Rust f32::asinh

Time bar (total: 4.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.6%0.4%0%0%0%0
100%99.6%0%0.4%0%0%0%1
Compiler

Compiled 4 to 4 computations (0% saved)

sample1.1s (24.9%)

Memory
36.2MiB live, 839.8MiB allocated; 267ms collecting garbage
Samples
779.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 419.0ms
ival-asinh: 411.0ms (98.2% of total)
ival-assert: 4.0ms (1% of total)
adjust: 3.0ms (0.7% of total)
Bogosity

explain397.0ms (8.7%)

Memory
-1.4MiB live, 376.9MiB allocated; 135ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1280-1(-0.013291650451719761)(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
660-0-(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
00-0-#s(literal 1 binary32)
00-0-(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
00-0-(*.f32 x x)
00-0-(+.f32 (*.f32 x x) #s(literal 1 binary32))
00-0-(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
00-0-x
00-0-(fabs.f32 x)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))sensitivity1261
sqrt.f32(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))oflow-rescue660
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow66
(*.f32 x x)overflow66
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue10
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))overflow1
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow66
(*.f32 x x)overflow66
Confusion
Predicted +Predicted -
+1921
-063
Precision
1.0
Recall
0.9948186528497409
Confusion?
Predicted +Predicted MaybePredicted -
+19210
-0063
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
064
1191
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
155.0ms324×0valid
73.0ms188×1valid
Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-log: 26.0ms (22.7% of total)
ival-hypot: 25.0ms (21.9% of total)
ival-fabs: 23.0ms (20.1% of total)
ival-add: 11.0ms (9.6% of total)
ival-copysign: 10.0ms (8.7% of total)
adjust: 10.0ms (8.7% of total)
ival-mult: 7.0ms (6.1% of total)
ival-true: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)

preprocess318.0ms (7%)

Memory
3.2MiB live, 234.6MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
0912
01612
12412
24512
38512
414412
535112
6240112
7591412
0815311
Stop Event
iter limit
node limit
iter limit
saturated
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 12 to 9 computations (25% saved)

series14.0ms (0.3%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Counts
9 → 44
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
Outputs
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((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)
4.0ms
x
@0
((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)
4.0ms
x
@inf
((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)

rewrite439.0ms (9.7%)

Memory
-21.4MiB live, 280.5MiB allocated; 303ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02261103
0238900
11345759
08449710
Stop Event
iter limit
node limit
iter limit
Counts
53 → 111
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
(copysign.f32 (asinh.f32 x) x)
(log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) x))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 x (cosh.f32 (asinh.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x)))))))
(asinh.f32 x)
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (-.f32 (cosh.f32 (asinh.f32 x)) x))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (cosh.f32 (asinh.f32 x)) x))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (-.f32 x (cosh.f32 (asinh.f32 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x)))))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 x (cosh.f32 (asinh.f32 x))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x))))))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (cosh.f32 (asinh.f32 x)))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 x (cosh.f32 (asinh.f32 x)))))
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x)))))) (/.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x)))))))
(+.f32 (cosh.f32 (asinh.f32 x)) x)
(+.f32 x (cosh.f32 (asinh.f32 x)))
x
x
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))
(/.f32 (+.f32 (exp.f32 (asinh.f32 x)) (exp.f32 (neg.f32 (asinh.f32 x)))) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log1p.f32 (*.f32 x x)) #s(literal 1/2 binary32)))
(cosh.f32 (neg.f32 (asinh.f32 x)))
(cosh.f32 (asinh.f32 (neg.f32 x)))
(cosh.f32 (asinh.f32 x))
(*.f32 (neg.f32 (cosh.f32 (asinh.f32 x))) (neg.f32 (cosh.f32 (asinh.f32 x))))
(*.f32 (fabs.f32 (cosh.f32 (asinh.f32 x))) (fabs.f32 (cosh.f32 (asinh.f32 x))))
(*.f32 (cosh.f32 (asinh.f32 x)) (cosh.f32 (asinh.f32 x)))
(sqrt.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.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 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 x x #s(literal 1 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 2 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x x))))) (/.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x x))))))
(+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 x x)
(sqrt.f32 (pow.f32 x #s(literal 4 binary32)))
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 (*.f32 x x) #s(literal 1 binary32))
(pow.f32 x #s(literal 2 binary32))
(fabs.f32 (*.f32 (neg.f32 x) x))
(fabs.f32 (*.f32 x (neg.f32 x)))
(fabs.f32 (*.f32 x x))
(+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
#s(literal 1 binary32)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log1p.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (fma.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 3 binary32)))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 (fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) x))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log1p.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) x) #s(literal 1 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32)))
#s(approx (fabs x) x)
#s(approx (fabs x) x)
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (+ (* x x) 1) #s(literal 1 binary32))
#s(approx (+ (* x x) 1) (fma.f32 x x #s(literal 1 binary32)))
#s(approx (* x x) (*.f32 x x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 x x) (log.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 1 binary32)) x) (/.f32 x x)) (log.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) x)) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 1 binary32)) x) (/.f32 x x))) (log.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 (/.f32 x x) #s(literal 1 binary32)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) (/.f32 x x)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) (/.f32 x x)) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32))) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32))) x))
#s(approx (+ (* x x) 1) (*.f32 x x))
#s(approx (+ (* x x) 1) (fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 (neg.f32 x) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 1 binary32)) x) #s(literal -1/2 binary32) x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) x)) x) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 1 binary32)) #s(literal 1/2 binary32))) x) #s(literal -1 binary32) x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 x x) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x) #s(literal -1 binary32) x) x) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32))))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32)))))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32)))))

eval27.0ms (0.6%)

Memory
-13.1MiB live, 32.3MiB allocated; 8ms collecting garbage
Compiler

Compiled 2 180 to 626 computations (71.3% saved)

prune7.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1045109
Fresh000
Picked101
Done000
Total1055110
Accuracy
100.0%
Counts
110 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
27.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
29.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
99.5%
(copysign.f32 (asinh.f32 x) x)
53.3%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x))) x)
Compiler

Compiled 136 to 98 computations (27.9% saved)

series23.0ms (0.5%)

Memory
-3.5MiB live, 43.3MiB allocated; 6ms collecting garbage
Counts
27 → 97
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 x) x)
(asinh.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))
(fabs.f32 x)
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
(neg.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x)))
(fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))
(*.f32 x x)
(+.f32 #s(literal 1 binary32) x)
#s(literal 1/2 binary32)
(log1p.f32 x)
Outputs
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh x) #s(hole binary32 x))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary32 x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (pow x 2)))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- x 1))))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (+ 1 x) #s(hole binary32 1))
#s(approx (+ 1 x) #s(hole binary32 (+ 1 x)))
#s(approx (log (+ 1 x)) #s(hole binary32 x))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* 1/2 x)))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 x))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- 1 (/ 1 x)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))))
#s(approx (+ 1 x) #s(hole binary32 x))
#s(approx (+ 1 x) #s(hole binary32 (* x (+ 1 (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh x) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((copysign (asinh x) x) (asinh x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x) (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)) (+ (* x x) 1) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (/ (* x x) (+ 1 x)) (* x x) (+ 1 x) 1/2 (log (+ 1 x)))
6.0ms
x
@inf
((copysign (asinh x) x) (asinh x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x) (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)) (+ (* x x) 1) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (/ (* x x) (+ 1 x)) (* x x) (+ 1 x) 1/2 (log (+ 1 x)))
5.0ms
x
@0
((copysign (asinh x) x) (asinh x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x) (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)) (+ (* x x) 1) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (/ (* x x) (+ 1 x)) (* x x) (+ 1 x) 1/2 (log (+ 1 x)))

rewrite383.0ms (8.4%)

