Rust f32::asinh

Time bar (total: 3.1s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.6%0.4%0%0%0%0
100%99.6%0%0.4%0%0%0%1
Compiler

Compiled 4 to 4 computations (0% saved)

sample720.0ms (23%)

Memory
18.7MiB live, 1 017.8MiB allocated; 239ms collecting garbage
Samples
516.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 262.0ms
ival-asinh: 250.0ms (95.4% of total)
ival-true: 6.0ms (2.3% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 2.0ms (0.8% of total)
Bogosity

explain259.0ms (8.3%)

Memory
-2.6MiB live, 272.1MiB allocated; 41ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1270-3(0.027277149260044098)(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
560-0-(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
00-0-#s(literal 1 binary32)
00-0-(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
00-0-(*.f32 x x)
00-0-(+.f32 (*.f32 x x) #s(literal 1 binary32))
00-0-(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
00-0-x
00-0-(fabs.f32 x)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))sensitivity1223
sqrt.f32(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))oflow-rescue560
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow56
(*.f32 x x)overflow56
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue20
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))overflow2
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow56
(*.f32 x x)overflow56
Confusion
Predicted +Predicted -
+1783
-075
Precision
1.0
Recall
0.9834254143646409
Confusion?
Predicted +Predicted MaybePredicted -
+17830
-0075
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
078
1176
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
133.0ms190×1valid
39.0ms322×0valid
Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 123.0ms
ival-hypot: 79.0ms (64.5% of total)
ival-log: 12.0ms (9.8% of total)
ival-fabs: 10.0ms (8.2% of total)
adjust: 6.0ms (4.9% of total)
ival-add: 6.0ms (4.9% of total)
ival-copysign: 5.0ms (4.1% of total)
ival-mult: 4.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess157.0ms (5%)

Memory
6.7MiB live, 190.2MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
0912
01612
12412
24512
38512
414412
535112
6240112
7591412
0815311
Stop Event
iter limit
node limit
iter limit
saturated
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.1%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 12 to 9 computations (25% saved)

series7.0ms (0.2%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Counts
9 → 44
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
Outputs
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Calls

3 calls:

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

simplify201.0ms (6.4%)

Memory
8.1MiB live, 197.8MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0219972
1631938
22702926
08824845
Stop Event
iter limit
node limit
Counts
44 → 44
Calls
Call 1
Inputs
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 45 binary32)) (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 45 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x)) #s(literal -1 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) (fma.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx (fabs x) (fabs.f32 x))
#s(approx x #s(hole binary32 x))
#s(approx x x)
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(literal 1 binary32))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (+ (* x x) 1) (fma.f32 x x #s(literal 1 binary32)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* x x) (*.f32 x x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (+.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) (/.f32 (fabs.f32 x) x)) (log.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) (fabs.f32 x))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (log.f32 x)) (/.f32 (fabs.f32 x) x)) (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal 1/2 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) x x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))
#s(approx (+ (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) 1) (*.f32 x x))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (* x x) 1) (fma.f32 x x #s(literal 1 binary32)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fabs.f32 x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) (fabs.f32 x))) x) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x)) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x (neg.f32 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 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)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))) x))

rewrite232.0ms (7.4%)

Memory
-38.6MiB live, 126.6MiB allocated; 113ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0949
01637
15629
040628
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
9 → 100
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
Outputs
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (log.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x))))
(asinh.f32 (fabs.f32 x))
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x)))
(-.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))))
(fma.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (fabs.f32 x))
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (cosh.f32 (asinh.f32 x)))
(fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) (cosh.f32 (asinh.f32 x)))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (cosh.f32 (asinh.f32 x)))
(+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x))))
(+.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x))
(+.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))
(*.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)))
(*.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)))
(*.f32 (sqrt.f32 x) (sqrt.f32 x))
(sqrt.f32 (*.f32 x x))
(pow.f32 (*.f32 x x) #s(literal 1/2 binary32))
(pow.f32 x #s(literal 1 binary32))
(fabs.f32 (neg.f32 (neg.f32 x)))
(fabs.f32 (neg.f32 x))
(fabs.f32 (fabs.f32 x))
(fabs.f32 x)
x
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.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 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))
(/.f32 (+.f32 (exp.f32 (asinh.f32 x)) (exp.f32 (neg.f32 (asinh.f32 x)))) #s(literal 2 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log1p.f32 (*.f32 x x)) #s(literal 1/2 binary32)))
(cosh.f32 (neg.f32 (asinh.f32 x)))
(cosh.f32 (asinh.f32 (neg.f32 x)))
(cosh.f32 (asinh.f32 x))
(cosh.f32 (asinh.f32 (fabs.f32 x)))
(*.f32 (neg.f32 (cosh.f32 (asinh.f32 x))) (neg.f32 (cosh.f32 (asinh.f32 x))))
(*.f32 (fabs.f32 (cosh.f32 (asinh.f32 x))) (fabs.f32 (cosh.f32 (asinh.f32 x))))
(*.f32 (cosh.f32 (asinh.f32 x)) (cosh.f32 (asinh.f32 x)))
(sqrt.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (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 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))
(/.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 x #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))
(-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 x)) (neg.f32 x)))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fabs.f32 x)) (fabs.f32 x)))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x))
(-.f32 #s(literal 1 binary32) (*.f32 x (neg.f32 x)))
(-.f32 (*.f32 x x) #s(literal -1 binary32))
(fma.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)) #s(literal 1 binary32))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 x (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 x x #s(literal 1 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 2 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (*.f32 (neg.f32 x) #s(literal 1 binary32)))
(*.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (fabs.f32 x) #s(literal 1 binary32)))
(*.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x #s(literal 1 binary32)))
(*.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)))
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
(*.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32)))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 x (*.f32 x #s(literal 1 binary32)))
(*.f32 x x)
(sqrt.f32 (pow.f32 x #s(literal 4 binary32)))
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 (fabs.f32 x) #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(fabs.f32 (*.f32 (neg.f32 x) x))
(fabs.f32 (*.f32 x (neg.f32 x)))
(fabs.f32 (*.f32 x x))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 x) x))
(neg.f32 (*.f32 x (neg.f32 x)))
#s(literal 1 binary32)

eval19.0ms (0.6%)

Memory
15.0MiB live, 60.5MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 692 to 786 computations (70.8% saved)

prune7.0ms (0.2%)

Memory
23.9MiB live, 23.9MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1427149
Fresh000
Picked101
Done000
Total1437150
Accuracy
100.0%
Counts
150 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.4%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x)
33.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
24.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
11.0%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
99.5%
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
54.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
56.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x)
Compiler

Compiled 282 to 188 computations (33.3% saved)

series182.0ms (5.8%)

