Rust f32::asinh

Time bar (total: 4.6s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample823.0ms (18%)

Memory
-12.8MiB live, 648.1MiB allocated; 200ms collecting garbage
Samples
575.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 350.0ms
ival-asinh: 340.0ms (97% of total)
ival-true: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.9% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

explain222.0ms (4.9%)

Memory
32.0MiB live, 312.7MiB allocated; 51ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1220-0-(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
720-0-(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)))))sensitivity1210
sqrt.f32(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))oflow-rescue720
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow72
(*.f32 x x)overflow72
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue10
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))overflow1
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow72
(*.f32 x x)overflow72
Confusion
Predicted +Predicted -
+1930
-063
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+19300
-0063
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
063
1192
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
50.0ms178×1valid
36.0ms334×0valid
Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 20.0ms (28.3% of total)
ival-add: 13.0ms (18.4% of total)
ival-hypot: 13.0ms (18.4% of total)
ival-log: 11.0ms (15.5% of total)
adjust: 5.0ms (7.1% of total)
ival-copysign: 5.0ms (7.1% of total)
ival-fabs: 3.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess235.0ms (5.1%)

Memory
-3.3MiB live, 224.1MiB allocated; 42ms 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
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 12 to 9 computations (25% saved)

series6.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated; 0ms collecting garbage
Counts
9 → 39
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 (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fabs x)
x
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+ 1 (pow x 2))
(pow x 2)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
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)

simplify334.0ms (7.3%)

Memory
-29.9MiB live, 285.4MiB allocated; 175ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169586
1568548
22392527
08386487
Stop Event
iter limit
node limit
Counts
39 → 38
Calls
Call 1
Inputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fabs x)
x
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+ 1 (pow x 2))
(pow x 2)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs 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)))
(+ (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)))))))
(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)))
(+ (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)))))))
(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)))
(+ 1 (fabs x))
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(-.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x)) #s(literal -1 binary32))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(-.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)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(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)))
(fabs x)
(fabs.f32 x)
x
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(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))
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(pow x 2)
(*.f32 x x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(fma.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 x)))
(* x (+ 1 (/ (fabs x) x)))
(fma.f32 (/.f32 (fabs.f32 x) x) x x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) x x)
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(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)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(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)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(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)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32) #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(*.f32 (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1 binary32)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(*.f32 (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) #s(literal 1 binary32)) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(*.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)
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(*.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)

rewrite84.0ms (1.8%)

Memory
-15.2MiB live, 128.8MiB allocated; 37ms 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)

eval22.0ms (0.5%)

Memory
-9.6MiB live, 36.8MiB allocated; 6ms collecting garbage
Compiler

Compiled 2 554 to 745 computations (70.8% saved)

prune6.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1337140
Fresh000
Picked101
Done000
Total1347141
Accuracy
100.0%
Counts
141 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.0%
(copysign.f32 (log.f32 (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))) x)
32.2%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x)
27.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) x)
99.5%
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
52.7%
(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)
54.0%
(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)
14.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Compiler

Compiled 300 to 190 computations (36.7% saved)

series281.0ms (6.1%)

Memory
1.1MiB live, 328.7MiB allocated; 92ms collecting garbage
Counts
27 → 42
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(asinh.f32 (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x)
(log.f32 #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))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))
(fma.f32 (/.f32 (fabs.f32 x) x) x x)
(/.f32 (fabs.f32 x) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)
(-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32))
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #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 (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x)
(log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2)))))
(fabs x)
x
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(log x)
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+ x (fabs x))
(/ (fabs x) x)
(+ (fabs x) (* -1 x))
(/ (+ (fabs x) (* -1 x)) x)
(* 1/2 (/ x (+ 1 (fabs x))))
(/ 1/2 (+ 1 (fabs x)))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
-1
(- (/ (fabs x) x) 1)
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
Calls

3 calls:

TimeVariablePointExpression
111.0ms
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)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) 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))) (* (- (/ (fabs x) x) 1) x) (- (/ (fabs x) x) 1) 1 (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))))
96.0ms
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)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) 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))) (* (- (/ (fabs x) x) 1) x) (- (/ (fabs x) x) 1) 1 (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))))
73.0ms
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)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) 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))) (* (- (/ (fabs x) x) 1) x) (- (/ (fabs x) x) 1) 1 (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))))

simplify243.0ms (5.3%)

