Rust f32::acosh

Time bar (total: 1.4s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample625.0ms (43.5%)

Memory
2.4MiB live, 417.2MiB allocated; 680ms collecting garbage
Samples
510.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-acosh: 98.0ms (98.5% of total)
adjust: 1.0ms (1% of total)
Bogosity

explain109.0ms (7.6%)

Memory
27.4MiB live, 120.0MiB allocated; 6ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1250-0-(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
30-0-(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
00-0-(-.f32 (*.f32 x x) #s(literal 1 binary32))
00-0-(*.f32 x x)
00-0-#s(literal 1 binary32)
00-0-(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f32(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))oflow-rescue1250
(*.f32 x x)overflow125
(-.f32 (*.f32 x x) #s(literal 1 binary32))overflow125
log.f32(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue30
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))overflow3
(*.f32 x x)overflow125
(-.f32 (*.f32 x x) #s(literal 1 binary32))overflow125
Confusion
Predicted +Predicted -
+1250
-0131
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12500
-00131
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0131
1122
23
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
24.0ms512×0valid
Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-log: 5.0ms (35.9% of total)
ival-sqrt: 4.0ms (28.7% of total)
ival-mult!: 3.0ms (21.5% of total)
ival-sub!: 1.0ms (7.2% of total)
ival-add!: 1.0ms (7.2% of total)
adjust: 0.0ms (0% of total)

preprocess6.0ms (0.4%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
Stop Event
saturated
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.3%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series6.0ms (0.4%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Counts
7 → 42
Calls
Call 1
Inputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
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 (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx x #s(hole binary32 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (- (* x x) 1) #s(hole binary32 -1))
#s(approx (- (* x x) 1) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#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 (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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 (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) 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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
Calls

3 calls:

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

rewrite88.0ms (6.1%)

Memory
7.4MiB live, 102.9MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0202988
0210724
01179694
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
49 → 64
Calls
Call 1
Inputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
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 (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx x #s(hole binary32 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (- (* x x) 1) #s(hole binary32 -1))
#s(approx (- (* x x) 1) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#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 (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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 (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) 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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
Outputs
(acosh.f32 x)
(log.f32 (+.f32 (sinh.f32 (acosh.f32 x)) x))
(/.f32 (-.f32 (*.f32 x x) (*.f32 (sinh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 x)))) (-.f32 x (sinh.f32 (acosh.f32 x))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 (sinh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 x))) (*.f32 x (sinh.f32 (acosh.f32 x))))))
(+.f32 (sinh.f32 (acosh.f32 x)) x)
(+.f32 x (sinh.f32 (acosh.f32 x)))
x
(sqrt.f32 (expm1.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))
(pow.f32 (expm1.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(sinh.f32 (acosh.f32 x))
(expm1.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(*.f32 (+.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 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 x x) #s(literal 1 binary32))
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 x x)
(pow.f32 x #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
#s(literal 1 binary32)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/6 binary32) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32)))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 x x) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx x x)
#s(approx (sqrt (- (* x x) 1)) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 x x) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (- (* x x) 1) #s(literal -1 binary32))
#s(approx (- (* x x) 1) (expm1.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))
#s(approx (* x x) (*.f32 x x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (log.f32 x)) (/.f32 (fma.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)) (*.f32 x x))) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (log.f32 x)) (/.f32 (fma.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (*.f32 x x)) #s(literal -1 binary32) #s(literal 2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
#s(approx (sqrt (- (* x x) 1)) x)
#s(approx (sqrt (- (* x x) 1)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
#s(approx (sqrt (- (* x x) 1)) (*.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (*.f32 x x)) #s(literal -1 binary32) #s(literal 1 binary32)) x))
#s(approx (sqrt (- (* x x) 1)) (*.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
#s(approx (- (* x x) 1) (*.f32 x x))
#s(approx (- (* x x) 1) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal -2 binary32))) (*.f32 x x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (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))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (*.f32 x x))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32))) x)))
#s(approx (sqrt (- (* x x) 1)) (neg.f32 x))
#s(approx (sqrt (- (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))))
#s(approx (sqrt (- (* x x) 1)) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (*.f32 x x)) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))))

eval9.0ms (0.6%)

Memory
-30.1MiB live, 14.0MiB allocated; 5ms collecting garbage
Compiler

Compiled 1 186 to 316 computations (73.4% saved)

prune2.0ms (0.2%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New64468
Fresh000
Picked101
Done000
Total65469
Accuracy
100.0%
Counts
69 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.0%
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 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))))))))
95.3%
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
98.0%
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x)))
99.2%
(acosh.f32 x)
Compiler

Compiled 67 to 48 computations (28.4% saved)

series14.0ms (1%)