Memory
-7.2MiB live, 317.4MiB allocated; 54ms collecting garbage
Counts
25 → 50
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(asinh.f32 (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
(neg.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x)
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(literal 1/2 binary32)
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
#s(literal -1 binary32)
(log1p.f32 (fabs.f32 x))
Outputs
#s(approx (copysign (asinh (fabs x)) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x)))
#s(approx (asinh (fabs x)) #s(hole binary32 (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2)))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (* (/ 1/2 (- (fabs x) -1)) x) #s(hole binary32 (* 1/2 (/ x (+ 1 (fabs x))))))
#s(approx (/ 1/2 (- (fabs x) -1)) #s(hole binary32 (/ 1/2 (+ 1 (fabs x)))))
#s(approx (- (fabs x) -1) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (log (+ 1 (fabs x))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Calls

3 calls:

TimeVariablePointExpression
81.0ms
x
@inf
((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (- (fabs x) -1)) x) (/ 1/2 (- (fabs x) -1)) 1/2 (- (fabs x) -1) -1 (log (+ 1 (fabs x))))
58.0ms
x
@0
((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (- (fabs x) -1)) x) (/ 1/2 (- (fabs x) -1)) 1/2 (- (fabs x) -1) -1 (log (+ 1 (fabs x))))
42.0ms
x
@-inf
((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (- (fabs x) -1)) x) (/ 1/2 (- (fabs x) -1)) 1/2 (- (fabs x) -1) -1 (log (+ 1 (fabs x))))

simplify211.0ms (6.8%)

Memory
-0.2MiB live, 219.1MiB allocated; 56ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02421133
16621109
227871093
08850987
Stop Event
iter limit
node limit
Counts
50 → 50
Calls
Call 1
Inputs
#s(approx (copysign (asinh (fabs x)) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x)))
#s(approx (asinh (fabs x)) #s(hole binary32 (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2)))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (* (/ 1/2 (- (fabs x) -1)) x) #s(hole binary32 (* 1/2 (/ x (+ 1 (fabs x))))))
#s(approx (/ 1/2 (- (fabs x) -1)) #s(hole binary32 (/ 1/2 (+ 1 (fabs x)))))
#s(approx (- (fabs x) -1) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (log (+ 1 (fabs x))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
#s(approx (copysign (asinh (fabs x)) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x)))
#s(approx (copysign (asinh (fabs x)) x) (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x))
#s(approx (asinh (fabs x)) #s(hole binary32 (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2)))))))
#s(approx (asinh (fabs x)) (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx (fabs x) (fabs.f32 x))
#s(approx x #s(hole binary32 x))
#s(approx x x)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x (log1p.f32 (fabs.f32 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 45 binary32)) (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 45 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x)) #s(literal -1 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) (fma.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (neg x) (neg.f32 x))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (log1p.f32 (fabs.f32 x)))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (fma.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x (log1p.f32 (fabs.f32 x))))
#s(approx (* (/ 1/2 (- (fabs x) -1)) x) #s(hole binary32 (* 1/2 (/ x (+ 1 (fabs x))))))
#s(approx (* (/ 1/2 (- (fabs x) -1)) x) (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ 1/2 (- (fabs x) -1)) #s(hole binary32 (/ 1/2 (+ 1 (fabs x)))))
#s(approx (/ 1/2 (- (fabs x) -1)) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
#s(approx (- (fabs x) -1) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (- (fabs x) -1) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(approx (log (+ 1 (fabs x))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ 1 (fabs x))) (log1p.f32 (fabs.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal -1/2 binary32) (fabs.f32 x)) x) (log.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) (fabs.f32 x))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal -1/2 binary32) (fabs.f32 x)) x) (log.f32 x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) x x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (-.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (*.f32 x x)) (/.f32 #s(literal -1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fabs.f32 x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) (fabs.f32 x))) x) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x)) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x (neg.f32 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 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)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))) x))

rewrite94.0ms (3%)

Memory
7.9MiB live, 107.4MiB allocated; 72ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032230
052183
1157183
01072183
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
25 → 131
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(asinh.f32 (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
(neg.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x)
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(literal 1/2 binary32)
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
#s(literal -1 binary32)
(log1p.f32 (fabs.f32 x))
Outputs
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (log.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x))))
(asinh.f32 (fabs.f32 x))
(*.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)))
(*.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)))
(*.f32 (sqrt.f32 x) (sqrt.f32 x))
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (fabs.f32 x)))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(sqrt.f32 (*.f32 x x))
(pow.f32 (*.f32 x x) #s(literal 1/2 binary32))
(pow.f32 x #s(literal 1 binary32))
(fabs.f32 (neg.f32 (neg.f32 x)))
(fabs.f32 (neg.f32 x))
(fabs.f32 (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x))
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(fma.f32 #s(literal 1 binary32) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
#s(literal -1 binary32)
(log.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x))))
(-.f32 (log1p.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))))
(log1p.f32 (fabs.f32 x))

eval49.0ms (1.6%)

Memory
6.9MiB live, 51.2MiB allocated; 10ms collecting garbage
Compiler

Compiled 6 743 to 1 104 computations (83.6% saved)

prune16.0ms (0.5%)

Memory
-14.2MiB live, 31.0MiB allocated; 8ms collecting garbage
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New2602262
Fresh022
Picked055
Done000
Total2609269
Accuracy
100.0%
Counts
269 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.4%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x)
33.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
24.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
11.0%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
45.1%
(copysign.f32 (asinh.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 x))) x)
99.5%
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
54.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
56.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x)
13.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) x)
Compiler

Compiled 189 to 126 computations (33.3% saved)

series58.0ms (1.8%)