Memory
26.4MiB live, 251.3MiB allocated; 77ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169559
1539527
22263500
08233466
Stop Event
iter limit
node limit
Counts
42 → 41
Calls
Call 1
Inputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x)
(log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2)))))
(fabs x)
x
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(log x)
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+ x (fabs x))
(/ (fabs x) x)
(+ (fabs x) (* -1 x))
(/ (+ (fabs x) (* -1 x)) x)
(* 1/2 (/ x (+ 1 (fabs x))))
(/ 1/2 (+ 1 (fabs x)))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
-1
(- (/ (fabs x) x) 1)
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2)))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(fabs x)
(fabs.f32 x)
x
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs 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)))
(+ (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)))))))
(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)))
(+ (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)))))))
(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)))
(log x)
(log.f32 x)
(+ 1 (fabs x))
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(-.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x)) #s(literal -1 binary32))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(-.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)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(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)))
(+ x (fabs x))
(+.f32 (fabs.f32 x) x)
(/ (fabs x) x)
(/.f32 (fabs.f32 x) x)
(+ (fabs x) (* -1 x))
(-.f32 (fabs.f32 x) x)
(/ (+ (fabs x) (* -1 x)) x)
(/.f32 (-.f32 (fabs.f32 x) x) x)
(* 1/2 (/ x (+ 1 (fabs x))))
(*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(fma.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 x)))
(* x (+ 1 (/ (fabs x) x)))
(fma.f32 (/.f32 (fabs.f32 x) x) x x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) x x)
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(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)
(* -1 x)
(neg.f32 x)
(* x (- (/ (fabs x) x) 1))
(*.f32 (/.f32 (-.f32 (fabs.f32 x) x) x) x)
-1
#s(literal -1 binary32)
(- (/ (fabs x) x) 1)
(/.f32 (-.f32 (fabs.f32 x) x) x)
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x)
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(*.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))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32) #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(*.f32 (/.f32 (-.f32 (fabs.f32 x) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(*.f32 (+.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(*.f32 (+.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) #s(literal -1 binary32)) x)
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(fma.f32 (/.f32 (fabs.f32 x) x) x x)

rewrite68.0ms (1.5%)

Memory
-1.3MiB live, 92.7MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033266
055220
1169220
01148220
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
27 → 138
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(asinh.f32 (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x)
(log.f32 #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))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))
(fma.f32 (/.f32 (fabs.f32 x) x) x x)
(/.f32 (fabs.f32 x) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)
(-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32))
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x)
(log.f32 #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))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)) x)
(*.f32 x (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)))
(/.f32 (-.f32 (*.f32 x x) (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x))) (-.f32 x (*.f32 (/.f32 (fabs.f32 x) x) x)))
(/.f32 (neg.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)) (*.f32 x x))) (neg.f32 (-.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 x (-.f32 x (*.f32 (/.f32 (fabs.f32 x) x) x)) (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)))))
(/.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)) (*.f32 x x)) (-.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)) (*.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) #s(literal 3 binary32))) (fma.f32 x (-.f32 x (*.f32 (/.f32 (fabs.f32 x) x) x)) (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x))))
(-.f32 (/.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)) (-.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x)) (/.f32 (*.f32 x x) (-.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x)))
(-.f32 x (*.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) x))
(-.f32 x (*.f32 (neg.f32 x) (/.f32 (fabs.f32 x) x)))
(fma.f32 (/.f32 (fabs.f32 x) x) x x)
(fma.f32 (fabs.f32 x) (/.f32 x x) x)
(fma.f32 x (/.f32 (fabs.f32 x) x) x)
(+.f32 (/.f32 (pow.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) #s(literal 3 binary32)) (fma.f32 x (-.f32 x (*.f32 (/.f32 (fabs.f32 x) x) x)) (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (-.f32 x (*.f32 (/.f32 (fabs.f32 x) x) x)) (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)))))
(+.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x)
(+.f32 x (*.f32 (/.f32 (fabs.f32 x) x) x))
(*.f32 (*.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)) #s(literal -1 binary32))
(*.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))
(/.f32 (*.f32 (neg.f32 (fabs.f32 x)) #s(literal 1 binary32)) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (fabs.f32 x))) (neg.f32 (neg.f32 x)))
(/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 x))
(/.f32 (fabs.f32 x) x)
(neg.f32 (/.f32 (neg.f32 (fabs.f32 x)) x))
(neg.f32 (/.f32 (fabs.f32 x) (neg.f32 x)))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)
(*.f32 x (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) x) (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 3 binary32)) #s(literal 1 binary32)) x) (+.f32 (+.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) x)))
(/.f32 (*.f32 x (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)))
(/.f32 (*.f32 x (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (+.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) x))))
(/.f32 (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) x)))
(-.f32 (/.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32))))
(-.f32 (/.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 3 binary32)) (+.f32 (+.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) x))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) x))))
(-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32))
(fma.f32 (*.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)) #s(literal -1 binary32) #s(literal -1 binary32))
(fma.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x) #s(literal -1 binary32))
(+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32))
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 #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 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x) (log1p.f32 (fabs.f32 x))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 2 binary32))) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) (log1p.f32 (fabs.f32 x)))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x))) (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32))) (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) (log1p.f32 (fabs.f32 x))))
(/.f32 (fma.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) (log1p.f32 (fabs.f32 x))))))
(/.f32 (fma.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x))) (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) (log1p.f32 (fabs.f32 x)))) (/.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) (log1p.f32 (fabs.f32 x)))))
(-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) x))
(-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x)))
(-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (neg.f32 x) (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x) (log1p.f32 (fabs.f32 x)))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (fabs.f32 x)) (fabs.f32 x) (log1p.f32 (fabs.f32 x)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) x (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.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 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (log1p.f32 (fabs.f32 x)))
(fma.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (log1p.f32 (fabs.f32 x)))
(+.f32 (/.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x))) (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x))) (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 2 binary32)))))
(+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) (log1p.f32 (fabs.f32 x)))
(+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)))
(*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (fabs.f32 x)))
(*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x)
(*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(*.f32 x (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal -1/2 binary32) x) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (fabs.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) (fabs.f32 x)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32))))
(/.f32 #s(literal -1/2 binary32) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))
#s(literal 1/2 binary32)
(/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (+.f32 #s(literal -1 binary32) (fabs.f32 x))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (neg.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))))
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (fabs.f32 x)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 (-.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/.f32 (+.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))
(-.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal -1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (fabs.f32 x))))
(-.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (fabs.f32 x)) #s(literal 1 binary32))
(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))

