Rust f32::asinh

Time bar (total: 11.6s)

analyze0.0ms (0%)

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

Compiled 4 to 4 computations (0% saved)

sample351.0ms (3%)

Memory
-6.1MiB live, 785.0MiB allocated
Samples
257.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 138.0ms
ival-asinh: 130.0ms (94% of total)
ival-true: 5.0ms (3.6% of total)
ival-assert: 3.0ms (2.2% of total)
Bogosity

preprocess11.0ms (0.1%)

Memory
26.3MiB live, 26.3MiB allocated
Algorithm
egg-herbie
Rules
12×sub-neg
+-lowering-+.f64
+-lowering-+.f32
+-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
1119
2159
3189
4229
5299
6369
0912
11312
01311
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
Outputs
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
Call 2
Inputs
(asinh x)
(asinh (neg x))
(neg (asinh (neg x)))
Outputs
(asinh x)
(asinh (neg x))
(neg (asinh (neg x)))

explain534.0ms (4.6%)

Memory
-238.2MiB live, 374.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1140-0-(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
690-0-(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)))))sensitivity1130
sqrt.f32(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))oflow-rescue690
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow69
(*.f32 x x)overflow69
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue10
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))overflow1
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow69
(*.f32 x x)overflow69
Confusion
Predicted +Predicted -
+1820
-074
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+18200
-0074
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
074
1181
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
319.0ms158×1valid
36.0ms354×0valid
Compiler

Compiled 128 to 40 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 340.0ms
adjust: 290.0ms (85.4% of total)
ival-hypot: 13.0ms (3.8% of total)
ival-log: 11.0ms (3.2% of total)
ival-mult: 8.0ms (2.4% of total)
ival-copysign: 6.0ms (1.8% of total)
ival-add: 6.0ms (1.8% of total)
ival-fabs: 4.0ms (1.2% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0%)

Memory
8.5MiB live, 8.5MiB 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
+-lowering-+.f64
+-lowering-+.f32
+-commutative
sqrt-lowering-sqrt.f64
copysign-lowering-copysign.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0949
11349
01344
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(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
(sqrt (+ (* x x) 1))
(+ (* x x) 1)
(* x x)
1
Outputs
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(+ (fabs x) (sqrt (+ (* x x) 1)))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fabs x)
(fabs.f32 x)
x
(sqrt (+ (* x x) 1))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(+ (* x x) 1)
(fma.f32 x x #s(literal 1 binary32))
(* x x)
(*.f32 x x)
1
#s(literal 1 binary32)

localize49.0ms (0.4%)

Memory
-6.8MiB live, 109.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy99.9%
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy76.8%
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
accuracy64.0%
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
Samples
17.0ms177×0valid
15.0ms79×1valid
Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-hypot: 6.0ms (25.9% of total)
ival-log: 6.0ms (25.9% of total)
ival-copysign: 3.0ms (13% of total)
ival-add: 3.0ms (13% of total)
ival-mult: 2.0ms (8.6% of total)
ival-fabs: 2.0ms (8.6% of total)
adjust: 1.0ms (4.3% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0%)

Memory
11.8MiB live, 11.9MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (+ (* x x) 1)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)>
#<alt (log (+ (fabs x) (sqrt (+ (* x x) 1))))>
#<alt (+ (fabs x) (sqrt (+ (* x x) 1)))>
#<alt (sqrt (+ (* x x) 1))>
Outputs
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
Calls

15 calls:

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

rewrite300.0ms (2.6%)

Memory
27.3MiB live, 698.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 872×accelerator-lowering-fma.f32
5 872×accelerator-lowering-fma.f64
3 070×*-lowering-*.f32
3 070×*-lowering-*.f64
2 316×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0942
14442
231742
3342042
0835437
Stop Event
iter limit
node limit
Counts
5 → 272
Calls
Call 1
Inputs
(+ (* 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))
Outputs
(hypot.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(hypot.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(hypot.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 (neg.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(hypot.f32 (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(hypot.f32 (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(hypot.f32 (*.f32 (neg.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(neg.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))
(exp.f32 (log1p.f32 (*.f32 x x)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 (*.f32 x x))) #s(literal -1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fabs.f32 (fma.f32 x x #s(literal 1 binary32)))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 2 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 4 binary32))
(pow.f32 (*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1/4 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (log1p.f32 (*.f32 x x))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x))))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log1p.f32 (*.f32 x x)))
(fma.f32 x x #s(literal 1 binary32))
(fma.f32 x (/.f32 (*.f32 x (*.f32 x x)) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x x)) (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 #s(literal -1 binary32) (*.f32 x (neg.f32 x)) #s(literal 1 binary32))
(fma.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)) #s(literal 1 binary32))
(fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (/.f32 (*.f32 x (*.f32 x x)) (+.f32 x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) (/.f32 (*.f32 x x) (+.f32 x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) (/.f32 x (+.f32 x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x)) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 (*.f32 (neg.f32 x) #s(literal -1 binary32)) x #s(literal 1 binary32))
(fma.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32))) (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (exp.f32 (log.f32 (neg.f32 x))) (exp.f32 (log.f32 (neg.f32 x))) #s(literal 1 binary32))
(-.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32))))
(/.f32 (fma.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))
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(/.f32 (*.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 (*.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 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x (*.f32 x x))))))
(/.f32 (*.f32 (fma.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (neg.f32 (*.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 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (*.f32 (fma.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (neg.f32 (*.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 #s(literal 1 binary32) (-.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))) (*.f32 x (*.f32 x (*.f32 x x)))))
(/.f32 (*.f32 (*.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (fma.f32 (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 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (fma.f32 (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 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (neg.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 x (*.f32 x x))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))))
(*.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(*.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))))) (fma.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 x (*.f32 x x)) (neg.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))))) (-.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(*.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))) (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 x x (fma.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x))))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (*.f32 x x))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (*.f32 x x)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (-.f32 (log1p.f32 (*.f32 x x)) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x)))))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1/8 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log1p.f32 (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))))
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))

simplify569.0ms (4.9%)

Memory
17.5MiB live, 996.6MiB allocated
Algorithm
egg-herbie
Rules
24 610×accelerator-lowering-fma.f32
24 610×accelerator-lowering-fma.f64
4 994×*-lowering-*.f32
4 994×*-lowering-*.f64
4 040×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169758
1490730
21511717
35413667
08421611
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))
(+ (* -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 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (+.f32 (log.f32 x) (fma.f32 (*.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (*.f32 x x) #s(literal -3 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 x x))) (/.f32 (fabs.f32 x) x))))
(* -1 (log (/ -1 x)))
(neg.f32 (neg.f32 (log.f32 (neg.f32 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) #s(literal 1/2 binary32)) x) (fabs.f32 x)) x) (neg.f32 (log.f32 (neg.f32 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (fma.f32 (*.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (*.f32 x x) #s(literal -3 binary32))) (/.f32 #s(literal -1/6 binary32) x) #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (neg.f32 (log.f32 (neg.f32 x))))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f32 x (fabs.f32 x))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(+.f32 (fma.f32 x (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) (fabs.f32 x))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 (fabs.f32 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x)
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (/.f32 #s(literal 1/2 binary32) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f32 x (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 x (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f32 x (/.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(+.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))

eval52.0ms (0.4%)

Memory
-30.3MiB live, 92.4MiB allocated
Compiler

Compiled 10 021 to 1 574 computations (84.3% saved)

prune63.0ms (0.5%)

Memory
26.5MiB live, 143.2MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New31418332
Fresh000
Picked101
Done000
Total31518333
Accuracy
99.8%
Counts
333 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.8%
(copysign.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x)
51.4%
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
50.6%
(copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
16.2%
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
68.6%
(copysign.f32 (+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))) x)
16.5%
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
39.0%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
15.3%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
66.9%
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
28.7%
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
25.9%
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
39.0%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
37.3%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
32.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
33.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
32.8%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
19.7%
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
15.4%
(copysign.f32 (log.f32 x) x)
Compiler

Compiled 672 to 356 computations (47% saved)

simplify425.0ms (3.7%)

