Rust f32::asinh

Time bar (total: 9.6s)

analyze0.0ms (0%)

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 3 computations (25% saved)

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

sample515.0ms (5.4%)

Results
417.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 197.0ms
ival-asinh: 187.0ms (95% of total)
const: 7.0ms (3.6% of total)
backward-pass: 3.0ms (1.5% of total)
Bogosity

preprocess13.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
059
1119
2159
3189
4309
5379
6469
7529
0911
1159
2169
3179
0179
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
Outputs
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
Call 2
Inputs
(asinh x)
(asinh (neg x))
(neg (asinh (neg x)))
Outputs
(asinh x)
(asinh (neg x))
(neg (asinh (neg x)))

explain171.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1290-1(0.011840413324534893)(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
680-0-(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
00-0-x
00-0-(fabs.f32 x)
00-0-(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
00-0-(+.f32 (*.f32 x x) #s(literal 1 binary32))
00-0-(*.f32 x x)
00-0-(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
00-0-#s(literal 1 binary32)
Results
56.0ms144×1valid
49.0ms368×0valid
Compiler

Compiled 115 to 29 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-log: 12.0ms (24.2% of total)
ival-add: 10.0ms (20.1% of total)
ival-fabs: 6.0ms (12.1% of total)
ival-copysign: 5.0ms (10.1% of total)
ival-mult: 5.0ms (10.1% of total)
ival-sqrt: 5.0ms (10.1% of total)
backward-pass: 5.0ms (10.1% of total)
const: 1.0ms (2% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
59.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
35.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify5.0ms (0%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fabs.f32 x)
cost-diff0
(+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
cost-diff0
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
cost-diff96
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
cost-diff96
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
cost-diff96
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
cost-diff96
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Rules
+-lowering-+.f64
+-lowering-+.f32
+-commutative
hypot-1-def
sqrt-lowering-sqrt.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01564
12264
02264
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
(copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x)
(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
(fabs x)
x
(sqrt (+ (* 1 1) (* x x)))
1
Outputs
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
(+ (fabs x) (sqrt (+ (* x x) 1)))
(+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
(fabs x)
(fabs.f32 x)
x
(sqrt (+ (* x x) 1))
(hypot.f32 #s(literal 1 binary32) x)
(+ (* x x) 1)
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(* x x)
(*.f32 x x)
1
#s(literal 1 binary32)
(copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
(+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
(fabs x)
(fabs.f32 x)
x
(sqrt (+ (* 1 1) (* x x)))
(hypot.f32 #s(literal 1 binary32) x)
1
#s(literal 1 binary32)

localize207.0ms (2.2%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
accuracy100.0%
(fabs.f32 x)
accuracy99.9%
(+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
accuracy88.4%
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
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))))
accuracy88.4%
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy77.1%
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
Results
126.0ms83×5exit
58.0ms173×0valid
Compiler

Compiled 80 to 14 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
backward-pass: 42.0ms (42.6% of total)
ival-log: 16.0ms (16.2% of total)
compiled-spec: 11.0ms (11.2% of total)
ival-add: 8.0ms (8.1% of total)
ival-mult: 7.0ms (7.1% of total)
ival-sqrt: 6.0ms (6.1% of total)
ival-copysign: 6.0ms (6.1% of total)
ival-fabs: 3.0ms (3% of total)
const: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
9 → 108
Calls
Call 1
Inputs
#<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))>
#<alt (copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x)>
#<alt (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))>
#<alt (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))>
#<alt (fabs x)>
#<alt (+ (* x x) 1)>
Outputs
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
#<alt 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)))))>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<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))))>
Calls

27 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
(sqrt (+ (* x x) 1))
0.0ms
x
@-inf
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
0.0ms
x
@inf
(sqrt (+ (* x x) 1))

rewrite308.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
2410×*-lowering-*.f32
2410×*-lowering-*.f64
1896×/-lowering-/.f32
1896×/-lowering-/.f64
1588×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553
17453
246453
3569253
0854253
Stop Event
iter limit
node limit
Counts
9 → 324
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)))
(sqrt (+ (* x x) 1))
(copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x)
(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
(fabs x)
(+ (* x x) 1)
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))
(+.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) (log.f32 (*.f32 (-.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))
(+.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) (log.f32 (/.f32 (-.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))
(+.f32 #s(literal 0 binary32) (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 (+.f32 (pow.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 3/2 binary32)) (*.f32 x (*.f32 x x)))) (neg.f32 (log1p.f32 (+.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))))
(+.f32 (log1p.f32 (+.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) (log.f32 (*.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))))
(+.f32 (log1p.f32 (+.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (+.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))))
(+.f32 (log.f32 (-.f32 (*.f32 x x) (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (neg.f32 (log.f32 (-.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))
(+.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 3/2 binary32)) (*.f32 x (*.f32 x x))))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))))
(+.f32 (log.f32 (neg.f32 (-.f32 (*.f32 x x) (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))
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(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal -1 binary32)))))))
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (+.f32 (*.f32 x x) #s(literal -1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 x x) #s(literal -1 binary32))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))))) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal -1 binary32))))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 3 binary32))) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32))) #s(literal 3 binary32))) (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal -1 binary32)))) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32)))) (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32)))))))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32))))) (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32)))))
(/.f32 (*.f32 (hypot.f32 #s(literal 1 binary32) x) (hypot.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal -1 binary32))))) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (hypot.f32 #s(literal 1 binary32) x) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1/2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (hypot.f32 #s(literal 1 binary32) x) (pow.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (hypot.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (hypot.f32 #s(literal 1 binary32) x)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal -1 binary32))))) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1/2 binary32)) (hypot.f32 #s(literal 1 binary32) x)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (pow.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (hypot.f32 #s(literal 1 binary32) x)) (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal -1 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) (+.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal -1 binary32)))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal -1 binary32))))))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal -1 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))))
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal -1 binary32))))))) (+.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32)))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))
(/.f32 (/.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32))) (+.f32 x #s(literal -1 binary32)))
(sqrt.f32 (*.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (hypot.f32 #s(literal 1 binary32) x) (hypot.f32 #s(literal 1 binary32) x))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal -1 binary32)))))))
(*.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32)))))
(*.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (/.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (+.f32 (*.f32 x x) #s(literal -1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32))))
(*.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal -1 binary32))))))))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal -1 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))))
(*.f32 (pow.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 1/4 binary32)) (hypot.f32 #s(literal 1 binary32) x)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal -1 binary32)))))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) (+.f32 x #s(literal 1 binary32)))
(*.f32 (*.f32 (hypot.f32 #s(literal 1 binary32) x) (pow.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 1/4 binary32))) (pow.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32))) (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal -1 binary32)))) (*.f32 (*.f32 x x) (*.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal -1 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal -1 binary32)))) (-.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal -1 binary32)))) #s(literal 1 binary32)))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal -1 binary32)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal -1 binary32))))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal -1 binary32))))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal -1 binary32))))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal -1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal 1 binary32))))))
(*.f32 (/.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (+.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal 1 binary32))))))

simplify246.0ms (2.6%)

Algorithm
egg-herbie
Rules
4466×*-lowering-*.f32
4466×*-lowering-*.f64
2106×sum3-define
1806×fma-lowering-fma.f32
1806×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01691315
15171085
217661053
367531053
080591053
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
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)))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
1
(+ 1 (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))))
Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(+ (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)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))
(+ (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)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x (*.f32 x (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 (*.f32 x x) #s(literal 1/720 binary32)))))))))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (log.f32 x) (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)))))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(+.f32 (log.f32 x) (+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32))) (+.f32 (/.f32 (fabs.f32 x) x) (*.f32 (*.f32 (fabs.f32 x) (+.f32 #s(literal -3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x)))) (/.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 x x)))))))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 (*.f32 (fabs.f32 x) (+.f32 #s(literal -3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x)))) (/.f32 #s(literal 1/6 binary32) x)) (+.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) x)) x))
(+ 1 (fabs x))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))
x
(* x (+ 1 (/ (fabs x) x)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(*.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(*.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 (/.f32 (*.f32 x (fabs.f32 x)) x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.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)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(*.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(*.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(*.f32 x (+.f32 #s(literal -1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal -1 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 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(+ (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)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))
(+ (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)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x (*.f32 x (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 (*.f32 x x) #s(literal 1/720 binary32)))))))))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (log.f32 x) (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)))))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(+.f32 (log.f32 x) (+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32))) (+.f32 (/.f32 (fabs.f32 x) x) (*.f32 (*.f32 (fabs.f32 x) (+.f32 #s(literal -3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x)))) (/.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 x x)))))))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 (*.f32 (fabs.f32 x) (+.f32 #s(literal -3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x)))) (/.f32 #s(literal 1/6 binary32) x)) (+.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) x)) x))
(+ 1 (fabs x))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))
x
(* x (+ 1 (/ (fabs x) x)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(*.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(*.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 (/.f32 (*.f32 x (fabs.f32 x)) x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
1
#s(literal 1 binary32)
(+ 1 (pow x 2))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(+ 1 (pow x 2))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(+ 1 (pow x 2))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))

eval73.0ms (0.8%)

Compiler

Compiled 13259 to 1528 computations (88.5% saved)

prune103.0ms (1.1%)

Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New42820448
Fresh000
Picked022
Done000
Total42822450
Accuracy
99.6%
Counts
450 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.0%
(copysign.f32 (-.f32 (log.f32 (+.f32 (pow.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 3/2 binary32)) (*.f32 x (*.f32 x x)))) (log1p.f32 (+.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) x)
15.9%
(copysign.f32 (-.f32 (log.f32 (neg.f32 (-.f32 (*.f32 x x) (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) x)
13.7%
(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (log.f32 x) (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32))))) x)
55.9%
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
55.4%
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x (*.f32 x (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 (*.f32 x x) #s(literal 1/720 binary32))))))))) x)
55.3%
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) x)
14.5%
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
59.8%
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) x)
13.3%
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
69.3%
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
14.6%
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
12.5%
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
59.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
16.8%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))))) x)
19.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) x)
35.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
29.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
27.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
31.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
28.7%
(copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x)
13.3%
(copysign.f32 (log.f32 (neg.f32 x)) x)
13.6%
(copysign.f32 (log.f32 x) x)
Compiler

Compiled 763 to 458 computations (40% saved)

simplify219.0ms (2.3%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fabs.f32 x)
cost-diff0
(+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))))
cost-diff64
(log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))))
cost-diff64
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))))) x)
cost-diff128
(/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x)
cost-diff128
(-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)
cost-diff128
(log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x))
cost-diff128
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) 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-diff0
(fabs.f32 x)
cost-diff0
(log1p.f32 (fabs.f32 x))
cost-diff0
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
Rules
2370×*-lowering-*.f32
2370×*-lowering-*.f64
1996×+-lowering-+.f64
1996×+-lowering-+.f32
1720×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032242
171211
2220200
3552197
41252197
52339197
65048197
08189197
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(copysign (log (+ 1 (fabs x))) x)
(log (+ 1 (fabs x)))
(fabs x)
x
(copysign (log x) x)
(log x)
x
(copysign (log (+ (fabs x) x)) x)
(log (+ (fabs x) x))
(+ (fabs x) x)
(fabs x)
x
(copysign (log (- (/ (* (+ (fabs x) (/ -1/2 x)) x) x) x)) x)
(log (- (/ (* (+ (fabs x) (/ -1/2 x)) x) x) x))
(- (/ (* (+ (fabs x) (/ -1/2 x)) x) x) x)
(/ (* (+ (fabs x) (/ -1/2 x)) x) x)
(* (+ (fabs x) (/ -1/2 x)) x)
(+ (fabs x) (/ -1/2 x))
(fabs x)
x
(/ -1/2 x)
-1/2
(copysign (log (+ (fabs x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))))) x)
(log (+ (fabs x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))))
(+ (fabs x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))))
(fabs x)
x
(+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))
1
(* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))
(* x x)
(+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))
1/2
(* (* x x) (+ -1/8 (* (* x x) 1/16)))
(+ -1/8 (* (* x x) 1/16))
-1/8
(* (* x x) 1/16)
1/16
Outputs
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(fabs x)
(fabs.f32 x)
x
(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 x (fabs.f32 x))) x)
(log (+ (fabs x) x))
(log.f32 (+.f32 x (fabs.f32 x)))
(+ (fabs x) x)
(+.f32 x (fabs.f32 x))
(fabs x)
(fabs.f32 x)
x
(copysign (log (- (/ (* (+ (fabs x) (/ -1/2 x)) x) x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) x)
(log (- (/ (* (+ (fabs x) (/ -1/2 x)) x) x) x))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(- (/ (* (+ (fabs x) (/ -1/2 x)) x) x) x)
(+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(/ (* (+ (fabs x) (/ -1/2 x)) x) x)
(+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x))
(* (+ (fabs x) (/ -1/2 x)) x)
(+.f32 (*.f32 x (fabs.f32 x)) #s(literal -1/2 binary32))
(+ (fabs x) (/ -1/2 x))
(+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) 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 (log (+ (fabs x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))))) x)
(log (+ (fabs x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))))
(log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))))
(+ (fabs x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))))
(+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))))
(fabs x)
(fabs.f32 x)
x
(+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))))
1
#s(literal 1 binary32)
(* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))
(* x x)
(*.f32 x x)
(+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))
1/2
#s(literal 1/2 binary32)
(* (* x x) (+ -1/8 (* (* x x) 1/16)))
(*.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))
(+ -1/8 (* (* x x) 1/16))
(+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))
-1/8
#s(literal -1/8 binary32)
(* (* x x) 1/16)
(*.f32 (*.f32 x x) #s(literal 1/16 binary32))
1/16
#s(literal 1/16 binary32)

localize205.0ms (2.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f32 (*.f32 x x) #s(literal 1/16 binary32))
accuracy100.0%
(*.f32 x x)
accuracy100.0%
(log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))))
accuracy100.0%
(fabs.f32 x)
accuracy100.0%
(+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x))
accuracy100.0%
(*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)
accuracy100.0%
(log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) 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%
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
accuracy100.0%
(log1p.f32 (fabs.f32 x))
accuracy100.0%
(fabs.f32 x)
Results
150.0ms256×0invalid
Compiler