Memory
18.1MiB live, 304.6MiB allocated; 62ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04772256
05041934
128651767
089611713
Stop Event
iter limit
node limit
iter limit
Counts
124 → 231
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 x) x)
(asinh.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))
(fabs.f32 x)
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
(neg.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x)))
(fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))
(*.f32 x x)
(+.f32 #s(literal 1 binary32) x)
#s(literal 1/2 binary32)
(log1p.f32 x)
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh x) #s(hole binary32 x))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary32 x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (pow x 2)))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- x 1))))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (+ 1 x) #s(hole binary32 1))
#s(approx (+ 1 x) #s(hole binary32 (+ 1 x)))
#s(approx (log (+ 1 x)) #s(hole binary32 x))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* 1/2 x)))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 x))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- 1 (/ 1 x)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))))
#s(approx (+ 1 x) #s(hole binary32 x))
#s(approx (+ 1 x) #s(hole binary32 (* x (+ 1 (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh x) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))))
Outputs
(copysign.f32 (asinh.f32 x) x)
(log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) x))
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x)))))))
(-.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x))))
(-.f32 (log.f32 (-.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (neg.f32 x) #s(literal 3 binary32)))) (log.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x (*.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x))))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 x (cosh.f32 (asinh.f32 x)))))
(asinh.f32 x)
x
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) x))))
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) x))))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)))) (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) x))))))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) x)))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) x)))))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) x))
x
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) x))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)))) (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) x)
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 x)
(copysign.f32 (asinh.f32 x) x)
(log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) x))
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x)))))))
(-.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x))))
(-.f32 (log.f32 (-.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (neg.f32 x) #s(literal 3 binary32)))) (log.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x (*.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x))))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 x (cosh.f32 (asinh.f32 x)))))
(asinh.f32 x)
(/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (neg.f32 (+.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (neg.f32 x) #s(literal 3 binary32)))) (neg.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x (*.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x))))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (-.f32 x (cosh.f32 (asinh.f32 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x)))))))
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (+.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x)))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 x (cosh.f32 (asinh.f32 x))))
(/.f32 (-.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (neg.f32 x) #s(literal 3 binary32))) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x (*.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x)))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x))))))
(-.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x))
(+.f32 (cosh.f32 (asinh.f32 x)) x)
(+.f32 x (cosh.f32 (asinh.f32 x)))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (+.f32 (exp.f32 (asinh.f32 x)) (exp.f32 (neg.f32 (asinh.f32 x)))) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log1p.f32 (*.f32 x x)) #s(literal 1/2 binary32)))
(cosh.f32 (neg.f32 (asinh.f32 x)))
(cosh.f32 (asinh.f32 (neg.f32 x)))
(cosh.f32 (asinh.f32 x))
(*.f32 (neg.f32 (cosh.f32 (asinh.f32 x))) (neg.f32 (cosh.f32 (asinh.f32 x))))
(*.f32 (fabs.f32 (cosh.f32 (asinh.f32 x))) (fabs.f32 (cosh.f32 (asinh.f32 x))))
(*.f32 (cosh.f32 (asinh.f32 x)) (cosh.f32 (asinh.f32 x)))
(sqrt.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x x)))))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 x x #s(literal 1 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 2 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 1/2 binary32) (log1p.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 1/2 binary32) (log1p.f32 x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 x) #s(literal 2 binary32)))) (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (log1p.f32 x) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (pow.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (log1p.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 x) #s(literal 3 binary32)) (/.f32 (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/8 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 3 binary32))))) (neg.f32 (fma.f32 (log1p.f32 x) (log1p.f32 x) (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (log1p.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (pow.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 (log1p.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 x) #s(literal 2 binary32))) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x)))
(/.f32 (+.f32 (pow.f32 (log1p.f32 x) #s(literal 3 binary32)) (/.f32 (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/8 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 3 binary32)))) (fma.f32 (log1p.f32 x) (log1p.f32 x) (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (log1p.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x))))))
(/.f32 (fma.f32 (pow.f32 (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (log1p.f32 x) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x)))))
(-.f32 (log1p.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x)))))
(fma.f32 (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 1/2 binary32) (log1p.f32 x))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) (log1p.f32 x))
(+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x))
(+.f32 (log1p.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)))
(*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x)))
(/.f32 (neg.f32 (neg.f32 (*.f32 x x))) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) x))))
(/.f32 (neg.f32 (*.f32 x x)) (neg.f32 (+.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
(*.f32 (neg.f32 x) (neg.f32 x))
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(sqrt.f32 (pow.f32 x #s(literal 4 binary32)))
(pow.f32 (*.f32 x x) #s(literal 1 binary32))
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(fabs.f32 (*.f32 (neg.f32 x) x))
(fabs.f32 (*.f32 x (neg.f32 x)))
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(+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)
(*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) x))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (neg.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) x))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) x)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))
(pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) x)
(+.f32 x (*.f32 x (/.f32 #s(literal 1 binary32) x)))
(+.f32 x #s(literal 1 binary32))
(exp.f32 (*.f32 (log1p.f32 x) #s(literal 1 binary32)))
#s(literal 1/2 binary32)
(log.f32 (+.f32 #s(literal 1 binary32) x))
(-.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) x)))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (log1p.f32 (neg.f32 x)))
(log1p.f32 x)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (fabs x) x)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 1/2 binary32) (log1p.f32 x)))
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#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (fma.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 3 binary32)))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 (fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) x))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log1p.f32 x)))
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#s(approx (+ (* x x) 1) #s(literal 1 binary32))
#s(approx (+ (* x x) 1) (fma.f32 x x #s(literal 1 binary32)))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)
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#s(approx (/ (* x x) (+ 1 x)) (*.f32 (fma.f32 (-.f32 x #s(literal 1 binary32)) x #s(literal 1 binary32)) (*.f32 x x)))
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#s(approx (* x x) (*.f32 x x))
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#s(approx (log (+ 1 x)) x)
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#s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x))
#s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x))
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#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 (/.f32 x x) #s(literal 1 binary32)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) (/.f32 x x)) #s(literal 1 binary32)) x))
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#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32))) x))
#s(approx (+ (* x x) 1) (*.f32 x x))
#s(approx (+ (* x x) 1) (fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (log.f32 x) #s(literal 1/2 binary32)) x)) x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 (log.f32 x) x) #s(literal 1/2 binary32)) (/.f32 #s(literal 3/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) x)) x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (-.f32 (-.f32 (+.f32 (+.f32 (/.f32 (log.f32 x) x) #s(literal 1/2 binary32)) (/.f32 #s(literal 3/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) x)) (pow.f32 x #s(literal -3 binary32))) x))
#s(approx (/ (* x x) (+ 1 x)) x)
#s(approx (/ (* x x) (+ 1 x)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))
#s(approx (/ (* x x) (+ 1 x)) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x)) x))
#s(approx (/ (* x x) (+ 1 x)) (*.f32 (-.f32 (-.f32 (+.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x)) (pow.f32 x #s(literal -3 binary32))) x))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (+.f32 #s(literal 1 binary32) x))
#s(approx (log (+ 1 x)) (log.f32 x))
#s(approx (log (+ 1 x)) (+.f32 (log.f32 x) (/.f32 #s(literal 1 binary32) x)))
#s(approx (log (+ 1 x)) (-.f32 (+.f32 (log.f32 x) (/.f32 #s(literal 1 binary32) x)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))))
#s(approx (log (+ 1 x)) (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) x)) (log.f32 x)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 (neg.f32 x) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 1 binary32)) x) #s(literal -1/2 binary32) x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) x)) x) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 1 binary32)) #s(literal 1/2 binary32))) x) #s(literal -1 binary32) x) x) #s(literal -1 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 x x) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x) #s(literal -1 binary32) x) x) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32))))
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#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32)))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (log.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 #s(literal 3/2 binary32) x)) (log.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 3/2 binary32)) x)) (log.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32))))
#s(approx (/ (* x x) (+ 1 x)) (*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
#s(approx (/ (* x x) (+ 1 x)) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) #s(literal 1 binary32))))
#s(approx (/ (* x x) (+ 1 x)) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) #s(literal 1 binary32)) x)) #s(literal 1 binary32))))
#s(approx (log (+ 1 x)) (log.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))))
#s(approx (log (+ 1 x)) (+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) (log.f32 #s(literal -1 binary32))))
#s(approx (log (+ 1 x)) (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) x)) (log.f32 #s(literal -1 binary32))))
#s(approx (log (+ 1 x)) (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x)) #s(literal 1 binary32)) x)) (log.f32 #s(literal -1 binary32))))

eval51.0ms (1.1%)

Memory
6.3MiB live, 51.4MiB allocated; 7ms collecting garbage
Compiler

Compiled 6 272 to 1 216 computations (80.6% saved)

prune21.0ms (0.5%)

Memory
-9.2MiB live, 34.8MiB allocated; 9ms collecting garbage
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New2418249
Fresh000
Picked235
Done000
Total24311254
Accuracy
100.0%
Counts
254 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
27.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
27.1%
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
99.5%
(copysign.f32 (asinh.f32 x) x)
54.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x)))) x)
21.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (/.f32 (fma.f32 (pow.f32 (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (log1p.f32 x) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x)))))) x)
54.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
54.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
55.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x)) x)
20.2%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))) x)
55.7%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x)
Compiler