Memory
-15.2MiB live, 475.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 x x))
cost-diff0
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))
cost-diff0
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
cost-diff256
(fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))
cost-diff0
(-.f32 (fabs.f32 x) x)
cost-diff0
(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))
cost-diff0
(log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
cost-diff0
(fabs.f32 x)
cost-diff0
(-.f32 (fabs.f32 x) x)
cost-diff0
(log.f32 (-.f32 (fabs.f32 x) x))
cost-diff0
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
cost-diff0
(log.f32 x)
cost-diff0
(copysign.f32 (log.f32 x) x)
cost-diff32
(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)))
cost-diff32
(fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
cost-diff64
(/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))
cost-diff96
(*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
Rules
8 320×accelerator-lowering-fma.f32
8 320×accelerator-lowering-fma.f64
3 148×--lowering--.f32
3 148×--lowering--.f64
1 920×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037418
173406
2136406
3242396
4404386
5822386
61727382
72677382
83499382
93875382
104027382
114116382
124126382
134226382
145001382
156533382
08032350
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(copysign (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (* (+ (fabs x) (sqrt (+ (* x x) 1))) (/ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))))) x)
(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (* (+ (fabs x) (sqrt (+ (* x x) 1))) (/ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))))
(log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))
(+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))
x
(* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))
(fabs x)
(- (fabs x) (sqrt (+ (* x x) 1)))
(sqrt (+ (* x x) 1))
(+ (* x x) 1)
1
(log (* (+ (fabs x) (sqrt (+ (* x x) 1))) (/ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))))
(* (+ (fabs x) (sqrt (+ (* x x) 1))) (/ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))
(+ (fabs x) (sqrt (+ (* x x) 1)))
(/ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))
(+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))
(copysign (log x) x)
(log x)
x
(copysign (log (- (fabs x) x)) x)
(log (- (fabs x) x))
(- (fabs x) x)
(fabs x)
x
(copysign (log (+ (- (fabs x) x) (/ -1/2 x))) x)
(log (+ (- (fabs x) x) (/ -1/2 x)))
(+ (- (fabs x) x) (/ -1/2 x))
(- (fabs x) x)
(fabs x)
x
(/ -1/2 x)
-1/2
(copysign (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (+ (log x) (/ (fabs x) x))) x)
(+ (* 1/2 (+ (/ 1 (* x x)) -1)) (+ (log x) (/ (fabs x) x)))
1/2
(+ (/ 1 (* x x)) -1)
(/ 1 (* x x))
1
(* x x)
x
-1
(+ (log x) (/ (fabs x) x))
(log x)
(/ (fabs x) x)
(fabs x)
Outputs
(copysign (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (* (+ (fabs x) (sqrt (+ (* x x) 1))) (/ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))))) x)
(copysign.f32 (+.f32 (log1p.f32 (neg.f32 (*.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) #s(literal -2 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.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))))) #s(literal 1 binary32))))) x)
(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (* (+ (fabs x) (sqrt (+ (* x x) 1))) (/ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))))
(+.f32 (log1p.f32 (neg.f32 (*.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) #s(literal -2 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.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))))) #s(literal 1 binary32)))))
(log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))
(log1p.f32 (neg.f32 (*.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) #s(literal -2 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))
(neg.f32 (*.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) #s(literal -2 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
x
(* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))
(*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fabs x)
(fabs.f32 x)
(- (fabs x) (sqrt (+ (* x x) 1)))
(-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt (+ (* x x) 1))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(+ (* x x) 1)
(fma.f32 x x #s(literal 1 binary32))
1
#s(literal 1 binary32)
(log (* (+ (fabs x) (sqrt (+ (* x x) 1))) (/ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))))
(log.f32 (/.f32 (+.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))))) #s(literal 1 binary32))))
(* (+ (fabs x) (sqrt (+ (* x x) 1))) (/ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))
(/.f32 (+.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))))) #s(literal 1 binary32)))
(+ (fabs x) (sqrt (+ (* x x) 1)))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))
(/.f32 #s(literal -1 binary32) (fma.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) #s(literal -2 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32)))
(+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))
(fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(log x)
(log.f32 x)
x
(copysign (log (- (fabs x) x)) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(log (- (fabs x) x))
(log.f32 (-.f32 (fabs.f32 x) x))
(- (fabs x) x)
(-.f32 (fabs.f32 x) x)
(fabs x)
(fabs.f32 x)
x
(copysign (log (+ (- (fabs x) x) (/ -1/2 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) x)
(log (+ (- (fabs x) x) (/ -1/2 x)))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(+ (- (fabs x) x) (/ -1/2 x))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(- (fabs x) x)
(-.f32 (fabs.f32 x) x)
(fabs x)
(fabs.f32 x)
x
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
-1/2
#s(literal -1/2 binary32)
(copysign (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (+ (log x) (/ (fabs x) x))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x))) x)
(+ (* 1/2 (+ (/ 1 (* x x)) -1)) (+ (log x) (/ (fabs x) x)))
(+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)))
1/2
#s(literal 1/2 binary32)
(+ (/ 1 (* x x)) -1)
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))
(/ 1 (* x x))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
1
#s(literal 1 binary32)
(* x x)
(*.f32 x x)
x
-1
#s(literal -1 binary32)
(+ (log x) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(log x)
(log.f32 x)
(/ (fabs x) x)
(/.f32 (fabs.f32 x) x)
(fabs x)
(fabs.f32 x)

localize161.0ms (1.4%)

Memory
-14.9MiB live, 299.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
accuracy100.0%
(*.f32 x x)
accuracy100.0%
(log.f32 x)
accuracy100.0%
(fabs.f32 x)
accuracy100.0%
(-.f32 (fabs.f32 x) x)
accuracy100.0%
(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))
accuracy100.0%
(log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)))
accuracy100.0%
(fabs.f32 x)
accuracy100.0%
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
accuracy100.0%
(-.f32 (fabs.f32 x) x)
accuracy100.0%
(log.f32 (-.f32 (fabs.f32 x) x))
accuracy100.0%
(fabs.f32 x)
accuracy100.0%
(copysign.f32 (log.f32 x) x)
accuracy100.0%
(log.f32 x)
accuracy100.0%
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
accuracy100.0%
(log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
accuracy100.0%
(log.f32 (*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
accuracy100.0%
(fabs.f32 x)
Samples
69.0ms256×0invalid
Compiler

Compiled 377 to 38 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-copysign: 10.0ms (18.8% of total)
ival-add: 10.0ms (18.8% of total)
ival-log: 10.0ms (18.8% of total)
ival-div: 7.0ms (13.1% of total)
ival-mult: 6.0ms (11.3% of total)
ival-sub: 3.0ms (5.6% of total)
ival-log1p: 3.0ms (5.6% of total)
ival-sqrt: 2.0ms (3.8% of total)
ival-fabs: 1.0ms (1.9% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series84.0ms (0.7%)

Memory
9.3MiB live, 164.3MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#<alt (* (+ (fabs x) (sqrt (+ (* x x) 1))) (/ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))>
#<alt (/ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))>
#<alt (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))>
#<alt (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))>
#<alt (copysign (log x) x)>
#<alt (log x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (log (- (fabs x) x))>
#<alt (- (fabs x) x)>
#<alt (fabs x)>
#<alt (copysign (log (+ (- (fabs x) x) (/ -1/2 x))) x)>
#<alt (log (+ (- (fabs x) x) (/ -1/2 x)))>
#<alt (+ (- (fabs x) x) (/ -1/2 x))>
#<alt (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (+ (log x) (/ (fabs x) x)))>
#<alt (copysign (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (+ (log x) (/ (fabs x) x))) x)>
#<alt (+ (/ 1 (* x x)) -1)>
#<alt (/ 1 (* x x))>
#<alt (log (* (+ (fabs x) (sqrt (+ (* x x) 1))) (/ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))))>
#<alt (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))>
#<alt (sqrt (+ (* x x) 1))>
#<alt (* x x)>
#<alt (+ (log x) (/ (fabs x) x))>
Outputs
#<alt (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))>
#<alt (+ (* (pow x 2) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))>
#<alt (+ (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))>
#<alt (+ (* (pow x 2) (- (+ (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (- (* (pow x 2) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))>
#<alt (/ 1 x)>
#<alt (/ (- (+ 1 (/ (fabs x) x)) (* -1 (/ (fabs x) x))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) (* -1 (/ (fabs x) x))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x)))))) (pow x 3))) (/ (fabs x) x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1 (/ (* (fabs x) (- (fabs x) (* -1 (fabs x)))) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (fabs x) (* -1 (fabs x))) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (fabs x) (+ (* -1 (/ (* (fabs x) (- (fabs x) (* -1 (fabs x)))) x)) (+ (* 1/2 (/ 1 x)) (/ (pow (fabs x) 2) x)))) (* -1 (fabs x))) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (fabs x) (* -1 (/ (- (+ (* -1/2 (/ (fabs x) x)) (+ (/ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) x) (/ (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x)))) x))) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) x))) (* -1 (fabs x))) x))) x))>
#<alt (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))>
#<alt (+ (* -1 (* (pow x 2) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))>
#<alt (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 1/8 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 1/8 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/8 (/ (* (fabs x) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* -1/16 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 1/8 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (/ (fabs x) x)) (pow x 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ 1 (+ (* -1 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow x 2)))) (* -1 (/ (fabs x) x))) (pow x 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1 (+ (* -1 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* (fabs x) (+ 1 (pow (fabs x) 2))))) (pow x 3)))) (+ (* -1 (/ (fabs x) x)) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (fabs x) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (+ (/ 1 x) (/ (pow (fabs x) 2) x))) (* -1 (fabs x))) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (fabs x) x)) (+ (/ (* (fabs x) (+ 1 (+ (* -1 (pow (fabs x) 2)) (pow (fabs x) 2)))) x) (/ (* (fabs x) (+ 1 (pow (fabs x) 2))) x))) (+ 1 (+ (* -1 (pow (fabs x) 2)) (pow (fabs x) 2)))) x)) (* -1 (fabs x))) x))) (pow x 2))>
#<alt (* (fabs x) (- (fabs x) 1))>
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))>
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))>
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (fabs x) x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))>
#<alt (+ 1 (* (fabs x) (- (fabs x) 1)))>
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))))>
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))))>
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (fabs x) x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (pow (fabs x) 2)) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2))) x))) x))))>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
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#<alt (log (/ 1 x))>
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#<alt (- (+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x)))) (* -1 (/ (fabs x) x)))>
#<alt (log (/ -1 x))>
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#<alt (+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))))>
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#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x)))>
#<alt 1>
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#<alt x>
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#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))>
Calls

66 calls:

TimeVariablePointExpression
26.0ms
x
@0
(log x)
19.0ms
x
@-inf
(log x)
6.0ms
x
@inf
(log x)
5.0ms
x
@0
(log (* (+ (fabs x) (sqrt (+ (* x x) 1))) (/ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))))
2.0ms
x
@0
(* (+ (fabs x) (sqrt (+ (* x x) 1))) (/ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))

rewrite611.0ms (5.3%)

Memory
21.1MiB live, 821.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 576×accelerator-lowering-fma.f32
6 576×accelerator-lowering-fma.f64
4 494×/-lowering-/.f32
4 494×/-lowering-/.f64
3 780×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035246
1217238
22198235
09352212
Stop Event
iter limit
node limit
Counts
22 → 777
Calls
Call 1
Inputs
(* (+ (fabs x) (sqrt (+ (* x x) 1))) (/ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))
(/ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))
(+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))
(+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))
(copysign (log x) x)
(log x)
(copysign (log (- (fabs x) x)) x)
(log (- (fabs x) x))
(- (fabs x) x)
(fabs x)
(copysign (log (+ (- (fabs x) x) (/ -1/2 x))) x)
(log (+ (- (fabs x) x) (/ -1/2 x)))
(+ (- (fabs x) x) (/ -1/2 x))
(+ (* 1/2 (+ (/ 1 (* x x)) -1)) (+ (log x) (/ (fabs x) x)))
(copysign (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (+ (log x) (/ (fabs x) x))) x)
(+ (/ 1 (* x x)) -1)
(/ 1 (* x x))
(log (* (+ (fabs x) (sqrt (+ (* x x) 1))) (/ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))))
(log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))
(sqrt (+ (* x x) 1))
(* x x)
(+ (log x) (/ (fabs x) x))
Outputs
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x)) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x)))
(+.f32 (*.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(+.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) (*.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(pow.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal -1 binary32))
(fma.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (*.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x)))
(-.f32 (/.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (/.f32 (fma.f32 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) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(-.f32 (/.f32 (*.f32 x x) (*.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 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (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) (neg.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (*.f32 (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))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (*.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) (*.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (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 (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal -1 binary32)) (*.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (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 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (*.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1 binary32)) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (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 #s(literal 1 binary32) (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.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))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 (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)))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (*.f32 (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 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (neg.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (neg.f32 (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))))
(/.f32 (*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32)) (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (*.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 (*.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (*.f32 #s(literal -1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (neg.f32 (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (neg.f32 (*.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (neg.f32 (*.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal -1 binary32))) (neg.f32 (*.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (*.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))) (neg.f32 (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (neg.f32 (*.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1 binary32))) (neg.f32 (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (neg.f32 (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
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(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (*.f32 (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 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
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(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))) (+.f32 (/.f32 x (fabs.f32 x)) (pow.f32 (log.f32 x) #s(literal 3 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (log.f32 x) (/.f32 x (fabs.f32 x))) (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32)))))
(/.f32 (+.f32 (/.f32 x (fabs.f32 x)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (-.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))))
(/.f32 (+.f32 (/.f32 x (fabs.f32 x)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (log.f32 x) (/.f32 x (fabs.f32 x))))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32)) (-.f32 (log.f32 x) (/.f32 x (fabs.f32 x))))
(/.f32 (neg.f32 (+.f32 (/.f32 x (fabs.f32 x)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (neg.f32 (-.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (log.f32 x) (/.f32 x (fabs.f32 x))))))
(/.f32 (neg.f32 (+.f32 (/.f32 x (fabs.f32 x)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32))) (neg.f32 (-.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (-.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)))
(/.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 x (fabs.f32 x)) (pow.f32 (log.f32 x) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (-.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (-.f32 (log.f32 x) (/.f32 x (fabs.f32 x))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (neg.f32 (-.f32 (/.f32 x (fabs.f32 x)) (log.f32 x))))
(*.f32 (+.f32 (/.f32 x (fabs.f32 x)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (log.f32 x) (/.f32 x (fabs.f32 x))))))
(*.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))))