Compiled 262 to 32 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-log: 34.0ms (42% of total)
ival-copysign: 13.0ms (16.1% of total)
ival-add: 10.0ms (12.4% of total)
ival-mult: 9.0ms (11.1% of total)
compiled-spec: 6.0ms (7.4% of total)
ival-div: 4.0ms (4.9% of total)
ival-fabs: 2.0ms (2.5% of total)
ival-sub: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series147.0ms (1.5%)

Counts
19 → 228
Calls
Call 1
Inputs
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (fabs x)>
#<alt (copysign (log x) x)>
#<alt (log x)>
#<alt (copysign (log (+ (fabs x) x)) x)>
#<alt (log (+ (fabs x) x))>
#<alt (+ (fabs x) x)>
#<alt (copysign (log (- (/ (* (+ (fabs x) (/ -1/2 x)) x) x) x)) x)>
#<alt (log (- (/ (* (+ (fabs x) (/ -1/2 x)) x) x) x))>
#<alt (- (/ (* (+ (fabs x) (/ -1/2 x)) x) x) x)>
#<alt (/ (* (+ (fabs x) (/ -1/2 x)) x) x)>
#<alt (copysign (log (+ (fabs x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))))) x)>
#<alt (log (+ (fabs x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))))>
#<alt (+ (fabs x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))))>
#<alt (* (+ (fabs x) (/ -1/2 x)) x)>
#<alt (+ (fabs x) (/ -1/2 x))>
#<alt (* x x)>
#<alt (* (* x x) 1/16)>
Outputs
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (log (fabs x))>
#<alt (+ (log (fabs x)) (/ x (fabs x)))>
#<alt (+ (log (fabs x)) (* x (+ (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))>
#<alt (+ (log (fabs x)) (* x (+ (* x (- (* 1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow x 3))) (/ (fabs x) x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/3 (/ (pow (fabs x) 3) x))) x))) x))))>
#<alt (fabs x)>
#<alt (+ x (fabs x))>
#<alt (+ x (fabs x))>
#<alt (+ x (fabs x))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -2 (* x (fabs x))) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2)))))))))>
#<alt (+ (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))))))))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (+ (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)))))))>
#<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 (/ -1/2 x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)>
#<alt (/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)>
#<alt (* -1 x)>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))>
#<alt (* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))>
#<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) (* 1/2 (/ 1 x))) x)))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (fabs x)>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (fabs x)>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log 1/16) (* -6 (log (/ 1 x))))>
#<alt (- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))>
#<alt (+ (log 1/16) (* -6 (log (/ -1 x))))>
#<alt (- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))>
#<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 (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (fabs x) (pow x 6))))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (fabs x) (pow x 6))))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt -1/2>
#<alt (- (* x (fabs x)) 1/2)>
#<alt (- (* x (fabs x)) 1/2)>
#<alt (- (* x (fabs x)) 1/2)>
#<alt (* x (fabs x))>
#<alt (* x (- (fabs x) (* 1/2 (/ 1 x))))>
#<alt (* x (- (fabs x) (* 1/2 (/ 1 x))))>
#<alt (* x (- (fabs x) (* 1/2 (/ 1 x))))>
#<alt (* x (fabs x))>
#<alt (* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (fabs x)>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (fabs x)>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
Calls

57 calls:

TimeVariablePointExpression
48.0ms
x
@0
(log x)
28.0ms
x
@0
(log (+ 1 (fabs x)))
23.0ms
x
@inf
(log (+ 1 (fabs x)))
18.0ms
x
@-inf
(log x)
14.0ms
x
@-inf
(log (+ 1 (fabs x)))

rewrite499.0ms (5.2%)

Algorithm
batch-egg-rewrite
Rules
2886×*-lowering-*.f32
2886×*-lowering-*.f64
2652×/-lowering-/.f32
2652×/-lowering-/.f64
2062×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032163
1175143
21739139
08229139
Stop Event
iter limit
node limit
Counts
19 → 387
Calls
Call 1
Inputs
(copysign (log (+ 1 (fabs x))) x)
(log (+ 1 (fabs x)))
(fabs x)
(copysign (log x) x)
(log x)
(copysign (log (+ (fabs x) x)) x)
(log (+ (fabs x) x))
(+ (fabs x) x)
(copysign (log (- (/ (* (+ (fabs x) (/ -1/2 x)) x) x) x)) x)
(log (- (/ (* (+ (fabs x) (/ -1/2 x)) x) x) x))
(- (/ (* (+ (fabs x) (/ -1/2 x)) x) x) x)
(/ (* (+ (fabs x) (/ -1/2 x)) x) x)
(copysign (log (+ (fabs x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))))) x)
(log (+ (fabs x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))))
(+ (fabs x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))))
(* (+ (fabs x) (/ -1/2 x)) x)
(+ (fabs x) (/ -1/2 x))
(* x x)
(* (* x x) 1/16)
Outputs
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) x)
(log1p.f32 (fabs.f32 x))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))))
(neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
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(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 2 binary32)))
(fabs.f32 (*.f32 x x))
(fabs.f32 (neg.f32 (*.f32 x x)))
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(*.f32 x x)
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(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
(*.f32 (exp.f32 (log.f32 x)) (exp.f32 (log.f32 x)))
(*.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)))
(*.f32 x (*.f32 x #s(literal 1/16 binary32)))
(*.f32 (*.f32 x x) #s(literal 1/16 binary32))
(*.f32 #s(literal 1/16 binary32) (*.f32 x x))
(*.f32 (*.f32 x #s(literal 1/16 binary32)) x)

simplify332.0ms (3.5%)

Algorithm
egg-herbie
Rules
4548×+-lowering-+.f64
4548×+-lowering-+.f32
3460×*-lowering-*.f32
3460×*-lowering-*.f64
1548×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03072015
19281803
232631721
084261721
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs 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)) (/ 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)))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow x 3))) (/ (fabs x) x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/3 (/ (pow (fabs x) 3) x))) x))) x))))
(fabs x)
(+ x (fabs x))
(+ x (fabs x))
(+ x (fabs x))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (/ (fabs x) x)))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(copysign (log (- (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 x)
(/ (- (* x (fabs x)) 1/2) x)
(/ (- (* x (fabs x)) 1/2) x)
(/ (- (* x (fabs x)) 1/2) x)
(fabs x)
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(fabs x)
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log 1/16) (* -6 (log (/ 1 x))))
(- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(+ (log 1/16) (* -6 (log (/ -1 x))))
(- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (fabs x) (pow x 6))))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (fabs x) (pow x 6))))) (* 1/8 (/ 1 (pow x 2)))))
-1/2
(- (* x (fabs x)) 1/2)
(- (* x (fabs x)) 1/2)
(- (* x (fabs x)) 1/2)
(* x (fabs x))
(* x (- (fabs x) (* 1/2 (/ 1 x))))
(* x (- (fabs x) (* 1/2 (/ 1 x))))
(* x (- (fabs x) (* 1/2 (/ 1 x))))
(* x (fabs x))
(* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))
(/ -1/2 x)
(/ (- (* x (fabs x)) 1/2) x)
(/ (- (* x (fabs x)) 1/2) x)
(/ (- (* x (fabs x)) 1/2) x)
(fabs x)
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(fabs x)
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
Outputs
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(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)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 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))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(log (fabs x))
(log.f32 (fabs.f32 x))
(+ (log (fabs x)) (/ x (fabs x)))
(+.f32 (log.f32 (fabs.f32 x)) (/.f32 x (fabs.f32 x)))
(+ (log (fabs x)) (* x (+ (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))
(+.f32 (log.f32 (fabs.f32 x)) (*.f32 x (+.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(+ (log (fabs x)) (* x (+ (* x (- (* 1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))
(+.f32 (+.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) x)) (fabs.f32 x)))) (+.f32 (log.f32 (fabs.f32 x)) (/.f32 x (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 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))
(+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (log.f32 x) #s(literal -1/2 binary32)))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow x 3))) (/ (fabs x) x))))
(+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (+.f32 (log.f32 x) #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (fabs.f32 x)) x) #s(literal 1 binary32))))
(+ (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)))
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (fabs.f32 x) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))
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(+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32)))))))
(* 1/16 (pow x 6))
(*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (fabs x) (pow x 6))))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (fabs.f32 x) (pow.f32 x #s(literal 6 binary32))))))
(* 1/16 (pow x 6))
(*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (fabs x) (pow x 6))))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (fabs.f32 x) (pow.f32 x #s(literal 6 binary32))))))
-1/2
#s(literal -1/2 binary32)
(- (* x (fabs x)) 1/2)
(+.f32 #s(literal -1/2 binary32) (*.f32 x (fabs.f32 x)))
(- (* x (fabs x)) 1/2)
(+.f32 #s(literal -1/2 binary32) (*.f32 x (fabs.f32 x)))
(- (* x (fabs x)) 1/2)
(+.f32 #s(literal -1/2 binary32) (*.f32 x (fabs.f32 x)))
(* x (fabs x))
(*.f32 x (fabs.f32 x))
(* x (- (fabs x) (* 1/2 (/ 1 x))))
(+.f32 #s(literal -1/2 binary32) (*.f32 x (fabs.f32 x)))
(* x (- (fabs x) (* 1/2 (/ 1 x))))
(+.f32 #s(literal -1/2 binary32) (*.f32 x (fabs.f32 x)))
(* x (- (fabs x) (* 1/2 (/ 1 x))))
(+.f32 #s(literal -1/2 binary32) (*.f32 x (fabs.f32 x)))
(* x (fabs x))
(*.f32 x (fabs.f32 x))
(* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))
(+.f32 #s(literal -1/2 binary32) (*.f32 x (fabs.f32 x)))
(* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))
(+.f32 #s(literal -1/2 binary32) (*.f32 x (fabs.f32 x)))
(* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))
(+.f32 #s(literal -1/2 binary32) (*.f32 x (fabs.f32 x)))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (* x (fabs x)) 1/2) x)
(+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x))
(/ (- (* x (fabs x)) 1/2) x)
(+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x))
(/ (- (* x (fabs x)) 1/2) x)
(+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x))
(fabs x)
(fabs.f32 x)
(- (fabs x) (* 1/2 (/ 1 x)))
(+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x))
(- (fabs x) (* 1/2 (/ 1 x)))
(+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x))
(- (fabs x) (* 1/2 (/ 1 x)))
(+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x))
(fabs x)
(fabs.f32 x)
(- (fabs x) (* 1/2 (/ 1 x)))
(+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x))
(- (fabs x) (* 1/2 (/ 1 x)))
(+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x))
(- (fabs x) (* 1/2 (/ 1 x)))
(+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) 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)
(pow x 2)
(*.f32 x x)
(* 1/16 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/16 binary32))

eval93.0ms (1%)

Compiler

Compiled 46530 to 2747 computations (94.1% saved)

prune137.0ms (1.4%)

Pruning

34 alts after pruning (29 fresh and 5 done)