eval41.0ms (0.9%)

Memory
-5.9MiB live, 94.5MiB allocated; 22ms collecting garbage
Compiler

Compiled 6 907 to 1 188 computations (82.8% saved)

prune10.0ms (0.2%)

Memory
1.1MiB live, 47.6MiB allocated; 2ms collecting garbage
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2554259
Fresh022
Picked235
Done000
Total2579266
Accuracy
100.0%
Counts
266 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.0%
(copysign.f32 (log.f32 (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))) x)
32.2%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x)
27.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x)
49.5%
(copysign.f32 (asinh.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 x))) x)
99.5%
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
52.7%
(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)
54.0%
(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)
14.8%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 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 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x))) x)
Compiler

Compiled 372 to 229 computations (38.4% saved)

series122.0ms (2.7%)

Memory
3.9MiB live, 188.6MiB allocated; 22ms collecting garbage
Counts
37 → 62
Calls
Call 1
Inputs
(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)
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 (fabs.f32 x) #s(literal -1 binary32))
(fabs.f32 x)
#s(literal -1 binary32)
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(literal 1/2 binary32)
(log1p.f32 (fabs.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 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) 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 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x)))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x)
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))
#s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x))
(-.f32 (fabs.f32 x) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))
#s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))
(+.f32 (fabs.f32 x) 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)
Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (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)))))))
(/ 1/2 (+ 1 (fabs x)))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(* -1/24 (pow x 2))
(pow x 2)
x
(/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))
(+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))
(/ 3 (+ 1 (fabs x)))
(+ 1 (fabs x))
(fabs x)
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+ (fabs x) (* -1 x))
(+ x (fabs x))
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(sqrt x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (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)))))
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x)
(+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))
(+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))
(- (+ (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))))
(- (+ (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)))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
93.0ms
x
@-inf
((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) x (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1)) (+ (/ 3 (- (fabs x) -1)) 3) (/ 3 (- (fabs x) -1)) 3 (- (fabs x) -1) (fabs x) -1 (/ 1/2 (- (fabs x) -1)) 1/2 (log (+ 1 (fabs 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) x) (* (/ 1/2 (- (fabs x) -1)) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (- (/ (fabs x) x) 1) 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))) (+ (* (/ (fabs x) x) x) x) (+ (fabs x) x) (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt x))
15.0ms
x
@inf
((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) x (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1)) (+ (/ 3 (- (fabs x) -1)) 3) (/ 3 (- (fabs x) -1)) 3 (- (fabs x) -1) (fabs x) -1 (/ 1/2 (- (fabs x) -1)) 1/2 (log (+ 1 (fabs 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) x) (* (/ 1/2 (- (fabs x) -1)) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (- (/ (fabs x) x) 1) 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))) (+ (* (/ (fabs x) x) x) x) (+ (fabs x) x) (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt x))
13.0ms
x
@0
((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) x (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1)) (+ (/ 3 (- (fabs x) -1)) 3) (/ 3 (- (fabs x) -1)) 3 (- (fabs x) -1) (fabs x) -1 (/ 1/2 (- (fabs x) -1)) 1/2 (log (+ 1 (fabs 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) x) (* (/ 1/2 (- (fabs x) -1)) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (- (/ (fabs x) x) 1) 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))) (+ (* (/ (fabs x) x) x) x) (+ (fabs x) x) (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt x))

simplify227.0ms (5%)