simplify485.0ms (4.2%)

Memory
13.0MiB live, 726.9MiB allocated
Algorithm
egg-herbie
Rules
9 216×accelerator-lowering-fma.f32
9 216×accelerator-lowering-fma.f64
5 422×*-lowering-*.f32
5 422×*-lowering-*.f64
4 718×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06725626
121155196
276635189
081794823
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
(/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))
(+ (* (pow x 2) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))
(+ (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))
(+ (* (pow x 2) (- (+ (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (- (* (pow x 2) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))
(/ 1 x)
(/ (- (+ 1 (/ (fabs x) x)) (* -1 (/ (fabs x) x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) (* -1 (/ (fabs x) x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x)))))) (pow x 3))) (/ (fabs x) x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1 (/ (* (fabs x) (- (fabs x) (* -1 (fabs x)))) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ (- (fabs x) (* -1 (fabs x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (fabs x) (+ (* -1 (/ (* (fabs x) (- (fabs x) (* -1 (fabs x)))) x)) (+ (* 1/2 (/ 1 x)) (/ (pow (fabs x) 2) x)))) (* -1 (fabs x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (fabs x) (* -1 (/ (- (+ (* -1/2 (/ (fabs x) x)) (+ (/ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) x) (/ (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x)))) x))) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) x))) (* -1 (fabs x))) x))) x))
(/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))
(+ (* -1 (* (pow x 2) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))
(+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 1/8 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 1/8 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/8 (/ (* (fabs x) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* -1/16 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 1/8 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))
(/ 1 (pow x 2))
(/ (+ 1 (/ (fabs x) x)) (pow x 2))
(/ (- (+ 1 (* -1 (/ (+ 1 (+ (* -1 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow x 2)))) (* -1 (/ (fabs x) x))) (pow x 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1 (+ (* -1 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* (fabs x) (+ 1 (pow (fabs x) 2))))) (pow x 3)))) (+ (* -1 (/ (fabs x) x)) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* -1 (/ (fabs x) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (+ (/ 1 x) (/ (pow (fabs x) 2) x))) (* -1 (fabs x))) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (fabs x) x)) (+ (/ (* (fabs x) (+ 1 (+ (* -1 (pow (fabs x) 2)) (pow (fabs x) 2)))) x) (/ (* (fabs x) (+ 1 (pow (fabs x) 2))) x))) (+ 1 (+ (* -1 (pow (fabs x) 2)) (pow (fabs x) 2)))) x)) (* -1 (fabs x))) x))) (pow x 2))
(* (fabs x) (- (fabs x) 1))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))
(+ 1 (* (fabs x) (- (fabs x) 1)))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (pow (fabs x) 2)) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2))) x))) x))))
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(log (fabs x))
(+ (log (fabs x)) (* -1 (/ x (fabs x))))
(+ (log (fabs x)) (* x (- (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))
(+ (log (fabs x)) (* x (- (* x (- (* -1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))
(+ (log -1) (* -1 (log (/ 1 x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* -1/2 (/ (pow (fabs x) 2) (pow x 2))))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (* -1/3 (/ (pow (fabs x) 3) (pow x 3)))))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/3 (/ (pow (fabs x) 3) x))) x))) x)))
(fabs x)
(+ (fabs x) (* -1 x))
(+ (fabs x) (* -1 x))
(+ (fabs x) (* -1 x))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -2 (* x (fabs x))) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2)))))))))
(+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -16 (pow (fabs x) 3)) (* 24 (fabs x))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))
(+ (log -1) (* -1 (log (/ 1 x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(/ -1/2 x)
(/ (- (* x (fabs x)) 1/2) x)
(/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)
(/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* x (fabs x))) (pow x 2))
(/ (+ 1/2 (* x (+ (fabs x) (* x (- (log x) 1/2))))) (pow x 2))
(/ (+ 1/2 (* x (+ (fabs x) (* x (- (log x) 1/2))))) (pow x 2))
(- (* -1 (log (/ 1 x))) 1/2)
(- (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) 1/2)
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) 1/2)
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) 1/2)
(- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2)
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) 1/2)
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)))) 1/2)
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)))) 1/2)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(/ 1 (pow x 2))
(/ (+ 1 (* -1 (pow x 2))) (pow x 2))
(/ (+ 1 (* -1 (pow x 2))) (pow x 2))
(/ (+ 1 (* -1 (pow x 2))) (pow x 2))
-1
(- (/ 1 (pow x 2)) 1)
(- (/ 1 (pow x 2)) 1)
(- (/ 1 (pow x 2)) 1)
-1
(- (/ 1 (pow x 2)) 1)
(- (/ 1 (pow x 2)) 1)
(- (/ 1 (pow x 2)) 1)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1)))))
(+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (pow x 2) (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (+ 1 (fabs x))))
(+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2)))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))
(+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* 240 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 3)) (pow (+ 1 (fabs x)) 3))) (+ (* 720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ 1 (fabs x)))) (* 720 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (* (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (pow (+ 1 (fabs x)) 2))))))) (* 1/24 (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))
(log (/ 1 x))
(- (+ (log (/ 1 x)) (/ (fabs x) x)) (* -1 (/ (fabs x) x)))
(- (+ (log (/ 1 x)) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x))) (* -1 (/ (fabs x) x)))
(- (+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x)))) (* -1 (/ (fabs x) x)))
(log (/ -1 x))
(+ (log (/ -1 x)) (* -1 (/ (- (fabs x) (* -1 (fabs x))) x)))
(+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) x))) (* -1 (fabs x))) x)))
(+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))))) x))) (* -1 (fabs x))) x)))
(log (+ 1 (* (fabs x) (- (fabs x) 1))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* -1 (/ (fabs x) x)))
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2)))))
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))))
(* -2 (log (/ -1 x)))
(+ (* -2 (log (/ -1 x))) (/ (fabs x) x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x)))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (fabs x) x)
(/ (+ (fabs x) (* x (log x))) x)
(/ (+ (fabs x) (* x (log x))) x)
(/ (+ (fabs x) (* x (log x))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
Outputs
(/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))
(/.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)))
(+ (* (pow x 2) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))
(fma.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32))) (*.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(+ (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))
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(log (+ 1 (* (fabs x) (- (fabs x) 1))))
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(fma.f32 (*.f32 x x) (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32))) (*.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 (/.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal 1/8 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))))) (log1p.f32 (fma.f32 x x (neg.f32 (fabs.f32 x)))))
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(fma.f32 (*.f32 x x) (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 #s(literal 240 binary32) (/.f32 (*.f32 (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32)) (*.f32 (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32)))) (*.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 (/.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal -45 binary32) (/.f32 (*.f32 #s(literal -90 binary32) (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (fabs.f32 x))) (*.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)))))) #s(literal 1/720 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32))) (*.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 (/.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal 1/8 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))))) (log1p.f32 (fma.f32 x x (neg.f32 (fabs.f32 x)))))
(* -2 (log (/ 1 x)))
(*.f32 #s(literal 2 binary32) (log.f32 x))
(+ (* -2 (log (/ 1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)) (/.f32 (fabs.f32 x) x))
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2)))))
(fma.f32 #s(literal 2 binary32) (log.f32 x) (-.f32 (/.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 x x)) (/.f32 (fabs.f32 x) x)))
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))))
(fma.f32 #s(literal 2 binary32) (log.f32 x) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal -3 binary32) (fma.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -2 binary32)) (*.f32 (fabs.f32 x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 6 binary32))))) (*.f32 x (*.f32 x x))) (-.f32 (/.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 x x)) (/.f32 (fabs.f32 x) x))))
(* -2 (log (/ -1 x)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32))
(+ (* -2 (log (/ -1 x))) (/ (fabs x) x))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32) (/.f32 (fabs.f32 x) x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x)))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (neg.f32 x))) x) (neg.f32 (fabs.f32 x))) (neg.f32 x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x)))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32) (/.f32 (-.f32 (neg.f32 (fabs.f32 x)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal -3 binary32) (fma.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -2 binary32)) (*.f32 (fabs.f32 x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 6 binary32))))) x) (fma.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) x)) (neg.f32 x)))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(*.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(*.f32 x (+.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(neg.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(*.f32 (neg.f32 x) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(*.f32 (neg.f32 x) (+.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(/ (fabs x) x)
(/.f32 (fabs.f32 x) x)
(/ (+ (fabs x) (* x (log x))) x)
(/.f32 (fma.f32 x (log.f32 x) (fabs.f32 x)) x)
(/ (+ (fabs x) (* x (log x))) x)
(/.f32 (fma.f32 x (log.f32 x) (fabs.f32 x)) x)
(/ (+ (fabs x) (* x (log x))) x)
(/.f32 (fma.f32 x (log.f32 x) (fabs.f32 x)) x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 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))) (/ (fabs x) x)))
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(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+.f32 (/.f32 (fabs.f32 x) x) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))

eval308.0ms (2.6%)