Compiled 526 to 328 computations (37.6% saved)

series75.0ms (1.7%)

Memory
5.0MiB live, 70.5MiB allocated; 47ms collecting garbage
Counts
49 → 229
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x)))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))
(*.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))
(-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32))
(*.f32 #s(literal 3/40 binary32) (*.f32 x x))
#s(literal 3/40 binary32)
(*.f32 x x)
#s(literal 1/6 binary32)
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x))))
(fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x)))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))
(+.f32 #s(literal 1 binary32) x)
#s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x)
(fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32))
(-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/3 binary32) x)
#s(literal 1/3 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (/.f32 (fma.f32 (pow.f32 (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (log1p.f32 x) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x)))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (/.f32 (fma.f32 (pow.f32 (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (log1p.f32 x) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x))))))
(/.f32 (fma.f32 (pow.f32 (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (log1p.f32 x) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x)))))
(fma.f32 (pow.f32 (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (log1p.f32 x) #s(literal 3 binary32)))
(pow.f32 (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32))
(*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x)))
(/.f32 x (+.f32 #s(literal 1 binary32) x))
#s(literal 3 binary32)
#s(literal 1/8 binary32)
(pow.f32 (log1p.f32 x) #s(literal 3 binary32))
(log1p.f32 x)
(+.f32 (pow.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x))))
(pow.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
(/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 x x) #s(literal 1/2 binary32))
#s(literal 2 binary32)
(-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x)))
(pow.f32 (log1p.f32 x) #s(literal 2 binary32))
(*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x))
Outputs
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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)))))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))))
#s(approx x #s(hole binary32 x))
#s(approx (* 1/2 x) #s(hole binary32 (* 1/2 x)))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 -1/6))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (* 3/40 (* x x)) #s(hole binary32 (* 3/40 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (pow x 2)))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- x 1))))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (+ 1 x) #s(hole binary32 1))
#s(approx (+ 1 x) #s(hole binary32 (+ 1 x)))
#s(approx (log (+ 1 x)) #s(hole binary32 x))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 1))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 (+ 1 (* -1/2 x))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 (+ 1 (* x (- (* 1/3 x) 1/2)))))
#s(approx (- (* 1/3 x) 1/2) #s(hole binary32 -1/2))
#s(approx (- (* 1/3 x) 1/2) #s(hole binary32 (- (* 1/3 x) 1/2)))
#s(approx (* 1/3 x) #s(hole binary32 (* 1/3 x)))
#s(approx (/ (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))))) #s(hole binary32 x))
#s(approx (/ (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (/ (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (/ (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))))
#s(approx (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) #s(hole binary32 (pow x 3)))
#s(approx (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) #s(hole binary32 (* (pow x 3) (+ 1 (* -3/2 x)))))
#s(approx (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) #s(hole binary32 (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2))))))
#s(approx (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) #s(hole binary32 (* (pow x 3) (+ 1 (* x (- (* x (+ 7/4 (* -7/4 x))) 3/2))))))
#s(approx (pow (* x (/ x (+ 1 x))) 3) #s(hole binary32 (pow x 6)))
#s(approx (pow (* x (/ x (+ 1 x))) 3) #s(hole binary32 (* (pow x 6) (+ 1 (* -3 x)))))
#s(approx (pow (* x (/ x (+ 1 x))) 3) #s(hole binary32 (* (pow x 6) (+ 1 (* x (- (* 6 x) 3))))))
#s(approx (pow (* x (/ x (+ 1 x))) 3) #s(hole binary32 (* (pow x 6) (+ 1 (* x (- (* x (+ 6 (* -10 x))) 3))))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (pow x 2)))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- x 1))))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (/ x (+ 1 x)) #s(hole binary32 x))
#s(approx (/ x (+ 1 x)) #s(hole binary32 (* x (+ 1 (* -1 x)))))
#s(approx (/ x (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- x 1))))))
#s(approx (/ x (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (pow (log (+ 1 x)) 3) #s(hole binary32 (pow x 3)))
#s(approx (pow (log (+ 1 x)) 3) #s(hole binary32 (* (pow x 3) (+ 1 (* -3/2 x)))))
#s(approx (pow (log (+ 1 x)) 3) #s(hole binary32 (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2))))))
#s(approx (pow (log (+ 1 x)) 3) #s(hole binary32 (* (pow x 3) (+ 1 (* x (- (* x (+ 7/4 (* -15/8 x))) 3/2))))))
#s(approx (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))))) #s(hole binary32 (pow x 2)))
#s(approx (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))))) #s(hole binary32 (* (pow x 2) (+ 1 (* -3/2 x)))))
#s(approx (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))))) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* 23/12 x) 3/2))))))
#s(approx (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))))) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 23/12 (* -9/4 x))) 3/2))))))
#s(approx (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) #s(hole binary32 (* 1/4 (pow x 4))))
#s(approx (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) #s(hole binary32 (* (pow x 4) (+ 1/4 (* -1/2 x)))))
#s(approx (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) #s(hole binary32 (* (pow x 4) (+ 1/4 (* x (- (* 3/4 x) 1/2))))))
#s(approx (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) #s(hole binary32 (* (pow x 4) (+ 1/4 (* x (- (* x (+ 3/4 (* -1 x))) 1/2))))))
#s(approx (/ (* (* x x) 1/2) (+ 1 x)) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (/ (* (* x x) 1/2) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1/2 x)))))
#s(approx (/ (* (* x x) 1/2) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2))))))
#s(approx (/ (* (* x x) 1/2) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))))
#s(approx (* (* x x) 1/2) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))) #s(hole binary32 (pow x 2)))
#s(approx (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))) #s(hole binary32 (* (pow x 2) (+ 1 (* -3/2 x)))))
#s(approx (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* 5/3 x) 3/2))))))
#s(approx (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 5/3 (* -7/4 x))) 3/2))))))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary32 (pow x 2)))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1))))))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))))
#s(approx (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))) #s(hole binary32 (* 1/2 (pow x 3))))
#s(approx (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))) #s(hole binary32 (* (pow x 3) (+ 1/2 (* -3/4 x)))))
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#s(approx (pow (* x (/ x (+ 1 x))) 3) #s(hole binary32 (* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 1)))))
#s(approx (pow (* x (/ x (+ 1 x))) 3) #s(hole binary32 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 6 (/ 1 x)) 3) x)) 1)))))
#s(approx (pow (* x (/ x (+ 1 x))) 3) #s(hole binary32 (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 10 (/ 1 x)) 6) x)) 3) x)) 1)))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))))
#s(approx (/ x (+ 1 x)) #s(hole binary32 (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
#s(approx (/ x (+ 1 x)) #s(hole binary32 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
#s(approx (pow (log (+ 1 x)) 3) #s(hole binary32 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))
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#s(approx (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))) #s(hole binary32 (* -1/2 (* x (+ (log -1) (* -1 (log (/ -1 x))))))))
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#s(approx (pow (log (+ 1 x)) 2) #s(hole binary32 (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary32 (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))
#s(approx (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))) #s(hole binary32 (* 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x))))))))
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Calls

3 calls:

TimeVariablePointExpression
42.0ms
x
@inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (* 1/2 x) 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) 3/40 (* x x) 1/6 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (/ (* x x) (+ 1 x)) (+ 1 x) (log (+ 1 x)) (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) (+ (* (- (* 1/3 x) 1/2) x) 1) (- (* 1/3 x) 1/2) (* 1/3 x) 1/3 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (/ (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))))) (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) (pow (* x (/ x (+ 1 x))) 3) (* x (/ x (+ 1 x))) (/ x (+ 1 x)) 3 1/8 (pow (log (+ 1 x)) 3) (log (+ 1 x)) (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))))) (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (/ (* (* x x) 1/2) (+ 1 x)) (* (* x x) 1/2) 2 (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))) (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))))
17.0ms
x
@-inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (* 1/2 x) 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) 3/40 (* x x) 1/6 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (/ (* x x) (+ 1 x)) (+ 1 x) (log (+ 1 x)) (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) (+ (* (- (* 1/3 x) 1/2) x) 1) (- (* 1/3 x) 1/2) (* 1/3 x) 1/3 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (/ (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))))) (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) (pow (* x (/ x (+ 1 x))) 3) (* x (/ x (+ 1 x))) (/ x (+ 1 x)) 3 1/8 (pow (log (+ 1 x)) 3) (log (+ 1 x)) (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))))) (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (/ (* (* x x) 1/2) (+ 1 x)) (* (* x x) 1/2) 2 (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))) (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))))
7.0ms
x
@0
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (* 1/2 x) 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) 3/40 (* x x) 1/6 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (/ (* x x) (+ 1 x)) (+ 1 x) (log (+ 1 x)) (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) (+ (* (- (* 1/3 x) 1/2) x) 1) (- (* 1/3 x) 1/2) (* 1/3 x) 1/3 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (/ (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))))) (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) (pow (* x (/ x (+ 1 x))) 3) (* x (/ x (+ 1 x))) (/ x (+ 1 x)) 3 1/8 (pow (log (+ 1 x)) 3) (log (+ 1 x)) (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))))) (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (/ (* (* x x) 1/2) (+ 1 x)) (* (* x x) 1/2) 2 (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))) (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))))

rewrite485.0ms (10.7%)