Memory
15.7MiB live, 212.9MiB allocated; 73ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02631004
1832883
23333856
08913806
Stop Event
iter limit
node limit
Counts
62 → 61
Calls
Call 1
Inputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (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)))))))
(/ 1/2 (+ 1 (fabs x)))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(* -1/24 (pow x 2))
(pow x 2)
x
(/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))
(+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))
(/ 3 (+ 1 (fabs x)))
(+ 1 (fabs x))
(fabs x)
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+ (fabs x) (* -1 x))
(+ x (fabs x))
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(sqrt x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (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)))))
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x)
(+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))
(+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))
(- (+ (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))))
(- (+ (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)))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (/.f32 (fma.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 1/720 binary32) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 45 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))))
(+ (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)))))))
(fma.f32 (/.f32 (fma.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(/.f32 (fma.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(* -1/24 (pow x 2))
(*.f32 #s(literal -1/24 binary32) (*.f32 x x))
(pow x 2)
(*.f32 x x)
x
(/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))
(/.f32 (-.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -3 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))
(-.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -3 binary32))
(/ 3 (+ 1 (fabs x)))
(/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(fabs x)
(fabs.f32 x)
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x)
(* 1/2 (/ x (+ 1 (fabs x))))
(*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(-.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)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(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 #s(literal 1 binary32) (fabs.f32 x)))
(+ (fabs x) (* -1 x))
(-.f32 (fabs.f32 x) x)
(+ x (fabs x))
(+.f32 (fabs.f32 x) x)
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(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 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) x (-.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -5/112 binary32)) #s(literal 1/6 binary32))) x)
(sqrt x)
(sqrt.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.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))
(+ (* -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))))
(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)))
(* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(*.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (pow.f32 x #s(literal 4 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)))))
(*.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (pow.f32 x #s(literal 4 binary32)))
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(*.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x)
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(*.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x)
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(*.f32 (-.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (*.f32 x x)) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x))
(* x (+ 1 (/ (fabs x) x)))
(fma.f32 (/.f32 (fabs.f32 x) x) x x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) x x)
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(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)
(* -1 x)
(neg.f32 x)
(* x (- (/ (fabs x) x) 1))
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f32 (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f32 (-.f32 (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.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))))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (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) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(*.f32 (+.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(*.f32 (+.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) #s(literal -1 binary32)) x)
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(fma.f32 (/.f32 (fabs.f32 x) x) x x)
(copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x)
(+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))
(-.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)))
(- (+ (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))))
(-.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))))
(- (+ (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)))))
(-.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))))
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 x) #s(literal 1 binary32))

rewrite55.0ms (1.2%)

Memory
-37.2MiB live, 59.5MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056518
087398
0287391
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
37 → 73
Calls
Call 1
Inputs
(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)
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 (fabs.f32 x) #s(literal -1 binary32))
(fabs.f32 x)
#s(literal -1 binary32)
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(literal 1/2 binary32)
(log1p.f32 (fabs.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 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) 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 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x)))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x)
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))
#s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x))
(-.f32 (fabs.f32 x) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))
#s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))
(+.f32 (fabs.f32 x) 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)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 x)))
(/.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x)) (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x))) (*.f32 (log1p.f32 x) (log1p.f32 x))) (-.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x)) (log1p.f32 x)))
(/.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 x) #s(literal 3 binary32))) (fma.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x)) (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x)) (-.f32 (*.f32 (log1p.f32 x) (log1p.f32 x)) (*.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x)) (log1p.f32 x)))))
(fma.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) x) x (log1p.f32 x))
(fma.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 x))
(fma.f32 (*.f32 x x) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (log1p.f32 x))
(+.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x)) (log1p.f32 x))
(+.f32 (log1p.f32 x) (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x)))
(/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))) (-.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))))
(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32))) (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))
(fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 x x) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))
(+.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32))) (/.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 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32))))
(*.f32 (*.f32 #s(literal -1/24 binary32) x) x)
(*.f32 (*.f32 x x) #s(literal -1/24 binary32))
(*.f32 #s(literal -1/24 binary32) (*.f32 x x))
#s(literal -1/24 binary32)
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 x x)
(pow.f32 x #s(literal 2 binary32))
x
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32))) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32)))
(+.f32 (/.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) (-.f32 x #s(literal -1 binary32))) (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32)))) #s(literal 9 binary32)) (-.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 3 binary32)) #s(literal 27 binary32)) (fma.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) (-.f32 #s(literal 9 binary32) (*.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 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 #s(literal -3 binary32) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32)))
#s(literal 3 binary32)
(/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 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) (*.f32 x #s(literal -1 binary32)))))
(-.f32 x #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) (-.f32 x #s(literal -1 binary32)))
#s(literal 1/2 binary32)
(log.f32 (+.f32 #s(literal 1 binary32) x))
(log1p.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 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) 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 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x)))
#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))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x)
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x))
(*.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))) x)
(*.f32 x (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32)))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 x x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 x x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 x x)))
#s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 x x))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (fma.f32 x x (*.f32 x x))))
(/.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (+.f32 x x))
(-.f32 x x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 x x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 x x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 x x)))
#s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 x x))
(/.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (-.f32 x x))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 x x) (*.f32 x x))))
(+.f32 x x)
(copysign.f32 (asinh.f32 x) x)
(log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) x))
(asinh.f32 x)
x
(sqrt.f32 x)
(pow.f32 x #s(literal 1/2 binary32))

eval20.0ms (0.4%)