PrunedKeptTotal
New72620746
Fresh6915
Picked235
Done022
Total73434768
Accuracy
99.7%
Counts
768 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.0%
(copysign.f32 (-.f32 (log.f32 (+.f32 (pow.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 3/2 binary32)) (*.f32 x (*.f32 x x)))) (log1p.f32 (+.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) x)
15.9%
(copysign.f32 (-.f32 (log.f32 (neg.f32 (-.f32 (*.f32 x x) (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) x)
15.2%
(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (+.f32 (log.f32 x) #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (fabs.f32 x)) x) #s(literal 1 binary32)))) x)
14.8%
(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (log.f32 x) #s(literal -1/2 binary32))) x)
55.9%
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
55.4%
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x (*.f32 x (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 (*.f32 x x) #s(literal 1/720 binary32))))))))) x)
14.5%
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
8.5%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
8.6%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) x)
59.8%
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) x)
56.0%
(copysign.f32 (log1p.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (fabs.f32 x))) x)
69.3%
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
10.9%
(copysign.f32 (log.f32 (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (*.f32 x x)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
10.6%
(copysign.f32 (log.f32 (/.f32 (+.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))))))) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (-.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) #s(literal 1/2 binary32)))) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (-.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) #s(literal 1/2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))))) x)
8.6%
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) x)
26.1%
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
3.1%
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (-.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x)) x)
3.1%
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) x) (*.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))) x)) x)) x)
3.3%
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32)))))) x)) x)
3.3%
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x) x) x)) x)
28.1%
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)
3.1%
(copysign.f32 (log.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) x) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32)))))) (/.f32 #s(literal 1 binary32) x)) x)) x)
29.0%
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
11.3%
(copysign.f32 (log.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))))) x)
11.4%
(copysign.f32 (log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))))))) x)
16.9%
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))))))) #s(literal 1 binary32))) x)
12.5%
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
59.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
35.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
27.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
19.8%
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))))) x)
28.7%
(copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x)
13.3%
(copysign.f32 (log.f32 (neg.f32 x)) x)
13.6%
(copysign.f32 (log.f32 x) x)
Compiler

Compiled 2552 to 1012 computations (60.3% saved)

simplify232.0ms (2.4%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff1152
(+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (*.f32 x x)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))) #s(literal 1 binary32)))
cost-diff2112
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (*.f32 x x)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
cost-diff2112
(log.f32 (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (*.f32 x x)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
cost-diff2112
(copysign.f32 (log.f32 (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (*.f32 x x)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
cost-diff0
(+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x))
cost-diff0
(-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)
cost-diff0
(log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x))
cost-diff0
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)
cost-diff576
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))
cost-diff576
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))
cost-diff576
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))))
cost-diff576
(copysign.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) x)
cost-diff0
(neg.f32 x)
cost-diff0
(log.f32 (neg.f32 x))
cost-diff0
(copysign.f32 (log.f32 (neg.f32 x)) x)
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
cost-diff32
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))
cost-diff96
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))
cost-diff96
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) x)
Rules
4382×*-lowering-*.f32
4382×*-lowering-*.f64
2062×+-lowering-+.f64
2062×+-lowering-+.f32
1888×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0591166
11761020
2610894
32854829
08349829
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))))) x)
(neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))))
(log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))))
(/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
1
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
(fabs x)
x
(sqrt (+ (* 1 1) (* x x)))
(copysign (log (neg x)) x)
(log (neg x))
(neg x)
x
(copysign (neg (log (/ (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))) (+ 1 (* x (* x x)))))) x)
(neg (log (/ (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))) (+ 1 (* x (* x x))))))
(log (/ (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))) (+ 1 (* x (* x x)))))
(/ (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))) (+ 1 (* x (* x x))))
(+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x))))))
1
(/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))
(- (* (* x x) (* (* x x) (* x x))) (* x (* x x)))
(* (* x x) (* (* x x) (* x x)))
(* x x)
x
(* (* x x) (* x x))
(* x (* x x))
(+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x))))
(+ (* x x) (* x (* x x)))
(+ 1 (* x (* x x)))
(copysign (log (- (+ (fabs x) (/ -1/2 x)) x)) x)
(log (- (+ (fabs x) (/ -1/2 x)) x))
(- (+ (fabs x) (/ -1/2 x)) x)
(+ (fabs x) (/ -1/2 x))
(fabs x)
x
(/ -1/2 x)
-1/2
(copysign (log (/ (+ (* (* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x)) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) 1)) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))))) x)
(log (/ (+ (* (* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x)) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) 1)) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x))))))
(/ (+ (* (* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x)) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) 1)) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))))
(+ (* (* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x)) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) 1))
(* (* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x)) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x))))
(* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x))
(- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16)))))))
1/4
(* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))
x
(* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16)))))
(* x (+ -1/8 (* x (* x 1/16))))
(+ -1/8 (* x (* x 1/16)))
-1/8
(* x (* x 1/16))
(* x 1/16)
1/16
(* (* x x) (+ -1/8 (* x (* x 1/16))))
(* x x)
(/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))
(/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x))))))))
(- 1 (* x x))
1
(/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))
(+ 1 (* x (* x x)))
(* x (* x x))
(+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x))))))
(/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))
(- (* (* x x) (* (* x x) (* x x))) (* x (* x x)))
(* (* x x) (* (* x x) (* x x)))
(* (* x x) (* x x))
(+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x))))
(+ (* x x) (* x (* x x)))
(* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) 1)
(- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))
1/2
(* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x))))
Outputs
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))))
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
(log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))))
(neg.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))
(/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
1
#s(literal 1 binary32)
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
(+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
(fabs x)
(fabs.f32 x)
x
(sqrt (+ (* 1 1) (* x x)))
(hypot.f32 #s(literal 1 binary32) x)
(copysign (log (neg x)) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(log (neg x))
(log.f32 (neg.f32 x))
(neg x)
(neg.f32 x)
x
(copysign (neg (log (/ (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))) (+ 1 (* x (* x x)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) x)
(neg (log (/ (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))) (+ 1 (* x (* x x))))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))))
(log (/ (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))) (+ 1 (* x (* x x)))))
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))
(/ (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))) (+ 1 (* x (* x x))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))
(+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x))))))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32))))
1
#s(literal 1 binary32)
(/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))
(*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))
(- (* (* x x) (* (* x x) (* x x))) (* x (* x x)))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))
(* (* x x) (* (* x x) (* x x)))
(*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))
(* x x)
(*.f32 x x)
x
(* (* x x) (* x x))
(*.f32 x (*.f32 x (*.f32 x x)))
(* x (* x x))
(*.f32 x (*.f32 x x))
(+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))
(+ (* x x) (* x (* x x)))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))
(+ 1 (* x (* x x)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))
(copysign (log (- (+ (fabs x) (/ -1/2 x)) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) x)
(log (- (+ (fabs x) (/ -1/2 x)) x))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(- (+ (fabs x) (/ -1/2 x)) x)
(+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(+ (fabs x) (/ -1/2 x))
(+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) 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 (log (/ (+ (* (* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x)) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) 1)) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (-.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32))))))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (-.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))))))) x)
(log (/ (+ (* (* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x)) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) 1)) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x))))))
(log.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (-.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32))))))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (-.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32))))))))
(/ (+ (* (* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x)) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) 1)) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))))
(/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (-.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32))))))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (-.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))))))
(+ (* (* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x)) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) 1))
(+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (-.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))))))))
(* (* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x)) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x))))
(*.f32 x (/.f32 (*.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (-.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))
(* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (-.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))))
(- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16)))))))
(+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (-.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))
1/4
#s(literal 1/4 binary32)
(* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))
(*.f32 x (*.f32 x (*.f32 (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))
x
(* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16)))))
(*.f32 x (*.f32 (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))
(* x (+ -1/8 (* x (* x 1/16))))
(*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))
(+ -1/8 (* x (* x 1/16)))
(+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))
-1/8
#s(literal -1/8 binary32)
(* x (* x 1/16))
(*.f32 (*.f32 x x) #s(literal 1/16 binary32))
(* x 1/16)
(*.f32 x #s(literal 1/16 binary32))
1/16
#s(literal 1/16 binary32)
(* (* x x) (+ -1/8 (* x (* x 1/16))))
(*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))
(* x x)
(*.f32 x x)
(/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))
(/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x))))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))
(- 1 (* x x))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
1
#s(literal 1 binary32)
(/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))))
(+ 1 (* x (* x x)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))
(* x (* x x))
(*.f32 x (*.f32 x x))
(+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x))))))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32))))
(/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))
(*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))
(- (* (* x x) (* (* x x) (* x x))) (* x (* x x)))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))
(* (* x x) (* (* x x) (* x x)))
(*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))
(* (* x x) (* x x))
(*.f32 x (*.f32 x (*.f32 x x)))
(+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))
(+ (* x x) (* x (* x x)))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))
(* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) 1)
(+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (-.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))
(- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (-.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))
1/2
#s(literal 1/2 binary32)
(* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x))))
(/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (-.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32))))))

localize596.0ms (6.2%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)))
accuracy99.9%
(*.f32 x (*.f32 x x))
accuracy99.7%
(/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))
accuracy95.7%
(log.f32 (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (*.f32 x x)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
accuracy100.0%
(fabs.f32 x)
accuracy100.0%
(+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x))
accuracy100.0%
(log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x))
accuracy100.0%
(-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)
accuracy99.9%
(*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)))
accuracy99.9%
(*.f32 x (*.f32 x x))
accuracy99.7%
(/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))
accuracy95.5%
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))
accuracy100.0%
(copysign.f32 (log.f32 (neg.f32 x)) x)
accuracy100.0%
(neg.f32 x)
accuracy100.0%
(log.f32 (neg.f32 x))
accuracy100.0%
(fabs.f32 x)
accuracy100.0%
(+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
accuracy95.7%
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))
Results
224.0ms36×5exit
165.0ms201×0invalid
42.0ms19×0valid
Compiler

Compiled 1706 to 58 computations (96.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 192.0ms
backward-pass: 45.0ms (23.5% of total)
ival-add: 40.0ms (20.9% of total)
ival-mult: 30.0ms (15.7% of total)
ival-log: 20.0ms (10.4% of total)
ival-div: 17.0ms (8.9% of total)
ival-copysign: 12.0ms (6.3% of total)
compiled-spec: 10.0ms (5.2% of total)
ival-sub: 8.0ms (4.2% of total)
ival-neg: 4.0ms (2.1% of total)
ival-sqrt: 2.0ms (1% of total)
ival-fabs: 2.0ms (1% of total)
const: 1.0ms (0.5% of total)

series47.0ms (0.5%)