Memory
21.6MiB live, 387.5MiB allocated; 132ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011978402
012637717
173927614
088087428
Stop Event
iter limit
node limit
iter limit
Counts
278 → 393
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x)))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))
(*.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
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(pow.f32 (log1p.f32 x) #s(literal 3 binary32))
(log1p.f32 x)
(+.f32 (pow.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x))))
(pow.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
(/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 x x) #s(literal 1/2 binary32))
#s(literal 2 binary32)
(-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x)))
(pow.f32 (log1p.f32 x) #s(literal 2 binary32))
(*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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)))))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))))
#s(approx x #s(hole binary32 x))
#s(approx (* 1/2 x) #s(hole binary32 (* 1/2 x)))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 -1/6))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (* 3/40 (* x x)) #s(hole binary32 (* 3/40 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (pow x 2)))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- x 1))))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (+ 1 x) #s(hole binary32 1))
#s(approx (+ 1 x) #s(hole binary32 (+ 1 x)))
#s(approx (log (+ 1 x)) #s(hole binary32 x))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 1))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 (+ 1 (* -1/2 x))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 (+ 1 (* x (- (* 1/3 x) 1/2)))))
#s(approx (- (* 1/3 x) 1/2) #s(hole binary32 -1/2))
#s(approx (- (* 1/3 x) 1/2) #s(hole binary32 (- (* 1/3 x) 1/2)))
#s(approx (* 1/3 x) #s(hole binary32 (* 1/3 x)))
#s(approx (/ (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))))) #s(hole binary32 x))
#s(approx (/ (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (/ (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (/ (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))))
#s(approx (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) #s(hole binary32 (pow x 3)))
#s(approx (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) #s(hole binary32 (* (pow x 3) (+ 1 (* -3/2 x)))))
#s(approx (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) #s(hole binary32 (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2))))))
#s(approx (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) #s(hole binary32 (* (pow x 3) (+ 1 (* x (- (* x (+ 7/4 (* -7/4 x))) 3/2))))))
#s(approx (pow (* x (/ x (+ 1 x))) 3) #s(hole binary32 (pow x 6)))
#s(approx (pow (* x (/ x (+ 1 x))) 3) #s(hole binary32 (* (pow x 6) (+ 1 (* -3 x)))))
#s(approx (pow (* x (/ x (+ 1 x))) 3) #s(hole binary32 (* (pow x 6) (+ 1 (* x (- (* 6 x) 3))))))
#s(approx (pow (* x (/ x (+ 1 x))) 3) #s(hole binary32 (* (pow x 6) (+ 1 (* x (- (* x (+ 6 (* -10 x))) 3))))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (pow x 2)))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- x 1))))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (/ x (+ 1 x)) #s(hole binary32 x))
#s(approx (/ x (+ 1 x)) #s(hole binary32 (* x (+ 1 (* -1 x)))))
#s(approx (/ x (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- x 1))))))
#s(approx (/ x (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (pow (log (+ 1 x)) 3) #s(hole binary32 (pow x 3)))
#s(approx (pow (log (+ 1 x)) 3) #s(hole binary32 (* (pow x 3) (+ 1 (* -3/2 x)))))
#s(approx (pow (log (+ 1 x)) 3) #s(hole binary32 (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2))))))
#s(approx (pow (log (+ 1 x)) 3) #s(hole binary32 (* (pow x 3) (+ 1 (* x (- (* x (+ 7/4 (* -15/8 x))) 3/2))))))
#s(approx (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))))) #s(hole binary32 (pow x 2)))
#s(approx (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))))) #s(hole binary32 (* (pow x 2) (+ 1 (* -3/2 x)))))
#s(approx (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))))) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* 23/12 x) 3/2))))))
#s(approx (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))))) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 23/12 (* -9/4 x))) 3/2))))))
#s(approx (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) #s(hole binary32 (* 1/4 (pow x 4))))
#s(approx (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) #s(hole binary32 (* (pow x 4) (+ 1/4 (* -1/2 x)))))
#s(approx (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) #s(hole binary32 (* (pow x 4) (+ 1/4 (* x (- (* 3/4 x) 1/2))))))
#s(approx (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) #s(hole binary32 (* (pow x 4) (+ 1/4 (* x (- (* x (+ 3/4 (* -1 x))) 1/2))))))
#s(approx (/ (* (* x x) 1/2) (+ 1 x)) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (/ (* (* x x) 1/2) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1/2 x)))))
#s(approx (/ (* (* x x) 1/2) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2))))))
#s(approx (/ (* (* x x) 1/2) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))))
#s(approx (* (* x x) 1/2) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))) #s(hole binary32 (pow x 2)))
#s(approx (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))) #s(hole binary32 (* (pow x 2) (+ 1 (* -3/2 x)))))
#s(approx (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* 5/3 x) 3/2))))))
#s(approx (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 5/3 (* -7/4 x))) 3/2))))))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary32 (pow x 2)))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1))))))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))))
#s(approx (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))) #s(hole binary32 (* 1/2 (pow x 3))))
#s(approx (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))) #s(hole binary32 (* (pow x 3) (+ 1/2 (* -3/4 x)))))
#s(approx (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))) #s(hole binary32 (* (pow x 3) (+ 1/2 (* x (- (* 11/12 x) 3/4))))))
#s(approx (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))) #s(hole binary32 (* (pow x 3) (+ 1/2 (* x (- (* x (+ 11/12 (* -25/24 x))) 3/4))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* 1/2 x)))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* 3/40 (pow x 5))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* 3/40 (pow x 4))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 (* 3/40 (pow x 2))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 x))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- 1 (/ 1 x)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))))
#s(approx (+ 1 x) #s(hole binary32 x))
#s(approx (+ 1 x) #s(hole binary32 (* x (+ 1 (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* 1/3 (pow x 3))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 (* 1/3 (pow x 2))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 (* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
#s(approx (- (* 1/3 x) 1/2) #s(hole binary32 (* 1/3 x)))
#s(approx (- (* 1/3 x) 1/2) #s(hole binary32 (* x (- 1/3 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))))) #s(hole binary32 (* 1/2 x)))
#s(approx (/ (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))))) #s(hole binary32 (* x (+ 1/2 (* -1 (/ (+ 3/2 (* -2 (+ 1/2 (* -1/2 (log (/ 1 x)))))) x))))))
#s(approx (/ (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))))) #s(hole binary32 (* x (- (+ 1/2 (/ 3 (pow x 2))) (+ (* -2 (/ (+ 1/2 (* -1/2 (log (/ 1 x)))) x)) (+ (* 2 (/ (- (+ 3/4 (pow (log (/ 1 x)) 2)) (* 1/2 (- 1 (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 4 (/ (* (+ 1/2 (* -1/2 (log (/ 1 x)))) (+ 3/2 (* -2 (+ 1/2 (* -1/2 (log (/ 1 x))))))) (pow x 2))) (* 3/2 (/ 1 x)))))))))
#s(approx (/ (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) (+ (pow (/ (* (* x x) 1/2) (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))))) #s(hole binary32 (* x (- (+ 1/2 (+ (* 4 (/ (- (* -1 (pow (log (/ 1 x)) 3)) 5/4) (pow x 3))) (/ 3 (pow x 2)))) (+ (* -4 (/ (* (+ 1/2 (* -1/2 (log (/ 1 x)))) (- 3 (+ (* 2 (- (+ 3/4 (pow (log (/ 1 x)) 2)) (* 1/2 (- 1 (* -1 (log (/ 1 x))))))) (* 4 (* (+ 1/2 (* -1/2 (log (/ 1 x)))) (+ 3/2 (* -2 (+ 1/2 (* -1/2 (log (/ 1 x))))))))))) (pow x 3))) (+ (* -4 (/ (* (+ 3/2 (* -2 (+ 1/2 (* -1/2 (log (/ 1 x)))))) (- (+ 3/4 (pow (log (/ 1 x)) 2)) (* 1/2 (- 1 (* -1 (log (/ 1 x))))))) (pow x 3))) (+ (* -2 (/ (+ 1/2 (* -1/2 (log (/ 1 x)))) x)) (+ (* 2 (/ (- (* -2 (log (/ 1 x))) (+ 1 (* 1/2 (- (* -1 (log (/ 1 x))) 3/2)))) (pow x 3))) (+ (* 2 (/ (- (+ 3/4 (pow (log (/ 1 x)) 2)) (* 1/2 (- 1 (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 4 (/ (* (+ 1/2 (* -1/2 (log (/ 1 x)))) (+ 3/2 (* -2 (+ 1/2 (* -1/2 (log (/ 1 x))))))) (pow x 2))) (* 3/2 (/ 1 x))))))))))))
#s(approx (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) #s(hole binary32 (* 1/8 (pow x 3))))
#s(approx (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) #s(hole binary32 (* (pow x 3) (- 1/8 (* 3/8 (/ 1 x))))))
#s(approx (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) #s(hole binary32 (* (pow x 3) (- (+ 1/8 (/ 3/4 (pow x 2))) (* 3/8 (/ 1 x))))))
#s(approx (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) #s(hole binary32 (* (pow x 3) (- (+ 1/8 (+ (* -1 (/ (pow (log (/ 1 x)) 3) (pow x 3))) (/ 3/4 (pow x 2)))) (+ (* 3/8 (/ 1 x)) (* 5/4 (/ 1 (pow x 3))))))))
#s(approx (pow (* x (/ x (+ 1 x))) 3) #s(hole binary32 (pow x 3)))
#s(approx (pow (* x (/ x (+ 1 x))) 3) #s(hole binary32 (* (pow x 3) (- 1 (* 3 (/ 1 x))))))
#s(approx (pow (* x (/ x (+ 1 x))) 3) #s(hole binary32 (* (pow x 3) (- (+ 1 (/ 6 (pow x 2))) (* 3 (/ 1 x))))))