Memory
14.4MiB live, 352.5MiB allocated
Compiler

Compiled 59 748 to 5 353 computations (91% saved)

prune345.0ms (3%)

Memory
-29.4MiB live, 410.6MiB allocated
Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New1 28361 289
Fresh01313
Picked235
Done000
Total1 285221 307
Accuracy
99.8%
Counts
1 307 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.8%
(copysign.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x)
51.4%
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
50.6%
(copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
14.2%
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)) x)
8.8%
(copysign.f32 (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) x)
7.4%
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
15.7%
(copysign.f32 (-.f32 (/.f32 (pow.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) #s(literal 2 binary32)) (-.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (/.f32 x (fabs.f32 x)))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (/.f32 x (fabs.f32 x))))) x)
68.7%
(copysign.f32 (+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (neg.f32 (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) x)
16.5%
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
17.1%
(copysign.f32 (+.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
39.0%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
15.3%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
66.9%
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
28.7%
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
25.9%
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
39.0%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
37.3%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
32.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
33.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
32.8%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
19.7%
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
15.4%
(copysign.f32 (log.f32 x) x)
Compiler

Compiled 801 to 412 computations (48.6% saved)

simplify502.0ms (4.3%)

Memory
7.2MiB live, 360.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fabs.f32 x)
cost-diff0
(+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
cost-diff0
(log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
cost-diff0
(fabs.f32 x)
cost-diff0
(+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))
cost-diff0
(log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
cost-diff0
(fabs.f32 x)
cost-diff0
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
cost-diff96
(log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
cost-diff0
(*.f32 x x)
cost-diff0
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
cost-diff0
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
cost-diff0
(copysign.f32 (+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (neg.f32 (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) x)
cost-diff32
(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)))
cost-diff32
(fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
cost-diff64
(+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (neg.f32 (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
Rules
5 584×accelerator-lowering-fma.f32
5 584×accelerator-lowering-fma.f64
1 888×*-lowering-*.f32
1 888×*-lowering-*.f64
1 288×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033438
158438
285438
3129428
4197418
5361418
6641418
71184418
81974418
93154418
104740418
115478418
125811418
135866418
145881418
155930418
165950418
175950418
186434418
196789418
206903418
216913418
226927418
236939418
246959418
256959418
266959418
06959372
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(copysign (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (neg (log (/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1))))))) x)
(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (neg (log (/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1)))))))
(log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))
(+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))
x
(* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))
(fabs x)
(- (fabs x) (sqrt (+ (* x x) 1)))
(sqrt (+ (* x x) 1))
(+ (* x x) 1)
1
(neg (log (/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1))))))
(log (/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1)))))
(/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1))))
(+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))
(+ (fabs x) (sqrt (+ (* x x) 1)))
(copysign (/ 1/2 (* x x)) x)
(/ 1/2 (* x x))
1/2
(* x x)
x
(copysign (log (+ (fabs x) 1)) x)
(log (+ (fabs x) 1))
(+ (fabs x) 1)
(fabs x)
x
1
(copysign (log (+ (fabs x) (+ x (/ 1/2 x)))) x)
(log (+ (fabs x) (+ x (/ 1/2 x))))
(+ (fabs x) (+ x (/ 1/2 x)))
(fabs x)
x
(+ x (/ 1/2 x))
(/ 1/2 x)
1/2
(copysign (log (+ (fabs x) (/ (+ (* x x) 1) (sqrt (+ (* x x) 1))))) x)
(log (+ (fabs x) (/ (+ (* x x) 1) (sqrt (+ (* x x) 1)))))
(+ (fabs x) (/ (+ (* x x) 1) (sqrt (+ (* x x) 1))))
(fabs x)
x
(/ (+ (* x x) 1) (sqrt (+ (* x x) 1)))
(+ (* x x) 1)
1
(sqrt (+ (* x x) 1))
Outputs
(copysign (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (neg (log (/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1))))))) x)
(copysign.f32 (-.f32 (log1p.f32 (*.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (neg (log (/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1)))))))
(-.f32 (log1p.f32 (*.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))
(log1p.f32 (*.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))
(*.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
x
(* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))
(*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fabs x)
(fabs.f32 x)
(- (fabs x) (sqrt (+ (* x x) 1)))
(-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt (+ (* x x) 1))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(+ (* x x) 1)
(fma.f32 x x #s(literal 1 binary32))
1
#s(literal 1 binary32)
(neg (log (/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1))))))
(neg.f32 (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(log (/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1)))))
(log.f32 (/.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1))))
(/.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))
(fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))
(+ (fabs x) (sqrt (+ (* x x) 1)))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(copysign (/ 1/2 (* x x)) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(/ 1/2 (* x x))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
1/2
#s(literal 1/2 binary32)
(* x x)
(*.f32 x x)
x
(copysign (log (+ (fabs x) 1)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log (+ (fabs x) 1))
(log1p.f32 (fabs.f32 x))
(+ (fabs x) 1)
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(fabs x)
(fabs.f32 x)
x
1
#s(literal 1 binary32)
(copysign (log (+ (fabs x) (+ x (/ 1/2 x)))) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)))) x)
(log (+ (fabs x) (+ x (/ 1/2 x))))
(log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x))))
(+ (fabs x) (+ x (/ 1/2 x)))
(+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)))
(fabs x)
(fabs.f32 x)
x
(+ x (/ 1/2 x))
(-.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
1/2
#s(literal 1/2 binary32)
(copysign (log (+ (fabs x) (/ (+ (* x x) 1) (sqrt (+ (* x x) 1))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(log (+ (fabs x) (/ (+ (* x x) 1) (sqrt (+ (* x x) 1)))))
(log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(+ (fabs x) (/ (+ (* x x) 1) (sqrt (+ (* x x) 1))))
(+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fabs x)
(fabs.f32 x)
x
(/ (+ (* x x) 1) (sqrt (+ (* x x) 1)))
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(+ (* x x) 1)
(fma.f32 x x #s(literal 1 binary32))
1
#s(literal 1 binary32)
(sqrt (+ (* x x) 1))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))

localize220.0ms (1.9%)

Memory
-25.4MiB live, 292.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
accuracy86.9%
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
accuracy86.8%
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
accuracy82.5%
(log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
accuracy100.0%
(fabs.f32 x)
accuracy100.0%
(+.f32 x (/.f32 #s(literal 1/2 binary32) x))
accuracy100.0%
(+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))
accuracy99.6%
(log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))
accuracy100.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
accuracy100.0%
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
accuracy100.0%
(fabs.f32 x)
accuracy82.8%
(log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
accuracy100.0%
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
accuracy100.0%
(*.f32 x x)
accuracy99.1%
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
accuracy86.7%
(/.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 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
accuracy85.7%
(log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
accuracy83.0%
(log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
accuracy74.8%
(-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
Samples
50.0ms91×1valid
47.0ms122×0invalid
9.0ms39×0valid
4.0ms2valid
Compiler

Compiled 390 to 34 computations (91.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-add: 14.0ms (17.2% of total)
ival-copysign: 13.0ms (16% of total)
ival-log: 13.0ms (16% of total)
ival-div: 9.0ms (11.1% of total)
adjust: 9.0ms (11.1% of total)
ival-log1p: 7.0ms (8.6% of total)
ival-neg: 6.0ms (7.4% of total)
ival-mult: 5.0ms (6.1% of total)
ival-sqrt: 3.0ms (3.7% of total)
ival-sub: 2.0ms (2.5% of total)
ival-fabs: 2.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series92.0ms (0.8%)

Memory
1.7MiB live, 155.2MiB allocated
Counts
24 → 288
Calls
Call 1
Inputs
#<alt (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (neg (log (/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1)))))))>
#<alt (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))>
#<alt (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))>
#<alt (copysign (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (neg (log (/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1))))))) x)>
#<alt (copysign (/ 1/2 (* x x)) x)>
#<alt (/ 1/2 (* x x))>
#<alt (* x x)>
#<alt (log (+ (fabs x) 1))>
#<alt (copysign (log (+ (fabs x) 1)) x)>
#<alt (+ (fabs x) 1)>
#<alt (fabs x)>
#<alt (copysign (log (+ (fabs x) (+ x (/ 1/2 x)))) x)>
#<alt (log (+ (fabs x) (+ x (/ 1/2 x))))>
#<alt (+ (fabs x) (+ x (/ 1/2 x)))>
#<alt (copysign (log (+ (fabs x) (/ (+ (* x x) 1) (sqrt (+ (* x x) 1))))) x)>
#<alt (log (+ (fabs x) (/ (+ (* x x) 1) (sqrt (+ (* x x) 1)))))>
#<alt (+ (fabs x) (/ (+ (* x x) 1) (sqrt (+ (* x x) 1))))>
#<alt (- (fabs x) (sqrt (+ (* x x) 1)))>
#<alt (log (/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1)))))>
#<alt (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))>
#<alt (/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1))))>
#<alt (+ x (/ 1/2 x))>
#<alt (/ (+ (* x x) 1) (sqrt (+ (* x x) 1)))>
#<alt (sqrt (+ (* x x) 1))>
Outputs
#<alt (- (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))))>
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#<alt (+ (* -2 (log (/ 1 x))) (* -1 (/ (fabs x) x)))>
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#<alt (* -2 (log (/ -1 x)))>
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#<alt x>
#<alt (* x (- (+ 1 (* -1 (/ (fabs x) x))) (/ (fabs x) x)))>
#<alt (* x (- (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))) (+ (/ (fabs x) x) (/ (* (fabs x) (- (* -1 (fabs x)) (fabs x))) (pow x 2)))))>
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#<alt (/ 1/2 x)>
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#<alt (/ (+ 1/2 (pow x 2)) x)>
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#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
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#<alt x>
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#<alt 1>
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#<alt x>
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#<alt 1>
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#<alt x>
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#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
Calls

72 calls:

TimeVariablePointExpression
34.0ms
x
@inf
(log (+ (fabs x) 1))
17.0ms
x
@-inf
(log (+ (fabs x) 1))
16.0ms
x
@0
(log (+ (fabs x) 1))
4.0ms
x
@0
(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (neg (log (/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1)))))))
3.0ms
x
@inf
(/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1))))

rewrite406.0ms (3.5%)