Memory
31.0MiB live, 31.0MiB allocated; 0ms collecting garbage
Counts
34 → 142
Calls
Call 1
Inputs
(acosh.f32 x)
x
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
(*.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x)
(-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 2 binary32))
(/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))
(fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32))
(pow.f32 x #s(literal -2 binary32))
#s(literal -2 binary32)
#s(literal 1/16 binary32)
#s(literal 1/8 binary32)
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
(+.f32 x #s(approx (sqrt (- (* x x) 1)) x))
#s(approx (sqrt (- (* x x) 1)) x)
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 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 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 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)))))))
(sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 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 (pow.f32 (*.f32 x x) #s(literal 3 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 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 x x) #s(literal 3 binary32))
(*.f32 x x)
#s(literal 3 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 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (*.f32 x x) #s(literal 1 binary32))
Outputs
#s(approx (acosh x) #s(hole binary32 (log (sqrt -1))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx x #s(hole binary32 x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (/ -1/16 (pow x 5))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (/ -1/16 (pow x 6))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 6))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (/ -1/16 (pow x 6))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ 1/16 (pow x 6))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 6))))
#s(approx (+ (* (pow x -2) 1/16) 1/8) #s(hole binary32 (/ 1/16 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/16) 1/8) #s(hole binary32 (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary32 (/ 1 (pow x 2))))
#s(approx (pow x 4) #s(hole binary32 (pow x 4)))
#s(approx (* (pow x -2) 1/2) #s(hole binary32 (/ 1/2 (pow x 2))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) #s(hole binary32 -1))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 -1))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (- (pow x 6) 1)))
#s(approx (pow (* x x) 3) #s(hole binary32 (pow x 6)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) #s(hole binary32 1))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 1))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (acosh x) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (acosh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* 2 x)))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 2))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (- 2 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 2))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (- 2 (* 1/8 (/ 1 (pow x 4))))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ 1/8 (pow x 4))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
#s(approx (+ (* (pow x -2) 1/16) 1/8) #s(hole binary32 1/8))
#s(approx (+ (* (pow x -2) 1/16) 1/8) #s(hole binary32 (+ 1/8 (* 1/16 (/ 1 (pow x 2))))))
#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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) #s(hole binary32 (pow x 2)))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) #s(hole binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (pow x 6)))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (* (pow x 6) (- 1 (/ 1 (pow x 6))))))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) #s(hole binary32 (pow x 4)))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) #s(hole binary32 (* (pow x 4) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) #s(hole binary32 (* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 (pow x 2)))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (acosh 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 (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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 (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))))
#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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #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 (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (+ (* (pow x -2) 1/16) 1/8) (pow x -2) -2 1/16 1/8 (pow x 4) 4 -1 2 (* (pow x -2) 1/2) 1/2 (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (pow x 4) (+ 1 (* (* x x) 1))) (+ 1 (* (* x x) 1)) (* (* x x) 1))
4.0ms
x
@0
((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (+ (* (pow x -2) 1/16) 1/8) (pow x -2) -2 1/16 1/8 (pow x 4) 4 -1 2 (* (pow x -2) 1/2) 1/2 (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (pow x 4) (+ 1 (* (* x x) 1))) (+ 1 (* (* x x) 1)) (* (* x x) 1))
3.0ms
x
@-inf
((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (+ (* (pow x -2) 1/16) 1/8) (pow x -2) -2 1/16 1/8 (pow x 4) 4 -1 2 (* (pow x -2) 1/2) 1/2 (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (pow x 4) (+ 1 (* (* x x) 1))) (+ 1 (* (* x x) 1)) (* (* x x) 1))

rewrite118.0ms (8.2%)