Counts
24 → 288
Calls
Call 1
Inputs
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))))) x)>
#<alt (neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))))>
#<alt (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))))>
#<alt (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))>
#<alt (copysign (log (neg x)) x)>
#<alt (log (neg x))>
#<alt (neg x)>
#<alt (copysign (neg (log (/ (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))) (+ 1 (* x (* x x)))))) x)>
#<alt (neg (log (/ (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))) (+ 1 (* x (* x x))))))>
#<alt (log (/ (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))) (+ 1 (* x (* x x)))))>
#<alt (/ (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))) (+ 1 (* x (* x x))))>
#<alt (copysign (log (- (+ (fabs x) (/ -1/2 x)) x)) x)>
#<alt (log (- (+ (fabs x) (/ -1/2 x)) x))>
#<alt (- (+ (fabs x) (/ -1/2 x)) x)>
#<alt (+ (fabs x) (/ -1/2 x))>
#<alt (copysign (log (/ (+ (* (* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x)) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) 1)) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))))) x)>
#<alt (log (/ (+ (* (* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x)) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) 1)) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x))))))>
#<alt (/ (+ (* (* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x)) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) 1)) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))))>
#<alt (+ (* (* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x)) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) 1))>
#<alt (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))>
#<alt (fabs x)>
#<alt (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))>
#<alt (* x (* x x))>
#<alt (* (* x x) (* (* x x) (* x x)))>
Outputs
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (* -1 (log (/ 1 (+ 1 (fabs x)))))>
#<alt (- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x)))))>
#<alt (- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))>
#<alt (- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (- (/ (fabs x) x) (log (/ 1 x)))>
#<alt (- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x))))>
#<alt (- (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (/ (fabs x) x)) (log (/ -1 x)))>
#<alt (- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))>
#<alt (log (/ 1 (+ 1 (fabs x))))>
#<alt (+ (log (/ 1 (+ 1 (fabs x)))) (* -1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* 1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* (pow x 2) (+ (* 1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (log (/ 1 x))>
#<alt (+ (log (/ 1 x)) (* -1 (/ (fabs x) x)))>
#<alt (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2)))))>
#<alt (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (log (/ -1 x))>
#<alt (+ (log (/ -1 x)) (/ (fabs x) x))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (/ 1 (+ 1 (fabs x)))>
#<alt (+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x))))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ (fabs x) x))) x)>
#<alt (/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x)>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ (fabs x) x)) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x))>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (copysign (neg (log (/ (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (+ 1 (pow x 3))))) x)>
#<alt (copysign (neg (log (/ (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (+ 1 (pow x 3))))) x)>
#<alt (copysign (neg (log (/ (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (+ 1 (pow x 3))))) x)>
#<alt (copysign (neg (log (/ (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (+ 1 (pow x 3))))) x)>
#<alt (copysign (neg (log (/ (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (+ 1 (pow x 3))))) x)>
#<alt (copysign (neg (log (/ (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (+ 1 (pow x 3))))) x)>
#<alt (copysign (neg (log (/ (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (+ 1 (pow x 3))))) x)>
#<alt (copysign (neg (log (/ (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (+ 1 (pow x 3))))) x)>
#<alt (copysign (neg (log (/ (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- 1 (* -1 (pow x 3)))))) x)>
#<alt (copysign (neg (log (/ (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- 1 (* -1 (pow x 3)))))) x)>
#<alt (copysign (neg (log (/ (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- 1 (* -1 (pow x 3)))))) x)>
#<alt (copysign (neg (log (/ (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- 1 (* -1 (pow x 3)))))) x)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (- (/ 1 x) (log (/ 1 x)))>
#<alt (- (/ 1 x) (+ (log (/ 1 x)) (/ 1/2 (pow x 2))))>
#<alt (- (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) (+ (log (/ 1 x)) (/ 1/2 (pow x 2))))>
#<alt (* -1 (+ (log -1) (log (/ -1 x))))>
#<alt (- (/ 1 x) (+ (log -1) (log (/ -1 x))))>
#<alt (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) (+ (log -1) (log (/ -1 x))))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (+ (log -1) (log (/ -1 x))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/3 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/4 x) 1/3)))) 1))>
#<alt (log (/ 1 x))>
#<alt (- (log (/ 1 x)) (/ 1 x))>
#<alt (- (+ (log (/ 1 x)) (/ 1/2 (pow x 2))) (/ 1 x))>
#<alt (- (+ (log (/ 1 x)) (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))>
#<alt (+ (log -1) (log (/ -1 x)))>
#<alt (- (+ (log -1) (log (/ -1 x))) (/ 1 x))>
#<alt (+ (log -1) (+ (log (/ -1 x)) (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))))>
#<alt (+ (log -1) (+ (log (/ -1 x)) (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -2 (* x (fabs x))) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2)))))))))>
#<alt (+ (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))))))))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (+ (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)))))))>
#<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 (/ -1/2 x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)>
#<alt (/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)>
#<alt (* -1 x)>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))>
#<alt (* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))>
#<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) (* 1/2 (/ 1 x))) x)))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (fabs x)>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (fabs x)>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (copysign (log (/ (* (+ 1 (pow x 3)) (- (+ 1/2 (/ (* (pow x 2) (* (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) (+ 1 (pow x 3)))) (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (* (- 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))))) x)>
#<alt (copysign (log (/ (* (+ 1 (pow x 3)) (- (+ 1/2 (/ (* (pow x 2) (* (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) (+ 1 (pow x 3)))) (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (* (- 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))))) x)>
#<alt (copysign (log (/ (* (+ 1 (pow x 3)) (- (+ 1/2 (/ (* (pow x 2) (* (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) (+ 1 (pow x 3)))) (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (* (- 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))))) x)>
#<alt (copysign (log (/ (* (+ 1 (pow x 3)) (- (+ 1/2 (/ (* (pow x 2) (* (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) (+ 1 (pow x 3)))) (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (* (- 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))))) x)>
#<alt (copysign (log (/ (* (+ 1 (pow x 3)) (- (+ 1/2 (+ (* 1/8 (pow x 2)) (/ (* (pow x 2) (* (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) (+ 1 (pow x 3))))) (* 1/16 (pow x 4)))) (* (- (+ 1/2 (* 1/8 (pow x 2))) (* 1/16 (pow x 4))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))))) x)>
#<alt (copysign (log (/ (* (+ 1 (pow x 3)) (- (+ 1/2 (+ (* 1/8 (pow x 2)) (/ (* (pow x 2) (* (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) (+ 1 (pow x 3))))) (* 1/16 (pow x 4)))) (* (- (+ 1/2 (* 1/8 (pow x 2))) (* 1/16 (pow x 4))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))))) x)>
#<alt (copysign (log (/ (* (+ 1 (pow x 3)) (- (+ 1/2 (+ (* 1/8 (pow x 2)) (/ (* (pow x 2) (* (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) (+ 1 (pow x 3))))) (* 1/16 (pow x 4)))) (* (- (+ 1/2 (* 1/8 (pow x 2))) (* 1/16 (pow x 4))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))))) x)>
#<alt (copysign (log (/ (* (+ 1 (pow x 3)) (- (+ 1/2 (+ (* 1/8 (pow x 2)) (/ (* (pow x 2) (* (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) (+ 1 (pow x 3))))) (* 1/16 (pow x 4)))) (* (- (+ 1/2 (* 1/8 (pow x 2))) (* 1/16 (pow x 4))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))))) x)>
#<alt (copysign (log (/ (* (- 1 (* -1 (pow x 3))) (- (+ 1/2 (+ (* 1/8 (pow x 2)) (/ (* (pow x 2) (* (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))))) (- 1 (* -1 (pow x 3)))))) (* 1/16 (pow x 4)))) (* (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- (+ 1/2 (* 1/8 (pow x 2))) (* 1/16 (pow x 4)))))) x)>
#<alt (copysign (log (/ (* (- 1 (* -1 (pow x 3))) (- (+ 1/2 (+ (* 1/8 (pow x 2)) (/ (* (pow x 2) (* (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))))) (- 1 (* -1 (pow x 3)))))) (* 1/16 (pow x 4)))) (* (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- (+ 1/2 (* 1/8 (pow x 2))) (* 1/16 (pow x 4)))))) x)>
#<alt (copysign (log (/ (* (- 1 (* -1 (pow x 3))) (- (+ 1/2 (+ (* 1/8 (pow x 2)) (/ (* (pow x 2) (* (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))))) (- 1 (* -1 (pow x 3)))))) (* 1/16 (pow x 4)))) (* (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- (+ 1/2 (* 1/8 (pow x 2))) (* 1/16 (pow x 4)))))) x)>
#<alt (copysign (log (/ (* (- 1 (* -1 (pow x 3))) (- (+ 1/2 (+ (* 1/8 (pow x 2)) (/ (* (pow x 2) (* (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))))) (- 1 (* -1 (pow x 3)))))) (* 1/16 (pow x 4)))) (* (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- (+ 1/2 (* 1/8 (pow x 2))) (* 1/16 (pow x 4)))))) x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 1/16) (* -6 (log (/ 1 x))))>
#<alt (- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 16 (/ 1 (pow x 5))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))>
#<alt (+ (log 1/16) (* -6 (log (/ -1 x))))>
#<alt (- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 16 (/ 1 (pow x 5))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 3/8 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 3/8 (* -1/4 x))))>
#<alt (+ 1/2 (* (pow x 2) (+ 3/8 (* x (- (* 3/16 x) 1/4)))))>
#<alt (* -1/256 (pow x 9))>
#<alt (* (pow x 9) (- (* 1/256 (/ 1 x)) 1/256))>
#<alt (* (pow x 9) (- (+ (/ 3/256 (pow x 2)) (* 1/256 (/ 1 x))) 1/256))>
#<alt (* (pow x 9) (- (+ (/ 3/256 (pow x 2)) (* 1/256 (/ 1 x))) (+ 1/256 (* 3/256 (/ 1 (pow x 3))))))>
#<alt (* -1/256 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- 1/256 (* 1/256 (/ 1 x)))))>
#<alt (* -1 (* (pow x 9) (+ 1/256 (* -1 (/ (+ 1/256 (* 3/256 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 9) (+ 1/256 (* -1 (/ (+ 1/256 (* -1 (/ (- (* 3/256 (/ 1 x)) 3/256) x))) x)))))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (* -1 x)>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
Calls

72 calls:

TimeVariablePointExpression
10.0ms
x
@0
(log (neg x))
8.0ms
x
@inf
(log (neg x))
4.0ms
x
@-inf
(copysign (log (/ (+ (* (* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x)) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) 1)) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))))) x)
2.0ms
x
@0
(neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))))
2.0ms
x
@-inf
(neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))))

rewrite379.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
2642×*-lowering-*.f32
2642×*-lowering-*.f64
1772×/-lowering-/.f32
1772×/-lowering-/.f64
1592×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059672
1400587
24092561
08026561
Stop Event
iter limit
node limit
Counts
24 → 403
Calls
Call 1
Inputs
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))))) x)
(neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))))
(log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))))
(/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
(copysign (log (neg x)) x)
(log (neg x))
(neg x)
(copysign (neg (log (/ (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))) (+ 1 (* x (* x x)))))) x)
(neg (log (/ (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))) (+ 1 (* x (* x x))))))
(log (/ (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))) (+ 1 (* x (* x x)))))
(/ (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))) (+ 1 (* x (* x x))))
(copysign (log (- (+ (fabs x) (/ -1/2 x)) x)) x)
(log (- (+ (fabs x) (/ -1/2 x)) x))
(- (+ (fabs x) (/ -1/2 x)) x)
(+ (fabs x) (/ -1/2 x))
(copysign (log (/ (+ (* (* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x)) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) 1)) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))))) x)
(log (/ (+ (* (* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x)) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) 1)) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x))))))
(/ (+ (* (* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x)) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) 1)) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))))
(+ (* (* (- 1/4 (* x (* (* x (+ -1/8 (* x (* x 1/16)))) (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (* x x)) (/ (/ (- 1 (* x x)) (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) (- 1 (* x x)))) (* (- 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))) 1))
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
(fabs x)
(/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))
(* x (* x x))
(* (* x x) (* (* x x) (* x x)))
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))
(neg.f32 (log.f32 (/.f32 (+.f32 (*.f32 x x) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 3/2 binary32))))))
(neg.f32 (log.f32 (/.f32 (-.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (*.f32 x x))))))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32))))
(+.f32 #s(literal 0 binary32) (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) #s(literal 0 binary32))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))
(+.f32 (log.f32 (+.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 3/2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))))
(+.f32 (log.f32 (-.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (*.f32 x x)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 (*.f32 x x) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))) (+.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 3/2 binary32))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (*.f32 x x))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32))))
(-.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) #s(literal 0 binary32))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))
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(-.f32 (log.f32 (+.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 3/2 binary32)))) (log.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))
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(*.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (+.f32 (*.f32 (*.f32 x (*.f32 (+.f32 #s(literal 1 binary32) x) x)) (*.f32 (*.f32 x (*.f32 (+.f32 #s(literal 1 binary32) x) x)) (*.f32 x (*.f32 (+.f32 #s(literal 1 binary32) x) x)))) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))))) (+.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x (*.f32 (+.f32 #s(literal 1 binary32) x) x)) (-.f32 (*.f32 x (*.f32 (+.f32 #s(literal 1 binary32) x) x)) (*.f32 x (*.f32 x (*.f32 x x)))))))
(*.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))) (*.f32 (*.f32 x x) (-.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))))) (*.f32 (*.f32 x x) (-.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))))
(exp.f32 (*.f32 (log.f32 x) #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))
(*.f32 x (*.f32 x x))
(*.f32 (*.f32 x x) x)
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32))
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) x) (*.f32 x x))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 x) #s(literal 6 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 3 binary32) (log.f32 x)) #s(literal 2 binary32)))
(pow.f32 x #s(literal 6 binary32))
(pow.f32 (*.f32 x x) #s(literal 3 binary32))
(pow.f32 (*.f32 x (*.f32 x x)) #s(literal 2 binary32))
(*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))
(*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x))
(*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) x)
(*.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))

simplify583.0ms (6.1%)

