Rust f32::asinh

Time bar (total: 1.5s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB 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)

sample330.0ms (21.3%)

Memory
5.3MiB live, 105.1MiB allocated; 6ms collecting garbage
Samples
224.0ms8 256×42valid
Precisions
Click to see histograms. Total time spent on operations: 123.0ms
ival-asinh: 116.0ms (94.5% of total)
adjust: 7.0ms (5.7% of total)
Bogosity

explain128.0ms (8.2%)

Memory
1.2MiB live, 61.1MiB allocated; 3ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1220-1(-0.029694996774196625)(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
650-0-(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)))))sensitivity1202
sqrt.f32(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))oflow-rescue650
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow65
(*.f32 x x)overflow65
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))overflow65
(*.f32 x x)overflow65
Confusion
Predicted +Predicted -
+1851
-070
Precision
1.0
Recall
0.9946236559139785
Confusion?
Predicted +Predicted MaybePredicted -
+18510
-0169
Precision?
0.9946524064171123
Recall?
1.0
Freqs
test
numberfreq
071
1184
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
22.0ms302×42valid
21.0ms108×168valid
14.0ms102×84valid
Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-hypot: 14.0ms (32.7% of total)
ival-log: 12.0ms (28% of total)
ival-copysign: 6.0ms (14% of total)
ival-add!: 4.0ms (9.3% of total)
ival-mult!: 4.0ms (9.3% of total)
ival-fabs: 3.0ms (7% of total)
adjust: 1.0ms (2.3% of total)

preprocess141.0ms (9.1%)

Memory
-2.2MiB live, 34.2MiB allocated; 5ms 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
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.5%
(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)

series6.0ms (0.4%)

Memory
2.6MiB live, 2.6MiB 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
2.0ms
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)
2.0ms
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)
2.0ms
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)

rewrite148.0ms (9.6%)

Memory
4.6MiB live, 51.4MiB allocated; 9ms 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)))))

eval11.0ms (0.7%)

Memory
0.8MiB live, 8.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 180 to 626 computations (71.3% saved)

prune4.0ms (0.3%)

Memory
-1.8MiB live, 5.9MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1036109
Fresh000
Picked101
Done000
Total1046110
Accuracy
100.0%
Counts
110 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.1%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
28.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
18.3%
(copysign.f32 (log.f32 #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)))) x)
99.6%
(copysign.f32 (asinh.f32 x) x)
51.5%
(copysign.f32 #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))) x)
51.5%
(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) (log1p.f32 x))) x)
Compiler

Compiled 262 to 172 computations (34.4% saved)

series12.0ms (0.8%)

Memory
-1.3MiB live, 6.3MiB allocated; 1ms collecting garbage
Counts
32 → 120
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 #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 binary32)
#s(literal 1/2 binary32)
(log1p.f32 x)
(copysign.f32 (log.f32 #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)))) x)
(log.f32 #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) (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)))
(+.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))
(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)
(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 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32))
(*.f32 #s(literal 1/16 binary32) (*.f32 x x))
#s(literal 1/16 binary32)
#s(literal 1/8 binary32)
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 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 (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 1))
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (+ 1 x)))
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 x))
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* x (+ 1 (* 1/2 x)))))
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* x (+ 1 (* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 (+ 1/2 (* -1/8 (pow x 2)))))
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
#s(approx (- (* 1/16 (* x x)) 1/8) #s(hole binary32 -1/8))
#s(approx (- (* 1/16 (* x x)) 1/8) #s(hole binary32 (- (* 1/16 (pow x 2)) 1/8)))
#s(approx (* 1/16 (* x x)) #s(hole binary32 (* 1/16 (pow x 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 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 (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (* 1/16 (pow x 6))))
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* 1/16 (pow x 6))))
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 (* 1/16 (pow x 4))))
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 (* (pow x 4) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/16 (* x x)) 1/8) #s(hole binary32 (* 1/16 (pow x 2))))
#s(approx (- (* 1/16 (* x x)) 1/8) #s(hole binary32 (* (pow x 2) (- 1/16 (* 1/8 (/ 1 (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
4.0ms
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)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (/ (* x x) (+ 1 x)) (* x x) (+ 1 x) 1 1/2 (log (+ 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (- (* 1/16 (* x x)) 1/8) (* 1/16 (* x x)) 1/16 1/8)
3.0ms
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)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (/ (* x x) (+ 1 x)) (* x x) (+ 1 x) 1 1/2 (log (+ 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (- (* 1/16 (* x x)) 1/8) (* 1/16 (* x x)) 1/16 1/8)
3.0ms
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)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (/ (* x x) (+ 1 x)) (* x x) (+ 1 x) 1 1/2 (log (+ 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (- (* 1/16 (* x x)) 1/8) (* 1/16 (* x x)) 1/16 1/8)