Memory
5.2MiB live, 96.5MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04034208
04432920
019662836
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
176 → 278
Calls
Call 1
Inputs
(acosh.f32 x)
x
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
(*.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x)
(-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 2 binary32))
(/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))
(fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32))
(pow.f32 x #s(literal -2 binary32))
#s(literal -2 binary32)
#s(literal 1/16 binary32)
#s(literal 1/8 binary32)
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
(+.f32 x #s(approx (sqrt (- (* x x) 1)) x))
#s(approx (sqrt (- (* x x) 1)) x)
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 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 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 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)))))))
(sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 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 (pow.f32 (*.f32 x x) #s(literal 3 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 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 x x) #s(literal 3 binary32))
(*.f32 x x)
#s(literal 3 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 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (*.f32 x x) #s(literal 1 binary32))
#s(approx (acosh x) #s(hole binary32 (log (sqrt -1))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx x #s(hole binary32 x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (/ -1/16 (pow x 5))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (/ -1/16 (pow x 6))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 6))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (/ -1/16 (pow x 6))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ 1/16 (pow x 6))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 6))))
#s(approx (+ (* (pow x -2) 1/16) 1/8) #s(hole binary32 (/ 1/16 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/16) 1/8) #s(hole binary32 (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary32 (/ 1 (pow x 2))))
#s(approx (pow x 4) #s(hole binary32 (pow x 4)))
#s(approx (* (pow x -2) 1/2) #s(hole binary32 (/ 1/2 (pow x 2))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) #s(hole binary32 -1))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 -1))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (- (pow x 6) 1)))
#s(approx (pow (* x x) 3) #s(hole binary32 (pow x 6)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) #s(hole binary32 1))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 1))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (acosh x) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (acosh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* 2 x)))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 2))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (- 2 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 2))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (- 2 (* 1/8 (/ 1 (pow x 4))))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ 1/8 (pow x 4))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
#s(approx (+ (* (pow x -2) 1/16) 1/8) #s(hole binary32 1/8))
#s(approx (+ (* (pow x -2) 1/16) 1/8) #s(hole binary32 (+ 1/8 (* 1/16 (/ 1 (pow x 2))))))
#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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) #s(hole binary32 (pow x 2)))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) #s(hole binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (pow x 6)))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (* (pow x 6) (- 1 (/ 1 (pow x 6))))))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) #s(hole binary32 (pow x 4)))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) #s(hole binary32 (* (pow x 4) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) #s(hole binary32 (* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 (pow x 2)))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (acosh 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 (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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 (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))))
#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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #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 (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
Outputs
(acosh.f32 x)
(log.f32 (+.f32 (sinh.f32 (acosh.f32 x)) x))
x
(log.f32 #s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (*.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))) x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (*.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))) x))
(*.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))) x)
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#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/6 binary32) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32)))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx x x)
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/6 binary32) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32)))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) x))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 x x) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 5 binary32))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) (/.f32 (-.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) (/.f32 (-.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/.f32 (-.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 2 binary32)) #s(literal 1/8 binary32)) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (*.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32)))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))))
#s(approx (+ (* (pow x -2) 1/16) 1/8) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32)))
#s(approx (+ (* (pow x -2) 1/16) 1/8) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (*.f32 x x)))
#s(approx (pow x -2) (pow.f32 x #s(literal -2 binary32)))
#s(approx (pow x 4) (pow.f32 x #s(literal 4 binary32)))
#s(approx (* (pow x -2) 1/2) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (fma.f32 (/.f32 (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (fma.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 x x) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/6 binary32) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32)))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) x))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 x x) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (fma.f32 (/.f32 (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (fma.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 x x) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) #s(literal -1 binary32))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) (-.f32 (*.f32 x x) #s(literal 1 binary32)))
#s(approx (- (pow (* x x) 3) 1) #s(literal -1 binary32))
#s(approx (- (pow (* x x) 3) 1) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))
#s(approx (pow (* x x) 3) (pow.f32 x #s(literal 6 binary32)))
#s(approx (* (* x x) 1) (*.f32 x x))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) #s(literal 1 binary32))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) (fma.f32 x x #s(literal 1 binary32)))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)))
#s(approx (+ 1 (* (* x x) 1)) #s(literal 1 binary32))
#s(approx (+ 1 (* (* x x) 1)) (fma.f32 x x #s(literal 1 binary32)))
#s(approx (* (* x x) 1) (*.f32 x x))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (-.f32 (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (*.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (fma.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (log.f32 x)) (/.f32 (fma.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)) (*.f32 x x))) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (-.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (log.f32 x)) (/.f32 (fma.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 2 binary32))) (*.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (-.f32 (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (*.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (fma.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (log.f32 x)) (/.f32 (fma.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)) (*.f32 x x))) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (-.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (log.f32 x)) (/.f32 (fma.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 2 binary32))) (*.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (*.f32 #s(literal 2 binary32) x))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (*.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (*.f32 x x)) #s(literal -1 binary32) #s(literal 2 binary32)) x))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (*.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))) x))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) (*.f32 #s(literal 2 binary32) x))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) (*.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (*.f32 x x)) #s(literal -1 binary32) #s(literal 2 binary32)) x))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) (*.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))) x))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(literal 2 binary32))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (*.f32 x x)) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(literal 2 binary32))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32)))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ (* (pow x -2) 1/16) 1/8) #s(literal 1/8 binary32))
#s(approx (+ (* (pow x -2) 1/16) 1/8) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) x)
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (*.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (*.f32 x x)) #s(literal -1 binary32) #s(literal 1 binary32)) x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (*.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (-.f32 (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (*.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (fma.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (log.f32 x)) (/.f32 (fma.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)) (*.f32 x x))) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (-.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (log.f32 x)) (/.f32 (fma.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 2 binary32))) (*.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (*.f32 #s(literal 2 binary32) x))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (*.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (*.f32 x x)) #s(literal -1 binary32) #s(literal 2 binary32)) x))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (*.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))) x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) x)
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (*.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (*.f32 x x)) #s(literal -1 binary32) #s(literal 1 binary32)) x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (*.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) (*.f32 x x))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal -2 binary32))) (*.f32 x x)))
#s(approx (- (pow (* x x) 3) 1) (pow.f32 x #s(literal 6 binary32)))
#s(approx (- (pow (* x x) 3) 1) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal -6 binary32))) (pow.f32 x #s(literal 6 binary32))))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) (pow.f32 x #s(literal 4 binary32)))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) (*.f32 (+.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal -4 binary32))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ 1 (* (* x x) 1)) (*.f32 x x))
#s(approx (+ 1 (* (* x x) 1)) (*.f32 (+.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)) (*.f32 x x)))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+.f32 (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (fma.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 (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+.f32 (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 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 (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+.f32 (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (fma.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 (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+.f32 (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 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 (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) x))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (*.f32 x x))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32))) x)))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) (*.f32 (neg.f32 x) (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) (*.f32 (neg.f32 x) (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 2 binary32))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) (*.f32 (neg.f32 x) (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32) (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))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (neg.f32 x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (*.f32 x x)) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (*.f32 (neg.f32 x) (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+.f32 (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (fma.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 (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+.f32 (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 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 (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) x))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (*.f32 x x))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32))) x)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (neg.f32 x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (*.f32 x x)) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (*.f32 (neg.f32 x) (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))))