Algorithm
egg-herbie
Rules
3908×*-lowering-*.f32
3908×*-lowering-*.f64
3270×+-lowering-+.f64
3270×+-lowering-+.f32
1544×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06385198
120704517
272144509
080614509
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
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(- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x)))))
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(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
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(copysign (log (* -1 x)) x)
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(copysign (neg (log (/ (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (+ 1 (pow x 3))))) x)
(copysign (neg (log (/ (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (+ 1 (pow x 3))))) x)
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(copysign (neg (log (/ (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- 1 (* -1 (pow x 3)))))) x)
x
(* x (+ 1 (* -1/2 x)))
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1
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(copysign (log (/ (* (+ 1 (pow x 3)) (- (+ 1/2 (/ (* (pow x 2) (* (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) (+ 1 (pow x 3)))) (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (* (- 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))))) x)
(copysign (log (/ (* (+ 1 (pow x 3)) (- (+ 1/2 (/ (* (pow x 2) (* (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) (+ 1 (pow x 3)))) (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (* (- 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))))) x)
(copysign (log (/ (* (+ 1 (pow x 3)) (- (+ 1/2 (/ (* (pow x 2) (* (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) (+ 1 (pow x 3)))) (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (* (- 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))))) x)
(copysign (log (/ (* (+ 1 (pow x 3)) (- (+ 1/2 (+ (* 1/8 (pow x 2)) (/ (* (pow x 2) (* (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) (+ 1 (pow x 3))))) (* 1/16 (pow x 4)))) (* (- (+ 1/2 (* 1/8 (pow x 2))) (* 1/16 (pow x 4))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))))) x)
(copysign (log (/ (* (+ 1 (pow x 3)) (- (+ 1/2 (+ (* 1/8 (pow x 2)) (/ (* (pow x 2) (* (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) (+ 1 (pow x 3))))) (* 1/16 (pow x 4)))) (* (- (+ 1/2 (* 1/8 (pow x 2))) (* 1/16 (pow x 4))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))))) x)
(copysign (log (/ (* (+ 1 (pow x 3)) (- (+ 1/2 (+ (* 1/8 (pow x 2)) (/ (* (pow x 2) (* (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) (+ 1 (pow x 3))))) (* 1/16 (pow x 4)))) (* (- (+ 1/2 (* 1/8 (pow x 2))) (* 1/16 (pow x 4))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))))) x)
(copysign (log (/ (* (+ 1 (pow x 3)) (- (+ 1/2 (+ (* 1/8 (pow x 2)) (/ (* (pow x 2) (* (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) (+ 1 (pow x 3))))) (* 1/16 (pow x 4)))) (* (- (+ 1/2 (* 1/8 (pow x 2))) (* 1/16 (pow x 4))) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))))) x)
(copysign (log (/ (* (- 1 (* -1 (pow x 3))) (- (+ 1/2 (+ (* 1/8 (pow x 2)) (/ (* (pow x 2) (* (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))))) (- 1 (* -1 (pow x 3)))))) (* 1/16 (pow x 4)))) (* (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- (+ 1/2 (* 1/8 (pow x 2))) (* 1/16 (pow x 4)))))) x)
(copysign (log (/ (* (- 1 (* -1 (pow x 3))) (- (+ 1/2 (+ (* 1/8 (pow x 2)) (/ (* (pow x 2) (* (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))))) (- 1 (* -1 (pow x 3)))))) (* 1/16 (pow x 4)))) (* (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- (+ 1/2 (* 1/8 (pow x 2))) (* 1/16 (pow x 4)))))) x)
(copysign (log (/ (* (- 1 (* -1 (pow x 3))) (- (+ 1/2 (+ (* 1/8 (pow x 2)) (/ (* (pow x 2) (* (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))))) (- 1 (* -1 (pow x 3)))))) (* 1/16 (pow x 4)))) (* (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- (+ 1/2 (* 1/8 (pow x 2))) (* 1/16 (pow x 4)))))) x)
(copysign (log (/ (* (- 1 (* -1 (pow x 3))) (- (+ 1/2 (+ (* 1/8 (pow x 2)) (/ (* (pow x 2) (* (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- 1/4 (* (pow x 4) (pow (- (* 1/16 (pow x 2)) 1/8) 2))))) (- 1 (* -1 (pow x 3)))))) (* 1/16 (pow x 4)))) (* (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))) (- (+ 1/2 (* 1/8 (pow x 2))) (* 1/16 (pow x 4)))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 1/16) (* -6 (log (/ 1 x))))
(- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 16 (/ 1 (pow x 5))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(+ (log 1/16) (* -6 (log (/ -1 x))))
(- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 16 (/ 1 (pow x 5))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 3/8 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 3/8 (* -1/4 x))))
(+ 1/2 (* (pow x 2) (+ 3/8 (* x (- (* 3/16 x) 1/4)))))
(* -1/256 (pow x 9))
(* (pow x 9) (- (* 1/256 (/ 1 x)) 1/256))
(* (pow x 9) (- (+ (/ 3/256 (pow x 2)) (* 1/256 (/ 1 x))) 1/256))
(* (pow x 9) (- (+ (/ 3/256 (pow x 2)) (* 1/256 (/ 1 x))) (+ 1/256 (* 3/256 (/ 1 (pow x 3))))))
(* -1/256 (pow x 9))
(* -1 (* (pow x 9) (- 1/256 (* 1/256 (/ 1 x)))))
(* -1 (* (pow x 9) (+ 1/256 (* -1 (/ (+ 1/256 (* 3/256 (/ 1 x))) x)))))
(* -1 (* (pow x 9) (+ 1/256 (* -1 (/ (+ 1/256 (* -1 (/ (- (* 3/256 (/ 1 x)) 3/256) x))) x)))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
Outputs
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(* -1 (log (/ 1 (+ 1 (fabs x)))))
(log1p.f32 (fabs.f32 x))
(- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x)))))
(+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(+.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32)))) (+.f32 #s(literal 24 binary32) (*.f32 (fabs.f32 x) #s(literal 24 binary32)))) (/.f32 #s(literal -3 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))
(- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(+.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 (*.f32 x x) (+.f32 (*.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/16 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))) (+.f32 #s(literal -720 binary32) (*.f32 #s(literal -720 binary32) (fabs.f32 x)))) (+.f32 (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 90 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32)))) (/.f32 #s(literal -30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))))) (*.f32 (*.f32 x x) #s(literal -1/720 binary32))) (*.f32 #s(literal -1/24 binary32) (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32)))) (+.f32 #s(literal 24 binary32) (*.f32 (fabs.f32 x) #s(literal 24 binary32)))) (/.f32 #s(literal -3 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))))))) (log1p.f32 (fabs.f32 x)))
(* -1 (log (/ 1 x)))
(log.f32 x)
(- (/ (fabs x) x) (log (/ 1 x)))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x))))
(+.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 x x))) (*.f32 x x)) (log.f32 x)) (*.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(- (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))
(-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -2 binary32))) (*.f32 #s(literal -6 binary32) (+.f32 (*.f32 (fabs.f32 x) (-.f32 #s(literal 1/2 binary32) (*.f32 x x))) (-.f32 (*.f32 (fabs.f32 x) #s(literal -1/2 binary32)) (*.f32 (fabs.f32 x) (-.f32 #s(literal 1/2 binary32) (*.f32 x x)))))))) (*.f32 x (*.f32 x x))) (-.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 x x)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 (fabs.f32 x) x)) (log.f32 x)))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (* -1 (/ (fabs x) x)) (log (/ -1 x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(-.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -2 binary32))) (*.f32 #s(literal -6 binary32) (+.f32 (*.f32 (fabs.f32 x) (-.f32 #s(literal 1/2 binary32) (*.f32 x x))) (-.f32 (*.f32 (fabs.f32 x) #s(literal -1/2 binary32)) (*.f32 (fabs.f32 x) (-.f32 #s(literal 1/2 binary32) (*.f32 x x))))))) #s(literal 1/6 binary32)) x) (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 x x)))) x) (fabs.f32 x))) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(log (/ 1 (+ 1 (fabs x))))
(neg.f32 (log1p.f32 (fabs.f32 x)))
(+ (log (/ 1 (+ 1 (fabs x)))) (* -1/2 (/ (pow x 2) (+ 1 (fabs x)))))
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(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 6)
(pow.f32 x #s(literal 6 binary32))
(pow x 6)
(pow.f32 x #s(literal 6 binary32))
(pow x 6)
(pow.f32 x #s(literal 6 binary32))
(pow x 6)
(pow.f32 x #s(literal 6 binary32))
(pow x 6)
(pow.f32 x #s(literal 6 binary32))
(pow x 6)
(pow.f32 x #s(literal 6 binary32))
(pow x 6)
(pow.f32 x #s(literal 6 binary32))
(pow x 6)
(pow.f32 x #s(literal 6 binary32))
(pow x 6)
(pow.f32 x #s(literal 6 binary32))
(pow x 6)
(pow.f32 x #s(literal 6 binary32))
(pow x 6)
(pow.f32 x #s(literal 6 binary32))
(pow x 6)
(pow.f32 x #s(literal 6 binary32))

eval142.0ms (1.5%)

Compiler

Compiled 93581 to 3811 computations (95.9% saved)

prune132.0ms (1.4%)

Pruning

29 alts after pruning (22 fresh and 7 done)

PrunedKeptTotal
New101191020
Fresh111324
Picked235
Done145
Total1025291054
Accuracy
99.7%
Counts
1054 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.9%
(copysign.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 (-.f32 (hypot.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
55.0%
(copysign.f32 (-.f32 (log.f32 (+.f32 (pow.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 3/2 binary32)) (*.f32 x (*.f32 x x)))) (log1p.f32 (+.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) x)
15.2%
(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (+.f32 (log.f32 x) #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (fabs.f32 x)) x) #s(literal 1 binary32)))) x)
14.8%
(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (log.f32 x) #s(literal -1/2 binary32))) x)
55.9%
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
14.5%
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
55.4%
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
55.1%
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
55.3%
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 3/40 binary32))))))) x)
25.3%
(copysign.f32 (neg.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 3/2 binary32))))) (log.f32 (+.f32 (*.f32 x x) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))) x)
59.8%
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) x)
56.0%
(copysign.f32 (log1p.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (fabs.f32 x))) x)
26.1%
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
3.1%
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (-.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x)) x)
3.1%
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) x) (*.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))) x)) x)) x)
3.3%
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32)))))) x)) x)
3.3%
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x) x) x)) x)
28.1%
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)
3.1%
(copysign.f32 (log.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) x) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32)))))) (/.f32 #s(literal 1 binary32) x)) x)) x)
29.0%
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
59.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
35.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
27.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
20.9%
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
28.7%
(copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x)
27.8%
(copysign.f32 (log.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) #s(literal 1 binary32)))) x)
13.3%
(copysign.f32 (log.f32 (neg.f32 x)) x)
13.6%
(copysign.f32 (log.f32 x) x)
55.7%
(copysign.f32 x x)
Compiler

Compiled 1149 to 621 computations (46% saved)