Memory
21.3MiB live, 122.9MiB allocated; 25ms collecting garbage
Counts
36 → 91
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))
(*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)
(*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32))
(/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
x
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
(fabs.f32 x)
#s(literal -1 binary32)
#s(literal 1/2 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(*.f32 #s(literal -1/24 binary32) (*.f32 x x))
#s(literal -1/24 binary32)
(*.f32 x x)
(/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32))
(/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(literal 3 binary32)
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(log1p.f32 (fabs.f32 x))
(copysign.f32 (asinh.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 x))) x)
(asinh.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 x)))
(*.f32 (sqrt.f32 x) (sqrt.f32 x))
(sqrt.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)
(+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
#s(literal -1/2 binary32)
Outputs
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (* (* (/ x (- (fabs x) -1)) 1/2) x) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (* (/ x (- (fabs x) -1)) 1/2) #s(hole binary32 (* 1/2 (/ x (+ 1 (fabs x))))))
#s(approx (/ x (- (fabs x) -1)) #s(hole binary32 (/ x (+ 1 (fabs x)))))
#s(approx x #s(hole binary32 x))
#s(approx (- (fabs x) -1) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) #s(hole binary32 (/ 1/2 (+ 1 (fabs x)))))
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) #s(hole binary32 (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
#s(approx (* -1/24 (* x x)) #s(hole binary32 (* -1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1)) #s(hole binary32 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))))
#s(approx (+ (/ 3 (- (fabs x) -1)) 3) #s(hole binary32 (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))))
#s(approx (/ 3 (- (fabs x) -1)) #s(hole binary32 (/ 3 (+ 1 (fabs x)))))
#s(approx (/ 1/2 (- (fabs x) -1)) #s(hole binary32 (/ 1/2 (+ 1 (fabs x)))))
#s(approx (log (+ 1 (fabs x))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 x))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (* (sqrt x) (sqrt x)) #s(hole binary32 x))
#s(approx (sqrt x) #s(hole binary32 (sqrt x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (/ -1/2 x)))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (/ (- (* -1 (pow x 2)) 1/2) x)))
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 (/ -1/2 (pow x 2))))
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 (/ (- (* -1 (pow x 2)) 1/2) (pow x 2))))
#s(approx (/ -1/2 (* x x)) #s(hole binary32 (/ -1/2 (pow x 2))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))))
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) #s(hole binary32 (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))))
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) #s(hole binary32 (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (* -1 x)))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 -1))
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 (* -1 (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x)))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8)))))))
#s(approx (* (sqrt x) (sqrt x)) #s(hole binary32 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (sqrt x) #s(hole binary32 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Calls

3 calls:

TimeVariablePointExpression
22.0ms
x
@inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ x (- (fabs x) -1)) 1/2) x) (* (/ x (- (fabs x) -1)) 1/2) (/ x (- (fabs x) -1)) x (- (fabs x) -1) (fabs x) -1 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* -1/24 (* x x)) -1/24 (* x x) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1)) (+ (/ 3 (- (fabs x) -1)) 3) (/ 3 (- (fabs x) -1)) 3 (/ 1/2 (- (fabs x) -1)) (log (+ 1 (fabs x))) (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x) (+ (/ -1/2 (* x x)) -1) (/ -1/2 (* x x)) -1/2)
21.0ms
x
@-inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ x (- (fabs x) -1)) 1/2) x) (* (/ x (- (fabs x) -1)) 1/2) (/ x (- (fabs x) -1)) x (- (fabs x) -1) (fabs x) -1 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* -1/24 (* x x)) -1/24 (* x x) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1)) (+ (/ 3 (- (fabs x) -1)) 3) (/ 3 (- (fabs x) -1)) 3 (/ 1/2 (- (fabs x) -1)) (log (+ 1 (fabs x))) (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x) (+ (/ -1/2 (* x x)) -1) (/ -1/2 (* x x)) -1/2)
13.0ms
x
@0
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ x (- (fabs x) -1)) 1/2) x) (* (/ x (- (fabs x) -1)) 1/2) (/ x (- (fabs x) -1)) x (- (fabs x) -1) (fabs x) -1 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* -1/24 (* x x)) -1/24 (* x x) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1)) (+ (/ 3 (- (fabs x) -1)) 3) (/ 3 (- (fabs x) -1)) 3 (/ 1/2 (- (fabs x) -1)) (log (+ 1 (fabs x))) (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x) (+ (/ -1/2 (* x x)) -1) (/ -1/2 (* x x)) -1/2)

simplify184.0ms (5.9%)

Memory
3.7MiB live, 238.8MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03992195
110771876
248181842
084041684
Stop Event
iter limit
node limit
Counts
91 → 91
Calls
Call 1
Inputs
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (* (* (/ x (- (fabs x) -1)) 1/2) x) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (* (/ x (- (fabs x) -1)) 1/2) #s(hole binary32 (* 1/2 (/ x (+ 1 (fabs x))))))
#s(approx (/ x (- (fabs x) -1)) #s(hole binary32 (/ x (+ 1 (fabs x)))))
#s(approx x #s(hole binary32 x))
#s(approx (- (fabs x) -1) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) #s(hole binary32 (/ 1/2 (+ 1 (fabs x)))))
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) #s(hole binary32 (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
#s(approx (* -1/24 (* x x)) #s(hole binary32 (* -1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1)) #s(hole binary32 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))))
#s(approx (+ (/ 3 (- (fabs x) -1)) 3) #s(hole binary32 (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))))
#s(approx (/ 3 (- (fabs x) -1)) #s(hole binary32 (/ 3 (+ 1 (fabs x)))))
#s(approx (/ 1/2 (- (fabs x) -1)) #s(hole binary32 (/ 1/2 (+ 1 (fabs x)))))
#s(approx (log (+ 1 (fabs x))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 x))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (* (sqrt x) (sqrt x)) #s(hole binary32 x))
#s(approx (sqrt x) #s(hole binary32 (sqrt x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (/ -1/2 x)))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (/ (- (* -1 (pow x 2)) 1/2) x)))
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 (/ -1/2 (pow x 2))))
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 (/ (- (* -1 (pow x 2)) 1/2) (pow x 2))))
#s(approx (/ -1/2 (* x x)) #s(hole binary32 (/ -1/2 (pow x 2))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))))
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) #s(hole binary32 (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))))
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) #s(hole binary32 (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (* -1 x)))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 -1))
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 (* -1 (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x)))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8)))))))
#s(approx (* (sqrt x) (sqrt x)) #s(hole binary32 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (sqrt x) #s(hole binary32 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x (-.f32 x #s(literal -1 binary32)))) x (log1p.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 x x) (log1p.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
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#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (* -1 x)))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x))
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 -1))
#s(approx (+ (/ -1/2 (* x x)) -1) #s(literal -1 binary32))
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 (* -1 (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (/ -1/2 (* x x)) -1) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 x x) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) x) #s(literal 1/2 binary32) x) x) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal -3 binary32) x)) x) #s(literal -1/6 binary32) (*.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))) x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x)))
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) (copysign.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) (-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) (-.f32 (-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8)))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) (-.f32 (-.f32 (-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 12 binary32)))) (/.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (* (sqrt x) (sqrt x)) #s(hole binary32 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) (sqrt x)) x)
#s(approx (sqrt x) #s(hole binary32 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt x) (sqrt.f32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 x x) x x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 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)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x))

rewrite91.0ms (2.9%)

