (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.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 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) (patch (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (fabs x)) (taylor 0 x) (#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)) #<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 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (fabs (neg x)) (taylor 0 x) (#s(alt (fabs.f32 (neg.f32 x)) (patch (fabs.f32 (neg.f32 x)) #<representation binary32>) () ())) ())
#s(alt (fabs (neg x)) (taylor 0 x) (#s(alt (fabs.f32 (neg.f32 x)) (patch (fabs.f32 (neg.f32 x)) #<representation binary32>) () ())) ())
#s(alt (fabs (neg x)) (taylor 0 x) (#s(alt (fabs.f32 (neg.f32 x)) (patch (fabs.f32 (neg.f32 x)) #<representation binary32>) () ())) ())
#s(alt (fabs (neg x)) (taylor 0 x) (#s(alt (fabs.f32 (neg.f32 x)) (patch (fabs.f32 (neg.f32 x)) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.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 (neg.f32 x)))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.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 (neg.f32 x)))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.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 (neg.f32 x)))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.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 (neg.f32 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.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 (neg.f32 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.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 (neg.f32 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.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 (neg.f32 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs (neg x)))) (taylor 0 x) (#s(alt (log1p.f32 (fabs.f32 (neg.f32 x))) (patch (log1p.f32 (fabs.f32 (neg.f32 x))) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs (neg x)))) (taylor 0 x) (#s(alt (log1p.f32 (fabs.f32 (neg.f32 x))) (patch (log1p.f32 (fabs.f32 (neg.f32 x))) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs (neg x)))) (taylor 0 x) (#s(alt (log1p.f32 (fabs.f32 (neg.f32 x))) (patch (log1p.f32 (fabs.f32 (neg.f32 x))) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs (neg x)))) (taylor 0 x) (#s(alt (log1p.f32 (fabs.f32 (neg.f32 x))) (patch (log1p.f32 (fabs.f32 (neg.f32 x))) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) (patch (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) (patch (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) 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 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) (patch (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) 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 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) (patch (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (fabs x)) (taylor 0 x) (#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x))) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x))) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
76.0ms
x
@inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (neg x) (fabs (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs (neg x)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (/ 1/2 x) (+ (fabs x) x)) (/ (- 1 (pow x 4)) (- 1 (* x x))) (copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))) x) (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))) (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x))))) (/ 1/2 x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))
16.0ms
x
@0
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (neg x) (fabs (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs (neg x)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (/ 1/2 x) (+ (fabs x) x)) (/ (- 1 (pow x 4)) (- 1 (* x x))) (copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))) x) (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))) (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x))))) (/ 1/2 x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))
8.0ms
x
@-inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (neg x) (fabs (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs (neg x)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (/ 1/2 x) (+ (fabs x) x)) (/ (- 1 (pow x 4)) (- 1 (* x x))) (copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))) x) (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))) (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x))))) (/ 1/2 x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))

simplify357.0ms (4.1%)

Memory
-32.3MiB live, 125.2MiB allocated
Algorithm
egg-herbie
Rules
9 928×lower-fma.f64
9 928×lower-fma.f32
3 314×lower-*.f64
3 314×lower-*.f32
2 826×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02423214
16823068
219523023
351812890
083532656
Stop Event
iter limit
node limit
Counts
252 → 245
Calls
Call 1
Inputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (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)))))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(fabs (neg x))
(fabs (neg x))
(fabs (neg x))
(fabs (neg 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)))))))
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(log (+ 1 (fabs (neg x))))
(log (+ 1 (fabs (neg x))))
(log (+ 1 (fabs (neg x))))
(log (+ 1 (fabs (neg x))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(/ 1/2 x)
(/ (+ 1/2 (* x (fabs x))) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) x)
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (pow x 2)))))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (pow x 2)))))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (pow x 2)))))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (pow x 2)))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
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(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
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1
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
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(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
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(* -1 (log (/ 1 x)))
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(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(fabs (neg x))
(fabs (neg x))
(fabs (neg x))
(fabs (neg x))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(log (+ 1 (fabs (neg x))))
(log (+ 1 (fabs (neg x))))
(log (+ 1 (fabs (neg x))))
(log (+ 1 (fabs (neg x))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (pow x 2)))))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (pow x 2)))))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (pow x 2)))))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (pow x 2)))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(fabs (* -1 x))
(fabs (* -1 x))
(fabs (* -1 x))
(fabs (* -1 x))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(log (+ 1 (fabs (* -1 x))))
(log (+ 1 (fabs (* -1 x))))
(log (+ 1 (fabs (* -1 x))))
(log (+ 1 (fabs (* -1 x))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(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 4)) (- 1 (pow x 2)))))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (pow x 2)))))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (pow x 2)))))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (pow x 2)))))) x)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 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 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1 binary32)) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
x
(* x (+ 1 (* -1/2 x)))
(*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 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 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1 binary32)) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(fabs (neg x))
(fabs.f32 x)
(fabs (neg x))
(fabs.f32 x)
(fabs (neg x))
(fabs.f32 x)
(fabs (neg x))
(fabs.f32 x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 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 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1 binary32)) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(log (+ 1 (fabs (neg x))))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs (neg x))))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs (neg x))))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs (neg x))))
(log1p.f32 (fabs.f32 x))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
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(fma.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(fma.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f32 (fabs.f32 x) x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))
(/ 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)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f32 x (/.f32 #s(literal -1/2 binary32) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) x (/.f32 #s(literal 1/2 binary32) x)))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1/2 binary32)) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) x) (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(-.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x)) x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1/2 binary32)) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) x) (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 (fabs.f32 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fma.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) #s(literal 1 binary32) (neg.f32 x))
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(fabs (* -1 x))
(fabs.f32 x)
(fabs (* -1 x))
(fabs.f32 x)
(fabs (* -1 x))
(fabs.f32 x)
(fabs (* -1 x))
(fabs.f32 x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1/2 binary32)) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) x) (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(log (+ 1 (fabs (* -1 x))))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs (* -1 x))))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs (* -1 x))))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs (* -1 x))))
(log1p.f32 (fabs.f32 x))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1/2 binary32)) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) x) (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 (fabs.f32 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fma.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) #s(literal 1 binary32) (neg.f32 x))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(+.f32 (fabs.f32 x) x)
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (pow x 2)))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (pow x 2)))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (pow x 2)))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (pow x 2)))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (fabs.f32 x))) x)
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1/2 binary32)) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) x) (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 (fabs.f32 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fma.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) #s(literal 1 binary32) (neg.f32 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 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) x) (pow.f32 x #s(literal 4 binary32))) (fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) x (/.f32 #s(literal 1/2 binary32) x)))