Memory
0.3MiB live, 45.1MiB allocated; 6ms collecting garbage
Compiler

Compiled 7 179 to 790 computations (89% saved)

prune12.0ms (0.3%)

Memory
33.8MiB live, 33.8MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1769185
Fresh011
Picked415
Done303
Total18311194
Accuracy
100.0%
Counts
194 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.0%
(copysign.f32 (log.f32 (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))) x)
29.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 x x)))) x)
27.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x)
99.5%
(copysign.f32 (asinh.f32 #s(approx (* (sqrt x) (sqrt x)) 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) (-.f32 x #s(literal -1 binary32))) x))) x)
12.1%
(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 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))) x)
12.0%
(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) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) 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) (-.f32 x #s(literal -1 binary32))) 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 #s(approx (* (/ 1/2 (- (fabs x) -1)) x) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32))) x))) x)
52.5%
(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)
52.6%
(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)
Compiler

Compiled 626 to 396 computations (36.7% saved)

series18.0ms (0.4%)

Memory
-8.5MiB live, 36.3MiB allocated; 4ms collecting garbage
Counts
36 → 74
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x)) x)
(asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x))
#s(approx (* (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 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) 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 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x)))
#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))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x)
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) 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)
(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)
#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)))
#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))
(*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) x)
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32)))
(*.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 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) 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 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x)))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x)
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x)
(/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))
(/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
(+.f32 x #s(literal -1 binary32))
(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)
#s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
#s(literal -1/6 binary32)
Outputs
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2))))
(* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 x)))
(* x (+ 1/2 (* x (- (* 1/2 x) 1/2))))
(* x (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))
1/2
(+ 1/2 (* -1/2 x))
(+ 1/2 (* x (- (* 1/2 x) 1/2)))
(+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))
1
(+ 1 x)
-1
(- (pow x 2) 1)
(pow x 2)
(- x 1)
(pow x 3)
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* x (- 1/2 (* 1/2 (/ 1 x))))
(* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))
(* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))
(- 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))
(/ 1/2 x)
(/ (- 1/2 (* 1/2 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) x)
(* x (+ 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* x (- 1 (/ 1 x)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x)
(+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))
(+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))
(- (+ (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))))
(- (+ (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)))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)))
(+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) x)))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2) x))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@0
((copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt 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 -1)) x) x) (* (/ 1/2 (- x -1)) x) (/ 1/2 (- x -1)) 1/2 (- x -1) -1 (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 -1)) x) (/ (* 1/2 x) (- x -1)) (* 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)))) (* (* (/ 1/2 (/ (- (* x x) 1) (+ x -1))) x) x) (* (/ 1/2 (/ (- (* x x) 1) (+ x -1))) x) (/ 1/2 (/ (- (* x x) 1) (+ x -1))) (/ (- (* x x) 1) (+ x -1)) (- (* x x) 1) (* x x) 1 (+ x -1) (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (+ (* (pow x 3) -1/6) x) (pow x 3) 3 -1/6)
5.0ms
x
@-inf
((copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt 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 -1)) x) x) (* (/ 1/2 (- x -1)) x) (/ 1/2 (- x -1)) 1/2 (- x -1) -1 (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 -1)) x) (/ (* 1/2 x) (- x -1)) (* 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)))) (* (* (/ 1/2 (/ (- (* x x) 1) (+ x -1))) x) x) (* (/ 1/2 (/ (- (* x x) 1) (+ x -1))) x) (/ 1/2 (/ (- (* x x) 1) (+ x -1))) (/ (- (* x x) 1) (+ x -1)) (- (* x x) 1) (* x x) 1 (+ x -1) (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (+ (* (pow x 3) -1/6) x) (pow x 3) 3 -1/6)
4.0ms
x
@inf
((copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt 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 -1)) x) x) (* (/ 1/2 (- x -1)) x) (/ 1/2 (- x -1)) 1/2 (- x -1) -1 (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 -1)) x) (/ (* 1/2 x) (- x -1)) (* 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)))) (* (* (/ 1/2 (/ (- (* x x) 1) (+ x -1))) x) x) (* (/ 1/2 (/ (- (* x x) 1) (+ x -1))) x) (/ 1/2 (/ (- (* x x) 1) (+ x -1))) (/ (- (* x x) 1) (+ x -1)) (- (* x x) 1) (* x x) 1 (+ x -1) (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (+ (* (pow x 3) -1/6) x) (pow x 3) 3 -1/6)

simplify169.0ms (3.7%)