Memory
57.2MiB live, 758.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 996×/-lowering-/.f32
4 996×/-lowering-/.f64
3 772×accelerator-lowering-fma.f32
3 772×accelerator-lowering-fma.f64
3 728×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033358
1204356
21949326
08721285
Stop Event
iter limit
node limit
Counts
24 → 883
Calls
Call 1
Inputs
(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (neg (log (/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1)))))))
(+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))
(+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))
(copysign (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (neg (log (/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1))))))) x)
(copysign (/ 1/2 (* x x)) x)
(/ 1/2 (* x x))
(* x x)
(log (+ (fabs x) 1))
(copysign (log (+ (fabs x) 1)) x)
(+ (fabs x) 1)
(fabs x)
(copysign (log (+ (fabs x) (+ x (/ 1/2 x)))) x)
(log (+ (fabs x) (+ x (/ 1/2 x))))
(+ (fabs x) (+ x (/ 1/2 x)))
(copysign (log (+ (fabs x) (/ (+ (* x x) 1) (sqrt (+ (* x x) 1))))) x)
(log (+ (fabs x) (/ (+ (* x x) 1) (sqrt (+ (* x x) 1)))))
(+ (fabs x) (/ (+ (* x x) 1) (sqrt (+ (* x x) 1))))
(- (fabs x) (sqrt (+ (* x x) 1)))
(log (/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1)))))
(log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))
(/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1))))
(+ x (/ 1/2 x))
(/ (+ (* x x) 1) (sqrt (+ (* x x) 1)))
(sqrt (+ (* x x) 1))
Outputs
(+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))))))
(+.f32 (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))))) (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(+.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))))) (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(pow.f32 (/.f32 (fma.f32 (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))))) (log.f32 (/.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))))) (pow.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 2 binary32))) (+.f32 (pow.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 3 binary32)) (pow.f32 (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (log.f32 (*.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (*.f32 (log.f32 (*.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))) (log.f32 (*.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))) #s(literal -1 binary32))
(fma.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal -1 binary32) (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(fma.f32 #s(literal -1 binary32) (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(-.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 2 binary32)) (log.f32 (*.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) (/.f32 (pow.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal 2 binary32)) (log.f32 (*.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))))
(-.f32 (+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 0 binary32)) (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 3 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))))) (/.f32 (pow.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal 3 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))))))
(-.f32 (/.f32 (pow.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal 2 binary32)) (log.f32 (/.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))) (/.f32 (pow.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 2 binary32)) (log.f32 (/.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))))) (log.f32 (/.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))))) (pow.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 2 binary32))) (+.f32 (pow.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 3 binary32)) (pow.f32 (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 (*.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (*.f32 (log.f32 (*.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))) (log.f32 (*.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))))
(/.f32 (+.f32 (pow.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 3 binary32)) (pow.f32 (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))))) #s(literal 3 binary32))) (fma.f32 (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))))) (log.f32 (/.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))))) (pow.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 3 binary32)) (pow.f32 (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))))))
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(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32)) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))))
(/.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x))))
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))))
(/.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
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(/.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
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(/.f32 (*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (-.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)))
(/.f32 (*.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x x #s(literal -1 binary32)))
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(/.f32 (sqrt.f32 (neg.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32)))))
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(/.f32 (neg.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (-.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (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 (neg.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))
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(*.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)))))
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(*.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (+.f32 (fabs.f32 x) #s(literal -1 binary32))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 x #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32))))

simplify540.0ms (4.6%)

Memory
-36.0MiB live, 777.0MiB allocated
Algorithm
egg-herbie
Rules
9 834×accelerator-lowering-fma.f32
9 834×accelerator-lowering-fma.f64
5 632×*-lowering-*.f32
5 632×*-lowering-*.f64
4 758×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06907269
121796857
277976849
080626222
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
(- (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))))
(- (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))))
(- (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (- (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (* 1/24 (+ (* -12 (/ (* (pow (+ 1 (fabs x)) 2) (pow (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) 2)) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 24 (/ (* (+ 1 (fabs x)) (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (/ (* (+ 1 (fabs x)) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))))
(- (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (- (+ (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (* (pow x 2) (- (* 1/720 (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3)))))) (* 1/720 (+ (* -720 (/ (* (pow (+ 1 (fabs x)) 2) (* (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))))) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 240 (/ (* (pow (+ 1 (fabs x)) 3) (pow (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) 3)) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))) (* 720 (/ (* (+ 1 (fabs x)) (- (* -1/16 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))) (+ (* 1/16 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))))) (+ 1 (fabs x)))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))))) (* 1/24 (+ (* -12 (/ (* (pow (+ 1 (fabs x)) 2) (pow (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) 2)) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 24 (/ (* (+ 1 (fabs x)) (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (/ (* (+ 1 (fabs x)) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))))
(- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))
(- (+ (* -2 (log (/ 1 x))) (/ (fabs x) x)) (* -1 (log (/ 1 x))))
(- (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))) (/ (fabs x) x))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (+ (* -1 (pow (- (* -1 (fabs x)) (fabs x)) 2)) (* 2 (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))) (pow x 2)))))
(- (+ (* -2 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))) (/ (fabs x) x)))) (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -6 (* (- (* -1 (fabs x)) (fabs x)) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))) (+ (* 2 (pow (- (* -1 (fabs x)) (fabs x)) 3)) (* 6 (- (* -1/2 (fabs x)) (+ (* 1/2 (- (* -1 (fabs x)) (fabs x))) (* (fabs x) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (- (* -1 (fabs x)) (fabs x)) 2)) (* 2 (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))) (pow x 2))))))
(- (* -2 (log (/ -1 x))) (* -1 (log (/ -1 x))))
(- (+ (* -2 (log (/ -1 x))) (* -1 (/ (fabs x) x))) (* -1 (log (/ -1 x))))
(- (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (- (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2))))) (* 1/2 (+ (* -1 (pow (- (* -1 (fabs x)) (fabs x)) 2)) (* 2 (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))))) x))) x))) (* -1 (log (/ -1 x))))
(- (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2))))))) (* 1/6 (+ (* -6 (* (- (* -1 (fabs x)) (fabs x)) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))) (+ (* 2 (pow (- (* -1 (fabs x)) (fabs x)) 3)) (* 6 (- (* -1/2 (fabs x)) (+ (* 1/2 (- (* -1 (fabs x)) (fabs x))) (* (fabs x) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))))))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) (* 1/2 (+ (* -1 (pow (- (* -1 (fabs x)) (fabs x)) 2)) (* 2 (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))))) x))) x))) (* -1 (log (/ -1 x))))
(* (fabs x) (- (fabs x) 1))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))
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(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x)))
(/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ (/ 1 (+ 1 (fabs x))) (/ (* (fabs x) (- (fabs x) 1)) (+ 1 (fabs x)))))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (+ (* (pow x 2) (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x))))))) (/ 1 (+ 1 (fabs x))))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ (/ 1 (+ 1 (fabs x))) (/ (* (fabs x) (- (fabs x) 1)) (+ 1 (fabs x)))))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (+ (* (pow x 2) (- (+ (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (* (pow x 2) (- (* -1/16 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))) (+ (* 1/16 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))))) (+ 1 (fabs x))))))))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x))))))) (/ 1 (+ 1 (fabs x))))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ (/ 1 (+ 1 (fabs x))) (/ (* (fabs x) (- (fabs x) 1)) (+ 1 (fabs x)))))
x
(* x (- (+ 1 (* -1 (/ (fabs x) x))) (/ (fabs x) x)))
(* x (- (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))) (+ (/ (fabs x) x) (/ (* (fabs x) (- (* -1 (fabs x)) (fabs x))) (pow x 2)))))
(* x (- (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))) (+ (* 1/2 (/ (- (* -1 (fabs x)) (fabs x)) (pow x 3))) (+ (/ (fabs x) x) (+ (/ (* (fabs x) (- (* -1 (fabs x)) (fabs x))) (pow x 2)) (/ (* (fabs x) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x))))) (pow x 3)))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (fabs x)) (fabs x)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (fabs x)) (* -1 (/ (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))) x))) (fabs x)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (fabs x)) (* -1 (/ (- (+ 1/2 (+ (* -1 (/ (- (* -1/2 (fabs x)) (+ (* 1/2 (- (* -1 (fabs x)) (fabs x))) (* (fabs x) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x))))))) x)) (pow (fabs x) 2))) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))) x))) (fabs x)) x)))))
(/ 1/2 x)
(/ (+ 1/2 (pow x 2)) x)
(/ (+ 1/2 (pow x 2)) x)
(/ (+ 1/2 (pow x 2)) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Outputs
(- (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))))
(-.f32 (log1p.f32 (fma.f32 x x (neg.f32 (fabs.f32 x)))) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(- (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))))
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(- (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (- (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (* 1/24 (+ (* -12 (/ (* (pow (+ 1 (fabs x)) 2) (pow (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) 2)) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 24 (/ (* (+ 1 (fabs x)) (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (/ (* (+ 1 (fabs x)) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))))
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(- (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (- (+ (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (* (pow x 2) (- (* 1/720 (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3)))))) (* 1/720 (+ (* -720 (/ (* (pow (+ 1 (fabs x)) 2) (* (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))))) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 240 (/ (* (pow (+ 1 (fabs x)) 3) (pow (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) 3)) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))) (* 720 (/ (* (+ 1 (fabs x)) (- (* -1/16 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))) (+ (* 1/16 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))))) (+ 1 (fabs x)))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))))) (* 1/24 (+ (* -12 (/ (* (pow (+ 1 (fabs x)) 2) (pow (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) 2)) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 24 (/ (* (+ 1 (fabs x)) (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (/ (* (+ 1 (fabs x)) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))))
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(*.f32 x (-.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)) (+.f32 (/.f32 (*.f32 x x) (*.f32 x x)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (fabs.f32 x) #s(literal -2 binary32)) (*.f32 x x)) (/.f32 (fabs.f32 x) x))))
(* x (- (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))) (+ (* 1/2 (/ (- (* -1 (fabs x)) (fabs x)) (pow x 3))) (+ (/ (fabs x) x) (+ (/ (* (fabs x) (- (* -1 (fabs x)) (fabs x))) (pow x 2)) (/ (* (fabs x) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x))))) (pow x 3)))))))
(*.f32 x (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)) (-.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (fma.f32 (fabs.f32 x) (+.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -2 binary32)) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 x x (*.f32 x x)))) (*.f32 x (*.f32 x x)))) (fma.f32 (*.f32 (fabs.f32 x) #s(literal -2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 (fabs.f32 x) x))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (fabs x)) (fabs x)) x)))))
(neg.f32 (fma.f32 (neg.f32 x) (/.f32 (*.f32 (fabs.f32 x) #s(literal -2 binary32)) x) x))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (fabs x)) (* -1 (/ (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))) x))) (fabs x)) x)))))
(neg.f32 (fma.f32 x (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 x x (*.f32 x x)))) (neg.f32 x)) (*.f32 (fabs.f32 x) #s(literal -2 binary32))) (neg.f32 x)) x))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (fabs x)) (* -1 (/ (- (+ 1/2 (+ (* -1 (/ (- (* -1/2 (fabs x)) (+ (* 1/2 (- (* -1 (fabs x)) (fabs x))) (* (fabs x) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x))))))) x)) (pow (fabs x) 2))) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))) x))) (fabs x)) x)))))
(neg.f32 (fma.f32 x (neg.f32 (/.f32 (+.f32 (/.f32 (+.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (fabs.f32 x) #s(literal -1/2 binary32)) (fma.f32 (fabs.f32 x) (+.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 x x (*.f32 x x)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (fabs.f32 x) #s(literal -2 binary32))))) x)) (fma.f32 x x (fma.f32 x x (*.f32 x x)))) (neg.f32 x)) (*.f32 (fabs.f32 x) #s(literal -2 binary32))) x)) x))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (pow x 2)) x)
(/.f32 (fma.f32 x x #s(literal 1/2 binary32)) x)
(/ (+ 1/2 (pow x 2)) x)
(/.f32 (fma.f32 x x #s(literal 1/2 binary32)) x)
(/ (+ 1/2 (pow x 2)) x)
(/.f32 (fma.f32 x x #s(literal 1/2 binary32)) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/16 binary32)) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(*.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(neg.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(*.f32 (neg.f32 x) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/16 binary32)) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(*.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(neg.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(*.f32 (neg.f32 x) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))