rewrite361.0ms (4.2%)

Memory
9.9MiB live, 168.8MiB allocated
Rules
4 688×lower-/.f64
4 684×lower-/.f32
4 272×lower-*.f64
4 270×lower-*.f32
2 602×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039268
063261
1207231
21583231
08368216
Stop Event
iter limit
node limit
iter limit
Counts
21 → 322
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
(log1p.f32 x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
(neg.f32 x)
(fabs.f32 (neg.f32 x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x))))
(log1p.f32 (fabs.f32 (neg.f32 x)))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))
#s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 #s(literal 1/2 binary32) x)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
(log.f32 (+.f32 #s(literal 1 binary32) x))
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(/.f32 (sqrt.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -3 binary32)) (*.f32 (pow.f32 x #s(literal 12 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -3 binary32))))) (sqrt.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -2 binary32)) (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(/.f32 (sqrt.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))))) (sqrt.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32))) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 12 binary32))) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 (sqrt.f32 (-.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (pow.f32 x #s(literal 4 binary32))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 12 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 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 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))

eval124.0ms (1.4%)

Memory
14.2MiB live, 51.2MiB allocated
Compiler

Compiled 10 834 to 2 039 computations (81.2% saved)

prune74.0ms (0.9%)

Memory
-6.6MiB live, 68.1MiB allocated
Pruning

22 alts after pruning (11 fresh and 11 done)

PrunedKeptTotal
New5846590
Fresh257
Picked055
Done066
Total58622608
Accuracy
99.6%
Counts
608 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.1%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (sqrt.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))) x)
16.4%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))))) x)
29.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))))) x)
29.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))))) x)
28.2%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
43.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
30.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x))) x)
30.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
43.4%
(copysign.f32 (log.f32 (+.f32 (exp.f32 (log.f32 (fabs.f32 x))) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
30.8%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
28.6%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))) x)
14.1%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
28.9%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
21.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(literal 1 binary32) x))) x)
14.2%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
Compiler

Compiled 417 to 312 computations (25.2% saved)

simplify553.0ms (6.4%)

Memory
8.8MiB live, 363.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))))
cost-diff0
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x)))))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))))) x)
cost-diff352
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))
cost-diff0
(fabs.f32 x)
cost-diff0
(+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x))
cost-diff0
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x)))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x))) x)
cost-diff0
(log1p.f32 x)
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
cost-diff0
(*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)
cost-diff0
#s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)))
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
cost-diff0
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)
cost-diff0
#s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)))
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
Rules
29 288×lower-fma.f64
29 282×lower-fma.f32
6 216×lower-+.f64
6 210×lower-+.f32
4 802×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048369
074369
1103369
2157369
3237369
4425369
5723351
61183351
72628351
84442351
96033351
106681351
117049351
127230351
137257351
147257351
157399351
167487351
177487351
187487351
010452336
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)))
#s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32))
(fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32))
#s(literal 1/3 binary32)
x
#s(literal -1/2 binary32)
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)))
#s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))
(*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)
(fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32))
#s(literal -1/2 binary32)
x
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
(log1p.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x))
(fabs.f32 x)
x
#s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))))
(fabs.f32 x)
x
(sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))
(-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
#s(literal 1 binary32)
(-.f32 x #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) x)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)))
#s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32))
(fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32))
#s(literal 1/3 binary32)
x
#s(literal -1/2 binary32)
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)))
#s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))
(*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)
(fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32))
#s(literal -1/2 binary32)
x
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
(log1p.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x)))
(log.f32 (+.f32 #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x) (fabs.f32 x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x))
(+.f32 #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x) (fabs.f32 x))
(fabs.f32 x)
x
#s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x)))))
(log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (fabs.f32 x)))
(+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))))
(+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (fabs.f32 x))
(fabs.f32 x)
x
(sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x)))
(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) x))
(-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
#s(literal 1 binary32)
(-.f32 x #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) x)
(-.f32 x #s(literal -1 binary32))