#s(approx (pow (* x (/ x (+ 1 x))) 3) #s(hole binary32 (* (pow x 3) (- (+ 1 (/ 6 (pow x 2))) (+ (* 3 (/ 1 x)) (* 10 (/ 1 (pow x 3))))))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 x))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* x (- 1 (/ 1 x)))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))))
#s(approx (/ x (+ 1 x)) #s(hole binary32 1))
#s(approx (/ x (+ 1 x)) #s(hole binary32 (- 1 (/ 1 x))))
#s(approx (/ x (+ 1 x)) #s(hole binary32 (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))))
#s(approx (/ x (+ 1 x)) #s(hole binary32 (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))))
#s(approx (pow (log (+ 1 x)) 3) #s(hole binary32 (* -1 (pow (log (/ 1 x)) 3))))
#s(approx (pow (log (+ 1 x)) 3) #s(hole binary32 (+ (* -1 (pow (log (/ 1 x)) 3)) (+ (* 2 (/ (pow (log (/ 1 x)) 2) x)) (/ (pow (log (/ 1 x)) 2) x)))))
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Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x))
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(pow.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) x) #s(literal 3 binary32))
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(exp.f32 (*.f32 (-.f32 (log.f32 (*.f32 x x)) (log1p.f32 x)) #s(literal 3 binary32)))
(*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) x)
(*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x)))
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(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))
(/.f32 (neg.f32 x) (neg.f32 (+.f32 #s(literal 1 binary32) x)))
(/.f32 x (+.f32 #s(literal 1 binary32) x))
#s(literal 3 binary32)
#s(literal 1/8 binary32)
(log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) (pow.f32 (log1p.f32 x) #s(literal 2 binary32))))
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(*.f32 (log1p.f32 x) (pow.f32 (log1p.f32 x) #s(literal 2 binary32)))
(pow.f32 (log1p.f32 x) #s(literal 3 binary32))
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(exp.f32 (*.f32 (log.f32 (log1p.f32 x)) #s(literal 3 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) x))
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(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (log.f32 (-.f32 #s(literal 1 binary32) x)))
(log1p.f32 x)
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(pow.f32 (*.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) x) #s(literal 1/2 binary32)) #s(literal 2 binary32))
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(/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x))
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(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
(*.f32 x (*.f32 #s(literal 1/2 binary32) x))
#s(literal 2 binary32)
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(*.f32 (log1p.f32 x) (log1p.f32 x))
(pow.f32 (log1p.f32 x) #s(literal 2 binary32))
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(exp.f32 (*.f32 (log.f32 (log1p.f32 x)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) x) #s(literal 1/2 binary32))))
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(/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (log1p.f32 x)) (+.f32 #s(literal 1 binary32) x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 (fabs.f32 x)) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
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#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)
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#s(approx x x)
#s(approx (* 1/2 x) (*.f32 #s(literal 1/2 binary32) x))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) x)
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#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary32))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)))
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#s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32))
#s(approx (- (* 3/40 (* x x)) 1/6) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)))
#s(approx (* 3/40 (* x x)) (*.f32 (*.f32 x x) #s(literal 3/40 binary32)))
#s(approx (* x x) (*.f32 x x))
#s(approx (* x (/ x (+ 1 x))) (*.f32 x x))
#s(approx (* x (/ x (+ 1 x))) (*.f32 (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)) (*.f32 x x)))
#s(approx (* x (/ x (+ 1 x))) (*.f32 (fma.f32 (-.f32 x #s(literal 1 binary32)) x #s(literal 1 binary32)) (*.f32 x x)))
#s(approx (* x (/ x (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)) x) #s(literal 1 binary32)) x #s(literal 1 binary32)) (*.f32 x x)))
#s(approx (+ 1 x) #s(literal 1 binary32))
#s(approx (+ 1 x) (+.f32 #s(literal 1 binary32) x))
#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))
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#s(approx (+ (* (pow (* x (/ x (+ 1 x))) 3) 1/8) (pow (log (+ 1 x)) 3)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))) #s(literal 3 binary32)) #s(literal 5/4 binary32)) x)) #s(literal 3/4 binary32)) x)) #s(literal 3/8 binary32)) x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 3 binary32)))))
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#s(approx (* x (/ x (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
#s(approx (* x (/ x (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) #s(literal 1 binary32))))
#s(approx (* x (/ x (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) #s(literal 1 binary32)) x)) #s(literal 1 binary32))))
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#s(approx (/ x (+ 1 x)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x) #s(literal -1 binary32) #s(literal 1 binary32)) x) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (pow (log (+ 1 x)) 3) (pow.f32 (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))) #s(literal 3 binary32)))
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#s(approx (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))) (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))))))
#s(approx (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))) #s(literal 2 binary32)) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))) #s(literal 1/2 binary32))) x) #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))))))))
#s(approx (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (neg.f32 (-.f32 (-.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))) #s(literal 1/2 binary32))) x) #s(literal -1 binary32) (-.f32 (pow.f32 (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))) #s(literal 2 binary32)) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))) #s(literal 1/2 binary32)))) x) #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))))))))
#s(approx (- (pow (log (+ 1 x)) 2) (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x)))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1/3 binary32) (neg.f32 (-.f32 #s(literal 1/2 binary32) (neg.f32 (-.f32 (-.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))))) #s(literal 1/2 binary32))) x) #s(literal -1 binary32) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (neg.f32 (-.f32 (-.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))) #s(literal 1/2 binary32))) x) #s(literal -1 binary32) (-.f32 (pow.f32 (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))) #s(literal 2 binary32)) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))) #s(literal 1/2 binary32)))) x) #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))))))))
#s(approx (pow (log (+ 1 x)) 2) (pow.f32 (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))) #s(literal 2 binary32)))
#s(approx (pow (log (+ 1 x)) 2) (fma.f32 (/.f32 (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))) x) #s(literal 2 binary32) (pow.f32 (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))) #s(literal 2 binary32))))
#s(approx (pow (log (+ 1 x)) 2) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))) #s(literal -1 binary32) #s(literal 1 binary32)) x) #s(literal -1 binary32) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))) x) #s(literal -1 binary32) (pow.f32 (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))) #s(literal 2 binary32))))
#s(approx (pow (log (+ 1 x)) 2) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))) (/.f32 (fma.f32 (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))) #s(literal -2/3 binary32) #s(literal 1 binary32)) x)) #s(literal 1 binary32)) x) #s(literal -1 binary32) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))) x) #s(literal -1 binary32) (pow.f32 (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))) #s(literal 2 binary32))))
#s(approx (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))) (*.f32 (*.f32 #s(literal 1/2 binary32) x) (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))))))
#s(approx (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))) (*.f32 (neg.f32 x) (*.f32 #s(literal -1/2 binary32) (+.f32 (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))) x)))))
#s(approx (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))) (*.f32 (neg.f32 x) (fma.f32 (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))) #s(literal -1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (neg.f32 (-.f32 (-.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))) x) #s(literal -1/2 binary32) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))) #s(literal 1/2 binary32))) x)))))
#s(approx (* (/ (* (* x x) 1/2) (+ 1 x)) (log (+ 1 x))) (*.f32 (neg.f32 x) (fma.f32 (log.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))) #s(literal -1/2 binary32) (neg.f32 (/.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/3 binary32) (neg.f32 (-.f32 #s(literal 1/2 binary32) (neg.f32 (-.f32 (-.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))))) x) #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1/2 binary32) (neg.f32 (-.f32 (-.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))) #s(literal 1/2 binary32))) x))) x)))))