eval357.0ms (3.1%)

Memory
9.9MiB live, 428.2MiB allocated
Compiler

Compiled 79 014 to 7 316 computations (90.7% saved)

prune609.0ms (5.2%)

Memory
-13.2MiB live, 400.8MiB allocated
Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New1 58381 591
Fresh31114
Picked235
Done033
Total1 588251 613
Accuracy
100.0%
Counts
1 613 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.8%
(copysign.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x)
51.4%
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
50.6%
(copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
14.2%
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)) x)
8.8%
(copysign.f32 (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) x)
7.4%
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
7.4%
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
7.4%
(copysign.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32)))) x)
7.4%
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
37.4%
(copysign.f32 (-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))) x)
68.6%
(copysign.f32 (+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))) x)
7.4%
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
39.0%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
15.3%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
66.9%
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
31.4%
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
28.7%
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
31.3%
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 x (fabs.f32 x)))) x)
25.9%
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
39.0%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
37.3%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
33.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
32.8%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
19.7%
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
15.4%
(copysign.f32 (log.f32 x) x)
Compiler

Compiled 806 to 420 computations (47.9% saved)

simplify424.0ms (3.7%)

Memory
23.7MiB live, 217.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
cost-diff0
(*.f32 x x)
cost-diff0
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
cost-diff0
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
cost-diff0
(/.f32 #s(literal 1/2 binary32) x)
cost-diff0
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
cost-diff192
(log.f32 (/.f32 #s(literal 1/2 binary32) x))
cost-diff0
(/.f32 #s(literal 1/2 binary32) x)
cost-diff0
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
cost-diff96
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))
cost-diff448
(/.f32 x (/.f32 #s(literal 1/2 binary32) x))
cost-diff0
(*.f32 x (*.f32 x #s(literal 2 binary32)))
cost-diff0
(copysign.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32)))) x)
cost-diff64
(*.f32 x #s(literal 2 binary32))
cost-diff96
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32))))
cost-diff0
(+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))))))
cost-diff0
(copysign.f32 (+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))) x)
cost-diff32
(fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))
cost-diff32
(fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
Rules
4 048×accelerator-lowering-fma.f32
4 048×accelerator-lowering-fma.f64
1 800×*-lowering-*.f32
1 800×*-lowering-*.f64
1 262×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036395
166395
2102387
3153378
4267369
5480369
6799369
71475369
82616369
93510369
104404369
114747369
125158369
135572369
146181369
156728369
167106369
177368369
187528369
197542369
207556369
217572369
227576369
237576369
247747369
08019330
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(copysign (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1))))) x)
(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1)))))
(log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))
(+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))
x
(* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))
(fabs x)
(- (fabs x) (sqrt (+ (* x x) 1)))
(sqrt (+ (* x x) 1))
(+ (* x x) 1)
1
(log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1))))
(/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1)))
(+ (fabs x) (sqrt (+ (* x x) 1)))
(+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1))
(+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1)
(copysign (/ 1 (* x (* x 2))) x)
(/ 1 (* x (* x 2)))
1
(* x (* x 2))
x
(* x 2)
2
(copysign (/ 1 (/ x (/ 1/2 x))) x)
(/ 1 (/ x (/ 1/2 x)))
1
(/ x (/ 1/2 x))
x
(/ 1/2 x)
1/2
(copysign (log (/ 1/2 x)) x)
(log (/ 1/2 x))
(/ 1/2 x)
1/2
x
(copysign (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) x)
(+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x))))
(* x x)
x
(/ 1/2 (+ 1 (fabs x)))
1/2
(+ 1 (fabs x))
1
(fabs x)
(log (+ 1 (fabs x)))
Outputs
(copysign (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1))))) x)
(copysign.f32 (+.f32 (log1p.f32 (neg.f32 (*.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) #s(literal -2 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.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))))) #s(literal 1 binary32))))) x)
(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1)))))
(+.f32 (log1p.f32 (neg.f32 (*.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) #s(literal -2 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.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))))) #s(literal 1 binary32)))))
(log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))
(log1p.f32 (neg.f32 (*.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) #s(literal -2 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))
(neg.f32 (*.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) #s(literal -2 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
x
(* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))
(*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fabs x)
(fabs.f32 x)
(- (fabs x) (sqrt (+ (* x x) 1)))
(-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt (+ (* x x) 1))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(+ (* x x) 1)
(fma.f32 x x #s(literal 1 binary32))
1
#s(literal 1 binary32)
(log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1))))
(log.f32 (/.f32 (+.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))))) #s(literal 1 binary32))))
(/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1)))
(/.f32 (+.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))))) #s(literal 1 binary32)))
(+ (fabs x) (sqrt (+ (* x x) 1)))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1))
(fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))
(+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1)
(fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))
(copysign (/ 1 (* x (* x 2))) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(/ 1 (* x (* x 2)))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
1
#s(literal 1 binary32)
(* x (* x 2))
(*.f32 x (+.f32 x x))
x
(* x 2)
(+.f32 x x)
2
#s(literal 2 binary32)
(copysign (/ 1 (/ x (/ 1/2 x))) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(/ 1 (/ x (/ 1/2 x)))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
1
#s(literal 1 binary32)
(/ x (/ 1/2 x))
(*.f32 x (+.f32 x x))
x
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
1/2
#s(literal 1/2 binary32)
(copysign (log (/ 1/2 x)) x)
(copysign.f32 (neg.f32 (log.f32 (+.f32 x x))) x)
(log (/ 1/2 x))
(neg.f32 (log.f32 (+.f32 x x)))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
1/2
#s(literal 1/2 binary32)
x
(copysign (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) x)
(copysign.f32 (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x)
(+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x))))
(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))
(* x x)
(*.f32 x x)
x
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
1/2
#s(literal 1/2 binary32)
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
1
#s(literal 1 binary32)
(fabs x)
(fabs.f32 x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))

localize295.0ms (2.5%)

Memory
-3.8MiB live, 276.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log1p.f32 (fabs.f32 x))
accuracy100.0%
(fabs.f32 x)
accuracy99.9%
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
accuracy86.7%
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
accuracy100.0%
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
accuracy100.0%
(/.f32 #s(literal 1/2 binary32) x)
accuracy99.9%
(log.f32 (/.f32 #s(literal 1/2 binary32) x))
accuracy100.0%
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
accuracy100.0%
(/.f32 #s(literal 1/2 binary32) x)
accuracy99.7%
(/.f32 x (/.f32 #s(literal 1/2 binary32) x))
accuracy99.1%
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))
accuracy100.0%
(copysign.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32)))) x)
accuracy100.0%
(*.f32 x (*.f32 x #s(literal 2 binary32)))
accuracy100.0%
(*.f32 x #s(literal 2 binary32))
accuracy99.1%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32))))
accuracy86.6%
(/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))))
accuracy85.7%
(log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
accuracy82.9%
(log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))
accuracy74.8%
(-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
Samples
131.0ms83×1valid
41.0ms122×0invalid
9.0ms39×0valid
8.0ms12×2valid
Compiler

Compiled 349 to 37 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-copysign: 52.0ms (30.5% of total)
ival-div: 37.0ms (21.7% of total)
ival-sqrt: 25.0ms (14.7% of total)
ival-add: 21.0ms (12.3% of total)
ival-mult: 10.0ms (5.9% of total)
ival-log: 8.0ms (4.7% of total)
adjust: 7.0ms (4.1% of total)
ival-log1p: 6.0ms (3.5% of total)
ival-sub: 2.0ms (1.2% of total)
ival-fabs: 2.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series112.0ms (1%)