localize283.0ms (3.3%)

Memory
13.7MiB live, 344.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.9871035345666016
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))
accuracy1.1179250075752831
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))
accuracy2.9970633949546683
(sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x)))
accuracy11.227299824103588
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x)))))
accuracy0
(fabs.f32 x)
accuracy0.02734375
(+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x))
accuracy11.227299824103588
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x)))
accuracy13.745101394449165
#s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x)
accuracy0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
accuracy8.771697309231513
(log1p.f32 x)
accuracy11.840726303241972
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
accuracy0.03515625
(*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)
accuracy9.050888662465402
#s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))
accuracy9.800136971338018
(fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32))
accuracy11.840726303241972
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)))
accuracy8.29945945242965
#s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))
accuracy9.22867734841813
(fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32))
accuracy9.846753596208584
(fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32))
accuracy11.840726303241972
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)))
Samples
83.0ms76×1valid
33.0ms110×0valid
28.0ms5exit
20.0ms68×0invalid
Compiler

Compiled 307 to 37 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 146.0ms
adjust: 37.0ms (25.3% of total)
ival-div: 34.0ms (23.3% of total)
ival-log: 15.0ms (10.3% of total)
ival-mult: 11.0ms (7.5% of total)
ival-add: 10.0ms (6.8% of total)
ival-copysign: 10.0ms (6.8% of total)
ival-pow: 7.0ms (4.8% of total)
ival-hypot: 6.0ms (4.1% of total)
const: 4.0ms (2.7% of total)
ival-sqrt: 4.0ms (2.7% of total)
ival-sub: 3.0ms (2.1% of total)
ival-log1p: 2.0ms (1.4% of total)
ival-fabs: 2.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory
-6.9MiB live, 32.5MiB allocated
Counts
25 → 300
Calls
Call 1
Inputs
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)) (patch #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x) #<representation binary32>) () ())
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)) (patch #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x) #<representation binary32>) () ())
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) #<representation binary32>) () ())
#s(alt (log1p.f32 x) (patch (log1p.f32 x) #<representation binary32>) () ())
#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x))) x) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x))) (patch (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x))) #<representation binary32>) () ())
#s(alt (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x)) (patch (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x)) #<representation binary32>) () ())
#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x)) (patch (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())
#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))))) x) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())
#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) (patch (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) (patch (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x) (patch #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x) #<representation binary32>) () ())
#s(alt (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))) (patch (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (patch (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 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)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) 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)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) 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)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) 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)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) 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)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) 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)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) 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)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)) (patch #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)) (patch #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)) (patch #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
17.0ms
x
@inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 x)) (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 x)) (copysign (log (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))))) x) (log (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))))) (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1)))) (fabs x) (/ (/ (- (pow x 4) 1) (- x 1)) (+ 1 x)) (copysign (log (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (- x 1)) (+ 1 x))))) x) (log (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (- x 1)) (+ 1 x))))) (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (- x 1)) (+ 1 x)))) (+ (* 1/3 x) -1/2) (+ (* (+ (* 1/3 x) -1/2) x) 1) (+ (* -1/2 x) 1) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) (sqrt (/ (/ (- (pow x 4) 1) (- x 1)) (+ 1 x))) (/ (- (pow x 4) 1) (- x 1)))
2.0ms
x
@-inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 x)) (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 x)) (copysign (log (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))))) x) (log (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))))) (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1)))) (fabs x) (/ (/ (- (pow x 4) 1) (- x 1)) (+ 1 x)) (copysign (log (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (- x 1)) (+ 1 x))))) x) (log (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (- x 1)) (+ 1 x))))) (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (- x 1)) (+ 1 x)))) (+ (* 1/3 x) -1/2) (+ (* (+ (* 1/3 x) -1/2) x) 1) (+ (* -1/2 x) 1) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) (sqrt (/ (/ (- (pow x 4) 1) (- x 1)) (+ 1 x))) (/ (- (pow x 4) 1) (- x 1)))
2.0ms
x
@0
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 x)) (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 x)) (copysign (log (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))))) x) (log (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))))) (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1)))) (fabs x) (/ (/ (- (pow x 4) 1) (- x 1)) (+ 1 x)) (copysign (log (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (- x 1)) (+ 1 x))))) x) (log (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (- x 1)) (+ 1 x))))) (+ (fabs x) (sqrt (/ (/ (- (pow x 4) 1) (- x 1)) (+ 1 x)))) (+ (* 1/3 x) -1/2) (+ (* (+ (* 1/3 x) -1/2) x) 1) (+ (* -1/2 x) 1) (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) (sqrt (/ (/ (- (pow x 4) 1) (- x 1)) (+ 1 x))) (/ (- (pow x 4) 1) (- x 1)))