Memory
-11.3MiB live, 177.1MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050443
081349
1272337
02008330
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
36 → 283
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))
(*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)
(*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32))
(/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
x
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
(fabs.f32 x)
#s(literal -1 binary32)
#s(literal 1/2 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(*.f32 #s(literal -1/24 binary32) (*.f32 x x))
#s(literal -1/24 binary32)
(*.f32 x x)
(/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32))
(/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(literal 3 binary32)
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(log1p.f32 (fabs.f32 x))
(copysign.f32 (asinh.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 x))) x)
(asinh.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 x)))
(*.f32 (sqrt.f32 x) (sqrt.f32 x))
(sqrt.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)
(+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
#s(literal -1/2 binary32)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 x (/.f32 x (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 x (/.f32 x (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 x (/.f32 x (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
(*.f32 (*.f32 x (/.f32 x (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x))
(*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x)))
(*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) (sqrt.f32 x)) (sqrt.f32 x))
(*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (-.f32 x #s(literal -1 binary32))))
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x)))
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x))
(*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))
(*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) x))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x)
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x))
(*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x))
(/.f32 (*.f32 (neg.f32 x) (*.f32 #s(literal 1/2 binary32) x)) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (-.f32 x #s(literal -1 binary32)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32)))
(/.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (-.f32 x #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x)) (sqrt.f32 x))
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x)
(*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 x #s(literal -1 binary32))))
(*.f32 x (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))
(/.f32 (*.f32 (neg.f32 x) #s(literal 1/2 binary32)) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 x)) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal -1/2 binary32) x) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32)))
(neg.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal -1/2 binary32)))
(neg.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x (-.f32 x #s(literal -1 binary32)))))
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))))
(*.f32 (neg.f32 (sqrt.f32 x)) (/.f32 (neg.f32 (sqrt.f32 x)) (-.f32 x #s(literal -1 binary32))))
(*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))))
(/.f32 (neg.f32 x) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 x (neg.f32 (neg.f32 (-.f32 x #s(literal -1 binary32)))))
(/.f32 x (-.f32 x #s(literal -1 binary32)))
(neg.f32 (/.f32 (neg.f32 x) (-.f32 x #s(literal -1 binary32))))
(neg.f32 (/.f32 x (neg.f32 (-.f32 x #s(literal -1 binary32)))))
x
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (+.f32 #s(literal -1 binary32) x)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (neg.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x #s(literal 1 binary32)))
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) x))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) x))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 x x (-.f32 #s(literal 1 binary32) x)))
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(+.f32 (/.f32 (pow.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 2 binary32)) #s(literal 9 binary32)) (/.f32 #s(literal 9 binary32) (-.f32 x #s(literal -1 binary32))))) (/.f32 #s(literal 27 binary32) (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 2 binary32)) #s(literal 9 binary32)) (/.f32 #s(literal 9 binary32) (-.f32 x #s(literal -1 binary32))))))
(+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32))
(+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 3 binary32) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 #s(literal 3 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))))
(/.f32 #s(literal -3 binary32) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 #s(literal 3 binary32) (neg.f32 (neg.f32 (-.f32 x #s(literal -1 binary32)))))
(/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -3 binary32) (-.f32 x #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal 3 binary32) (neg.f32 (-.f32 x #s(literal -1 binary32)))))
#s(literal 3 binary32)
(*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))))
(/.f32 #s(literal -1/2 binary32) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (neg.f32 (-.f32 x #s(literal -1 binary32)))))
(/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 (-.f32 x #s(literal -1 binary32)))))
(neg.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 x #s(literal -1 binary32))))
(log.f32 (-.f32 x #s(literal -1 binary32)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 x)))
(-.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) x)))
(log1p.f32 x)
(copysign.f32 (asinh.f32 x) x)
(log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) x))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 x (cosh.f32 (asinh.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) x) (*.f32 x x))))
(asinh.f32 x)
x
(*.f32 (pow.f32 x #s(literal 1/4 binary32)) (pow.f32 x #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (sqrt.f32 x))) (sqrt.f32 (neg.f32 (sqrt.f32 x))))
(*.f32 (sqrt.f32 (sqrt.f32 x)) (sqrt.f32 (sqrt.f32 x)))
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (sqrt.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 1/2 binary32)))
(sqrt.f32 x)
(/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal -1/2 binary32)))
(pow.f32 (sqrt.f32 x) #s(literal 1 binary32))
(pow.f32 (*.f32 x x) #s(literal 1/4 binary32))
(pow.f32 x #s(literal 1/2 binary32))
(fabs.f32 (neg.f32 (sqrt.f32 x)))
(fabs.f32 (sqrt.f32 x))
(exp.f32 (*.f32 (log.f32 x) #s(literal 1/2 binary32)))
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) x))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) x) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 2 binary32)) (*.f32 x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) x))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 2 binary32)))) (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) x) (*.f32 x x))))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 2 binary32))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))))
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 2 binary32)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) x))))
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) x) (*.f32 x x)))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 2 binary32)) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))))
(-.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) (neg.f32 x))
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) x) (*.f32 x x))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) x) (*.f32 x x))))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) x)
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))
(*.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x)))
(*.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) (sqrt.f32 x)) (sqrt.f32 x))
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))))
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))))
(*.f32 x (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) x) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)))
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) x) (-.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
(/.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)))
(/.f32 (*.f32 x (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32))) (-.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
(fma.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x))
(fma.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x (*.f32 #s(literal -1 binary32) x))
(fma.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x))
(fma.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))
(fma.f32 #s(literal -1 binary32) x (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x))
(fma.f32 #s(literal -1 binary32) x (*.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1 binary32) x))
(fma.f32 x #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x))
(fma.f32 x #s(literal -1 binary32) (*.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))
(+.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x) (*.f32 #s(literal -1 binary32) x))
(+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 #s(literal -1 binary32) x))
(+.f32 (*.f32 #s(literal -1 binary32) x) (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x))
(+.f32 (*.f32 #s(literal -1 binary32) x) (*.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) (neg.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32))) (neg.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))
(/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)))
(/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))
(/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
(-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))))
(+.f32 (/.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (/.f32 #s(literal -1 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))
(+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x)))
(/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) (sqrt.f32 x)) (sqrt.f32 x))
(/.f32 (/.f32 #s(literal -1/2 binary32) (neg.f32 x)) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 #s(literal -1/2 binary32) x)) (neg.f32 x))
(/.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 x) x))
(neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
#s(literal -1/2 binary32)

eval95.0ms (3%)

Memory
20.9MiB live, 129.0MiB allocated; 37ms collecting garbage
Compiler

Compiled 21 386 to 2 710 computations (87.3% saved)

prune72.0ms (2.3%)