simplify158.0ms (1.7%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f32 x)
cost-diff160
(*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))
cost-diff160
(log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x))))
cost-diff160
(copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x)
cost-diff192
(/.f32 (*.f32 (-.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32)))))))
cost-diff192
(-.f32 (/.f32 (*.f32 (-.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x)
cost-diff192
(log.f32 (-.f32 (/.f32 (*.f32 (-.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x))
cost-diff192
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (-.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x)) x)
cost-diff0
(/.f32 #s(literal -1/2 binary32) x)
cost-diff0
(log.f32 (/.f32 #s(literal -1/2 binary32) x))
cost-diff0
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
cost-diff0
(copysign.f32 x x)
cost-diff0
(*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))))))
cost-diff0
(+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (fabs.f32 x))
cost-diff0
(log1p.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (fabs.f32 x)))
cost-diff0
(copysign.f32 (log1p.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (fabs.f32 x))) x)
Rules
2216×*-lowering-*.f32
2216×*-lowering-*.f64
1860×sum4-define
1692×sum5-define
1510×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
051538
1137518
2379502
31183491
44193479
08417479
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(copysign (log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (fabs x)))) x)
(log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (fabs x))))
(+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (fabs x))
(* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))
x
(* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))
(+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))
1/2
(* (* x x) (+ -1/8 (* x (* x 1/16))))
(* x x)
(+ -1/8 (* x (* x 1/16)))
-1/8
(* x (* x 1/16))
(* x 1/16)
1/16
(fabs x)
(copysign x x)
x
(copysign (log (/ -1/2 x)) x)
(log (/ -1/2 x))
(/ -1/2 x)
-1/2
x
(copysign (log (- (/ (* (- (* x x) (/ 1/4 (* x x))) 1) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x)) x)
(log (- (/ (* (- (* x x) (/ 1/4 (* x x))) 1) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x))
(- (/ (* (- (* x x) (/ 1/4 (* x x))) 1) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x)
(/ (* (- (* x x) (/ 1/4 (* x x))) 1) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2))))))
(* (- (* x x) (/ 1/4 (* x x))) 1)
(- (* x x) (/ 1/4 (* x x)))
(* x x)
x
(/ 1/4 (* x x))
1/4
1
(/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))
(- (* x (* x x)) (/ -1/8 (* x (* x x))))
(* x (* x x))
(/ -1/8 (* x (* x x)))
-1/8
(+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2))))
(/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))
(+ (* 1/4 (/ x -1/2)) (* x (* x x)))
(* 1/4 (/ x -1/2))
(/ x -1/2)
-1/2
(* (* x x) (/ x -1/2))
(copysign (log (* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)))) x)
(log (* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x))))
(* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)))
(neg x)
x
(- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x))
1
(/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)
(- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x))
(fabs x)
(/ (+ 1/2 (/ -1/8 (* x x))) x)
(+ 1/2 (/ -1/8 (* x x)))
1/2
(/ -1/8 (* x x))
-1/8
(* x x)
Outputs
(copysign (log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (fabs x)))) x)
(copysign.f32 (log1p.f32 (+.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x))) x)
(log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (fabs x))))
(log1p.f32 (+.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)))
(+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (fabs x))
(+.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x))
(* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))
x
(* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))
(*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))
(+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))
1/2
#s(literal 1/2 binary32)
(* (* x x) (+ -1/8 (* x (* x 1/16))))
(*.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))
(* x x)
(*.f32 x x)
(+ -1/8 (* x (* x 1/16)))
(+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))
-1/8
#s(literal -1/8 binary32)
(* x (* x 1/16))
(*.f32 (*.f32 x x) #s(literal 1/16 binary32))
(* x 1/16)
(*.f32 x #s(literal 1/16 binary32))
1/16
#s(literal 1/16 binary32)
(fabs x)
(fabs.f32 x)
(copysign x x)
(copysign.f32 x x)
x
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(log (/ -1/2 x))
(log.f32 (/.f32 #s(literal -1/2 binary32) x))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
-1/2
#s(literal -1/2 binary32)
x
(copysign (log (- (/ (* (- (* x x) (/ 1/4 (* x x))) 1) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x)) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1/8 binary32) x) (*.f32 x x))) (+.f32 (*.f32 x x) (/.f32 (*.f32 x (+.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 x (/.f32 (*.f32 x x) #s(literal -1/2 binary32))))))) x)) x)
(log (- (/ (* (- (* x x) (/ 1/4 (* x x))) 1) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x))
(log.f32 (-.f32 (/.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1/8 binary32) x) (*.f32 x x))) (+.f32 (*.f32 x x) (/.f32 (*.f32 x (+.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 x (/.f32 (*.f32 x x) #s(literal -1/2 binary32))))))) x))
(- (/ (* (- (* x x) (/ 1/4 (* x x))) 1) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x)
(-.f32 (/.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1/8 binary32) x) (*.f32 x x))) (+.f32 (*.f32 x x) (/.f32 (*.f32 x (+.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 x (/.f32 (*.f32 x x) #s(literal -1/2 binary32))))))) x)
(/ (* (- (* x x) (/ 1/4 (* x x))) 1) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2))))))
(/.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1/8 binary32) x) (*.f32 x x))) (+.f32 (*.f32 x x) (/.f32 (*.f32 x (+.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 x (/.f32 (*.f32 x x) #s(literal -1/2 binary32)))))))
(* (- (* x x) (/ 1/4 (* x x))) 1)
(+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(- (* x x) (/ 1/4 (* x x)))
(+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(* x x)
(*.f32 x x)
x
(/ 1/4 (* x x))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
1/4
#s(literal 1/4 binary32)
1
#s(literal 1 binary32)
(/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))
(/.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1/8 binary32) x) (*.f32 x x))) (+.f32 (*.f32 x x) (/.f32 (*.f32 x (+.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 x (/.f32 (*.f32 x x) #s(literal -1/2 binary32))))))
(- (* x (* x x)) (/ -1/8 (* x (* x x))))
(+.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1/8 binary32) x) (*.f32 x x)))
(* x (* x x))
(*.f32 x (*.f32 x x))
(/ -1/8 (* x (* x x)))
(/.f32 (/.f32 #s(literal -1/8 binary32) x) (*.f32 x x))
-1/8
#s(literal -1/8 binary32)
(+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2))))
(+.f32 (*.f32 x x) (/.f32 (*.f32 x (+.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 x (/.f32 (*.f32 x x) #s(literal -1/2 binary32)))))
(/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))
(/.f32 (*.f32 x (+.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 x (/.f32 (*.f32 x x) #s(literal -1/2 binary32))))
(+ (* 1/4 (/ x -1/2)) (* x (* x x)))
(*.f32 x (+.f32 (*.f32 x x) #s(literal -1/2 binary32)))
(* 1/4 (/ x -1/2))
(*.f32 x #s(literal -1/2 binary32))
(/ x -1/2)
(/.f32 x #s(literal -1/2 binary32))
-1/2
#s(literal -1/2 binary32)
(* (* x x) (/ x -1/2))
(*.f32 x (/.f32 (*.f32 x x) #s(literal -1/2 binary32)))
(copysign (log (* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)))) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)) x)) x)) x)
(log (* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x))))
(log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)) x)) x))
(* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)))
(-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)) x)) x)
(neg x)
(neg.f32 x)
x
(- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)) x)) x))
1
#s(literal 1 binary32)
(/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)
(/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)) x)) x)
(- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x))
(+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)) x))
(fabs x)
(fabs.f32 x)
(/ (+ 1/2 (/ -1/8 (* x x))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(+ 1/2 (/ -1/8 (* x x)))
(+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))
1/2
#s(literal 1/2 binary32)
(/ -1/8 (* x x))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
-1/8
#s(literal -1/8 binary32)
(* x x)
(*.f32 x x)

localize398.0ms (4.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))
accuracy100.0%
(log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x))))
accuracy100.0%
(/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)
accuracy99.7%
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
accuracy87.5%
(/.f32 (*.f32 (-.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32)))))))
accuracy83.0%
(/.f32 (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))
accuracy82.6%
(/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))
accuracy79.9%
(-.f32 (/.f32 (*.f32 (-.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x)
accuracy100.0%
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
accuracy100.0%
(/.f32 #s(literal -1/2 binary32) x)
accuracy100.0%
(log.f32 (/.f32 #s(literal -1/2 binary32) x))
accuracy100.0%
(copysign.f32 x x)
accuracy100.0%
(*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))))))
accuracy99.9%
(*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))
accuracy99.9%
(*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))
accuracy80.3%
(log1p.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (fabs.f32 x)))
Results
150.0ms190×0invalid
93.0ms49×1valid
12.0ms17×0valid
Compiler

Compiled 669 to 51 computations (92.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-div: 28.0ms (24.7% of total)
ival-mult: 21.0ms (18.5% of total)
ival-log: 13.0ms (11.5% of total)
ival-add: 12.0ms (10.6% of total)
ival-copysign: 12.0ms (10.6% of total)
ival-sub: 8.0ms (7.1% of total)
compiled-spec: 8.0ms (7.1% of total)
backward-pass: 7.0ms (6.2% of total)
ival-fabs: 2.0ms (1.8% of total)
ival-neg: 2.0ms (1.8% of total)
const: 1.0ms (0.9% of total)

series150.0ms (1.6%)

Counts
22 → 264
Calls
Call 1
Inputs
#<alt (copysign (log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (fabs x)))) x)>
#<alt (log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (fabs x))))>
#<alt (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (fabs x))>
#<alt (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))>
#<alt (copysign x x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (log (/ -1/2 x))>
#<alt (/ -1/2 x)>
#<alt (copysign (log (- (/ (* (- (* x x) (/ 1/4 (* x x))) 1) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x)) x)>
#<alt (log (- (/ (* (- (* x x) (/ 1/4 (* x x))) 1) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x))>
#<alt (- (/ (* (- (* x x) (/ 1/4 (* x x))) 1) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x)>
#<alt (/ (* (- (* x x) (/ 1/4 (* x x))) 1) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2))))))>
#<alt (copysign (log (* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)))) x)>
#<alt (log (* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x))))>
#<alt (* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)))>
#<alt (neg x)>
#<alt (* (* x x) (+ -1/8 (* x (* x 1/16))))>
#<alt (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))>
#<alt (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))>
#<alt (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))>
#<alt (/ -1/8 (* x x))>
#<alt (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)>
Outputs
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log 1/16) (* -6 (log (/ 1 x))))>
#<alt (- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))>
#<alt (+ (log 1/16) (* -6 (log (/ -1 x))))>
#<alt (- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (copysign (log (- (/ (* (+ (* -1/2 (/ (+ (* -1/2 x) (pow x 3)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)>
#<alt (copysign (log (- (/ (* (+ (* -1/2 (/ (+ (* -1/2 x) (pow x 3)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)>
#<alt (copysign (log (- (/ (* (+ (* -1/2 (/ (+ (* -1/2 x) (pow x 3)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)>
#<alt (copysign (log (- (/ (* (+ (* -1/2 (/ (+ (* -1/2 x) (pow x 3)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)>
#<alt (copysign (log (- (/ (* (+ (* -1/2 (/ (- (pow x 3) (* 1/2 x)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)>
#<alt (copysign (log (- (/ (* (+ (* -1/2 (/ (- (pow x 3) (* 1/2 x)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)>
#<alt (copysign (log (- (/ (* (+ (* -1/2 (/ (- (pow x 3) (* 1/2 x)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)>
#<alt (copysign (log (- (/ (* (+ (* -1/2 (/ (- (pow x 3) (* 1/2 x)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)>
#<alt (copysign (log (+ (* -1 x) (* -1 (/ (* (+ (* -1/2 (/ (- (* -1/2 x) (* -1 (pow x 3))) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (- (* -1 (pow x 3)) (* 1/8 (/ 1 (pow x 3)))))))) x)>
#<alt (copysign (log (+ (* -1 x) (* -1 (/ (* (+ (* -1/2 (/ (- (* -1/2 x) (* -1 (pow x 3))) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (- (* -1 (pow x 3)) (* 1/8 (/ 1 (pow x 3)))))))) x)>
#<alt (copysign (log (+ (* -1 x) (* -1 (/ (* (+ (* -1/2 (/ (- (* -1/2 x) (* -1 (pow x 3))) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (- (* -1 (pow x 3)) (* 1/8 (/ 1 (pow x 3)))))))) x)>
#<alt (copysign (log (+ (* -1 x) (* -1 (/ (* (+ (* -1/2 (/ (- (* -1/2 x) (* -1 (pow x 3))) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (- (* -1 (pow x 3)) (* 1/8 (/ 1 (pow x 3)))))))) x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (+ (log 1/8) (* -3 (log x)))>
#<alt (+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))>
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* 8 (* x (fabs x))) 4))))>
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* x (+ (* -16 x) (* 8 (fabs x)))) 4))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (+ (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)))))))>
#<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 (/ 1/8 (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* (pow x 2) (- (* x (fabs x)) 1/2))) (pow x 3))>
#<alt (/ (+ 1/8 (* (pow x 2) (- (* x (+ (fabs x) (* -1 x))) 1/2))) (pow x 3))>
#<alt (* -1 x)>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))>
#<alt (* x (- (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)) (+ 1 (/ 1/2 (pow x 2)))))>
#<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 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))>
#<alt (* 1/16 (pow x 4))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 4))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))>
#<alt (* 1/16 (pow x 5))>
#<alt (* (pow x 5) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) 1/16)))>
#<alt (* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ (+ 1/4 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/4 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/4 (* -1/2 (pow x 2))) (pow x 2))>
#<alt -1/2>
#<alt (- (* 1/4 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/4 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/4 (/ 1 (pow x 2))) 1/2)>
#<alt -1/2>
#<alt (- (* 1/4 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/4 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/4 (/ 1 (pow x 2))) 1/2)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 4))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/8 (* (pow x 2) (- (* x (fabs x)) 1/2))) (pow x 4))>
#<alt (/ (+ 1/8 (* (pow x 2) (- (* x (fabs x)) 1/2))) (pow x 4))>
#<alt (/ (fabs x) x)>
#<alt (/ (- (fabs x) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ (fabs x) (/ 1/8 (pow x 3))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ (fabs x) (/ 1/8 (pow x 3))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (fabs x) x)>
#<alt (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x))>
#<alt (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x))>
Calls

66 calls:

TimeVariablePointExpression
67.0ms
x
@0
(log (- (/ (* (- (* x x) (/ 1/4 (* x x))) 1) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x))
23.0ms
x
@-inf
(log (/ -1/2 x))
13.0ms
x
@0
(- (/ (* (- (* x x) (/ 1/4 (* x x))) 1) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x)
13.0ms
x
@0
(log (/ -1/2 x))
8.0ms
x
@inf
(log (- (/ (* (- (* x x) (/ 1/4 (* x x))) 1) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x))

rewrite379.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
3434×*-lowering-*.f32
3434×*-lowering-*.f64
2346×fma-lowering-fma.f32
2346×fma-lowering-fma.f64
1838×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051375
1339347
23521336
08183336
Stop Event
iter limit
node limit
Counts
22 → 407
Calls
Call 1
Inputs
(copysign (log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (fabs x)))) x)
(log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (fabs x))))
(+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))) (fabs x))
(* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))
(copysign x x)
(copysign (log (/ -1/2 x)) x)
(log (/ -1/2 x))
(/ -1/2 x)
(copysign (log (- (/ (* (- (* x x) (/ 1/4 (* x x))) 1) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x)) x)
(log (- (/ (* (- (* x x) (/ 1/4 (* x x))) 1) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x))
(- (/ (* (- (* x x) (/ 1/4 (* x x))) 1) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x)
(/ (* (- (* x x) (/ 1/4 (* x x))) 1) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2))))))
(copysign (log (* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)))) x)
(log (* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x))))
(* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)))
(neg x)
(* (* x x) (+ -1/8 (* x (* x 1/16))))
(* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))
(/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))
(/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))
(/ -1/8 (* x x))
(/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)
Outputs
(copysign.f32 (log1p.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x))) x)
(log1p.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)) (-.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)) #s(literal 3 binary32))))))
(neg.f32 (log.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))) (-.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)) #s(literal 2 binary32))))))
(+.f32 (log1p.f32 (pow.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)) #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)) (-.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)) #s(literal 1 binary32)))))))
(+.f32 (log1p.f32 (neg.f32 (pow.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)) (-.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)) #s(literal 3 binary32))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))) (-.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)) #s(literal 2 binary32))))))
(-.f32 (log1p.f32 (pow.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)) #s(literal 3 binary32))) (log1p.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)) (-.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)) #s(literal 1 binary32)))))
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(/.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (+.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) (+.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 x x))) (*.f32 (/.f32 (fabs.f32 x) x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 x x))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 x x)))) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 x x))))
(/.f32 (*.f32 (-.f32 (*.f32 x (*.f32 x x)) (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)))) (/.f32 #s(literal 1 binary32) x)) (+.f32 (*.f32 x x) (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)))))
(/.f32 (*.f32 (-.f32 (*.f32 x x) (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))) (/.f32 #s(literal 1 binary32) x)) (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)))
(/.f32 (/.f32 (+.f32 (neg.f32 (fabs.f32 x)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) #s(literal -1 binary32)) x)
(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x))
(*.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x) #s(literal 1 binary32))
(*.f32 (+.f32 (neg.f32 (fabs.f32 x)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) (/.f32 #s(literal 1 binary32) (neg.f32 x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))) #s(literal -1 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (pow.f32 (/.f32 x (-.f32 (*.f32 x (*.f32 x x)) (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))))
(*.f32 (pow.f32 (/.f32 x (-.f32 (*.f32 x x) (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))

simplify337.0ms (3.5%)