eval119.0ms (2.6%)

Memory
7.5MiB live, 143.5MiB allocated; 25ms collecting garbage
Compiler

Compiled 31 138 to 3 202 computations (89.7% saved)

prune107.0ms (2.3%)

Memory
-47.6MiB live, 49.5MiB allocated; 23ms collecting garbage
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New5413544
Fresh123
Picked235
Done033
Total54411555
Accuracy
100.0%
Counts
555 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
27.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
27.1%
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
99.5%
(copysign.f32 (asinh.f32 x) x)
9.7%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (* x (/ x (+ 1 x))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x)))) x)
54.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x)))) x)
54.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
54.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
55.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
20.2%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))) x)
55.7%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x)
Compiler

Compiled 413 to 268 computations (35.1% saved)

series35.0ms (0.8%)

Memory
32.4MiB live, 32.4MiB allocated; 0ms collecting garbage
Counts
45 → 196
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 x x)
x
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x))))
(fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x)))
(*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x))
(*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x)
(*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x)
(-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32))
(*.f32 (*.f32 x x) #s(literal 3/40 binary32))
#s(literal 3/40 binary32)
#s(literal 1/6 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))
(-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32))
(*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x))
(fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32))
#s(literal -5/112 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (* x (/ x (+ 1 x))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (* x (/ x (+ 1 x))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x))))
(fma.f32 #s(approx (* x (/ x (+ 1 x))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x)))
#s(approx (* x (/ x (+ 1 x))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x)
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) x)
#s(literal 1/2 binary32)
#s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x)
(fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32))
(-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/3 binary32) x)
#s(literal 1/3 binary32)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)
#s(approx (sqrt (+ (* x x) 1)) x)
Outputs
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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)))))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 -1/6))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx x #s(hole binary32 x))
#s(approx (+ (* x 1) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x))) #s(hole binary32 x))
#s(approx (+ (* x 1) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* x 1) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (* x (* (* (- (* (* x x) 3/40) 1/6) x) x)) #s(hole binary32 (* -1/6 (pow x 3))))
#s(approx (* x (* (* (- (* (* x x) 3/40) 1/6) x) x)) #s(hole binary32 (* (pow x 3) (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) #s(hole binary32 (* -1/6 (pow x 2))))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) #s(hole binary32 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (* (- (* (* x x) 3/40) 1/6) x) #s(hole binary32 (* -1/6 x)))
#s(approx (* (- (* (* x x) 3/40) 1/6) x) #s(hole binary32 (* x (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 -1/6))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (* (* x x) 3/40) #s(hole binary32 (* 3/40 (pow x 2))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 -1/6))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* 3/40 (pow x 2))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 3/40))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 (+ 3/40 (* -5/112 (pow x 2)))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 x))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (pow x 2)))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- x 1))))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary32 -1))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary32 (- x 1)))
#s(approx (- 1 (/ 1 x)) #s(hole binary32 (/ -1 x)))
#s(approx (- 1 (/ 1 x)) #s(hole binary32 (/ (- x 1) x)))
#s(approx (/ 1 x) #s(hole binary32 (/ 1 x)))
#s(approx (log (+ 1 x)) #s(hole binary32 x))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 1))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 (+ 1 (* -1/2 x))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 (+ 1 (* x (- (* 1/3 x) 1/2)))))
#s(approx (- (* 1/3 x) 1/2) #s(hole binary32 -1/2))
#s(approx (- (* 1/3 x) 1/2) #s(hole binary32 (- (* 1/3 x) 1/2)))
#s(approx (* 1/3 x) #s(hole binary32 (* 1/3 x)))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 1))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* 3/40 (pow x 5))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* 3/40 (pow x 4))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 (* 3/40 (pow x 2))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* x 1) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x))) #s(hole binary32 (* 3/40 (pow x 5))))
#s(approx (+ (* x 1) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x))) #s(hole binary32 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* x 1) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x))) #s(hole binary32 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* x (* (* (- (* (* x x) 3/40) 1/6) x) x)) #s(hole binary32 (* 3/40 (pow x 5))))
#s(approx (* x (* (* (- (* (* x x) 3/40) 1/6) x) x)) #s(hole binary32 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) #s(hole binary32 (* 3/40 (pow x 4))))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) #s(hole binary32 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (- (* (* x x) 3/40) 1/6) x) #s(hole binary32 (* 3/40 (pow x 3))))
#s(approx (* (- (* (* x x) 3/40) 1/6) x) #s(hole binary32 (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 (* 3/40 (pow x 2))))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -5/112 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* -5/112 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (* -5/112 (pow x 4))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* -5/112 (pow x 4))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 (* -5/112 (pow x 2))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 (* 1/2 x)))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 x))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* x (- 1 (/ 1 x)))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary32 x))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary32 (* x (- 1 (/ 1 x)))))
#s(approx (- 1 (/ 1 x)) #s(hole binary32 1))
#s(approx (- 1 (/ 1 x)) #s(hole binary32 (- 1 (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* 1/3 (pow x 3))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 (* 1/3 (pow x 2))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 (* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
#s(approx (- (* 1/3 x) 1/2) #s(hole binary32 (* 1/3 x)))
#s(approx (- (* 1/3 x) 1/2) #s(hole binary32 (* x (- 1/3 (* 1/2 (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* 2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))))
#s(approx (+ (* x 1) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x))) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
#s(approx (+ (* x 1) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x))) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))))
#s(approx (* x (* (* (- (* (* x x) 3/40) 1/6) x) x)) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
#s(approx (* (- (* (* x x) 3/40) 1/6) x) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2)))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary32 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 (* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))))
#s(approx (- (* 1/3 x) 1/2) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (/ -1/2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Calls

3 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (- (* 3/40 (* x x)) 1/6) -1/6 (* x x) x 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x 1) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x))) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x)) (* (* (- (* (* x x) 3/40) 1/6) x) x) (* (- (* (* x x) 3/40) 1/6) x) (- (* (* x x) 3/40) 1/6) (* (* x x) 3/40) 3/40 1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) (* x (/ x (+ 1 x))) (* (- 1 (/ 1 x)) x) (- 1 (/ 1 x)) (/ 1 x) 1/2 (log (+ 1 x)) (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) (+ (* (- (* 1/3 x) 1/2) x) 1) (- (* 1/3 x) 1/2) (* 1/3 x) 1/3 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)))
10.0ms
x
@inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (- (* 3/40 (* x x)) 1/6) -1/6 (* x x) x 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x 1) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x))) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x)) (* (* (- (* (* x x) 3/40) 1/6) x) x) (* (- (* (* x x) 3/40) 1/6) x) (- (* (* x x) 3/40) 1/6) (* (* x x) 3/40) 3/40 1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) (* x (/ x (+ 1 x))) (* (- 1 (/ 1 x)) x) (- 1 (/ 1 x)) (/ 1 x) 1/2 (log (+ 1 x)) (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) (+ (* (- (* 1/3 x) 1/2) x) 1) (- (* 1/3 x) 1/2) (* 1/3 x) 1/3 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)))
7.0ms
x
@0
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (- (* 3/40 (* x x)) 1/6) -1/6 (* x x) x 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x 1) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x))) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x)) (* (* (- (* (* x x) 3/40) 1/6) x) x) (* (- (* (* x x) 3/40) 1/6) x) (- (* (* x x) 3/40) 1/6) (* (* x x) 3/40) 3/40 1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) (* x (/ x (+ 1 x))) (* (- 1 (/ 1 x)) x) (- 1 (/ 1 x)) (/ 1 x) 1/2 (log (+ 1 x)) (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) (+ (* (- (* 1/3 x) 1/2) x) 1) (- (* 1/3 x) 1/2) (* 1/3 x) 1/3 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)))

rewrite454.0ms (10%)