rewrite161.0ms (10.4%)

Memory
-0.8MiB live, 49.8MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05373080
05722695
132002528
087732456
Stop Event
iter limit
node limit
iter limit
Counts
152 → 249
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 #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 binary32)
#s(literal 1/2 binary32)
(log1p.f32 x)
(copysign.f32 (log.f32 #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)))) x)
(log.f32 #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) (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)))
(+.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))
(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)
(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 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32))
(*.f32 #s(literal 1/16 binary32) (*.f32 x x))
#s(literal 1/16 binary32)
#s(literal 1/8 binary32)
#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 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 (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 1))
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (+ 1 x)))
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 x))
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* x (+ 1 (* 1/2 x)))))
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* x (+ 1 (* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 (+ 1/2 (* -1/8 (pow x 2)))))
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
#s(approx (- (* 1/16 (* x x)) 1/8) #s(hole binary32 -1/8))
#s(approx (- (* 1/16 (* x x)) 1/8) #s(hole binary32 (- (* 1/16 (pow x 2)) 1/8)))
#s(approx (* 1/16 (* x x)) #s(hole binary32 (* 1/16 (pow x 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 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 (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (* 1/16 (pow x 6))))
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* 1/16 (pow x 6))))
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 (* 1/16 (pow x 4))))
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 (* (pow x 4) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/16 (* x x)) 1/8) #s(hole binary32 (* 1/16 (pow x 2))))
#s(approx (- (* 1/16 (* x x)) 1/8) #s(hole binary32 (* (pow x 2) (- 1/16 (* 1/8 (/ 1 (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 (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)))))
(-.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)
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 (-.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 (-.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 #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)))
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#s(approx (+ 1 x) x)
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#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32)))
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) (*.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (pow.f32 x #s(literal 6 binary32))))
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/16 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (pow.f32 x #s(literal 6 binary32))))
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/16 binary32)) (pow.f32 x #s(literal -5 binary32))) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (pow.f32 x #s(literal 6 binary32))))
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32)))
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) (*.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (pow.f32 x #s(literal 6 binary32))))
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/16 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (pow.f32 x #s(literal 6 binary32))))
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/16 binary32)) (pow.f32 x #s(literal -5 binary32))) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (pow.f32 x #s(literal 6 binary32))))
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/16 binary32)))
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (*.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/16 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (* 1/16 (* x x)) 1/8) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))
#s(approx (- (* 1/16 (* x x)) 1/8) (*.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (*.f32 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)))) (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))))
#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)))))
#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))))

eval31.0ms (2%)

Memory
-1.4MiB live, 22.0MiB allocated; 2ms collecting garbage
Compiler

Compiled 10 748 to 1 663 computations (84.5% saved)

prune7.0ms (0.5%)