Memory
19.1MiB live, 156.3MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0246981
1746895
22726860
08418808
Stop Event
iter limit
node limit
Counts
74 → 73
Calls
Call 1
Inputs
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2))))
(* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 x)))
(* x (+ 1/2 (* x (- (* 1/2 x) 1/2))))
(* x (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))
1/2
(+ 1/2 (* -1/2 x))
(+ 1/2 (* x (- (* 1/2 x) 1/2)))
(+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))
1
(+ 1 x)
-1
(- (pow x 2) 1)
(pow x 2)
(- x 1)
(pow x 3)
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* x (- 1/2 (* 1/2 (/ 1 x))))
(* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))
(* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))
(- 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))
(/ 1/2 x)
(/ (- 1/2 (* 1/2 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) x)
(* x (+ 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* x (- 1 (/ 1 x)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x)
(+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))
(+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))
(- (+ (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))))
(- (+ (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)))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)))
(+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) x)))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2) x))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
Outputs
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(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 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) x (-.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -5/112 binary32)) #s(literal 1/6 binary32))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs 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)))
(+ (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)))))))
(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)))
(+ (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)))))))
(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)))
(* 1/2 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/2 binary32))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(*.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x) x)
(* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2))))
(*.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)
(* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))
(*.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)
(* 1/2 x)
(*.f32 #s(literal 1/2 binary32) x)
(* x (+ 1/2 (* -1/2 x)))
(*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x)
(* x (+ 1/2 (* x (- (* 1/2 x) 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)
(* x (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 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)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/2 x))
(fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32))
(+ 1/2 (* x (- (* 1/2 x) 1/2)))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32))
(+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))
(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))
1
#s(literal 1 binary32)
(+ 1 x)
(-.f32 x #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(pow x 2)
(*.f32 x x)
(- x 1)
(-.f32 x #s(literal 1 binary32))
(pow x 3)
(pow.f32 x #s(literal 3 binary32))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.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))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.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))))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.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))
(+ (* -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))))
(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)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x)
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(*.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))
(* x (- 1/2 (* 1/2 (/ 1 x))))
(*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)
(* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) x)
(* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))
(*.f32 (-.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)) x)
(- 1/2 (* 1/2 (/ 1 x)))
(-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))
(- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x)))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32))
(- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))
(-.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))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (- 1/2 (* 1/2 (/ 1 x))) x)
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) x)
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) x)
(/.f32 (-.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)) x)
(* x (+ 1 (/ 1 x)))
(-.f32 x #s(literal -1 binary32))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) x) x)
(* x (- 1 (/ 1 x)))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x)
(* -1/6 (pow x 3))
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1/6 binary32)) (pow.f32 x #s(literal 3 binary32)))
(copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x)
(+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))
(-.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)))
(- (+ (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))))
(-.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))))
(- (+ (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)))))
(-.f32 (-.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (/.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 12 binary32))) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) (log.f32 (/.f32 #s(literal -1 binary32) 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))))
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (/.f32 (-.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))) x) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) x)
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2)))
(*.f32 (-.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)) x)
(+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32))
(+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) x)))
(-.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))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x))
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 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)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2) x))
(/.f32 (-.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)) x)
(* -1 (* x (- (/ 1 x) 1)))
(*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)))

rewrite1.1s (23.9%)