eval37.0ms (2.6%)

Memory
-16.1MiB live, 39.0MiB allocated; 9ms collecting garbage
Compiler

Compiled 8 440 to 1 361 computations (83.9% saved)

prune10.0ms (0.7%)

Memory
-31.9MiB live, 12.5MiB allocated; 5ms collecting garbage
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2632265
Fresh000
Picked224
Done000
Total2654269
Accuracy
100.0%
Counts
269 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.0%
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))))
95.3%
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
50.2%
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x)))
99.2%
(acosh.f32 x)
Compiler

Compiled 83 to 58 computations (30.1% saved)

series11.0ms (0.8%)

Memory
25.5MiB live, 25.5MiB allocated; 0ms collecting garbage
Counts
32 → 123
Calls
Call 1
Inputs
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
(*.f32 (-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x)
(-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))
(fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))))
(/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))
(fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32))
(*.f32 x x)
x
#s(literal 1/8 binary32)
#s(literal 1/16 binary32)
(pow.f32 x #s(literal 6 binary32))
#s(literal 6 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))
(pow.f32 x #s(literal -2 binary32))
#s(literal -2 binary32)
#s(literal 1/2 binary32)
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))))
(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32)))))))
(sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))
(/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32)))))
(-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 x x) #s(literal 3 binary32))
#s(literal 3 binary32)
#s(literal 1 binary32)
(+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (*.f32 x x) (*.f32 x x))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (*.f32 x x) #s(literal 1 binary32))
Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (/ -1/16 (pow x 5))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (/ -1/16 (pow x 6))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 6))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (/ -1/16 (pow x 6))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ 1/16 (pow x 6))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 6))))
#s(approx (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) #s(hole binary32 (/ 1/16 (pow x 6))))
#s(approx (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) #s(hole binary32 (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 6))))
#s(approx (+ (* (* x x) 1/8) 1/16) #s(hole binary32 1/16))
#s(approx (+ (* (* x x) 1/8) 1/16) #s(hole binary32 (+ 1/16 (* 1/8 (pow x 2)))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx x #s(hole binary32 x))
#s(approx (pow x 6) #s(hole binary32 (pow x 6)))
#s(approx (* (pow x -2) 1/2) #s(hole binary32 (/ 1/2 (pow x 2))))
#s(approx (pow x -2) #s(hole binary32 (/ 1 (pow x 2))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) #s(hole binary32 -1))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 -1))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (- (pow x 6) 1)))
#s(approx (pow (* x x) 3) #s(hole binary32 (pow x 6)))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) #s(hole binary32 1))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary32 (pow x 4)))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 1))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* 2 x)))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 2))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (- 2 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 2))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (- 2 (* 1/8 (/ 1 (pow x 4))))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ 1/8 (pow x 4))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
#s(approx (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) #s(hole binary32 (/ 1/8 (pow x 4))))
#s(approx (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) #s(hole binary32 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
#s(approx (+ (* (* x x) 1/8) 1/16) #s(hole binary32 (* 1/8 (pow x 2))))
#s(approx (+ (* (* x x) 1/8) 1/16) #s(hole binary32 (* (pow x 2) (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) #s(hole binary32 (pow x 2)))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) #s(hole binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (pow x 6)))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (* (pow x 6) (- 1 (/ 1 (pow x 6))))))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) #s(hole binary32 (pow x 4)))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) #s(hole binary32 (* (pow x 4) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) #s(hole binary32 (* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 (pow x 2)))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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 (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #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 (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) (+ (* (* x x) 1/8) 1/16) (* x x) x 1/8 1/16 (pow x 6) 6 -1 2 (* (pow x -2) 1/2) (pow x -2) -2 1/2 (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) (- (pow (* x x) 3) 1) (pow (* x x) 3) 3 1 (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) (* (* x x) (* x x)) (+ 1 (* (* x x) 1)) (* (* x x) 1))
3.0ms
x
@inf
((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) (+ (* (* x x) 1/8) 1/16) (* x x) x 1/8 1/16 (pow x 6) 6 -1 2 (* (pow x -2) 1/2) (pow x -2) -2 1/2 (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) (- (pow (* x x) 3) 1) (pow (* x x) 3) 3 1 (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) (* (* x x) (* x x)) (+ 1 (* (* x x) 1)) (* (* x x) 1))
3.0ms
x
@0
((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) (+ (* (* x x) 1/8) 1/16) (* x x) x 1/8 1/16 (pow x 6) 6 -1 2 (* (pow x -2) 1/2) (pow x -2) -2 1/2 (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) (- (pow (* x x) 3) 1) (pow (* x x) 3) 3 1 (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) (* (* x x) (* x x)) (+ 1 (* (* x x) 1)) (* (* x x) 1))

rewrite104.0ms (7.3%)