Memory
2.9MiB live, 78.0MiB allocated
Counts
24 → 288
Calls
Call 1
Inputs
#<alt (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))>
#<alt (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1))>
#<alt (copysign (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1))))) x)>
#<alt (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1)))))>
#<alt (/ 1 (* x (* x 2)))>
#<alt (* x 2)>
#<alt (copysign (/ 1 (* x (* x 2))) x)>
#<alt (* x (* x 2))>
#<alt (/ x (/ 1/2 x))>
#<alt (/ 1 (/ x (/ 1/2 x)))>
#<alt (copysign (/ 1 (/ x (/ 1/2 x))) x)>
#<alt (/ 1/2 x)>
#<alt (log (/ 1/2 x))>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) x)>
#<alt (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x))))>
#<alt (* x x)>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (- (fabs x) (sqrt (+ (* x x) 1)))>
#<alt (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1))))>
#<alt (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))>
#<alt (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1)))>
#<alt (fabs x)>
#<alt (log (+ 1 (fabs x)))>
Outputs
#<alt (* (fabs x) (- (fabs x) 1))>
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))>
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))>
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (fabs x) x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))>
#<alt (+ 1 (* (fabs x) (- (fabs x) 1)))>
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))))>
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))))>
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (fabs x) x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (pow (fabs x) 2)) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2))) x))) x))))>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))))>
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))))>
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/24 (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x)))))))))>
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#<alt (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* 240 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 3)) (pow (+ 1 (fabs x)) 3))) (+ (* 720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ 1 (fabs x)))) (* 720 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (* (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (pow (+ 1 (fabs x)) 2))))))) (* 1/24 (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))>
#<alt (log (/ 1 x))>
#<alt (- (+ (log (/ 1 x)) (/ (fabs x) x)) (* -1 (/ (fabs x) x)))>
#<alt (- (+ (log (/ 1 x)) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x))) (* -1 (/ (fabs x) x)))>
#<alt (- (+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x)))) (* -1 (/ (fabs x) x)))>
#<alt (log (/ -1 x))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (- (fabs x) (* -1 (fabs x))) x)))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) x))) (* -1 (fabs x))) x)))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))))) x))) (* -1 (fabs x))) x)))>
#<alt (log (+ 1 (* (fabs x) (- (fabs x) 1))))>
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))>
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))>
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))>
#<alt (* -2 (log (/ 1 x)))>
#<alt (+ (* -2 (log (/ 1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2)))))>
#<alt (+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))))>
#<alt (* -2 (log (/ -1 x)))>
#<alt (+ (* -2 (log (/ -1 x))) (/ (fabs x) x))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x)))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x)))>
#<alt (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))>
#<alt (+ (* (pow x 2) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))>
#<alt (+ (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))>
#<alt (+ (* (pow x 2) (- (+ (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (- (* (pow x 2) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))>
#<alt (/ 1 x)>
#<alt (/ (- (+ 1 (/ (fabs x) x)) (* -1 (/ (fabs x) x))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) (* -1 (/ (fabs x) x))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x)))))) (pow x 3))) (/ (fabs x) x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1 (/ (* (fabs x) (- (fabs x) (* -1 (fabs x)))) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (fabs x) (* -1 (fabs x))) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (fabs x) (+ (* -1 (/ (* (fabs x) (- (fabs x) (* -1 (fabs x)))) x)) (+ (* 1/2 (/ 1 x)) (/ (pow (fabs x) 2) x)))) (* -1 (fabs x))) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (fabs x) (* -1 (/ (- (+ (* -1/2 (/ (fabs x) x)) (+ (/ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) x) (/ (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x)))) x))) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) x))) (* -1 (fabs x))) x))) x))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
Calls

72 calls:

TimeVariablePointExpression
70.0ms
x
@0
(log (/ 1/2 x))
12.0ms
x
@-inf
(log (/ 1/2 x))
7.0ms
x
@inf
(+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x))))
6.0ms
x
@inf
(log (/ 1/2 x))
2.0ms
x
@0
(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1)))))

rewrite487.0ms (4.2%)

Memory
22.0MiB live, 692.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 568×/-lowering-/.f32
4 568×/-lowering-/.f64
4 494×accelerator-lowering-fma.f32
4 494×accelerator-lowering-fma.f64
4 054×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036325
1216317
21848317
08530277
Stop Event
iter limit
node limit
Counts
24 → 804
Calls
Call 1
Inputs
(+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))
(+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1))
(copysign (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1))))) x)
(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1)))))
(/ 1 (* x (* x 2)))
(* x 2)
(copysign (/ 1 (* x (* x 2))) x)
(* x (* x 2))
(/ x (/ 1/2 x))
(/ 1 (/ x (/ 1/2 x)))
(copysign (/ 1 (/ x (/ 1/2 x))) x)
(/ 1/2 x)
(log (/ 1/2 x))
(copysign (log (/ 1/2 x)) x)
(copysign (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) x)
(+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x))))
(* x x)
(/ 1/2 (+ 1 (fabs x)))
(- (fabs x) (sqrt (+ (* x x) 1)))
(log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1))))
(log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))
(/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1)))
(fabs x)
(log (+ 1 (fabs x)))
Outputs
(+.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(+.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (*.f32 x x))
(pow.f32 (/.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (*.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (-.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (*.f32 x x)))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x x (*.f32 (neg.f32 (fabs.f32 x)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)) (fma.f32 x x (*.f32 (neg.f32 (fabs.f32 x)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) #s(literal -1 binary32))
(fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 x (*.f32 x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (fabs.f32 x) (fabs.f32 x) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x))
(fma.f32 (fabs.f32 x) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)) (*.f32 x x))
(fma.f32 (fabs.f32 x) (fabs.f32 (*.f32 x #s(literal 1 binary32))) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (*.f32 x x))
(fma.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x) (*.f32 x x))
(fma.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32) (*.f32 x x))
(fma.f32 (neg.f32 x) (neg.f32 x) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
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(*.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x))) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)) (-.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (fma.f32 x x (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))))
(*.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x))))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x))))))
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))) (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)) (-.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)) (*.f32 x x)))))))
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x))) #s(literal 1 binary32))) (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)) (-.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (fma.f32 x x (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))) (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))))
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x))))) (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x))))))
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))) (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)) (-.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)) (*.f32 x x)))))))
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x))) #s(literal 1 binary32))) (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)) (-.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (*.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (fma.f32 x x (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))) (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))))
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x))))) (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x))))))
(*.f32 (/.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))) (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(*.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(fabs.f32 x)
(fabs.f32 (neg.f32 x))
(fabs.f32 (neg.f32 (neg.f32 x)))
(fabs.f32 (neg.f32 (neg.f32 (neg.f32 x))))
(fabs.f32 (-.f32 x #s(literal 0 binary32)))
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(log1p.f32 (fabs.f32 x))
(neg.f32 (log.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)) (fma.f32 x (*.f32 x x) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(+.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))))
(+.f32 (log1p.f32 (neg.f32 (*.f32 x x))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)) (fma.f32 x (*.f32 x x) #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(-.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))))
(-.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(-.f32 (log1p.f32 (neg.f32 (*.f32 x x))) (log1p.f32 (neg.f32 (fabs.f32 x))))
(-.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))))
(-.f32 (log.f32 (neg.f32 (fma.f32 x (*.f32 x x) #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)))

simplify669.0ms (5.8%)

Memory
-20.1MiB live, 1 066.2MiB allocated
Algorithm
egg-herbie
Rules
12 550×accelerator-lowering-fma.f32
12 550×accelerator-lowering-fma.f64
5 996×*-lowering-*.f32
5 996×*-lowering-*.f64
4 192×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05406921
117026532
264226324
081085876
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
(* (fabs x) (- (fabs x) 1))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))
(+ 1 (* (fabs x) (- (fabs x) 1)))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (pow (fabs x) 2)) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2))) x))) x))))
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)
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(+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* 240 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 3)) (pow (+ 1 (fabs x)) 3))) (+ (* 720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ 1 (fabs x)))) (* 720 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (* (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (pow (+ 1 (fabs x)) 2))))))) (* 1/24 (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))
(log (/ 1 x))
(- (+ (log (/ 1 x)) (/ (fabs x) x)) (* -1 (/ (fabs x) x)))
(- (+ (log (/ 1 x)) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x))) (* -1 (/ (fabs x) x)))
(- (+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x)))) (* -1 (/ (fabs x) x)))
(log (/ -1 x))
(+ (log (/ -1 x)) (* -1 (/ (- (fabs x) (* -1 (fabs x))) x)))
(+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) x))) (* -1 (fabs x))) x)))
(+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))))) x))) (* -1 (fabs x))) x)))
(log (+ 1 (* (fabs x) (- (fabs x) 1))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* -1 (/ (fabs x) x)))
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2)))))
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))))
(* -2 (log (/ -1 x)))
(+ (* -2 (log (/ -1 x))) (/ (fabs x) x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x)))
(/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))
(+ (* (pow x 2) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))
(+ (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))
(+ (* (pow x 2) (- (+ (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (- (* (pow x 2) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))
(/ 1 x)
(/ (- (+ 1 (/ (fabs x) x)) (* -1 (/ (fabs x) x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) (* -1 (/ (fabs x) x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x)))))) (pow x 3))) (/ (fabs x) x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1 (/ (* (fabs x) (- (fabs x) (* -1 (fabs x)))) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ (- (fabs x) (* -1 (fabs x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (fabs x) (+ (* -1 (/ (* (fabs x) (- (fabs x) (* -1 (fabs x)))) x)) (+ (* 1/2 (/ 1 x)) (/ (pow (fabs x) 2) x)))) (* -1 (fabs x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (fabs x) (* -1 (/ (- (+ (* -1/2 (/ (fabs x) x)) (+ (/ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) x) (/ (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x)))) x))) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) x))) (* -1 (fabs x))) x))) x))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
Outputs
(* (fabs x) (- (fabs x) 1))
(-.f32 (*.f32 x x) (fabs.f32 x))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))
(fma.f32 (*.f32 x x) (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (fabs.f32 x)))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))
(fma.f32 (*.f32 x x) (fma.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (fabs.f32 x)))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) #s(literal 1/8 binary32))) (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32))) (-.f32 (*.f32 x x) (fabs.f32 x)))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(*.f32 x (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))
(*.f32 (*.f32 x x) (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)) (/.f32 (*.f32 x x) (*.f32 x x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))
(*.f32 (*.f32 x x) (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)) (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 (*.f32 x x) (*.f32 x x)))))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))
(*.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (fabs.f32 x)) (/.f32 (*.f32 x x) x)) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))
(*.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (fabs.f32 x) x) #s(literal 1/2 binary32) (*.f32 x x)) x))) x)))
(+ 1 (* (fabs x) (- (fabs x) 1)))
(fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))))
(fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) (fma.f32 (*.f32 x x) (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))))
(+.f32 (-.f32 (*.f32 x x) (fabs.f32 x)) (fma.f32 (*.f32 x x) (fma.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))))
(fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) #s(literal 1/8 binary32))) (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32))) #s(literal 1 binary32)))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(*.f32 x (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))))
(*.f32 (*.f32 x x) (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)) (+.f32 (/.f32 (*.f32 x x) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 x x))) (+.f32 (/.f32 (*.f32 x x) (*.f32 x x)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (fabs.f32 x) x))))))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (pow (fabs x) 2)) x))) x))))
(*.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (fabs.f32 x)) (/.f32 (fma.f32 x x #s(literal 1 binary32)) x)) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2))) x))) x))))
(*.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x x (fma.f32 (/.f32 (fabs.f32 x) x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (neg.f32 x)) (fabs.f32 x)) x)))
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)
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(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))) (fma.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 x x (fabs.f32 x)) (*.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1/8 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))))) (neg.f32 (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)))))) (+.f32 (/.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(+ (* (pow x 2) (- (+ (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (- (* (pow x 2) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal 1/16 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))) (fma.f32 #s(literal -1/16 binary32) (/.f32 (fma.f32 x x (fabs.f32 x)) (*.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)))) (-.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))))) (*.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))) (fma.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 x x (fabs.f32 x)) (*.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1/8 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))))))) (neg.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))) (fma.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 x x (fabs.f32 x)) (*.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1/8 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))))))) (-.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)))))) (+.f32 (/.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ (- (+ 1 (/ (fabs x) x)) (* -1 (/ (fabs x) x))) x)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (fabs.f32 x)) x)) x)
(/ (- (+ 1 (+ (* -1 (/ (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) (* -1 (/ (fabs x) x))) x)
(/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x)))) (*.f32 x x))) (/.f32 (*.f32 #s(literal 2 binary32) (fabs.f32 x)) x)) x)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x)))))) (pow x 3))) (/ (fabs x) x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1 (/ (* (fabs x) (- (fabs x) (* -1 (fabs x)))) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))) x)
(/.f32 (-.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fabs.f32 x) (+.f32 #s(literal -1/2 binary32) (fma.f32 x x (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x))))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fabs.f32 x)))) (*.f32 x (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) (fabs.f32 x)) x)) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 x x)) #s(literal -2 binary32) (/.f32 (*.f32 x x) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) x)
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(* -1 (/ (+ 1 (* -1 (/ (- (fabs x) (* -1 (fabs x))) x))) x))
(neg.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (fabs x) (+ (* -1 (/ (* (fabs x) (- (fabs x) (* -1 (fabs x)))) x)) (+ (* 1/2 (/ 1 x)) (/ (pow (fabs x) 2) x)))) (* -1 (fabs x))) x))) x))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (-.f32 (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x))) x)) (*.f32 #s(literal 2 binary32) (fabs.f32 x))) x)) (neg.f32 x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (fabs x) (* -1 (/ (- (+ (* -1/2 (/ (fabs x) x)) (+ (/ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) x) (/ (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x)))) x))) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) x))) (* -1 (fabs x))) x))) x))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (/.f32 (-.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x) (fma.f32 (fma.f32 x x (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x)))) (/.f32 (fabs.f32 x) x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (fabs.f32 x)) x)))) (fma.f32 x x (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x))))) x))) x)) (neg.f32 x))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))