Memory
-11.4MiB live, 82.5MiB allocated; 7ms collecting garbage
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New51112523
Fresh000
Picked224
Done325
Total51616532
Accuracy
100.0%
Counts
532 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.4%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x)
33.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
24.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
99.5%
(copysign.f32 (asinh.f32 x) x)
12.6%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))))) x)
12.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) x))) x)
12.6%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))) x)
12.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) x))) x)
13.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) x)
12.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x))) x)
6.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x)) (sqrt.f32 x)) x))) x)
6.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) (sqrt.f32 x)) (sqrt.f32 x)))) x)
6.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))) x)
54.6%
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) x)) x)
54.7%
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)) x)
55.4%
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) x) x)
Compiler

Compiled 849 to 562 computations (33.8% saved)

series20.0ms (0.6%)

Memory
4.0MiB live, 48.3MiB allocated; 6ms collecting garbage
Counts
28 → 136
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 x) x)
(asinh.f32 x)
x
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) x) x)
#s(approx (asinh (* (sqrt x) (sqrt x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x))
(/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))
#s(literal 1/2 binary32)
(-.f32 x #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 x x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32)))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32)))
(*.f32 (*.f32 #s(literal 1/2 binary32) x) x)
(*.f32 #s(literal 1/2 binary32) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x)))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))
(*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x)
(*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))))
(sqrt.f32 x)
(/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))
Outputs
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh x) #s(hole binary32 x))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary32 x))
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 x))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1/2 x)))))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2))))))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 1/2))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (+ 1/2 (* -1/2 x))))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (+ 1/2 (* x (- (* 1/2 x) 1/2)))))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))))
#s(approx (- x -1) #s(hole binary32 1))
#s(approx (- x -1) #s(hole binary32 (+ 1 x)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1/2 x)))))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2))))))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))))
#s(approx (* (* 1/2 x) x) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (* 1/2 x) #s(hole binary32 (* 1/2 x)))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1/2 x)))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* 1/2 x)))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* x (+ 1/2 (* -1/2 x)))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* x (+ 1/2 (* x (- (* 1/2 x) 1/2))))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* x (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 x))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* x (+ 1 (* -1 x)))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* x (+ 1 (* x (- x 1))))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (sqrt x) #s(hole binary32 (sqrt x)))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (sqrt x)))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt x) (* -1 (sqrt (pow x 3))))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* -1 (sqrt x)))))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt x) (* x (+ (* -1 (sqrt x)) (* x (+ (sqrt x) (* -1 (sqrt (pow x 3))))))))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* 1/2 x)))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* x (- 1/2 (* 1/2 (/ 1 x))))))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (/ 1/2 x)))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (/ (- 1/2 (* 1/2 (/ 1 x))) x)))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (/ (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) x)))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (/ (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) x)))
#s(approx (- x -1) #s(hole binary32 x))
#s(approx (- x -1) #s(hole binary32 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* 1/2 x)))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* x (- 1/2 (* 1/2 (/ 1 x))))))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* 1/2 x)))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* x (- 1/2 (* 1/2 (/ 1 x))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 1/2))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x)))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 1))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (- 1 (/ 1 x))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (sqrt (/ 1 x))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* -1 (sqrt (/ 1 (pow x 3))))))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1 (sqrt (/ 1 (pow x 7)))))))))
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh x) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x)))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2)))))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2)))))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x))))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x))))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2) x))))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2)))))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2)))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1/2 (* x (pow (sqrt -1) 2)))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2)))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (* 1/2 (pow (sqrt -1) 2)))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (* 1/2 (pow (sqrt -1) 2)))))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* -1/2 (pow (sqrt -1) 2))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (+ (* -1/2 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x)))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x))) x)) (* -1/2 (pow (sqrt -1) 2)))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x))) x)) (* -1/2 (pow (sqrt -1) 2))) x)) (* -1/2 (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* -1 (pow (sqrt -1) 2))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (+ (* -1 (pow (sqrt -1) 2)) (/ (pow (sqrt -1) 2) x))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (+ (* -1 (/ (- (/ (pow (sqrt -1) 2) x) (pow (sqrt -1) 2)) x)) (* -1 (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sqrt -1) 2) x) (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2)) x)) (* -1 (pow (sqrt -1) 2)))))
#s(approx (sqrt x) #s(hole binary32 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x)))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x))) x)))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@inf
((copysign (asinh x) x) (asinh x) x (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (- x -1)) (* x x)) (/ 1/2 (- x -1)) 1/2 (- x -1) -1 (* x x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/ (* (* 1/2 x) x) (- x -1)) (* (* 1/2 x) x) (* 1/2 x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (* (sqrt x) (/ (sqrt x) (- x -1))) (sqrt x) (/ (sqrt x) (- x -1)))
7.0ms
x
@-inf
((copysign (asinh x) x) (asinh x) x (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (- x -1)) (* x x)) (/ 1/2 (- x -1)) 1/2 (- x -1) -1 (* x x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/ (* (* 1/2 x) x) (- x -1)) (* (* 1/2 x) x) (* 1/2 x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (* (sqrt x) (/ (sqrt x) (- x -1))) (sqrt x) (/ (sqrt x) (- x -1)))
5.0ms
x
@0
((copysign (asinh x) x) (asinh x) x (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (- x -1)) (* x x)) (/ 1/2 (- x -1)) 1/2 (- x -1) -1 (* x x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/ (* (* 1/2 x) x) (- x -1)) (* (* 1/2 x) x) (* 1/2 x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (* (sqrt x) (/ (sqrt x) (- x -1))) (sqrt x) (/ (sqrt x) (- x -1)))

simplify203.0ms (6.5%)