Memory
30.8MiB live, 114.9MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03854073
04222669
020112557
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
155 → 265
Calls
Call 1
Inputs
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
(*.f32 (-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x)
(-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))
(fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))))
(/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))
(fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32))
(*.f32 x x)
x
#s(literal 1/8 binary32)
#s(literal 1/16 binary32)
(pow.f32 x #s(literal 6 binary32))
#s(literal 6 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))
(pow.f32 x #s(literal -2 binary32))
#s(literal -2 binary32)
#s(literal 1/2 binary32)
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))))
(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32)))))))
(sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))
(/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32)))))
(-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 x x) #s(literal 3 binary32))
#s(literal 3 binary32)
#s(literal 1 binary32)
(+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (*.f32 x x) (*.f32 x x))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (*.f32 x x) #s(literal 1 binary32))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (/ -1/16 (pow x 5))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (/ -1/16 (pow x 6))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 6))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (/ -1/16 (pow x 6))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ 1/16 (pow x 6))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 6))))
#s(approx (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) #s(hole binary32 (/ 1/16 (pow x 6))))
#s(approx (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) #s(hole binary32 (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 6))))
#s(approx (+ (* (* x x) 1/8) 1/16) #s(hole binary32 1/16))
#s(approx (+ (* (* x x) 1/8) 1/16) #s(hole binary32 (+ 1/16 (* 1/8 (pow x 2)))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx x #s(hole binary32 x))
#s(approx (pow x 6) #s(hole binary32 (pow x 6)))
#s(approx (* (pow x -2) 1/2) #s(hole binary32 (/ 1/2 (pow x 2))))
#s(approx (pow x -2) #s(hole binary32 (/ 1 (pow x 2))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) #s(hole binary32 -1))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 -1))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (- (pow x 6) 1)))
#s(approx (pow (* x x) 3) #s(hole binary32 (pow x 6)))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) #s(hole binary32 1))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary32 (pow x 4)))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 1))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* 2 x)))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 2))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (- 2 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) #s(hole binary32 (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 2))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (- 2 (* 1/8 (/ 1 (pow x 4))))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ 1/8 (pow x 4))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
#s(approx (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) #s(hole binary32 (/ 1/8 (pow x 4))))
#s(approx (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) #s(hole binary32 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
#s(approx (+ (* (* x x) 1/8) 1/16) #s(hole binary32 (* 1/8 (pow x 2))))
#s(approx (+ (* (* x x) 1/8) 1/16) #s(hole binary32 (* (pow x 2) (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) #s(hole binary32 (pow x 2)))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) #s(hole binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (pow x 6)))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (* (pow x 6) (- 1 (/ 1 (pow x 6))))))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) #s(hole binary32 (pow x 4)))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) #s(hole binary32 (* (pow x 4) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) #s(hole binary32 (* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 (pow x 2)))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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 (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) #s(hole binary32 (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #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 (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
Outputs
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (fma.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (fma.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))) x))
(*.f32 (fma.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))) x)
(*.f32 x (fma.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))))
(/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))) (+.f32 (fma.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))))
(/.f32 (-.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (fma.f32 (fma.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal 2 binary32)) (fma.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (*.f32 (fma.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))))))
(-.f32 (fma.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))
(fma.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))))
(fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))))
(+.f32 (*.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))))) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))))
(+.f32 (fma.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal 2 binary32)) (*.f32 (neg.f32 (pow.f32 x #s(literal -2 binary32))) #s(literal 1/2 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))))) (*.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))))) #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))))) #s(literal 2 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))))) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (*.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))))) (*.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))))) (-.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))))) #s(literal 2 binary32)))))
(fma.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal 2 binary32))
(fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32))
(+.f32 (*.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))))) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))))
(/.f32 (neg.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32))) (neg.f32 (pow.f32 x #s(literal 6 binary32))))
(/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))
(fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 6 binary32))))
(fma.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal -6 binary32)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 6 binary32))))
(+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))))