Memory
-7.9MiB live, 331.5MiB allocated; 83ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06925121
07434623
136274379
083344213
Stop Event
iter limit
node limit
iter limit
Counts
241 → 351
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 x x)
x
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x))))
(fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x)))
(*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x))
(*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x)
(*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x)
(-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32))
(*.f32 (*.f32 x x) #s(literal 3/40 binary32))
#s(literal 3/40 binary32)
#s(literal 1/6 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))
(-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32))
(*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x))
(fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32))
#s(literal -5/112 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (* x (/ x (+ 1 x))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (* x (/ x (+ 1 x))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x))))
(fma.f32 #s(approx (* x (/ x (+ 1 x))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x)))
#s(approx (* x (/ x (+ 1 x))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x)
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) x)
#s(literal 1/2 binary32)
#s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x)
(fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32))
(-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/3 binary32) x)
#s(literal 1/3 binary32)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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)))))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 -1/6))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx x #s(hole binary32 x))
#s(approx (+ (* x 1) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x))) #s(hole binary32 x))
#s(approx (+ (* x 1) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* x 1) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (* x (* (* (- (* (* x x) 3/40) 1/6) x) x)) #s(hole binary32 (* -1/6 (pow x 3))))
#s(approx (* x (* (* (- (* (* x x) 3/40) 1/6) x) x)) #s(hole binary32 (* (pow x 3) (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) #s(hole binary32 (* -1/6 (pow x 2))))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) #s(hole binary32 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (* (- (* (* x x) 3/40) 1/6) x) #s(hole binary32 (* -1/6 x)))
#s(approx (* (- (* (* x x) 3/40) 1/6) x) #s(hole binary32 (* x (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 -1/6))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (* (* x x) 3/40) #s(hole binary32 (* 3/40 (pow x 2))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 -1/6))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* 3/40 (pow x 2))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 3/40))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 (+ 3/40 (* -5/112 (pow x 2)))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 x))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (pow x 2)))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- x 1))))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary32 -1))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary32 (- x 1)))
#s(approx (- 1 (/ 1 x)) #s(hole binary32 (/ -1 x)))
#s(approx (- 1 (/ 1 x)) #s(hole binary32 (/ (- x 1) x)))
#s(approx (/ 1 x) #s(hole binary32 (/ 1 x)))
#s(approx (log (+ 1 x)) #s(hole binary32 x))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 1))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 (+ 1 (* -1/2 x))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 (+ 1 (* x (- (* 1/3 x) 1/2)))))
#s(approx (- (* 1/3 x) 1/2) #s(hole binary32 -1/2))
#s(approx (- (* 1/3 x) 1/2) #s(hole binary32 (- (* 1/3 x) 1/2)))
#s(approx (* 1/3 x) #s(hole binary32 (* 1/3 x)))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 1))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole 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))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* 3/40 (pow x 5))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* 3/40 (pow x 4))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 (* 3/40 (pow x 2))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* x 1) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x))) #s(hole binary32 (* 3/40 (pow x 5))))
#s(approx (+ (* x 1) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x))) #s(hole binary32 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* x 1) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x))) #s(hole binary32 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* x (* (* (- (* (* x x) 3/40) 1/6) x) x)) #s(hole binary32 (* 3/40 (pow x 5))))
#s(approx (* x (* (* (- (* (* x x) 3/40) 1/6) x) x)) #s(hole binary32 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) #s(hole binary32 (* 3/40 (pow x 4))))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) #s(hole binary32 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (- (* (* x x) 3/40) 1/6) x) #s(hole binary32 (* 3/40 (pow x 3))))
#s(approx (* (- (* (* x x) 3/40) 1/6) x) #s(hole binary32 (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 (* 3/40 (pow x 2))))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -5/112 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* -5/112 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (* -5/112 (pow x 4))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* -5/112 (pow x 4))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 (* -5/112 (pow x 2))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 (* 1/2 x)))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 x))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* x (- 1 (/ 1 x)))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary32 x))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary32 (* x (- 1 (/ 1 x)))))
#s(approx (- 1 (/ 1 x)) #s(hole binary32 1))
#s(approx (- 1 (/ 1 x)) #s(hole binary32 (- 1 (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* 1/3 (pow x 3))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 (* 1/3 (pow x 2))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 (* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
#s(approx (- (* 1/3 x) 1/2) #s(hole binary32 (* 1/3 x)))
#s(approx (- (* 1/3 x) 1/2) #s(hole binary32 (* x (- 1/3 (* 1/2 (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* 2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))))
#s(approx (+ (* x 1) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x))) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
#s(approx (+ (* x 1) (* x (* (* (- (* (* x x) 3/40) 1/6) x) x))) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))))
#s(approx (* x (* (* (- (* (* x x) 3/40) 1/6) x) x)) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
#s(approx (* (- (* (* x x) 3/40) 1/6) x) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2)))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))))
#s(approx (* x (/ x (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary32 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) #s(hole binary32 (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) #s(hole binary32 (* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))))
#s(approx (- (* 1/3 x) 1/2) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (/ -1/2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (*.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (*.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (*.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)) x)
(*.f32 x (fma.f32 (*.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) x) x) #s(literal 1 binary32)))
(/.f32 (fma.f32 (pow.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 (*.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) x) x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) x) x) #s(literal 1 binary32)))))
(fma.f32 (*.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32))
(fma.f32 (*.f32 x x) #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) x) x) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) x) x))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 x x)
(sqrt.f32 (pow.f32 x #s(literal 4 binary32)))
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 (*.f32 x x) #s(literal 1 binary32))
(pow.f32 x #s(literal 2 binary32))
(fabs.f32 (*.f32 (neg.f32 x) x))
(fabs.f32 (*.f32 x (neg.f32 x)))
(fabs.f32 (*.f32 x x))
(+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))
(exp.f32 (+.f32 #s(literal 0 binary32) (*.f32 (log.f32 x) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 x) #s(literal 2 binary32) #s(literal 0 binary32)))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
x
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) x x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) x x))
(*.f32 (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x #s(literal 1 binary32)) x)
(*.f32 x (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) x) #s(literal 2 binary32))) (-.f32 x (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) x)))
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#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (*.f32 (-.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32) (pow.f32 x #s(literal -6 binary32))) #s(literal 5/112 binary32)) (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 7 binary32))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -5/112 binary32)))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (*.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32)) #s(literal 5/112 binary32))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (*.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32)) #s(literal 5/112 binary32)) (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (*.f32 (-.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32) (pow.f32 x #s(literal -6 binary32))) #s(literal 5/112 binary32)) (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 6 binary32))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -5/112 binary32)))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (*.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32)) #s(literal 5/112 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (*.f32 (-.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32)) #s(literal 5/112 binary32)) (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -5/112 binary32)))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (*.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32)) #s(literal 5/112 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ (* -5/112 (* x x)) 3/40) (*.f32 (*.f32 x x) #s(literal -5/112 binary32)))
#s(approx (+ (* -5/112 (* x x)) 3/40) (*.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32)) #s(literal 5/112 binary32)) (*.f32 x x)))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (log.f32 x) #s(literal 1/2 binary32)) x)) x))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 (log.f32 x) x) #s(literal 1/2 binary32)) (/.f32 #s(literal 3/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) x)) x))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) (*.f32 (-.f32 (-.f32 (+.f32 (+.f32 (/.f32 (log.f32 x) x) #s(literal 1/2 binary32)) (/.f32 #s(literal 3/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) x)) (pow.f32 x #s(literal -3 binary32))) x))
#s(approx (* x (/ x (+ 1 x))) x)
#s(approx (* x (/ x (+ 1 x))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))
#s(approx (* x (/ x (+ 1 x))) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x)) x))
#s(approx (* x (/ x (+ 1 x))) (*.f32 (-.f32 (-.f32 (+.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x)) (pow.f32 x #s(literal -3 binary32))) x))
#s(approx (* (- 1 (/ 1 x)) x) x)
#s(approx (* (- 1 (/ 1 x)) x) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))
#s(approx (- 1 (/ 1 x)) #s(literal 1 binary32))
#s(approx (- 1 (/ 1 x)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
#s(approx (log (+ 1 x)) (log.f32 x))
#s(approx (log (+ 1 x)) (+.f32 (log.f32 x) (/.f32 #s(literal 1 binary32) x)))
#s(approx (log (+ 1 x)) (-.f32 (+.f32 (log.f32 x) (/.f32 #s(literal 1 binary32) x)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))))
#s(approx (log (+ 1 x)) (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) x)) (log.f32 x)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32)))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) (*.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) x)) (pow.f32 x #s(literal 3 binary32))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/3 binary32)) (/.f32 #s(literal 1/2 binary32) x)) (pow.f32 x #s(literal 3 binary32))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) (*.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x)))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/3 binary32)) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x)))
#s(approx (- (* 1/3 x) 1/2) (*.f32 #s(literal 1/3 binary32) x))
#s(approx (- (* 1/3 x) 1/2) (*.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) x)) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (*.f32 #s(literal 2 binary32) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 x)) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 x)) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) (fma.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal -6 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 #s(literal 2 binary32) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 2 binary32)) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 (neg.f32 x) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -1/2 binary32) x) x) #s(literal -1 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1/2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -3 binary32) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32))) x) #s(literal -1/6 binary32))) x) #s(literal -1 binary32) x) x) #s(literal -1 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (neg.f32 (*.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32)) #s(literal 3/40 binary32)) (pow.f32 x #s(literal 5 binary32)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (neg.f32 (*.f32 (-.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32)) #s(literal 3/40 binary32)) (pow.f32 x #s(literal -4 binary32))) (pow.f32 x #s(literal 5 binary32)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (neg.f32 (*.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32)) #s(literal 3/40 binary32)) (pow.f32 x #s(literal 5 binary32)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (neg.f32 (*.f32 (-.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32)) #s(literal 3/40 binary32)) (pow.f32 x #s(literal -4 binary32))) (pow.f32 x #s(literal 5 binary32)))))
#s(approx (* x (* (* (- (* (* x x) 3/40) 1/6) x) x)) (neg.f32 (*.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32)) #s(literal 3/40 binary32)) (pow.f32 x #s(literal 5 binary32)))))
#s(approx (* (- (* (* x x) 3/40) 1/6) x) (*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32)) #s(literal 3/40 binary32))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (neg.f32 (*.f32 (-.f32 #s(literal 5/112 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32))) (pow.f32 x #s(literal 7 binary32)))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (neg.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 5/112 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32))) (pow.f32 x #s(literal 7 binary32)))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (neg.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 5/112 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32) (pow.f32 x #s(literal -6 binary32)))) (pow.f32 x #s(literal 7 binary32)))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (log.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 #s(literal 3/2 binary32) x)) (log.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32))))
#s(approx (+ (* (* x (/ x (+ 1 x))) 1/2) (log (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 3/2 binary32)) x)) (log.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32))))
#s(approx (* x (/ x (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
#s(approx (* x (/ x (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) #s(literal 1 binary32))))
#s(approx (* x (/ x (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) #s(literal 1 binary32)) x)) #s(literal 1 binary32))))
#s(approx (* (- 1 (/ 1 x)) x) (*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
#s(approx (log (+ 1 x)) (log.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))))
#s(approx (log (+ 1 x)) (+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) (log.f32 #s(literal -1 binary32))))
#s(approx (log (+ 1 x)) (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) x)) (log.f32 #s(literal -1 binary32))))
#s(approx (log (+ 1 x)) (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x)) #s(literal 1 binary32)) x)) (log.f32 #s(literal -1 binary32))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) (*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/3 binary32))))
#s(approx (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) (*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)) x)) #s(literal 1/3 binary32))))
#s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) x) #s(literal -1 binary32) #s(literal 1/3 binary32)) (*.f32 x x)))
#s(approx (- (* 1/3 x) 1/2) (*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/3 binary32))))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal -6 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (fma.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal -6 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32)))) x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32))))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))