Memory
-16.2MiB live, 214.0MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04912777
112472489
053832388
Stop Event
iter limit
iter limit
node limit
Counts
136 → 136
Calls
Call 1
Inputs
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh x) #s(hole binary32 x))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary32 x))
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 x))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1/2 x)))))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2))))))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 1/2))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (+ 1/2 (* -1/2 x))))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (+ 1/2 (* x (- (* 1/2 x) 1/2)))))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))))
#s(approx (- x -1) #s(hole binary32 1))
#s(approx (- x -1) #s(hole binary32 (+ 1 x)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1/2 x)))))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2))))))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))))
#s(approx (* (* 1/2 x) x) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (* 1/2 x) #s(hole binary32 (* 1/2 x)))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1/2 x)))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* 1/2 x)))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* x (+ 1/2 (* -1/2 x)))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* x (+ 1/2 (* x (- (* 1/2 x) 1/2))))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* x (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 x))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* x (+ 1 (* -1 x)))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* x (+ 1 (* x (- x 1))))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (sqrt x) #s(hole binary32 (sqrt x)))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (sqrt x)))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt x) (* -1 (sqrt (pow x 3))))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* -1 (sqrt x)))))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt x) (* x (+ (* -1 (sqrt x)) (* x (+ (sqrt x) (* -1 (sqrt (pow x 3))))))))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* 1/2 x)))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* x (- 1/2 (* 1/2 (/ 1 x))))))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (/ 1/2 x)))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (/ (- 1/2 (* 1/2 (/ 1 x))) x)))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (/ (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) x)))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (/ (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) x)))
#s(approx (- x -1) #s(hole binary32 x))
#s(approx (- x -1) #s(hole binary32 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* 1/2 x)))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* x (- 1/2 (* 1/2 (/ 1 x))))))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* 1/2 x)))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* x (- 1/2 (* 1/2 (/ 1 x))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 1/2))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x)))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 1))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (- 1 (/ 1 x))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (sqrt (/ 1 x))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* -1 (sqrt (/ 1 (pow x 3))))))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1 (sqrt (/ 1 (pow x 7)))))))))
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh x) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x)))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8))))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2)))))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2)))))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x))))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x))))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2) x))))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2)))))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2)))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1/2 (* x (pow (sqrt -1) 2)))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2)))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (* 1/2 (pow (sqrt -1) 2)))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (* 1/2 (pow (sqrt -1) 2)))))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* -1/2 (pow (sqrt -1) 2))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (+ (* -1/2 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x)))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x))) x)) (* -1/2 (pow (sqrt -1) 2)))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x))) x)) (* -1/2 (pow (sqrt -1) 2))) x)) (* -1/2 (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* -1 (pow (sqrt -1) 2))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (+ (* -1 (pow (sqrt -1) 2)) (/ (pow (sqrt -1) 2) x))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (+ (* -1 (/ (- (/ (pow (sqrt -1) 2) x) (pow (sqrt -1) 2)) x)) (* -1 (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sqrt -1) 2) x) (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2)) x)) (* -1 (pow (sqrt -1) 2)))))
#s(approx (sqrt x) #s(hole binary32 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x)))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x))) x)))))
Outputs
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x))
#s(approx (asinh x) #s(hole binary32 x))
#s(approx (asinh x) x)
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) x))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (asinh x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) x) x) #s(literal 1/6 binary32)) x))
#s(approx x #s(hole binary32 x))
#s(approx x x)
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 x))
#s(approx (asinh x) x)
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) x))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (asinh x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) x) x) #s(literal 1/6 binary32)) x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x (log1p.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) x))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log1p.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (-.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (/.f32 #s(literal -30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 3 binary32)))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) x))) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) x)))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log1p.f32 x)))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (log1p.f32 x))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x (log1p.f32 x)))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1/2 x)))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x) x))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x) x))
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x) x))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 1/2))
#s(approx (/ 1/2 (- x -1)) #s(literal 1/2 binary32))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (+ 1/2 (* -1/2 x))))
#s(approx (/ 1/2 (- x -1)) (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (+ 1/2 (* x (- (* 1/2 x) 1/2)))))
#s(approx (/ 1/2 (- x -1)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)))
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))))
#s(approx (/ 1/2 (- x -1)) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)))
#s(approx (- x -1) #s(hole binary32 1))
#s(approx (- x -1) #s(literal 1 binary32))
#s(approx (- x -1) #s(hole binary32 (+ 1 x)))
#s(approx (- x -1) (+.f32 #s(literal 1 binary32) x))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* x x) (*.f32 x x))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1/2 x)))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x) x))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x) x))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x) x))
#s(approx (* (* 1/2 x) x) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (* (* 1/2 x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))
#s(approx (* 1/2 x) #s(hole binary32 (* 1/2 x)))
#s(approx (* 1/2 x) (*.f32 #s(literal 1/2 binary32) x))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1/2 x)))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x) x))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x) x))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x) x))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* 1/2 x)))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (*.f32 #s(literal 1/2 binary32) x))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* x (+ 1/2 (* -1/2 x)))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* x (+ 1/2 (* x (- (* 1/2 x) 1/2))))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (*.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* x (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 x))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) x)
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* x (+ 1 (* -1 x)))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) (*.f32 (-.f32 #s(literal 1 binary32) x) x))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* x (+ 1 (* x (- x 1))))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) (*.f32 (fma.f32 (-.f32 x #s(literal 1 binary32)) x #s(literal 1 binary32)) x))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) (*.f32 (fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x #s(literal 1 binary32)) x))
#s(approx (sqrt x) #s(hole binary32 (sqrt x)))
#s(approx (sqrt x) (sqrt.f32 x))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (sqrt x)))
#s(approx (/ (sqrt x) (- x -1)) (sqrt.f32 x))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt x) (* -1 (sqrt (pow x 3))))))
#s(approx (/ (sqrt x) (- x -1)) (-.f32 (sqrt.f32 x) (sqrt.f32 (pow.f32 x #s(literal 3 binary32)))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* -1 (sqrt x)))))))
#s(approx (/ (sqrt x) (- x -1)) (fma.f32 (-.f32 (sqrt.f32 (pow.f32 x #s(literal 3 binary32))) (sqrt.f32 x)) x (sqrt.f32 x)))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt x) (* x (+ (* -1 (sqrt x)) (* x (+ (sqrt x) (* -1 (sqrt (pow x 3))))))))))
#s(approx (/ (sqrt x) (- x -1)) (fma.f32 (fma.f32 (-.f32 (sqrt.f32 x) (sqrt.f32 (pow.f32 x #s(literal 3 binary32)))) x (neg.f32 (sqrt.f32 x))) x (sqrt.f32 x)))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) (-.f32 (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
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#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2)))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) x))
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2)))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (neg.f32 x) (-.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1/2 binary32)) x))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1/2 (* x (pow (sqrt -1) 2)))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 #s(literal 1/2 binary32) x))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2)))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (* 1/2 (pow (sqrt -1) 2)))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) x))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (* 1/2 (pow (sqrt -1) 2)))))))
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (neg.f32 x) (-.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1/2 binary32)) x))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* -1/2 (pow (sqrt -1) 2))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(literal 1/2 binary32))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (+ (* -1/2 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x)))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x))) x)) (* -1/2 (pow (sqrt -1) 2)))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x))) x)) (* -1/2 (pow (sqrt -1) 2))) x)) (* -1/2 (pow (sqrt -1) 2)))))
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* -1 (pow (sqrt -1) 2))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(literal 1 binary32))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (+ (* -1 (pow (sqrt -1) 2)) (/ (pow (sqrt -1) 2) x))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) (-.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (+ (* -1 (/ (- (/ (pow (sqrt -1) 2) x) (pow (sqrt -1) 2)) x)) (* -1 (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)) x) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sqrt -1) 2) x) (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2)) x)) (* -1 (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)) x) #s(literal -1 binary32) #s(literal 1 binary32)) x) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (sqrt x) #s(hole binary32 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt x) (sqrt.f32 x))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (sqrt x) (- x -1)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (sqrt x) (- x -1)) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x)))))
#s(approx (/ (sqrt x) (- x -1)) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) x)))
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x))) x)))))
#s(approx (/ (sqrt x) (- x -1)) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) x)) x)))

rewrite70.0ms (2.2%)