(+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 6 binary32))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) #s(literal 1/256 binary32)) (-.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 1/16 binary32)))
(/.f32 (-.f32 #s(literal 1/256 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (*.f32 (*.f32 x x) #s(literal 1/8 binary32)))) (-.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 3 binary32)) #s(literal 1/4096 binary32)) (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (-.f32 #s(literal 1/256 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 1/16 binary32)))))
(/.f32 (+.f32 #s(literal 1/4096 binary32) (pow.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 1/256 binary32) (-.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) (*.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))))))
(-.f32 #s(literal 1/16 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x)))
(fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32))
(fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal 1/16 binary32))
(fma.f32 x (*.f32 x #s(literal 1/8 binary32)) #s(literal 1/16 binary32))
(+.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 1/16 binary32))
(+.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 x x) #s(literal 1/8 binary32)))
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 x (*.f32 x #s(literal 1 binary32)))
(*.f32 x x)
(pow.f32 x #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
x
#s(literal 1/8 binary32)
#s(literal 1/16 binary32)
(*.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(*.f32 (*.f32 x x) (pow.f32 x #s(literal 4 binary32)))
(*.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x))
(pow.f32 (*.f32 x x) #s(literal 3 binary32))
(pow.f32 x #s(literal 6 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 6 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 x x)) #s(literal 3 binary32)))
#s(literal 6 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)))
(/.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 x x)))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(pow.f32 (*.f32 x x) #s(literal -1 binary32))
(pow.f32 x #s(literal -2 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal -2 binary32)))
#s(literal -2 binary32)
#s(literal 1/2 binary32)
(acosh.f32 x)
(log.f32 (+.f32 (sinh.f32 (acosh.f32 x)) x))
(/.f32 (-.f32 (*.f32 x x) (*.f32 (sinh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 x)))) (-.f32 x (sinh.f32 (acosh.f32 x))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 (sinh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 x))) (*.f32 x (sinh.f32 (acosh.f32 x))))))
(+.f32 (sinh.f32 (acosh.f32 x)) x)
(+.f32 x (sinh.f32 (acosh.f32 x)))
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(pow.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 1/2 binary32))
(sinh.f32 (acosh.f32 x))
(expm1.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(*.f32 (+.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
(-.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(expm1.f32 (*.f32 (log.f32 x) #s(literal 6 binary32)))
(expm1.f32 (*.f32 (log.f32 (*.f32 x x)) #s(literal 3 binary32)))
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))))
(-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))
(*.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(*.f32 (*.f32 x x) (pow.f32 x #s(literal 4 binary32)))
(*.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x))
(pow.f32 (*.f32 x x) #s(literal 3 binary32))
(pow.f32 x #s(literal 6 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 6 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 x x)) #s(literal 3 binary32)))
#s(literal 3 binary32)
#s(literal 1 binary32)
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(fma.f32 (*.f32 (*.f32 x x) x) x (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 (neg.f32 (*.f32 x x)) (neg.f32 (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32)))
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(fma.f32 (*.f32 x x) (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x (*.f32 x (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32)))
(+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))
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(*.f32 (*.f32 (*.f32 x x) x) x)
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(pow.f32 (*.f32 x x) #s(literal 2 binary32))
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#s(approx (* (* x x) 1) (*.f32 x x))
#s(approx x x)
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#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (log.f32 x)) (/.f32 (fma.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 2 binary32))) (*.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (*.f32 x x)) #s(literal -1 binary32) #s(literal 2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))) x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) x)
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) (*.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (*.f32 x x)) #s(literal -1 binary32) #s(literal 1 binary32)) x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) (*.f32 x x))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal -2 binary32))) (*.f32 x x)))
#s(approx (- (pow (* x x) 3) 1) (pow.f32 x #s(literal 6 binary32)))
#s(approx (- (pow (* x x) 3) 1) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal -6 binary32))) (pow.f32 x #s(literal 6 binary32))))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) (pow.f32 x #s(literal 4 binary32)))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) (*.f32 (+.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal -4 binary32))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ 1 (* (* x x) 1)) (*.f32 x x))
#s(approx (+ 1 (* (* x x) 1)) (*.f32 (+.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)) (*.f32 x x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (fma.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 (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 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 (+ x (sqrt (- (* x x) 1))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (*.f32 x x))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32))) x)))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) (*.f32 (neg.f32 x) (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) (*.f32 (neg.f32 x) (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 2 binary32))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (* (pow x -2) 1/2)) x) (*.f32 (neg.f32 x) (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32) (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))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (fma.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 (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 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 (+ x (sqrt (- (* x x) 1))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (*.f32 x x))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32))) x)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) (neg.f32 x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (*.f32 x x)) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) (*.f32 (neg.f32 x) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))))