simplify218.0ms (2.5%)

Memory
16.8MiB live, 242.8MiB allocated
Algorithm
egg-herbie
Rules
13 748×lower-fma.f64
13 748×lower-fma.f32
4 968×lower-*.f64
4 968×lower-*.f32
4 080×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03424147
19833826
230543695
084273446
Stop Event
iter limit
node limit
Counts
300 → 291
Calls
Call 1
Inputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (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)))))))
x
(* x (+ 1 (* -1/2 x)))
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(fabs x)
(fabs x)
(fabs x)
(fabs x)
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(copysign (log (+ (fabs x) (sqrt (/ (- (pow x 4) 1) (* (+ 1 x) (- x 1)))))) x)
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(* -1 (log (/ 1 x)))
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x
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x
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(* -1/2 (pow x 2))
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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)))
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(+ (log (pow (sqrt -1) 2)) (* -1 (log (/ -1 x))))
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(+ (log (pow (sqrt -1) 2)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1/2 (/ (- (* -1 (/ (pow (fabs x) 2) (pow (sqrt -1) 4))) (/ 1 (pow (sqrt -1) 2))) x)) (/ (fabs x) (pow (sqrt -1) 2))) x))))
(+ (log (pow (sqrt -1) 2)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* 2 (/ (pow (fabs x) 3) (pow (sqrt -1) 6))) (* 3 (/ (fabs x) (pow (sqrt -1) 4)))) x)) (* 1/2 (- (* -1 (/ (pow (fabs x) 2) (pow (sqrt -1) 4))) (/ 1 (pow (sqrt -1) 2))))) x)) (/ (fabs x) (pow (sqrt -1) 2))) x))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1 (/ (fabs x) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (fabs x) (+ (/ 1/8 (* (pow x 3) (pow (sqrt -1) 2))) (* 1/2 (/ 1 x)))) x)) (pow (sqrt -1) 2))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
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(+ (log (pow (sqrt -1) 2)) (* -1 (log (/ -1 x))))
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(+ (log (pow (sqrt -1) 2)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1/2 (/ (- (* -1 (/ (pow (fabs x) 2) (pow (sqrt -1) 4))) (/ 1 (pow (sqrt -1) 2))) x)) (/ (fabs x) (pow (sqrt -1) 2))) x))))
(+ (log (pow (sqrt -1) 2)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* 2 (/ (pow (fabs x) 3) (pow (sqrt -1) 6))) (* 3 (/ (fabs x) (pow (sqrt -1) 4)))) x)) (* 1/2 (- (* -1 (/ (pow (fabs x) 2) (pow (sqrt -1) 4))) (/ 1 (pow (sqrt -1) 2))))) x)) (/ (fabs x) (pow (sqrt -1) 2))) x))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1 (/ (fabs x) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (fabs x) (+ (/ 1/8 (* (pow x 3) (pow (sqrt -1) 2))) (* 1/2 (/ 1 x)))) x)) (pow (sqrt -1) 2))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* -1/2 x)
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 2))))) (pow x 2))) (pow (sqrt -1) 2))))
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) (pow x 4))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 2))))) (pow x 2))) (pow (sqrt -1) 2))))
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) (pow x 4))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 (pow x 2))))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
x
(* x (+ 1 (* -1/2 x)))
(fma.f32 (*.f32 #s(literal -1/2 binary32) x) x x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)
x
(* x (+ 1 (* -1/2 x)))
(fma.f32 (*.f32 #s(literal -1/2 binary32) x) x x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
x
(* x (+ 1 (* -1/2 x)))
(fma.f32 (*.f32 #s(literal -1/2 binary32) x) x x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)
x
(* x (+ 1 (* -1/2 x)))
(fma.f32 (*.f32 #s(literal -1/2 binary32) x) x x)
(* x (+ 1 (* -1/2 x)))
(fma.f32 (*.f32 #s(literal -1/2 binary32) x) x x)
(* x (+ 1 (* -1/2 x)))
(fma.f32 (*.f32 #s(literal -1/2 binary32) x) x x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
x
(* x (+ 1 (* -1/2 x)))
(fma.f32 (*.f32 #s(literal -1/2 binary32) x) x x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)
(copysign (log (+ (fabs x) (sqrt (/ (- (pow x 4) 1) (* (+ 1 x) (- x 1)))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- (pow x 4) 1) (* (+ 1 x) (- x 1)))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- (pow x 4) 1) (* (+ 1 x) (- x 1)))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- (pow x 4) 1) (* (+ 1 x) (- x 1)))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.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)
1
#s(literal 1 binary32)
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(copysign (log (+ (fabs x) (sqrt (/ (- (pow x 4) 1) (* (+ 1 x) (- x 1)))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- (pow x 4) 1) (* (+ 1 x) (- x 1)))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- (pow x 4) 1) (* (+ 1 x) (- x 1)))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (/ (- (pow x 4) 1) (* (+ 1 x) (- x 1)))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
-1/2
#s(literal -1/2 binary32)
(- (* 1/3 x) 1/2)
(fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32))
(- (* 1/3 x) 1/2)
(fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32))
(- (* 1/3 x) 1/2)
(fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1/2 x))
(fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1/2 x))
(fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32))
(+ 1 (* -1/2 x))
(fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32))
(+ 1 (* -1/2 x))
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(* -1 (* x (- 1/2 (/ 1 x))))
(fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32))
(* -1 (* x (- 1/2 (/ 1 x))))
(fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32))
(* -1 (* x (- 1/2 (/ 1 x))))
(fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32))
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 (pow x 2))))))
(+.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 2))))) (pow x 2))) (pow (sqrt -1) 2))))
(-.f32 x (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x) #s(literal 1 binary32)))
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) (pow x 4))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (*.f32 x x)) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 x) (/.f32 #s(literal 1/2 binary32) x))
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 (pow x 2))))))
(+.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 2))))) (pow x 2))) (pow (sqrt -1) 2))))
(-.f32 x (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x) #s(literal 1 binary32)))
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) (pow x 4))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (*.f32 x x)) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 x) (/.f32 #s(literal 1/2 binary32) x))
(pow x 3)
(pow.f32 x #s(literal 3 binary32))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f32 (fma.f32 x x x) x)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(*.f32 (+.f32 (/.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 3 binary32)))