eval95.0ms (2.1%)

Memory
10.6MiB live, 100.1MiB allocated; 15ms collecting garbage
Compiler

Compiled 17 320 to 2 374 computations (86.3% saved)

prune51.0ms (1.1%)

Memory
-28.0MiB live, 67.0MiB allocated; 25ms collecting garbage
Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New4565461
Fresh000
Picked325
Done066
Total45913472
Accuracy
100.0%
Counts
472 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
27.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
27.1%
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
99.5%
(copysign.f32 (asinh.f32 x) x)
7.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (* x (/ x (+ 1 x))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) x) #s(literal -1 binary32) #s(literal 1/3 binary32)) (*.f32 x x))) x)))) x)
9.7%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (* x (/ x (+ 1 x))) #s(approx (* (- 1 (/ 1 x)) x) (-.f32 x #s(literal 1 binary32)))) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x)))) x)
55.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (*.f32 #s(literal -1/6 binary32) x)) x)))) x)
54.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
54.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32)) x) x) #s(literal 1/6 binary32)) x) x #s(literal 1 binary32)) x)) x)
55.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
10.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 #s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (*.f32 (-.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32) (pow.f32 x #s(literal -6 binary32))) #s(literal 5/112 binary32)) (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 6 binary32)))) x)) x)
20.2%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))) x)
55.7%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x)
Compiler

Compiled 1 050 to 450 computations (57.1% saved)

regimes22.0ms (0.5%)

Memory
38.5MiB live, 38.5MiB allocated; 0ms collecting garbage
Counts
22 → 1
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (*.f32 #s(literal -1/6 binary32) x)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (* x (/ x (+ 1 x))) #s(approx (* (- 1 (/ 1 x)) x) (-.f32 x #s(literal 1 binary32)))) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32)) x) x) #s(literal 1/6 binary32)) x) x #s(literal 1 binary32)) x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (* x (/ x (+ 1 x))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (* x (/ x (+ 1 x))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) x) #s(literal -1 binary32) #s(literal 1/3 binary32)) (*.f32 x x))) x)))) x)
(copysign.f32 (asinh.f32 x) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 #s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (*.f32 (-.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32) (pow.f32 x #s(literal -6 binary32))) #s(literal 5/112 binary32)) (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 6 binary32)))) x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (/.f32 (fma.f32 (pow.f32 (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (log1p.f32 x) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x)))))) x)
Outputs
(copysign.f32 (asinh.f32 x) x)
Calls

2 calls:

11.0ms
x
9.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
99.5%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
99.5%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes22.0ms (0.5%)

Memory
-21.8MiB live, 22.0MiB allocated; 12ms collecting garbage
Accuracy

Total -15.5b remaining (-109.7%)

Threshold costs -15.5b (-109.7%)

Counts
13 → 1
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (*.f32 #s(literal -1/6 binary32) x)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (* x (/ x (+ 1 x))) #s(approx (* (- 1 (/ 1 x)) x) (-.f32 x #s(literal 1 binary32)))) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32)) x) x) #s(literal 1/6 binary32)) x) x #s(literal 1 binary32)) x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (* x (/ x (+ 1 x))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (* x (/ x (+ 1 x))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 #s(approx (+ (* (- (* 1/3 x) 1/2) x) 1) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) x) #s(literal -1 binary32) #s(literal 1/3 binary32)) (*.f32 x x))) x)))) x)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x)
Calls

2 calls:

14.0ms
x
6.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
55.7%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
55.7%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify84.0ms (1.8%)

Memory
6.0MiB live, 51.1MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01933
13433
28033
322933
448033
583233
6376433
7701333
Stop Event
node limit
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 x) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x)
Outputs
(copysign.f32 (asinh.f32 x) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x)

derivations150.0ms (3.3%)

Memory
-15.0MiB live, 125.8MiB allocated; 49ms collecting garbage
Stop Event
fuel
Compiler

Compiled 33 to 19 computations (42.4% saved)

preprocess36.0ms (0.8%)

Memory
3.2MiB live, 47.9MiB allocated; 13ms collecting garbage
Compiler

Compiled 130 to 76 computations (41.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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