eval38.0ms (2.6%)

Memory
-23.9MiB live, 77.3MiB allocated; 26ms collecting garbage
Compiler

Compiled 10 370 to 1 590 computations (84.7% saved)

prune5.0ms (0.4%)

Memory
16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2872289
Fresh000
Picked202
Done022
Total2894293
Accuracy
100.0%
Counts
293 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.0%
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32)))))))
95.3%
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
50.2%
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)))
99.2%
(acosh.f32 x)
Compiler

Compiled 80 to 55 computations (31.3% saved)

series15.0ms (1%)

Memory
-17.7MiB live, 28.8MiB allocated; 6ms collecting garbage
Counts
29 → 121
Calls
Call 1
Inputs
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))
(*.f32 (-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)
(-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))))
(/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))
(fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32))
(*.f32 x x)
x
#s(literal 1/8 binary32)
#s(literal 1/16 binary32)
(pow.f32 x #s(literal 6 binary32))
#s(literal 6 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
#s(literal 1/2 binary32)
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32)))))))
(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32))))))
(sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32))))
(-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 x x) #s(literal 3 binary32))
#s(literal 3 binary32)
#s(literal 1 binary32)
(+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (*.f32 x x) (*.f32 x x))
(fma.f32 x x #s(literal 1 binary32))
Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (/ -1/16 (pow x 5))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) #s(hole binary32 (/ -1/16 (pow x 6))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 6))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (/ -1/16 (pow x 6))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ 1/16 (pow x 6))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 6))))
#s(approx (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) #s(hole binary32 (/ 1/16 (pow x 6))))
#s(approx (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) #s(hole binary32 (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 6))))
#s(approx (+ (* (* x x) 1/8) 1/16) #s(hole binary32 1/16))
#s(approx (+ (* (* x x) 1/8) 1/16) #s(hole binary32 (+ 1/16 (* 1/8 (pow x 2)))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx x #s(hole binary32 x))
#s(approx (pow x 6) #s(hole binary32 (pow x 6)))
#s(approx (/ 1/2 (* x x)) #s(hole binary32 (/ 1/2 (pow x 2))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) #s(hole binary32 -1))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 -1))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (- (pow x 6) 1)))
#s(approx (pow (* x x) 3) #s(hole binary32 (pow x 6)))
#s(approx (+ (* (* x x) (* x x)) (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (+ (* (* x x) (* x x)) (+ (* x x) 1)) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (+ (* (* x x) (* x x)) (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary32 (pow x 4)))
#s(approx (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (* 2 x)))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) #s(hole binary32 2))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) #s(hole binary32 (- 2 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) #s(hole binary32 (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 2))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (- 2 (* 1/8 (/ 1 (pow x 4))))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ 1/8 (pow x 4))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
#s(approx (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) #s(hole binary32 (/ 1/8 (pow x 4))))
#s(approx (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) #s(hole binary32 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
#s(approx (+ (* (* x x) 1/8) 1/16) #s(hole binary32 (* 1/8 (pow x 2))))
#s(approx (+ (* (* x x) 1/8) 1/16) #s(hole binary32 (* (pow x 2) (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) #s(hole binary32 (pow x 2)))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (pow x 6)))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (* (pow x 6) (- 1 (/ 1 (pow x 6))))))
#s(approx (+ (* (* x x) (* x x)) (+ (* x x) 1)) #s(hole binary32 (pow x 4)))
#s(approx (+ (* (* x x) (* x x)) (+ (* x x) 1)) #s(hole binary32 (* (pow x 4) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) (* x x)) (+ (* x x) 1)) #s(hole binary32 (* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (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 (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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 (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #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 (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@0
((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) (+ (* (* x x) 1/8) 1/16) (* x x) x 1/8 1/16 (pow x 6) 6 -1 2 (/ 1/2 (* x x)) 1/2 (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) (- (pow (* x x) 3) 1) (pow (* x x) 3) 3 1 (+ (* (* x x) (* x x)) (+ (* x x) 1)) (* (* x x) (* x x)) (+ (* x x) 1))
3.0ms
x
@inf
((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) (+ (* (* x x) 1/8) 1/16) (* x x) x 1/8 1/16 (pow x 6) 6 -1 2 (/ 1/2 (* x x)) 1/2 (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) (- (pow (* x x) 3) 1) (pow (* x x) 3) 3 1 (+ (* (* x x) (* x x)) (+ (* x x) 1)) (* (* x x) (* x x)) (+ (* x x) 1))
3.0ms
x
@-inf
((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) (+ (* (* x x) 1/8) 1/16) (* x x) x 1/8 1/16 (pow x 6) 6 -1 2 (/ 1/2 (* x x)) 1/2 (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) (- (pow (* x x) 3) 1) (pow (* x x) 3) 3 1 (+ (* (* x x) (* x x)) (+ (* x x) 1)) (* (* x x) (* x x)) (+ (* x x) 1))

rewrite126.0ms (8.8%)