Memory
11.1MiB live, 98.9MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045423
063325
1180325
01089298
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
28 → 220
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 x) x)
(asinh.f32 x)
x
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) x) x)
#s(approx (asinh (* (sqrt x) (sqrt x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x))
(/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))
#s(literal 1/2 binary32)
(-.f32 x #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 x x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32)))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32)))
(*.f32 (*.f32 #s(literal 1/2 binary32) x) x)
(*.f32 #s(literal 1/2 binary32) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x)))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))
(*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x)
(*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))))
(sqrt.f32 x)
(/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))
Outputs
(copysign.f32 (asinh.f32 x) x)
(log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) x))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 x (cosh.f32 (asinh.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) x) (*.f32 x x))))
(asinh.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32)))
(*.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))))
(*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32))
(*.f32 (*.f32 x (/.f32 x (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) (sqrt.f32 x))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x))
(*.f32 (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x)))
(*.f32 (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 x)) (sqrt.f32 x))
(*.f32 (*.f32 x (sqrt.f32 x)) (/.f32 (*.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (-.f32 x #s(literal -1 binary32))))
(*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (sqrt.f32 x)) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))))
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32))))
(*.f32 (neg.f32 x) (*.f32 (neg.f32 x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))))
(*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) x))
(*.f32 (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))) (*.f32 (sqrt.f32 x) (*.f32 #s(literal 1/2 binary32) x)))
(*.f32 (sqrt.f32 x) (*.f32 (/.f32 (*.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (-.f32 x #s(literal -1 binary32))) x))
(*.f32 (sqrt.f32 x) (*.f32 (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) x)))
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (-.f32 x #s(literal -1 binary32))))
(*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x))
(*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (-.f32 x #s(literal -1 binary32))))
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x))
(*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (-.f32 x #s(literal -1 binary32)))))
(*.f32 x (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (neg.f32 (neg.f32 (-.f32 x #s(literal -1 binary32)))))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32)))
(neg.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (-.f32 x #s(literal -1 binary32))))
(neg.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (neg.f32 (-.f32 x #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))))
(/.f32 #s(literal -1/2 binary32) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (neg.f32 (-.f32 x #s(literal -1 binary32)))))
(/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 x #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 (-.f32 x #s(literal -1 binary32)))))
#s(literal 1/2 binary32)
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (neg.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (+.f32 #s(literal -1 binary32) x)))
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x #s(literal 1 binary32)))
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) x))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) x))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 x x (-.f32 #s(literal 1 binary32) x)))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) x)))
(-.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) x)))
(-.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)))))
(-.f32 #s(literal 1 binary32) (neg.f32 x))
(-.f32 x #s(literal -1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)) (/.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(+.f32 #s(literal 1 binary32) x)
(+.f32 x #s(literal 1 binary32))
#s(literal -1 binary32)
(*.f32 (*.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal -1 binary32))
(*.f32 (*.f32 x (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x)))
(*.f32 (*.f32 x (sqrt.f32 x)) (sqrt.f32 x))
(*.f32 (*.f32 (neg.f32 x) #s(literal -1 binary32)) (*.f32 (neg.f32 x) #s(literal -1 binary32)))
(*.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (*.f32 (neg.f32 x) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal -1 binary32) x) (*.f32 #s(literal -1 binary32) x))
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) x))
(*.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) x))
(*.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 x x)
(sqrt.f32 (pow.f32 x #s(literal 4 binary32)))
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 x) #s(literal 4 binary32))
(pow.f32 (*.f32 x x) #s(literal 1 binary32))
(pow.f32 x #s(literal 2 binary32))
(fabs.f32 (*.f32 (neg.f32 x) x))
(fabs.f32 (*.f32 x (neg.f32 x)))
(fabs.f32 (*.f32 x x))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 x) x))
(neg.f32 (*.f32 x (neg.f32 x)))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32)))
(*.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))))
(*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32))
(*.f32 (*.f32 x (/.f32 x (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) (sqrt.f32 x))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x))
(*.f32 (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x)))
(*.f32 (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 x)) (sqrt.f32 x))
(*.f32 (*.f32 x (sqrt.f32 x)) (/.f32 (*.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (-.f32 x #s(literal -1 binary32))))
(*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (sqrt.f32 x)) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))))
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32))))
(*.f32 (neg.f32 x) (*.f32 (neg.f32 x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))))
(*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) x))
(*.f32 (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))) (*.f32 (sqrt.f32 x) (*.f32 #s(literal 1/2 binary32) x)))
(*.f32 (sqrt.f32 x) (*.f32 (/.f32 (*.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (-.f32 x #s(literal -1 binary32))) x))
(*.f32 (sqrt.f32 x) (*.f32 (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) x)))
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (-.f32 x #s(literal -1 binary32))))
(*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x))
(*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (-.f32 x #s(literal -1 binary32))))
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x))
(*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (-.f32 x #s(literal -1 binary32)))))
(*.f32 x (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (neg.f32 (neg.f32 (-.f32 x #s(literal -1 binary32)))))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32)))
(neg.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (-.f32 x #s(literal -1 binary32))))
(neg.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (neg.f32 (-.f32 x #s(literal -1 binary32)))))
(*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x)))
(*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (sqrt.f32 x)) (sqrt.f32 x))
(*.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 x)) (neg.f32 x))
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 #s(literal 1/2 binary32) x)))
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (*.f32 #s(literal 1/2 binary32) x)))
(*.f32 (*.f32 #s(literal 1/2 binary32) x) x)
(*.f32 (*.f32 x x) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
(*.f32 x (*.f32 #s(literal 1/2 binary32) x))
(*.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x)))
(*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 x)) (sqrt.f32 x))
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) #s(literal 1/2 binary32)))
(*.f32 #s(literal 1/2 binary32) x)
(*.f32 x #s(literal 1/2 binary32))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32)))
(*.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))))
(*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32))
(*.f32 (*.f32 x (/.f32 x (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) (sqrt.f32 x))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x))
(*.f32 (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x)))
(*.f32 (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 x)) (sqrt.f32 x))
(*.f32 (*.f32 x (sqrt.f32 x)) (/.f32 (*.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (-.f32 x #s(literal -1 binary32))))
(*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (sqrt.f32 x)) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))))
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32))))
(*.f32 (neg.f32 x) (*.f32 (neg.f32 x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))))
(*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) x))
(*.f32 (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))) (*.f32 (sqrt.f32 x) (*.f32 #s(literal 1/2 binary32) x)))
(*.f32 (sqrt.f32 x) (*.f32 (/.f32 (*.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (-.f32 x #s(literal -1 binary32))) x))
(*.f32 (sqrt.f32 x) (*.f32 (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) x)))
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (-.f32 x #s(literal -1 binary32))))
(*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x))
(*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (-.f32 x #s(literal -1 binary32))))
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x))
(*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (-.f32 x #s(literal -1 binary32)))))
(*.f32 x (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (neg.f32 (neg.f32 (-.f32 x #s(literal -1 binary32)))))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32)))
(neg.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (-.f32 x #s(literal -1 binary32))))
(neg.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (neg.f32 (-.f32 x #s(literal -1 binary32)))))
(*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x)) (sqrt.f32 x))
(*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 x)) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))))
(*.f32 (/.f32 (*.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x))
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))))
(*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32))
(*.f32 (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))) (*.f32 (sqrt.f32 x) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 x) (/.f32 (*.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (-.f32 x #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x)
(*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 x #s(literal -1 binary32))))
(*.f32 x (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal -1/2 binary32) x) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32)))
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))))
(*.f32 (neg.f32 (sqrt.f32 x)) (/.f32 (neg.f32 (sqrt.f32 x)) (-.f32 x #s(literal -1 binary32))))
(*.f32 (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x))
(*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))))
(/.f32 (neg.f32 x) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 x (-.f32 x #s(literal -1 binary32)))
(*.f32 (pow.f32 x #s(literal 1/4 binary32)) (pow.f32 x #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (sqrt.f32 x))) (sqrt.f32 (neg.f32 (sqrt.f32 x))))
(*.f32 (sqrt.f32 (sqrt.f32 x)) (sqrt.f32 (sqrt.f32 x)))
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (sqrt.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 1/2 binary32)))
(sqrt.f32 x)
(pow.f32 (sqrt.f32 x) #s(literal 1 binary32))
(pow.f32 (*.f32 x x) #s(literal 1/4 binary32))
(pow.f32 x #s(literal 1/2 binary32))
(fabs.f32 (neg.f32 (sqrt.f32 x)))
(fabs.f32 (sqrt.f32 x))
(exp.f32 (*.f32 (log.f32 x) #s(literal 1/2 binary32)))
(*.f32 (/.f32 (sqrt.f32 x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 (sqrt.f32 x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 x))) (neg.f32 (neg.f32 (-.f32 x #s(literal -1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 x)) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))
(neg.f32 (/.f32 (neg.f32 (sqrt.f32 x)) (-.f32 x #s(literal -1 binary32))))
(neg.f32 (/.f32 (sqrt.f32 x) (neg.f32 (-.f32 x #s(literal -1 binary32)))))