Memory
-1.7MiB live, 14.2MiB allocated; 1ms collecting garbage
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3147321
Fresh101
Picked325
Done000
Total3189327
Accuracy
100.0%
Counts
327 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.1%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
25.8%
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
99.6%
(copysign.f32 (asinh.f32 x) x)
53.6%
(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)
53.6%
(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)
53.5%
(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)
52.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))) x)
19.8%
(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)
54.0%
(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 405 to 260 computations (35.8% saved)

series12.0ms (0.8%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Counts
32 → 76
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 #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(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32))
#s(literal -1/6 binary32)
(*.f32 x x)
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))
(-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32))
(*.f32 #s(literal 1/4 binary32) x)
#s(literal 1/4 binary32)
#s(literal 1/6 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)
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 (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6)))))
#s(approx (- (* 1/4 x) 1/6) #s(hole binary32 -1/6))
#s(approx (- (* 1/4 x) 1/6) #s(hole binary32 (- (* 1/4 x) 1/6)))
#s(approx (* 1/4 x) #s(hole binary32 (* 1/4 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 (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 (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* -1/6 (pow x 3))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 (* -1/6 (pow x 2))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* 1/4 (pow x 4))))
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 4) (- 1/4 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 4) (- (+ 1/4 (/ 1 (pow x 3))) (* 1/6 (/ 1 x))))))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (* 1/4 (pow x 3))))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 3) (- 1/4 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 3) (- (+ 1/4 (/ 1 (pow x 3))) (* 1/6 (/ 1 x))))))
#s(approx (- (* 1/4 x) 1/6) #s(hole binary32 (* 1/4 x)))
#s(approx (- (* 1/4 x) 1/6) #s(hole binary32 (* x (- 1/4 (* 1/6 (/ 1 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 (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 (+ (* (/ (* 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 (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 4) (+ 1/4 (* -1 (/ (- 1/6 (/ 1 (pow x 2))) x))))))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/4)))))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/6) x)) 1/4)))))
#s(approx (- (* 1/4 x) 1/6) #s(hole binary32 (* -1 (* x (- (* 1/6 (/ 1 x)) 1/4)))))
#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))))))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
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)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) 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))) (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) (- (* 1/4 x) 1/6) (* 1/4 x) 1/4 1/6 (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)
3.0ms
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)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) 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))) (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) (- (* 1/4 x) 1/6) (* 1/4 x) 1/4 1/6 (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)
2.0ms
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)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) 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))) (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) (- (* 1/4 x) 1/6) (* 1/4 x) 1/4 1/6 (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)

rewrite148.0ms (9.5%)