eval157.0ms (1.4%)

Memory
7.4MiB live, 406.0MiB allocated
Compiler

Compiled 57 501 to 4 479 computations (92.2% saved)

prune185.0ms (1.6%)

Memory
5.1MiB live, 291.1MiB allocated
Pruning

26 alts after pruning (17 fresh and 9 done)

PrunedKeptTotal
New1 28131 284
Fresh01414
Picked235
Done066
Total1 283261 309
Accuracy
100.0%
Counts
1 309 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.8%
(copysign.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x)
45.9%
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 (log1p.f32 (neg.f32 (*.f32 x x))) (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
51.4%
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
50.6%
(copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
14.2%
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)) x)
8.8%
(copysign.f32 (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) x)
7.4%
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
12.0%
(copysign.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
7.4%
(copysign.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32)))) x)
7.4%
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
61.9%
(copysign.f32 (-.f32 (log.f32 (*.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (log1p.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)))) x)
37.4%
(copysign.f32 (-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))) x)
7.4%
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
39.0%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
15.3%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
66.9%
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
31.4%
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
28.7%
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
31.3%
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 x (fabs.f32 x)))) x)
25.9%
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
39.0%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
37.3%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
33.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
32.8%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
19.7%
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
15.4%
(copysign.f32 (log.f32 x) x)
Compiler

Compiled 1 141 to 426 computations (62.7% saved)

regimes23.0ms (0.2%)

Memory
-20.7MiB live, 56.1MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32)))) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) x)
(copysign.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 x (fabs.f32 x)))) x)
(copysign.f32 (+.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
(copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 (log1p.f32 (neg.f32 (*.f32 x x))) (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (-.f32 (log.f32 (*.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (log1p.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)))) x)
(copysign.f32 (+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (neg.f32 (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (-.f32 (/.f32 (pow.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) #s(literal 2 binary32)) (-.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (/.f32 x (fabs.f32 x)))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (/.f32 x (fabs.f32 x))))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
Calls

2 calls:

11.0ms
x
10.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
99.0%3x
99.0%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory
7.5MiB live, 43.1MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32)))) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) x)
(copysign.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 x (fabs.f32 x)))) x)
(copysign.f32 (+.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
(copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 (log1p.f32 (neg.f32 (*.f32 x x))) (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
Calls

2 calls:

11.0ms
x
7.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
98.6%3x
98.6%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory
-6.8MiB live, 37.2MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32)))) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) x)
(copysign.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 x (fabs.f32 x)))) x)
(copysign.f32 (+.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
Calls

2 calls:

11.0ms
x
7.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
98.1%3x
98.1%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
33.6MiB live, 33.6MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32)))) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) x)
(copysign.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 x (fabs.f32 x)))) x)
(copysign.f32 (+.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
Calls

2 calls:

6.0ms
x
6.0ms
(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 15 to 10 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
-10.9MiB live, 28.2MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32)))) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) x)
(copysign.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
Outputs
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
Calls

2 calls:

6.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
5.0ms
x
Results
AccuracySegmentsBranch
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 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-15.2MiB live, 23.7MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32)))) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) x)
(copysign.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
Outputs
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
Calls

2 calls:

5.0ms
x
4.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
95.3%3x
95.3%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
21.2MiB live, 21.2MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32)))) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) x)
(copysign.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
Outputs
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
Calls

2 calls:

4.0ms
x
4.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
82.6%2x
82.6%2(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-18.0MiB live, 18.3MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32)))) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) x)
(copysign.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
Outputs
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
Calls

2 calls:

4.0ms
x
3.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
66.9%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
66.9%1x
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32)))) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) x)
(copysign.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 x) x)
Outputs
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 x) x)
Calls

2 calls:

3.0ms
x
3.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
21.9%2(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
22.1%2x
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32)))) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) x)
(copysign.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)) x)
Outputs
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)) x)
Calls

2 calls:

3.0ms
x
3.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
14.2%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
14.2%1x
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
-27.2MiB live, 13.6MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32)))) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) x)
(copysign.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
Outputs
(copysign.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
Calls

2 calls:

5.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
3.0ms
x
Results
AccuracySegmentsBranch
12.0%1x
12.0%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32)))) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) x)
Outputs
(copysign.f32 (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) x)
Calls

2 calls:

2.0ms
x
2.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
8.8%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
8.8%1x
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32)))) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
Outputs
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
Calls

2 calls:

2.0ms
x
2.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
7.4%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
7.4%1x
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0%)

Memory
-31.0MiB live, 8.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32)))) x)
Outputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
Calls

2 calls:

2.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
2.0ms
x
Results
AccuracySegmentsBranch
7.4%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
7.4%1x
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4489186108112335
3.1305387020111084
0.0ms
-7.113597869873047
-0.7776058316230774
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4489186108112335
3.1305387020111084
0.0ms
-7.113597869873047
-0.7776058316230774
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4489186108112335
3.1305387020111084
0.0ms
-7.113597869873047
-0.7776058316230774
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4489186108112335
3.1305387020111084
0.0ms
-0.6381444931030273
-0.42174914479255676
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4489186108112335
3.1305387020111084
0.0ms
-7.113597869873047
-0.7776058316230774
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4489186108112335
3.1305387020111084
0.0ms
-7.113597869873047
-0.7776058316230774
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.4641495645046234
11.421305656433105
Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
-5.749275365401146e-39
4.835822145849442e-39
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify13.0ms (0.1%)

Memory
27.1MiB live, 27.1MiB allocated
Algorithm
egg-herbie
Rules
22×+-commutative_binary32
16×*-commutative_binary32
sub-neg_binary32
neg-sub0_binary32
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097504
1118504
2121504
3123504
4124504
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 -5 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 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 1/2 binary32)) (copysign.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (/.f32 #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 -5 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 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 1/2 binary32)) (copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (/.f32 #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 -5 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 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 1/2 binary32)) (copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1/2 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 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 1/2 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (/.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 -5 binary32)) (copysign.f32 (log.f32 (-.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 1/2 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (/.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 -5 binary32)) (copysign.f32 (log.f32 (-.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 1/2 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)))
(if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x))
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(if (<=.f32 x #s(literal -3568119/713623846352979940529142984724747568191373312 binary32)) (copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)) x) (copysign.f32 (log.f32 x) x))
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
Outputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -5 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 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 1/2 binary32)) (copysign.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (/.f32 #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 -5 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 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 1/2 binary32)) (copysign.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (/.f32 #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 -5 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 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 1/2 binary32)) (copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (/.f32 #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 -5 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 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 1/2 binary32)) (copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (/.f32 #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 -5 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 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 1/2 binary32)) (copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (/.f32 #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 -5 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 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 1/2 binary32)) (copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1/2 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 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 1/2 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (/.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 -5 binary32)) (copysign.f32 (log.f32 (-.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 1/2 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (/.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 -5 binary32)) (copysign.f32 (log.f32 (-.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 1/2 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.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 -5 binary32)) (copysign.f32 (log.f32 (-.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 1/2 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)))
(if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x))
(if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x))
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(if (<=.f32 x #s(literal -3568119/713623846352979940529142984724747568191373312 binary32)) (copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)) x) (copysign.f32 (log.f32 x) x))
(copysign.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)

soundness1.8s (15.8%)

Memory
11.0MiB live, 1 075.3MiB allocated
Rules
24 610×accelerator-lowering-fma.f32
24 610×accelerator-lowering-fma.f64
12 550×accelerator-lowering-fma.f32
12 550×accelerator-lowering-fma.f64
9 834×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033358
1204356
21949326
08721285
0169758
1490730
21511717
35413667
08421611
05406921
117026532
264226324
081085876
06725626
121155196
276635189
081794823
06907269
121796857
277976849
080626222
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 731 to 248 computations (66.1% saved)

preprocess205.0ms (1.8%)

Memory
-13.6MiB live, 180.7MiB allocated
Compiler

Compiled 1 078 to 230 computations (78.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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