Algorithm
egg-herbie
Rules
4358×+-lowering-+.f64
4358×+-lowering-+.f32
3468×*-lowering-*.f32
3468×*-lowering-*.f64
1240×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03433008
19862658
232592538
082582538
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log 1/16) (* -6 (log (/ 1 x))))
(- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(+ (log 1/16) (* -6 (log (/ -1 x))))
(- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(fabs x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign (log (/ -1/2 x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign (log (/ -1/2 x)) x)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(copysign (log (- (/ (* (+ (* -1/2 (/ (+ (* -1/2 x) (pow x 3)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)
(copysign (log (- (/ (* (+ (* -1/2 (/ (+ (* -1/2 x) (pow x 3)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)
(copysign (log (- (/ (* (+ (* -1/2 (/ (+ (* -1/2 x) (pow x 3)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)
(copysign (log (- (/ (* (+ (* -1/2 (/ (+ (* -1/2 x) (pow x 3)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)
(copysign (log (- (/ (* (+ (* -1/2 (/ (- (pow x 3) (* 1/2 x)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)
(copysign (log (- (/ (* (+ (* -1/2 (/ (- (pow x 3) (* 1/2 x)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)
(copysign (log (- (/ (* (+ (* -1/2 (/ (- (pow x 3) (* 1/2 x)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)
(copysign (log (- (/ (* (+ (* -1/2 (/ (- (pow x 3) (* 1/2 x)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)
(copysign (log (+ (* -1 x) (* -1 (/ (* (+ (* -1/2 (/ (- (* -1/2 x) (* -1 (pow x 3))) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (- (* -1 (pow x 3)) (* 1/8 (/ 1 (pow x 3)))))))) x)
(copysign (log (+ (* -1 x) (* -1 (/ (* (+ (* -1/2 (/ (- (* -1/2 x) (* -1 (pow x 3))) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (- (* -1 (pow x 3)) (* 1/8 (/ 1 (pow x 3)))))))) x)
(copysign (log (+ (* -1 x) (* -1 (/ (* (+ (* -1/2 (/ (- (* -1/2 x) (* -1 (pow x 3))) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (- (* -1 (pow x 3)) (* 1/8 (/ 1 (pow x 3)))))))) x)
(copysign (log (+ (* -1 x) (* -1 (/ (* (+ (* -1/2 (/ (- (* -1/2 x) (* -1 (pow x 3))) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (- (* -1 (pow x 3)) (* 1/8 (/ 1 (pow x 3)))))))) x)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (log (/ 1 x)))
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(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ -1 x)))
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(+ (log 1/2) (log (/ -1 x)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) 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
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)
(copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)
(copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)
(copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)
(copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)
(copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)
(copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)
(copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)
(copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)
(copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)
(copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)
(copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)
(+ (log 1/8) (* -3 (log x)))
(+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* 8 (* x (fabs x))) 4))))
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* x (+ (* -16 x) (* 8 (fabs x)))) 4))))
(+ (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)))
(/ 1/8 (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* (pow x 2) (- (* x (fabs x)) 1/2))) (pow x 3))
(/ (+ 1/8 (* (pow x 2) (- (* x (+ (fabs x) (* -1 x))) 1/2))) (pow x 3))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))
(* x (- (+ (* 1/8 (/ 1 (pow x 4))) (/ (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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* 1/16 (pow x 4))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 4))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* 1/16 (pow x 5))
(* (pow x 5) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) 1/16)))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))
(/ 1/4 (pow x 2))
(/ (+ 1/4 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1/4 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1/4 (* -1/2 (pow x 2))) (pow x 2))
-1/2
(- (* 1/4 (/ 1 (pow x 2))) 1/2)
(- (* 1/4 (/ 1 (pow x 2))) 1/2)
(- (* 1/4 (/ 1 (pow x 2))) 1/2)
-1/2
(- (* 1/4 (/ 1 (pow x 2))) 1/2)
(- (* 1/4 (/ 1 (pow x 2))) 1/2)
(- (* 1/4 (/ 1 (pow x 2))) 1/2)
(/ 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)))))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ 1/8 (pow x 4))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 4))
(/ (+ 1/8 (* (pow x 2) (- (* x (fabs x)) 1/2))) (pow x 4))
(/ (+ 1/8 (* (pow x 2) (- (* x (fabs x)) 1/2))) (pow x 4))
(/ (fabs x) x)
(/ (- (fabs x) (* 1/2 (/ 1 x))) x)
(/ (- (+ (fabs x) (/ 1/8 (pow x 3))) (* 1/2 (/ 1 x))) x)
(/ (- (+ (fabs x) (/ 1/8 (pow x 3))) (* 1/2 (/ 1 x))) x)
(/ (fabs x) x)
(* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ 1 x))) x))
(* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x))
(* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x))
Outputs
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32))))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32))))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32))))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32))))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(+ (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)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))))
(+ (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)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 (*.f32 x x) (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (*.f32 (*.f32 x x) (*.f32 (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))))) #s(literal 1/720 binary32))))))))
(+ (log 1/16) (* -6 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 #s(literal 6 binary32) (log.f32 x)))
(- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 1/16 binary32)) (+.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(+.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) (+.f32 (+.f32 (/.f32 #s(literal 6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (log.f32 #s(literal 1/16 binary32))) (/.f32 #s(literal -2 binary32) (*.f32 x x))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(+.f32 (+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 #s(literal 6 binary32) (log.f32 x))) (+.f32 (/.f32 (+.f32 #s(literal 88/3 binary32) (*.f32 (*.f32 (fabs.f32 x) #s(literal 11520 binary32)) #s(literal 1/720 binary32))) (pow.f32 x #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal 6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 #s(literal -2 binary32) (*.f32 x x)))))
(+ (log 1/16) (* -6 (log (/ -1 x))))
(+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 #s(literal -6 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))
(+.f32 (*.f32 #s(literal -6 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))) (+.f32 (log.f32 #s(literal 1/16 binary32)) (/.f32 #s(literal -2 binary32) (*.f32 x x))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(+.f32 (*.f32 #s(literal -6 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))) (+.f32 (+.f32 (/.f32 #s(literal 6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (log.f32 #s(literal 1/16 binary32))) (/.f32 #s(literal -2 binary32) (*.f32 x x))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 1/16 binary32)) (+.f32 (/.f32 #s(literal 6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (/.f32 (+.f32 #s(literal 88/3 binary32) (*.f32 (*.f32 (fabs.f32 x) #s(literal 11520 binary32)) #s(literal 1/720 binary32))) (pow.f32 x #s(literal 6 binary32))) (+.f32 (*.f32 #s(literal -6 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -2 binary32) (*.f32 x x))))))
(fabs x)
(fabs.f32 x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+.f32 (fabs.f32 x) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+.f32 (fabs.f32 x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32))))))))
(* 1/16 (pow x 6))
(*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 (fabs.f32 x) (pow.f32 x #s(literal 6 binary32))))))
(* 1/16 (pow x 6))
(*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 (fabs.f32 x) (pow.f32 x #s(literal 6 binary32))))))
(* 1/2 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32)))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32)))))))
(* 1/16 (pow x 6))
(*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))
(* 1/16 (pow x 6))
(*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(+ (log -1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(+ (log -1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(+ (log -1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(+ (log -1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
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(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) x) 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)))
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (fabs.f32 x) (+.f32 #s(literal -3 binary32) (*.f32 (*.f32 x x) #s(literal 2 binary32))))) x) (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x #s(literal -1/2 binary32))))) x)) x))
(/ 1/8 (pow x 3))
(/.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x x)))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x x)))
(/ (+ 1/8 (* (pow x 2) (- (* x (fabs x)) 1/2))) (pow x 3))
(/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/2 binary32) (*.f32 x (fabs.f32 x)))))) (*.f32 x (*.f32 x x)))
(/ (+ 1/8 (* (pow x 2) (- (* x (+ (fabs x) (* -1 x))) 1/2))) (pow x 3))
(/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/2 binary32) (*.f32 x (-.f32 (fabs.f32 x) x)))))) (*.f32 x (*.f32 x x)))
(* -1 x)
(neg.f32 x)
(* x (- (/ (fabs x) x) 1))
(*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) x)))
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))
(+.f32 (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) x))) (/.f32 #s(literal -1/2 binary32) x))
(* x (- (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)) (+ 1 (/ 1/2 (pow x 2)))))
(+.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) x)))) (/.f32 #s(literal -1/2 binary32) x))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) x)))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(+.f32 (*.f32 x (+.f32 #s(literal -1 binary32) (/.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 (neg.f32 x) (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) (fabs.f32 x)) #s(literal 1 binary32))))
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(*.f32 x (*.f32 x (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32))))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(*.f32 x (*.f32 x (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32))))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(*.f32 x (*.f32 x (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32))))
(* 1/16 (pow x 4))
(*.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))))
(* 1/16 (pow x 4))
(*.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* x (+ 1/2 (* -1/8 (pow x 2))))
(*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32))))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32))))))
(* 1/16 (pow x 5))
(*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 5 binary32)))
(* (pow x 5) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (pow.f32 x #s(literal 5 binary32)))
(* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (pow.f32 x #s(literal 5 binary32)))
(* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (pow.f32 x #s(literal 5 binary32)))
(* 1/16 (pow x 5))
(*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 5 binary32)))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) 1/16)))
(*.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (pow.f32 x #s(literal 5 binary32)))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))
(*.f32 (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (pow.f32 x #s(literal 5 binary32)))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))
(*.f32 (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (pow.f32 x #s(literal 5 binary32)))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/ (+ 1/4 (* -1/2 (pow x 2))) (pow x 2))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 x x))
(/ (+ 1/4 (* -1/2 (pow x 2))) (pow x 2))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 x x))
(/ (+ 1/4 (* -1/2 (pow x 2))) (pow x 2))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 x x))
-1/2
#s(literal -1/2 binary32)
(- (* 1/4 (/ 1 (pow x 2))) 1/2)
(+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(- (* 1/4 (/ 1 (pow x 2))) 1/2)
(+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(- (* 1/4 (/ 1 (pow x 2))) 1/2)
(+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
-1/2
#s(literal -1/2 binary32)
(- (* 1/4 (/ 1 (pow x 2))) 1/2)
(+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(- (* 1/4 (/ 1 (pow x 2))) 1/2)
(+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(- (* 1/4 (/ 1 (pow x 2))) 1/2)
(+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (pow x 2)) x)
(/.f32 (+.f32 (*.f32 x x) #s(literal 1/2 binary32)) x)
(/ (+ 1/2 (pow x 2)) x)
(/.f32 (+.f32 (*.f32 x x) #s(literal 1/2 binary32)) x)
(/ (+ 1/2 (pow x 2)) x)
(/.f32 (+.f32 (*.f32 x x) #s(literal 1/2 binary32)) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x)))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x)))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x)))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x)))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x)))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x)))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 4))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 4))
(/.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (*.f32 x x) (*.f32 x x)))
(/ (+ 1/8 (* (pow x 2) (- (* x (fabs x)) 1/2))) (pow x 4))
(/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/2 binary32) (*.f32 x (fabs.f32 x)))))) (*.f32 (*.f32 x x) (*.f32 x x)))
(/ (+ 1/8 (* (pow x 2) (- (* x (fabs x)) 1/2))) (pow x 4))
(/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/2 binary32) (*.f32 x (fabs.f32 x)))))) (*.f32 (*.f32 x x) (*.f32 x x)))
(/ (fabs x) x)
(/.f32 (fabs.f32 x) x)
(/ (- (fabs x) (* 1/2 (/ 1 x))) x)
(/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)
(/ (- (+ (fabs x) (/ 1/8 (pow x 3))) (* 1/2 (/ 1 x))) x)
(/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x)) x)
(/ (- (+ (fabs x) (/ 1/8 (pow x 3))) (* 1/2 (/ 1 x))) x)
(/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x)) x)
(/ (fabs x) x)
(/.f32 (fabs.f32 x) x)
(* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ 1 x))) x))
(/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)
(* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x))
(/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x)) x)
(* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x))
(/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x)) x)

eval149.0ms (1.6%)