eval39.0ms (1.2%)

Memory
10.6MiB live, 54.4MiB allocated; 8ms collecting garbage
Compiler

Compiled 14 075 to 1 801 computations (87.2% saved)

prune30.0ms (1%)

Memory
10.7MiB live, 65.8MiB allocated; 10ms collecting garbage
Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New32610336
Fresh167
Picked325
Done044
Total33022352
Accuracy
100.0%
Counts
352 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.4%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x)
33.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
24.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
99.5%
(copysign.f32 (asinh.f32 x) x)
17.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) #s(approx (- x -1) x)))) x)
6.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x (sqrt.f32 x)) (sqrt.f32 x))))) x)
17.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) #s(approx (- x -1) x)) (*.f32 x x)))) x)
12.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) x))) x)
13.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) x)
11.2%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) (*.f32 x x)))) x)
12.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x))) x)
6.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x)) (sqrt.f32 x)) x))) x)
6.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) (sqrt.f32 x)) (sqrt.f32 x)))) x)
6.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (sqrt.f32 x)) (sqrt.f32 (sqrt.f32 x))) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))) x)
9.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) #s(approx (- x -1) x))) #s(literal 1/2 binary32)) x))) x)
6.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (*.f32 (/.f32 (sqrt.f32 x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x))) #s(literal 1/2 binary32)) x))) x)
9.2%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (/ 1/2 (- x -1)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) (*.f32 x x)))) x)
11.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) x))) x)
20.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(literal 1/2 binary32)) x))) x)
54.6%
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) x)) x)
54.7%
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)) x)
55.4%
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) x) x)
Compiler

Compiled 1 792 to 701 computations (60.9% saved)

regimes19.0ms (0.6%)

Memory
-1.8MiB live, 42.8MiB allocated; 6ms collecting garbage
Counts
32 → 1
Calls
Call 1
Inputs
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) x) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) #s(approx (- x -1) x)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) #s(approx (- x -1) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (/ 1/2 (- x -1)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) #s(approx (- x -1) x))) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) (sqrt.f32 x)) (sqrt.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x)) (sqrt.f32 x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x (sqrt.f32 x)) (sqrt.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (*.f32 (/.f32 (sqrt.f32 x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x))) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (sqrt.f32 x)) (sqrt.f32 (sqrt.f32 x))) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 (asinh.f32 x) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (asinh.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
Outputs
(copysign.f32 (asinh.f32 x) x)
Calls

2 calls:

11.0ms
x
7.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
99.5%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
99.5%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes14.0ms (0.4%)

Memory
-16.8MiB live, 27.2MiB allocated; 7ms collecting garbage
Accuracy

Total -16.7b remaining (-116.8%)

Threshold costs -16.7b (-116.8%)

Counts
20 → 1
Calls
Call 1
Inputs
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) x) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) #s(approx (- x -1) x)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) #s(approx (- x -1) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (/ 1/2 (- x -1)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) #s(approx (- x -1) x))) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) (sqrt.f32 x)) (sqrt.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x)) (sqrt.f32 x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x (sqrt.f32 x)) (sqrt.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (*.f32 (/.f32 (sqrt.f32 x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x))) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (sqrt.f32 x)) (sqrt.f32 (sqrt.f32 x))) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))) x)
Outputs
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) x) x)
Calls

2 calls:

8.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
5.0ms
x
Results
AccuracySegmentsBranch
55.4%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
55.4%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify10.0ms (0.3%)

Memory
21.0MiB live, 21.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11310
22510
33610
Stop Event
saturated
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 x) x)
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) x) x)
Outputs
(copysign.f32 (asinh.f32 x) x)
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) x) x)

derivations55.0ms (1.8%)

Memory
-17.5MiB live, 26.1MiB allocated; 12ms collecting garbage
Stop Event
fuel
Compiler

Compiled 14 to 8 computations (42.9% saved)

preprocess16.0ms (0.5%)

Memory
30.0MiB live, 30.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 92 to 54 computations (41.3% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...