Memory
-3.1MiB live, 52.4MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03402258
03692050
117691890
087271803
Stop Event
iter limit
node limit
iter limit
Counts
108 → 210
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 #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(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32))
#s(literal -1/6 binary32)
(*.f32 x x)
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))
(-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32))
(*.f32 #s(literal 1/4 binary32) x)
#s(literal 1/4 binary32)
#s(literal 1/6 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)
#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 (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6)))))
#s(approx (- (* 1/4 x) 1/6) #s(hole binary32 -1/6))
#s(approx (- (* 1/4 x) 1/6) #s(hole binary32 (- (* 1/4 x) 1/6)))
#s(approx (* 1/4 x) #s(hole binary32 (* 1/4 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 (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 (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* -1/6 (pow x 3))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 (* -1/6 (pow x 2))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* 1/4 (pow x 4))))
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 4) (- 1/4 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 4) (- (+ 1/4 (/ 1 (pow x 3))) (* 1/6 (/ 1 x))))))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (* 1/4 (pow x 3))))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 3) (- 1/4 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 3) (- (+ 1/4 (/ 1 (pow x 3))) (* 1/6 (/ 1 x))))))
#s(approx (- (* 1/4 x) 1/6) #s(hole binary32 (* 1/4 x)))
#s(approx (- (* 1/4 x) 1/6) #s(hole binary32 (* x (- 1/4 (* 1/6 (/ 1 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 (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 (+ (* (/ (* 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 (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 4) (+ 1/4 (* -1 (/ (- 1/6 (/ 1 (pow x 2))) x))))))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/4)))))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/6) x)) 1/4)))))
#s(approx (- (* 1/4 x) 1/6) #s(hole binary32 (* -1 (* x (- (* 1/6 (/ 1 x)) 1/4)))))
#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))))))))
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))
#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)
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)) x)
(*.f32 x (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 x #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1 binary32) x) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 1 binary32) x) (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x)) (*.f32 (*.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x)))))
(fma.f32 #s(literal 1 binary32) x (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x))
(fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
(+.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
(+.f32 (*.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 x x))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))
(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (/.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 x x)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) x) x #s(literal 1 binary32))
(fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) (/.f32 (*.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))))
(+.f32 (/.f32 (*.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
(+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #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 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)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(*.f32 x (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 x #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x)) #s(literal 3 binary32))) (fma.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x)) (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x))) (*.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x))))))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1 binary32) x) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) x) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 1 binary32) x) (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) x) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) x)) (*.f32 (*.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) x)))))
(fma.f32 #s(literal 1 binary32) x (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) x))
(fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x)))
(+.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x)))
(+.f32 (*.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) x))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (neg.f32 (*.f32 x x)) (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (neg.f32 (*.f32 x x)) (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32))) (*.f32 (neg.f32 (*.f32 x x)) (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 x x)) (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x))))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x)))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x)))))
(/.f32 (fma.f32 (pow.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #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 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x))) (/.f32 (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x))))
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 x x)) (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32))))
(fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x #s(literal 1 binary32))
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#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f32 (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)) x))
#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary32))
#s(approx (+ (* -1/6 (* x x)) 1) (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* x x) (*.f32 x x))
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) x)
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) (*.f32 (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)) x))
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(literal 1 binary32))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (- (* 1/4 x) 1/6) #s(literal -1/6 binary32))
#s(approx (- (* 1/4 x) 1/6) (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)))
#s(approx (* 1/4 x) (*.f32 #s(literal 1/4 binary32) x))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) x)
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (*.f32 (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)) x))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#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 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #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(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 (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 (fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 1 binary32)) x) (/.f32 #s(literal 1/2 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 (fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 1 binary32)) x) (/.f32 #s(literal 1/2 binary32) x) (/.f32 x x))) (log.f32 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 (* (+ (* -1/6 (* x x)) 1) x) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f32 (-.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32)) (pow.f32 x #s(literal 3 binary32))))
#s(approx (+ (* -1/6 (* x x)) 1) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
#s(approx (+ (* -1/6 (* x x)) 1) (*.f32 (-.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)))
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/4 binary32)))
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/6 binary32) x)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/6 binary32) x)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/4 binary32)))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/6 binary32) x)) (pow.f32 x #s(literal 3 binary32))))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/6 binary32) x)) (pow.f32 x #s(literal 3 binary32))))
#s(approx (- (* 1/4 x) 1/6) (*.f32 #s(literal 1/4 binary32) x))
#s(approx (- (* 1/4 x) 1/6) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/6 binary32) x)) x))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 3/40 binary32)))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (*.f32 (-.f32 #s(literal 3/40 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32))) (pow.f32 x #s(literal 5 binary32))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 3/40 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32))) (pow.f32 x #s(literal 5 binary32))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 3/40 binary32)))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (*.f32 (-.f32 #s(literal 3/40 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 3/40 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (* 3/40 (* x x)) 1/6) (*.f32 (*.f32 x x) #s(literal 3/40 binary32)))
#s(approx (- (* 3/40 (* x x)) 1/6) (*.f32 (-.f32 #s(literal 3/40 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32))) (*.f32 x 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) (neg.f32 (/.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 (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (neg.f32 (*.f32 (-.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)) x)))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (neg.f32 (*.f32 (-.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)) x)))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (neg.f32 (*.f32 (-.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)) x)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (neg.f32 (*.f32 (-.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal -2 binary32))) (pow.f32 x #s(literal 3 binary32)))))
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal -2 binary32))) x) #s(literal -1 binary32) #s(literal 1/4 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) x) #s(literal 1/4 binary32)) (pow.f32 x #s(literal 3 binary32)))))
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32)) x)) #s(literal 1/4 binary32)) (pow.f32 x #s(literal 3 binary32)))))
#s(approx (- (* 1/4 x) 1/6) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) x) #s(literal 1/4 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)))))

eval24.0ms (1.5%)