Compiler

Compiled 28493 to 2674 computations (90.6% saved)

prune127.0ms (1.3%)

Pruning

26 alts after pruning (15 fresh and 11 done)

PrunedKeptTotal
New6674671
Fresh61117
Picked145
Done077
Total67426700
Accuracy
99.7%
Counts
700 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.9%
(copysign.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 (-.f32 (hypot.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
55.0%
(copysign.f32 (-.f32 (log.f32 (+.f32 (pow.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 3/2 binary32)) (*.f32 x (*.f32 x x)))) (log1p.f32 (+.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) x)
15.2%
(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (+.f32 (log.f32 x) #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (fabs.f32 x)) x) #s(literal 1 binary32)))) x)
14.8%
(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (log.f32 x) #s(literal -1/2 binary32))) x)
55.9%
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
14.5%
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
55.4%
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
55.1%
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
55.3%
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 3/40 binary32))))))) x)
26.2%
(copysign.f32 (neg.f32 (log.f32 (/.f32 x #s(literal -1/2 binary32)))) x)
59.8%
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) x)
33.9%
(copysign.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))) (*.f32 x x)) (-.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)))) x)
56.0%
(copysign.f32 (log1p.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (fabs.f32 x))) x)
10.2%
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x x)))) x)
26.1%
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
28.1%
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)
6.6%
(copysign.f32 (log.f32 (-.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) x)) x)
59.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
35.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
27.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
20.9%
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
28.7%
(copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x)
27.8%
(copysign.f32 (log.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) #s(literal 1 binary32)))) x)
13.3%
(copysign.f32 (log.f32 (neg.f32 x)) x)
13.6%
(copysign.f32 (log.f32 x) x)
55.7%
(copysign.f32 x x)
Compiler

Compiled 2055 to 596 computations (71% saved)

regimes55.0ms (0.6%)

Counts
55 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 3/40 binary32))))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 x #s(literal -1/2 binary32)))) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) x)) x)
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32)))))) x)) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) x) (*.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) x) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32)))))) (/.f32 #s(literal 1 binary32) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x) x) x)) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (-.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))))))) 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 (fabs.f32 x) (neg.f32 x))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)
(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (log.f32 x) #s(literal -1/2 binary32))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) x)
(copysign.f32 (log.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (log.f32 x) (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x)
(copysign.f32 (log1p.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))))))) #s(literal 1 binary32))) x)
(copysign.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))) (*.f32 x x)) (-.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (*.f32 x x)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))))))) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (-.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) #s(literal 1/2 binary32)))) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (-.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) #s(literal 1/2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (+.f32 (log.f32 x) #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (fabs.f32 x)) x) #s(literal 1 binary32)))) x)
(copysign.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 (-.f32 (hypot.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 (-.f32 (log.f32 (neg.f32 (-.f32 (*.f32 x x) (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) x)
(copysign.f32 (-.f32 (log.f32 (+.f32 (pow.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 3/2 binary32)) (*.f32 x (*.f32 x x)))) (log1p.f32 (+.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) x)
(copysign.f32 (neg.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 3/2 binary32))))) (log.f32 (+.f32 (*.f32 x x) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x (*.f32 x (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 (*.f32 x x) #s(literal 1/720 binary32))))))))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x (*.f32 x (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 (*.f32 x x) #s(literal 1/720 binary32))))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
Calls

2 calls:

14.0ms
x
13.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
99.2%3x
99.2%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes68.0ms (0.7%)

Counts
54 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 3/40 binary32))))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 x #s(literal -1/2 binary32)))) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) x)) x)
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32)))))) x)) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) x) (*.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) x) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32)))))) (/.f32 #s(literal 1 binary32) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x) x) x)) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (-.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))))))) 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 (fabs.f32 x) (neg.f32 x))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)
(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (log.f32 x) #s(literal -1/2 binary32))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) x)
(copysign.f32 (log.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (log.f32 x) (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x)
(copysign.f32 (log1p.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))))))) #s(literal 1 binary32))) x)
(copysign.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))) (*.f32 x x)) (-.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (*.f32 x x)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))))))) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (-.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) #s(literal 1/2 binary32)))) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (-.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) #s(literal 1/2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (+.f32 (log.f32 x) #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (fabs.f32 x)) x) #s(literal 1 binary32)))) x)
(copysign.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 (-.f32 (hypot.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 (-.f32 (log.f32 (neg.f32 (-.f32 (*.f32 x x) (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) x)
(copysign.f32 (-.f32 (log.f32 (+.f32 (pow.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 3/2 binary32)) (*.f32 x (*.f32 x x)))) (log1p.f32 (+.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) x)
(copysign.f32 (neg.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 3/2 binary32))))) (log.f32 (+.f32 (*.f32 x x) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
Calls

2 calls:

42.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
15.0ms
x
Results
AccuracySegmentsBranch
99.2%3x
99.2%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts
43 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 3/40 binary32))))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 x #s(literal -1/2 binary32)))) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) x)) x)
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32)))))) x)) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) x) (*.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) x) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32)))))) (/.f32 #s(literal 1 binary32) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x) x) x)) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (-.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))))))) 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 (fabs.f32 x) (neg.f32 x))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)
(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (log.f32 x) #s(literal -1/2 binary32))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) x)
(copysign.f32 (log.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (log.f32 x) (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x)
(copysign.f32 (log1p.f32 (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))))))) #s(literal 1 binary32))) x)
(copysign.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))) (*.f32 x x)) (-.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (*.f32 x x)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))))))) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (-.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) #s(literal 1/2 binary32)))) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) (-.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))) #s(literal 1/2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))))) x)
Outputs
(copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
98.3%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes17.0ms (0.2%)

Counts
36 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 3/40 binary32))))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 x #s(literal -1/2 binary32)))) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) x)) x)
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32)))))) x)) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) x) (*.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) x) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32)))))) (/.f32 #s(literal 1 binary32) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x) x) x)) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (-.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))))))) 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 (fabs.f32 x) (neg.f32 x))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)
(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (log.f32 x) #s(literal -1/2 binary32))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) x)
(copysign.f32 (log.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (log.f32 x) (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32))))) x)
Outputs
(copysign.f32 (log.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) #s(literal 1 binary32)))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
97.9%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.1%)

Counts
32 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 3/40 binary32))))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 x #s(literal -1/2 binary32)))) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) x)) x)
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32)))))) x)) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) x) (*.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) x) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32)))))) (/.f32 #s(literal 1 binary32) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x) x) x)) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (-.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))))))) 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 (fabs.f32 x) (neg.f32 x))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)
(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (log.f32 x) #s(literal -1/2 binary32))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) x)
Outputs
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
97.9%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes21.0ms (0.2%)

Counts
28 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 3/40 binary32))))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 x #s(literal -1/2 binary32)))) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) x)) x)
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32)))))) x)) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) x) (*.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) x) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32)))))) (/.f32 #s(literal 1 binary32) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x) x) x)) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (-.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))))))) 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 (fabs.f32 x) (neg.f32 x))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
Outputs
(copysign.f32 (neg.f32 (log.f32 (/.f32 x #s(literal -1/2 binary32)))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
97.4%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
24 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 3/40 binary32))))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 x #s(literal -1/2 binary32)))) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) x)) x)
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32)))))) x)) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) x) (*.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) x) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32)))))) (/.f32 #s(literal 1 binary32) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x) x) x)) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (-.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (/.f32 x #s(literal -1/2 binary32))))))) x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32)))))))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal 1/16 binary32))))))))) 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 (neg.f32 (log.f32 (/.f32 x #s(literal -1/2 binary32)))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
86.0%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes20.0ms (0.2%)

Counts
9 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 3/40 binary32))))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
Outputs
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
Calls

1 calls:

19.0ms
x
Results
AccuracySegmentsBranch
86.0%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
7 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 3/40 binary32))))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
Outputs
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
73.1%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
6 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 3/40 binary32))))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
Outputs
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
(copysign.f32 (log.f32 x) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
73.1%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 3/40 binary32))))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
(copysign.f32 (log.f32 x) x)
Outputs
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
(copysign.f32 (log.f32 x) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
64.1%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.6b remaining (-3.9%)

Threshold costs -0.6b (-3.9%)

Counts
4 → 1
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 3/40 binary32))))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x)
Outputs
(copysign.f32 x x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
55.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.11121763288974762
0.18920671939849854
0.0ms
-0.20601920783519745
-0.001920642564073205
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.011840185150504112
0.11106658726930618
0.0ms
-0.20601920783519745
-0.001920642564073205
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch1.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.6359423995018005
5510.71630859375
0.0ms
-2.405698537826538
-0.7526404857635498
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.6359423995018005
5510.71630859375
0.0ms
-2.405698537826538
-0.7526404857635498
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch15.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.6359423995018005
5510.71630859375
0.0ms
-2.405698537826538
-0.7526404857635498
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch1.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.6359423995018005
5510.71630859375
0.0ms
-2.405698537826538
-0.7526404857635498
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.6359423995018005
5510.71630859375
0.0ms
-2.405698537826538
-0.7526404857635498
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.6359423995018005
5510.71630859375
0.0ms
-2.405698537826538
-0.7526404857635498
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.6359423995018005
5510.71630859375
0.0ms
-2.405698537826538
-0.7526404857635498
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.6359423995018005
5510.71630859375
0.0ms
-2.405698537826538
-0.7526404857635498
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.6359423995018005
5510.71630859375
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify85.0ms (0.9%)

Algorithm
egg-herbie
Rules
496×unsub-neg_binary32
474×distribute-lft-neg-in_binary32
360×cancel-sign-sub_binary32
352×neg-mul-1_binary32
270×neg-sub0_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0119568
1173568
2199568
3231567
4314567
5431567
6552567
7740567
8976567
91203567
101429567
111614567
121762567
131861567
141917567
151951567
161966567
171968567
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 -13421773/67108864 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 5033165/33554432 binary32)) (copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x (*.f32 x (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 (*.f32 x x) #s(literal 1/720 binary32))))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -13421773/67108864 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 5368709/268435456 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (log.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) #s(literal 1 binary32)))) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (neg.f32 (log.f32 (/.f32 x #s(literal -1/2 binary32)))) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (neg.f32 (log.f32 (/.f32 x #s(literal -1/2 binary32)))) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (log.f32 (neg.f32 x)) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (log.f32 (neg.f32 x)) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 x) x)))
(if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 x) x))
(copysign.f32 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 -13421773/67108864 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 5033165/33554432 binary32)) (copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x (*.f32 x (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 (*.f32 x x) #s(literal 1/720 binary32))))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -13421773/67108864 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 5368709/268435456 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (log.f32 (*.f32 x (+.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x) #s(literal -1 binary32)))) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (log.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) #s(literal 1 binary32)))) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (log.f32 (*.f32 x (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) #s(literal -1 binary32)))) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (neg.f32 (log.f32 (/.f32 x #s(literal -1/2 binary32)))) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (neg.f32 (log.f32 (/.f32 x #s(literal -1/2 binary32)))) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (neg.f32 (log.f32 (/.f32 x #s(literal -1/2 binary32)))) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (neg.f32 (log.f32 (/.f32 x #s(literal -1/2 binary32)))) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 x #s(literal 1 binary32))) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 x #s(literal 1 binary32))) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (log.f32 (neg.f32 x)) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (log.f32 (neg.f32 x)) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 x #s(literal 1 binary32))) x)))
(if (<=.f32 x #s(literal -2 binary32)) (copysign.f32 (log.f32 (neg.f32 x)) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 x) x)))
(if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 3/40 binary32) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))))))) x) (copysign.f32 (log.f32 x) x))
(copysign.f32 x x)

soundness2.0s (21.4%)

Rules
4548×+-lowering-+.f64
4548×+-lowering-+.f32
4466×*-lowering-*.f32
4466×*-lowering-*.f64
3908×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032163
1175143
21739139
08229139
0911
1159
2169
3179
0179
03072015
19281803
232631721
084261721
051375
1339347
23521336
08183336
06385198
120704517
272144509
080614509
01691315
15171085
217661053
367531053
080591053
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
saturated
iter limit
node limit
Compiler

Compiled 1338 to 591 computations (55.8% saved)

preprocess82.0ms (0.9%)

Compiler

Compiled 1236 to 278 computations (77.5% saved)

end0.0ms (0%)

Profiling

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