Memory
-14.5MiB live, 86.5MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03803878
04133200
019773102
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
150 → 234
Calls
Call 1
Inputs
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))
(*.f32 (-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)
(-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))))
(/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))
(fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32))
(*.f32 x x)
x
#s(literal 1/8 binary32)
#s(literal 1/16 binary32)
(pow.f32 x #s(literal 6 binary32))
#s(literal 6 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
#s(literal 1/2 binary32)
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32)))))))
(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32))))))
(sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32))))
(-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 x x) #s(literal 3 binary32))
#s(literal 3 binary32)
#s(literal 1 binary32)
(+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (*.f32 x x) (*.f32 x x))
(fma.f32 x x #s(literal 1 binary32))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (/ -1/16 (pow x 5))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) #s(hole binary32 (/ -1/16 (pow x 6))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 6))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (/ -1/16 (pow x 6))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ 1/16 (pow x 6))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 6))))
#s(approx (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) #s(hole binary32 (/ 1/16 (pow x 6))))
#s(approx (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) #s(hole binary32 (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 6))))
#s(approx (+ (* (* x x) 1/8) 1/16) #s(hole binary32 1/16))
#s(approx (+ (* (* x x) 1/8) 1/16) #s(hole binary32 (+ 1/16 (* 1/8 (pow x 2)))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx x #s(hole binary32 x))
#s(approx (pow x 6) #s(hole binary32 (pow x 6)))
#s(approx (/ 1/2 (* x x)) #s(hole binary32 (/ 1/2 (pow x 2))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) #s(hole binary32 -1))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 -1))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (- (pow x 6) 1)))
#s(approx (pow (* x x) 3) #s(hole binary32 (pow x 6)))
#s(approx (+ (* (* x x) (* x x)) (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (+ (* (* x x) (* x x)) (+ (* x x) 1)) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (+ (* (* x x) (* x x)) (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary32 (pow x 4)))
#s(approx (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (* 2 x)))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) #s(hole binary32 2))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) #s(hole binary32 (- 2 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) #s(hole binary32 (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
#s(approx (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 2))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (- 2 (* 1/8 (/ 1 (pow x 4))))))
#s(approx (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ 1/8 (pow x 4))))
#s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) #s(hole binary32 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
#s(approx (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) #s(hole binary32 (/ 1/8 (pow x 4))))
#s(approx (/ (+ (* (* x x) 1/8) 1/16) (pow x 6)) #s(hole binary32 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
#s(approx (+ (* (* x x) 1/8) 1/16) #s(hole binary32 (* 1/8 (pow x 2))))
#s(approx (+ (* (* x x) 1/8) 1/16) #s(hole binary32 (* (pow x 2) (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) #s(hole binary32 (pow x 2)))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (pow x 6)))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (* (pow x 6) (- 1 (/ 1 (pow x 6))))))
#s(approx (+ (* (* x x) (* x x)) (+ (* x x) 1)) #s(hole binary32 (pow x 4)))
#s(approx (+ (* (* x x) (* x x)) (+ (* x x) 1)) #s(hole binary32 (* (pow x 4) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) (* x x)) (+ (* x x) 1)) #s(hole binary32 (* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (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 (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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 (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #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 (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
Outputs
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (fma.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (fma.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))) x))
(*.f32 (fma.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))) x)
(*.f32 x (fma.f32 #s(literal -1 binary32) #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))))
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#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (*.f32 x x))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32))) x)))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) (*.f32 (neg.f32 x) (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) (*.f32 (neg.f32 x) (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 2 binary32))))
#s(approx (* (- (+ (* (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) -1) 2) (/ 1/2 (* x x))) x) (*.f32 (neg.f32 x) (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32) (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))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) (+.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) (+.f32 (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) (+.f32 (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (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))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) x))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (*.f32 x x))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32))) x)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) (neg.f32 x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (*.f32 x x)) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) (*.f32 (neg.f32 x) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))))

eval23.0ms (1.6%)

Memory
12.0MiB live, 55.7MiB allocated; 6ms collecting garbage
Compiler

Compiled 10 395 to 1 426 computations (86.3% saved)

prune8.0ms (0.5%)

Memory
19.7MiB live, 19.7MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2810281
Fresh000
Picked022
Done022
Total2814285
Accuracy
100.0%
Counts
285 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.0%
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32)))))))
95.3%
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
50.2%
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)))
99.2%
(acosh.f32 x)
Compiler

Compiled 293 to 134 computations (54.3% saved)

regimes11.0ms (0.7%)

Memory
-23.2MiB live, 22.9MiB allocated; 3ms collecting garbage
Accuracy

Total -27.7b remaining (-10441.2%)

Threshold costs -27.7b (-10441.2%)

Counts
9 → 1
Calls
Call 1
Inputs
(acosh.f32 x)
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)))
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32)))))))
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (fma.f32 #s(approx (/ (+ (* (pow x -2) 1/16) 1/8) (pow x 4)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x)))
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 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))))))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x)))
Outputs
(acosh.f32 x)
Calls

3 calls:

4.0ms
x
3.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
3.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
Results
AccuracySegmentsBranch
99.2%1(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
99.2%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
99.2%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

derivations3.0ms (0.2%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 2 to 2 computations (0% saved)

preprocess68.0ms (4.7%)

Memory
-16.4MiB live, 27.7MiB allocated; 6ms collecting garbage
Compiler

Compiled 46 to 36 computations (21.7% saved)

end0.0ms (0%)

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

Profiling

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