rewrite311.0ms (3.6%)

Memory
3.7MiB live, 322.1MiB allocated
Rules
6 270×lower-fma.f64
6 264×lower-fma.f32
4 792×lower-/.f64
4 788×lower-/.f32
4 002×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048341
074341
1249269
21854269
08743253
Stop Event
iter limit
node limit
iter limit
Counts
25 → 670
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)))
#s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)))
#s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))
(*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
(log1p.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x))
(fabs.f32 x)
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))))
(fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32))
(fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32))
#s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x)
(sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)))
#s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)
(*.f32 x (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x) (*.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x) (-.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x) x))))
(/.f32 (+.f32 (pow.f32 (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x)) (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x)) (-.f32 (*.f32 x x) (*.f32 (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x)) x))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x) (*.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x)) (*.f32 x (*.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x)))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x)) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x)) (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x))) (*.f32 x (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x))))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) #s(literal 2 binary32)) #s(literal 1 binary32)) x)) (neg.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) #s(literal 3 binary32)) #s(literal 1 binary32)) x)) (neg.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x))))
(/.f32 (neg.f32 (*.f32 x (-.f32 (pow.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 x (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x))))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) #s(literal 2 binary32)) #s(literal 1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) #s(literal 3 binary32)) #s(literal 1 binary32)) x) (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x)))
(/.f32 (*.f32 x (-.f32 (pow.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)))
(/.f32 (*.f32 x (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) #s(literal 3 binary32)) #s(literal 1 binary32))) (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x)))
(fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x x)
(fma.f32 #s(literal 1 binary32) x (*.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x))
(fma.f32 #s(literal 1 binary32) x (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x)))
(fma.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x)
(fma.f32 x #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x))
(fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x)))
(+.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x) x)
(+.f32 (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x)) x)
(+.f32 x (*.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x))
(+.f32 x (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x)))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)))
#s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))
(*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)
(*.f32 x (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) x) (*.f32 (*.f32 #s(literal -1/2 binary32) x) x) (-.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) x) x))))
(/.f32 (+.f32 (pow.f32 (*.f32 x (*.f32 #s(literal -1/2 binary32) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (*.f32 x (*.f32 #s(literal -1/2 binary32) x)) (*.f32 x (*.f32 #s(literal -1/2 binary32) x)) (-.f32 (*.f32 x x) (*.f32 (*.f32 x (*.f32 #s(literal -1/2 binary32) x)) x))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) x) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) x) (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)) (*.f32 x (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 #s(literal -1/2 binary32) x)) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/2 binary32) x)) (*.f32 x (*.f32 #s(literal -1/2 binary32) x))) (*.f32 x (*.f32 x (*.f32 #s(literal -1/2 binary32) x))))))
(/.f32 (neg.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) #s(literal -1 binary32)) x)) (neg.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) x)) (neg.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) x)))))
(/.f32 (neg.f32 (*.f32 x (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) #s(literal -1 binary32)))) (neg.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 x (fma.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) x)))))
(/.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) #s(literal -1 binary32)) x) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)))
(/.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) x) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) x))))
(/.f32 (*.f32 x (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) #s(literal -1 binary32))) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)))
(/.f32 (*.f32 x (fma.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) x))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) x) x x)
(fma.f32 #s(literal 1 binary32) x (*.f32 (*.f32 #s(literal -1/2 binary32) x) x))
(fma.f32 #s(literal 1 binary32) x (*.f32 x (*.f32 #s(literal -1/2 binary32) x)))
(fma.f32 x (*.f32 #s(literal -1/2 binary32) x) x)
(fma.f32 x #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) x) x))
(fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/2 binary32) x)))
(+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) x) x)
(+.f32 (*.f32 x (*.f32 #s(literal -1/2 binary32) x)) x)
(+.f32 x (*.f32 (*.f32 #s(literal -1/2 binary32) x) x))
(+.f32 x (*.f32 x (*.f32 #s(literal -1/2 binary32) x)))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
(log.f32 (+.f32 #s(literal 1 binary32) x))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 x)) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (*.f32 (neg.f32 x) x)) (fma.f32 (log1p.f32 (neg.f32 x)) (log1p.f32 (neg.f32 x)) (*.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 x))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 x (-.f32 x #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 x (-.f32 x #s(literal 1 binary32)))) (log1p.f32 (*.f32 x (-.f32 x #s(literal 1 binary32)))) (*.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (*.f32 x (-.f32 x #s(literal 1 binary32))))))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x))))