Memory
-94.5MiB live, 331.3MiB allocated; 1.1s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052494
075366
1231366
01520338
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
36 → 360
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x)) x)
(asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x))
#s(approx (* (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 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) 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 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x)))
#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))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x)
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) 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)
(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)
#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)))
#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))
(*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) x)
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32)))
(*.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 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) 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 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x)))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x)
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x)
(/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))
(/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
(+.f32 x #s(literal -1 binary32))
(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)
#s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
#s(literal -1/6 binary32)
Outputs
(copysign.f32 (asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x)) x)
(log.f32 (+.f32 (cosh.f32 (asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x))) #s(approx (* (sqrt x) (sqrt x)) x)))
(asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x))
#s(approx (* (sqrt x) (sqrt x)) x)
x
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))))) x)
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))))
(*.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 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x #s(literal 1 binary32)))
(*.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 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x))
(*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x x)))
(*.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 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))
(*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (-.f32 x #s(literal -1 binary32))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) 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 (/.f32 x (-.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 x (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x))
(/.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) (*.f32 x x)) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (*.f32 x (*.f32 #s(literal -1/2 binary32) x)) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (neg.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) x) (-.f32 x #s(literal -1 binary32)))
(*.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) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 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 x (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32)))) (-.f32 x #s(literal 1 binary32)))
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(fma.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32)) x)
(fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x)
(+.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 4 binary32))))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 4 binary32))))))
(+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x)
(+.f32 x (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))))
(*.f32 (*.f32 (*.f32 x x) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x)))
(*.f32 (*.f32 (*.f32 x x) (sqrt.f32 x)) (sqrt.f32 x))
(*.f32 (*.f32 (neg.f32 x) (neg.f32 (sqrt.f32 x))) (*.f32 (neg.f32 x) (neg.f32 (sqrt.f32 x))))
(*.f32 (*.f32 (neg.f32 x) (sqrt.f32 x)) (*.f32 (neg.f32 x) (sqrt.f32 x)))
(*.f32 (*.f32 x (neg.f32 (sqrt.f32 x))) (*.f32 x (neg.f32 (sqrt.f32 x))))
(*.f32 (*.f32 (neg.f32 (sqrt.f32 x)) (neg.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) (neg.f32 x)))
(*.f32 (*.f32 (neg.f32 (sqrt.f32 x)) x) (*.f32 (neg.f32 (sqrt.f32 x)) x))
(*.f32 (*.f32 (sqrt.f32 x) (neg.f32 x)) (*.f32 (sqrt.f32 x) (neg.f32 x)))
(*.f32 (neg.f32 (pow.f32 x #s(literal 3/2 binary32))) (neg.f32 (pow.f32 x #s(literal 3/2 binary32))))
(*.f32 (fabs.f32 (pow.f32 x #s(literal 3/2 binary32))) (fabs.f32 (pow.f32 x #s(literal 3/2 binary32))))
(*.f32 (*.f32 x (neg.f32 x)) (neg.f32 x))
(*.f32 (*.f32 x (sqrt.f32 x)) (*.f32 x (sqrt.f32 x)))
(*.f32 (*.f32 (sqrt.f32 x) x) (*.f32 (sqrt.f32 x) x))
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 x)) #s(literal 3 binary32)) (pow.f32 (neg.f32 (sqrt.f32 x)) #s(literal 3 binary32)))
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 x x)))
(*.f32 (neg.f32 x) (*.f32 (neg.f32 x) x))
(*.f32 (*.f32 x x) x)
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (*.f32 x x)))
(*.f32 x (*.f32 x x))
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 3 binary32))
(pow.f32 (*.f32 x (sqrt.f32 x)) #s(literal 2 binary32))
(pow.f32 (*.f32 (sqrt.f32 x) x) #s(literal 2 binary32))
(pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32))
(pow.f32 (sqrt.f32 x) #s(literal 6 binary32))
(pow.f32 x #s(literal 3 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 3 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 3 binary32))))
(exp.f32 (*.f32 (log.f32 x) #s(literal 3 binary32)))
#s(literal 3 binary32)
#s(literal -1/6 binary32)

eval37.0ms (0.8%)

Memory
7.0MiB live, 97.8MiB allocated; 7ms collecting garbage
Compiler

Compiled 13 966 to 2 072 computations (85.2% saved)

prune25.0ms (0.5%)

Memory
8.1MiB live, 54.6MiB allocated; 3ms collecting garbage
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New33013343
Fresh055
Picked415
Done011
Total33420354
Accuracy
100.0%
Counts
354 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.0%
(copysign.f32 (log.f32 (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))) x)
29.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 x x)))) x)
27.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x)
99.5%
(copysign.f32 (asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x)) x)
12.1%
(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 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))))) x)
12.1%
(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 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))) x)
12.0%
(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 (*.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32))) x) x))) x)
10.3%
(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 (-.f32 x #s(literal 1 binary32)) x)) 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 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (sqrt.f32 x)) (sqrt.f32 x) #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) 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 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (*.f32 (+.f32 (sqrt.f32 x) #s(literal 1 binary32)) (-.f32 (sqrt.f32 x) #s(literal 1 binary32))))) x) x))) x)
12.0%
(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 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x #s(literal 1 binary32))) x) x))) x)
6.2%
(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 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x)) (sqrt.f32 x)) x))) x)
6.2%
(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 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) (sqrt.f32 x)) (sqrt.f32 x)))) x)
10.0%
(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(approx (/ 1/2 (- x -1)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) x) x))) x)
19.5%
(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 #s(approx (/ 1/2 (- x -1)) (/.f32 #s(literal 1/2 binary32) x)) 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 #s(approx (* (/ 1/2 (- (fabs x) -1)) x) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32))) x))) x)
11.0%
(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 #s(approx (* (/ 1/2 (- x -1)) x) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) 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)))) #s(approx (* (* (/ 1/2 (- x -1)) x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) x)
52.5%
(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)
52.6%
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) x)) x)
Compiler

Compiled 1 838 to 702 computations (61.8% saved)

regimes19.0ms (0.4%)