Memory
5.1MiB live, 19.9MiB allocated; 1ms collecting garbage
Compiler

Compiled 10 959 to 1 409 computations (87.1% saved)

prune13.0ms (0.8%)

Memory
-1.6MiB live, 15.0MiB allocated; 1ms collecting garbage
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New2832285
Fresh022
Picked145
Done022
Total28410294
Accuracy
100.0%
Counts
294 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.1%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
25.8%
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
99.6%
(copysign.f32 (asinh.f32 x) x)
53.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) x)
53.6%
(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)
53.6%
(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)
53.5%
(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)
53.6%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32)) x)) x)
19.8%
(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)
54.0%
(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 223 to 148 computations (33.6% saved)

series12.0ms (0.8%)

Memory
0.2MiB live, 8.0MiB allocated; 0ms collecting garbage
Counts
31 → 121
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (+.f32 (*.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 (+.f32 (*.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 (*.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 (*.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))
(*.f32 x x)
x
#s(literal 3/40 binary32)
#s(literal 1/6 binary32)
#s(literal 1 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 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))
(fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
(*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
#s(literal -1/6 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 (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) #s(hole binary32 1))
#s(approx (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 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 (* x x) #s(hole binary32 (pow x 2)))
#s(approx 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))
#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 1) (* x (* (* x x) -1/6))) #s(hole binary32 x))
#s(approx (+ (* x 1) (* x (* (* x x) -1/6))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* x (* (* x x) -1/6)) #s(hole binary32 (* -1/6 (pow x 3))))
#s(approx (* (* x x) -1/6) #s(hole binary32 (* -1/6 (pow x 2))))
#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 (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) #s(hole binary32 (* 3/40 (pow x 5))))
#s(approx (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) 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) 1) x) #s(hole binary32 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) #s(hole binary32 (* 3/40 (pow x 4))))
#s(approx (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) #s(hole binary32 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (- (* (* x x) 3/40) 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 (* (* (- (* (* 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 1) (* x (* (* x x) -1/6))) #s(hole binary32 (* -1/6 (pow x 3))))
#s(approx (+ (* x 1) (* x (* (* x x) -1/6))) #s(hole binary32 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#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 (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) 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) 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 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 1) (* x (* (* x x) -1/6))) #s(hole binary32 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#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
4.0ms
x
@inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) (* (* (- (* (* 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) (* x x) x 3/40 1/6 1 (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 1) (* x (* (* x x) -1/6))) (* x (* (* x x) -1/6)) (* (* x x) -1/6) -1/6 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)))
4.0ms
x
@-inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) (* (* (- (* (* 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) (* x x) x 3/40 1/6 1 (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 1) (* x (* (* x x) -1/6))) (* x (* (* x x) -1/6)) (* (* x x) -1/6) -1/6 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)))
3.0ms
x
@0
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) (* (* (- (* (* 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) (* x x) x 3/40 1/6 1 (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 1) (* x (* (* x x) -1/6))) (* x (* (* x x) -1/6)) (* (* x x) -1/6) -1/6 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)))

rewrite173.0ms (11.2%)