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(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))) (*.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) (*.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))) (*.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) (*.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 x #s(literal 1 binary32))))
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(/.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 x #s(literal 1 binary32))) #s(literal 2 binary32)) (+.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))))) (/.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (+.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))))))
(-.f32 (/.f32 (*.f32 (pow.f32 x #s(literal 12 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 x #s(literal 1 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))))))) (/.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal -3 binary32)) (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 x #s(literal 1 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))))))))
(-.f32 (/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 x #s(literal 1 binary32))) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 x #s(literal 8 binary32)) (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 (pow.f32 x #s(literal 12 binary32)) (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(-.f32 (/.f32 (/.f32 (pow.f32 x #s(literal 8 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32))))
(-.f32 (/.f32 (/.f32 (pow.f32 x #s(literal 12 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (-.f32 x #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (-.f32 x #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x))))
(-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 x (-.f32 #s(literal 1 binary32) x)) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 x (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 x (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) x)) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 x (/.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 (*.f32 x x) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) x)) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 (*.f32 x x) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 x x) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 (*.f32 x x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) x)) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) x) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 x x) (-.f32 x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(pow.f32 (*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x))) #s(literal 1/2 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
(+.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32)))
(neg.f32 (neg.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x))))

eval163.0ms (1.9%)

Memory
-12.5MiB live, 308.7MiB allocated
Compiler

Compiled 22 742 to 4 576 computations (79.9% saved)

prune63.0ms (0.7%)

Memory
-11.7MiB live, 147.3MiB allocated
Pruning

55 alts after pruning (42 fresh and 13 done)

PrunedKeptTotal
New94238980
Fresh246
Picked055
Done3811
Total947551 002
Accuracy
99.6%
Counts
1 002 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))) x)
16.4%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x)))))) x)
29.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))))) x)
29.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))))) x)
28.2%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
43.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
30.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x))) x)
30.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
43.4%
(copysign.f32 (log.f32 (+.f32 (exp.f32 (log.f32 (fabs.f32 x))) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
30.8%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
28.6%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))) x)
14.1%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
28.9%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
21.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(literal 1 binary32) x))) x)
14.2%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x x))) x)
11.7%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)))) x)
11.7%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x))))) x)
11.7%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/2 binary32) x))))) x)
11.7%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 #s(literal 1 binary32) x (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)))) x)
11.7%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 #s(literal 1 binary32) x (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x))))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (/.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) #s(literal -1 binary32)) x) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32))))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 1/3 binary32) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) x #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) #s(literal 1/4 binary32))) (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/9 binary32) (*.f32 x x))) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x))) x #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/9 binary32) (*.f32 x x)))) (neg.f32 (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)))) x #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))))) x #s(literal 1 binary32)) x))) x)
50.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)))) x #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32))))) x #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) x))) x)
50.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x))) (/.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)))) x #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (+.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)) x #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) #s(literal 1 binary32) #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32) #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) (*.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) x #s(literal 1 binary32)) x))) x)
43.6%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) (*.f32 #s(literal 1/3 binary32) x)) x #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
40.7%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) x))) x)
39.6%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32)) x))) x)
33.3%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
49.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)))) x))) x)
29.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) (*.f32 x (fma.f32 #s(literal 1/3 binary32) x (/.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)))) x))) x)
50.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x)
11.7%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* -1/2 x) 1) (*.f32 #s(literal -1/2 binary32) x)) x))) x)
Compiler