Memory
-8.2MiB live, 45.4MiB allocated; 5ms collecting garbage
Counts
34 → 1
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)))) #s(approx (* (* (/ 1/2 (- x -1)) x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) x)
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 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)) x) (-.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(approx (/ 1/2 (- x -1)) (/.f32 #s(literal 1/2 binary32) x)) 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) (-.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 #s(approx (* (/ 1/2 (- (fabs x) -1)) x) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 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 #s(literal 1/2 binary32) (-.f32 (fabs.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(approx (/ 1/2 (- x -1)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) 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) (fma.f32 x x #s(literal -1 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 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (-.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 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal 1 binary32))) (fma.f32 x 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 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 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 (*.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 (/.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (sqrt.f32 x)) (sqrt.f32 x) #s(literal -1 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 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (*.f32 (+.f32 (sqrt.f32 x) #s(literal 1 binary32)) (-.f32 (sqrt.f32 x) #s(literal 1 binary32))))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 (asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x)) x)
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 x x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) 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 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x 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 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (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 #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)
(copysign.f32 (log.f32 (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))) x)
Outputs
(copysign.f32 (asinh.f32 #s(approx (* (sqrt x) (sqrt x)) 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)

regimes12.0ms (0.3%)

Memory
-15.2MiB live, 30.8MiB allocated; 3ms collecting garbage
Counts
20 → 2
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)))) #s(approx (* (* (/ 1/2 (- x -1)) x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) x)
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 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)) x) (-.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(approx (/ 1/2 (- x -1)) (/.f32 #s(literal 1/2 binary32) x)) 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) (-.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 #s(approx (* (/ 1/2 (- (fabs x) -1)) x) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 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 #s(literal 1/2 binary32) (-.f32 (fabs.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(approx (/ 1/2 (- x -1)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) 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) (fma.f32 x x #s(literal -1 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 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (-.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 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal 1 binary32))) (fma.f32 x 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 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 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 (*.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 (/.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (sqrt.f32 x)) (sqrt.f32 x) #s(literal -1 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 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (*.f32 (+.f32 (sqrt.f32 x) #s(literal 1 binary32)) (-.f32 (sqrt.f32 x) #s(literal 1 binary32))))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Outputs
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Calls

2 calls:

7.0ms
x
4.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
63.0%2(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
63.0%2x
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes11.0ms (0.2%)

Memory
-13.4MiB live, 33.3MiB allocated; 2ms collecting garbage
Counts
19 → 1
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)))) #s(approx (* (* (/ 1/2 (- x -1)) x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) x)
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 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)) x) (-.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(approx (/ 1/2 (- x -1)) (/.f32 #s(literal 1/2 binary32) x)) 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) (-.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 #s(approx (* (/ 1/2 (- (fabs x) -1)) x) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 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 #s(literal 1/2 binary32) (-.f32 (fabs.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(approx (/ 1/2 (- x -1)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) 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) (fma.f32 x x #s(literal -1 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 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (-.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 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal 1 binary32))) (fma.f32 x 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 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 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 (*.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 (/.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (sqrt.f32 x)) (sqrt.f32 x) #s(literal -1 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 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (*.f32 (+.f32 (sqrt.f32 x) #s(literal 1 binary32)) (-.f32 (sqrt.f32 x) #s(literal 1 binary32))))) x) x))) x)
Outputs
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) x)) x)
Calls

2 calls:

5.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
5.0ms
x
Results
AccuracySegmentsBranch
52.6%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
52.6%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes2.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
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)))) #s(approx (* (* (/ 1/2 (- x -1)) x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) x)
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)))) #s(approx (* (* (/ 1/2 (- x -1)) x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) x)
Calls

2 calls:

1.0ms
x
1.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
11.2%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
11.2%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
3.235762357711792
7.496106147766113
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify55.0ms (1.2%)

Memory
-1.4MiB live, 44.4MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04496
16992
217792
347292
484492
5126892
6398692
7727492
Stop Event
node limit
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x)) x)
(if (<=.f32 x #s(literal 5 binary32)) (copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) x)) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x))
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 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)))) #s(approx (* (* (/ 1/2 (- x -1)) x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) x)
Outputs
(copysign.f32 (asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x)) x)
(if (<=.f32 x #s(literal 5 binary32)) (copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) x)) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x))
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 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)))) #s(approx (* (* (/ 1/2 (- x -1)) x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) x)

derivations297.0ms (6.5%)

Memory
7.6MiB live, 281.8MiB allocated; 55ms collecting garbage
Stop Event
fuel
Compiler

Compiled 108 to 45 computations (58.3% saved)

preprocess28.0ms (0.6%)

Memory
18.6MiB live, 63.1MiB allocated; 12ms collecting garbage
Compiler

Compiled 280 to 128 computations (54.3% saved)

end0.0ms (0%)

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

Profiling

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