Memory
-1.1MiB live, 59.1MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04433343
04832933
122822714
098502628
Stop Event
iter limit
node limit
iter limit
Counts
152 → 290
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (+.f32 (*.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 (+.f32 (*.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 (*.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 (*.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))
(*.f32 x x)
x
#s(literal 3/40 binary32)
#s(literal 1/6 binary32)
#s(literal 1 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 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))
(fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
(*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
#s(literal -1/6 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 (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) #s(hole binary32 1))
#s(approx (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 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 (* x x) #s(hole binary32 (pow x 2)))
#s(approx 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))
#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 1) (* x (* (* x x) -1/6))) #s(hole binary32 x))
#s(approx (+ (* x 1) (* x (* (* x x) -1/6))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* x (* (* x x) -1/6)) #s(hole binary32 (* -1/6 (pow x 3))))
#s(approx (* (* x x) -1/6) #s(hole binary32 (* -1/6 (pow x 2))))
#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 (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) #s(hole binary32 (* 3/40 (pow x 5))))
#s(approx (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) 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) 1) x) #s(hole binary32 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) #s(hole binary32 (* 3/40 (pow x 4))))
#s(approx (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) #s(hole binary32 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (- (* (* x x) 3/40) 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 (* (* (- (* (* 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 1) (* x (* (* x x) -1/6))) #s(hole binary32 (* -1/6 (pow x 3))))
#s(approx (+ (* x 1) (* x (* (* x x) -1/6))) #s(hole binary32 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#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 (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) 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) 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 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 1) (* x (* (* x x) -1/6))) #s(hole binary32 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#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 (+ (sqrt (+ (* x x) 1)) x)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(*.f32 x (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) x) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) x) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) x)) (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) x)))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x))) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 (*.f32 x (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x))) (*.f32 x (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)))) (*.f32 x (*.f32 x (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)))))))
(+.f32 x (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) x))
(+.f32 x (*.f32 x (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x))))
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#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 x)) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (+.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 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 (+ (sqrt (+ (* x x) 1)) x)) (-.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 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 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 (+ (sqrt (+ (* x x) 1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 (neg.f32 x) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (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 (+ (sqrt (+ (* x x) 1)) x)) (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 (* (+ (* (* (- (* (* x x) 3/40) 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 (* (+ (* (* (- (* (* x x) 3/40) 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) 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 1) (* x (* (* x x) -1/6))) (*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal -2 binary32)))))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (*.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.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 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.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 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 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))))))

eval37.0ms (2.4%)

Memory
-0.2MiB live, 29.1MiB allocated; 3ms collecting garbage
Compiler

Compiled 14 215 to 2 099 computations (85.2% saved)

prune14.0ms (0.9%)

Memory
-5.2MiB live, 19.9MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New3971398
Fresh000
Picked134
Done066
Total39810408
Accuracy
100.0%
Counts
408 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.1%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
25.8%
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
99.6%
(copysign.f32 (asinh.f32 x) x)
53.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x x)) x)
53.6%
(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)
53.6%
(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)
53.5%
(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)
53.6%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32)) x)) x)
19.8%
(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)
54.0%
(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 629 to 263 computations (58.2% saved)

regimes9.0ms (0.6%)

Memory
-1.5MiB live, 6.2MiB allocated; 1ms collecting garbage
Counts
17 → 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)))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) 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)))) (*.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)))) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #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 (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 (+.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 (log.f32 #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)))) x)
(copysign.f32 #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))) x)
Outputs
(copysign.f32 (asinh.f32 x) x)
Calls

2 calls:

4.0ms
x
4.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
99.6%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
99.6%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes5.0ms (0.4%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Accuracy

Total -11.6b remaining (-79.1%)

Threshold costs -11.6b (-79.1%)

Counts
9 → 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)))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) 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)))) (*.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)))) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #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)
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:

3.0ms
x
2.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
54.0%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
54.0%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify45.0ms (2.9%)

Memory
0.5MiB live, 8.4MiB allocated; 0ms 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)

derivations57.0ms (3.7%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 33 to 19 computations (42.4% saved)

preprocess19.0ms (1.2%)

Memory
-4.7MiB live, 11.1MiB allocated; 1ms 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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