Compiled 1 843 to 1 010 computations (45.2% saved)

regimes201.0ms (2.3%)

Memory
16.9MiB live, 339.4MiB allocated
Counts
66 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* -1/2 x) 1) (*.f32 #s(literal -1/2 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) (*.f32 #s(literal 1/3 binary32) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 #s(literal 1 binary32) x (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 1/3 binary32) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (+.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) #s(literal 1 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 #s(literal 1 binary32) x (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) (*.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) (*.f32 x (fma.f32 #s(literal 1/3 binary32) x (/.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (/.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) #s(literal -1 binary32)) x) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/9 binary32) (*.f32 x x))) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/9 binary32) (*.f32 x x)))) (neg.f32 (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32))))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x))) (/.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) #s(literal 1/4 binary32))) (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) 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 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) 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 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x)))))) x)
(copysign.f32 (log.f32 (+.f32 (exp.f32 (log.f32 (fabs.f32 x))) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (sqrt.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -2 binary32))) (+.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))) (-.f32 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)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x)
Calls

2 calls:

134.0ms
x
64.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
96.7%3x
96.7%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes147.0ms (1.7%)

Memory
1.2MiB live, 313.8MiB allocated
Counts
53 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* -1/2 x) 1) (*.f32 #s(literal -1/2 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) (*.f32 #s(literal 1/3 binary32) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 #s(literal 1 binary32) x (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) #s(literal 1 binary32)) x))) x)
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(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
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(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 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) 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)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x)
Calls

2 calls:

78.0ms
x
66.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
96.3%3x
96.3%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes223.0ms (2.6%)

Memory
6.2MiB live, 331.0MiB allocated
Counts
50 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* -1/2 x) 1) (*.f32 #s(literal -1/2 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) (*.f32 #s(literal 1/3 binary32) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 #s(literal 1 binary32) x (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 1/3 binary32) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (+.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) #s(literal 1 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 #s(literal 1 binary32) x (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) (*.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) (*.f32 x (fma.f32 #s(literal 1/3 binary32) x (/.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (/.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) #s(literal -1 binary32)) x) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/9 binary32) (*.f32 x x))) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/9 binary32) (*.f32 x x)))) (neg.f32 (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32))))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x))) (/.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) #s(literal 1/4 binary32))) (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) 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 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (/ (- (pow x 4) 1) (+ 1 x)) (- x 1))) 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)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
Calls

2 calls:

187.0ms
x
34.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
95.6%3x
95.6%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes136.0ms (1.6%)

Memory
7.0MiB live, 286.4MiB allocated
Counts
47 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* -1/2 x) 1) (*.f32 #s(literal -1/2 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) (*.f32 #s(literal 1/3 binary32) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 #s(literal 1 binary32) x (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 1/3 binary32) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (+.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) #s(literal 1 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 #s(literal 1 binary32) x (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) (*.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) (*.f32 x (fma.f32 #s(literal 1/3 binary32) x (/.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (/.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) #s(literal -1 binary32)) x) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/9 binary32) (*.f32 x x))) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/9 binary32) (*.f32 x x)))) (neg.f32 (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32))))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x))) (/.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) #s(literal 1/4 binary32))) (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) 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 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
Outputs
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
Calls

2 calls:

70.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
64.0ms
x
Results
AccuracySegmentsBranch
81.7%3x
81.7%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes103.0ms (1.2%)

Memory
-22.4MiB live, 257.1MiB allocated
Counts
46 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* -1/2 x) 1) (*.f32 #s(literal -1/2 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) (*.f32 #s(literal 1/3 binary32) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 #s(literal 1 binary32) x (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 1/3 binary32) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (+.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) #s(literal 1 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 #s(literal 1 binary32) x (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) (*.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) (*.f32 x (fma.f32 #s(literal 1/3 binary32) x (/.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (/.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) #s(literal -1 binary32)) x) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/9 binary32) (*.f32 x x))) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/9 binary32) (*.f32 x x)))) (neg.f32 (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32))))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x))) (/.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) #s(literal 1/4 binary32))) (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) 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 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
Outputs
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(literal 1 binary32) x))) x)
Calls

2 calls:

72.0ms
x
29.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
67.8%3x
67.8%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes124.0ms (1.4%)

Memory
4.4MiB live, 237.8MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* -1/2 x) 1) (*.f32 #s(literal -1/2 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) (*.f32 #s(literal 1/3 binary32) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 #s(literal 1 binary32) x (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 1/3 binary32) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (+.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) #s(literal 1 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 #s(literal 1 binary32) x (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) (*.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) (*.f32 x (fma.f32 #s(literal 1/3 binary32) x (/.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (/.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) #s(literal -1 binary32)) x) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/9 binary32) (*.f32 x x))) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/9 binary32) (*.f32 x x)))) (neg.f32 (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32))))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x))) (/.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) #s(literal 1/4 binary32))) (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) 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 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
Outputs
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Calls

2 calls:

94.0ms
x
29.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
67.8%3x
67.8%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes75.0ms (0.9%)

Memory
9.5MiB live, 163.3MiB allocated
Counts
43 → 2
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* -1/2 x) 1) (*.f32 #s(literal -1/2 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) (*.f32 #s(literal 1/3 binary32) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 #s(literal 1 binary32) x (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 1/3 binary32) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (+.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) #s(literal 1 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 #s(literal 1 binary32) x (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) (*.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) (*.f32 x (fma.f32 #s(literal 1/3 binary32) x (/.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (/.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) #s(literal -1 binary32)) x) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/9 binary32) (*.f32 x x))) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/9 binary32) (*.f32 x x)))) (neg.f32 (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32))))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x))) (/.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) #s(literal 1/4 binary32))) (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) 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 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Calls

2 calls:

51.0ms
x
22.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
59.3%2x
59.3%2(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes54.0ms (0.6%)

Memory
-16.7MiB live, 65.1MiB allocated
Accuracy

Total -13.0b remaining (-82.6%)

Threshold costs -13b (-82.6%)

Counts
39 → 1
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* -1/2 x) 1) (*.f32 #s(literal -1/2 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) (*.f32 #s(literal 1/3 binary32) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 #s(literal 1 binary32) x (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 1/3 binary32) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (+.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x) #s(literal 1 binary32) #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 #s(literal 1 binary32) x (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(approx (+ (* 1/3 x) -1/2) (*.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) (*.f32 x (fma.f32 #s(literal 1/3 binary32) x (/.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (/.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) #s(literal -1 binary32)) x) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/9 binary32) (*.f32 x x))) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/9 binary32) (*.f32 x x)))) (neg.f32 (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/9 binary32) (*.f32 x x) #s(literal -1/4 binary32))))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x))) (/.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) x)))) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/9 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32))) (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) #s(literal 1/4 binary32))) (*.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/3 binary32) x #s(literal 1/2 binary32)))) x #s(literal 1 binary32)) x))) x)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x)
Calls

2 calls:

41.0ms
x
9.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
50.8%1x
50.8%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.23859505355358124
2.1926350593566895
0.0ms
-1.3639792203903198
-0.5039117932319641
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.23859505355358124
2.1926350593566895
0.0ms
-1.3639792203903198
-0.5039117932319641
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.23859505355358124
2.1926350593566895
0.0ms
-1.3639792203903198
-0.5039117932319641
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.23859505355358124
2.1926350593566895
0.0ms
-1.9398653507232666
-1.5444084405899048
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.23859505355358124
2.1926350593566895
0.0ms
-1.9398653507232666
-1.5444084405899048
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.23859505355358124
2.1926350593566895
0.0ms
-1.9398653507232666
-1.5444084405899048
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.23859505355358124
2.1926350593566895
Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify27.0ms (0.3%)

Memory
6.4MiB live, 44.7MiB allocated
Algorithm
egg-herbie
Rules
16×+-commutative-binary32-+.f32
sub-neg-binary32-neg.f32-+.f32--.f32
*-commutative-binary32-*.f32
1-exp-binary32-exp.f32
neg-mul-1-binary32-*.f32-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078671
191671
295671
396671
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 -1 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) 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 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 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) 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 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 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -13421773/8388608 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.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 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -13421773/8388608 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.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 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(literal 1 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 -13421773/8388608 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.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 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.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 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) 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 (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) 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 -1 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) 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 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 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) x)) (/.f32 #s(literal 1/2 binary32) x)))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (/ 1/2 x) (+ (fabs x) 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 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 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -13421773/8388608 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.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 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal -13421773/8388608 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -13421773/8388608 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.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 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(literal 1 binary32) x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal -13421773/8388608 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(literal 1 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 -13421773/8388608 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.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 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal -13421773/8388608 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.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 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal 13421773/33554432 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) 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 (+ 1 x)) (*.f32 #s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary32)) x))) x)

soundness1.5s (17%)

Memory
11.3MiB live, 900.1MiB allocated
Rules
24 610×lower-fma.f64
24 610×lower-fma.f32
13 748×lower-fma.f64
13 748×lower-fma.f32
9 928×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037272
061272
1209232
21725232
08308214
03424147
19833826
230543695
084273446
0169782
1490754
21513741
35415691
08408635
03123372
18743170
227333119
083392873
02423214
16823068
219523023
351812890
083532656
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 517 to 204 computations (60.5% saved)

preprocess79.0ms (0.9%)

Memory
-4.2MiB live, 108.6MiB allocated
Compiler

Compiled 772 to 162 computations (79% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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