Rust f64::asinh

Time bar (total: 7.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 4 to 4 computations (0% saved)

sample575.0ms (8%)

Memory
-23.0MiB live, 699.7MiB allocated
Samples
362.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-asinh: 103.0ms (92% of total)
ival-true: 6.0ms (5.4% of total)
ival-assert: 3.0ms (2.7% of total)
Bogosity

explain734.0ms (10.2%)

Memory
19.6MiB live, 339.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1240-0-(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
790-0-(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(fabs.f64 x)
00-0-(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
00-0-(*.f64 x x)
00-0-(+.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))sensitivity1240
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))oflow-rescue790
(*.f64 x x)overflow79
(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow79
Confusion
Predicted +Predicted -
+2030
-053
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+20300
-0053
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
053
1203
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
577.0ms136×1valid
50.0ms104×2valid
25.0ms272×0valid
Compiler

Compiled 163 to 40 computations (75.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 631.0ms
ival-log: 574.0ms (91% of total)
ival-hypot: 21.0ms (3.3% of total)
ival-mult: 13.0ms (2.1% of total)
adjust: 7.0ms (1.1% of total)
ival-copysign: 7.0ms (1.1% of total)
ival-add: 6.0ms (1% of total)
ival-fabs: 3.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess24.0ms (0.3%)

Memory
-21.4MiB live, 16.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1107
2147
3177
4217
5287
6357
0912
01612
12012
02011
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.4%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 12 to 9 computations (25% saved)

simplify3.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
cost-diff0
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
cost-diff128
(+.f64 (*.f64 x x) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0949
01649
12049
02044
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(fabs.f64 x)
x
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(fabs.f64 x)
x
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)

localize68.0ms (0.9%)

Memory
-18.6MiB live, 77.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fabs.f64 x)
accuracy0.0078125
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy18.469378235637596
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy28.631775133102863
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Samples
30.0ms52×2valid
15.0ms68×1valid
15.0ms136×0valid
Compiler

Compiled 100 to 20 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-log: 19.0ms (44.7% of total)
ival-hypot: 9.0ms (21.2% of total)
ival-add: 4.0ms (9.4% of total)
adjust: 3.0ms (7.1% of total)
ival-copysign: 3.0ms (7.1% of total)
ival-fabs: 2.0ms (4.7% of total)
ival-mult: 2.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
3.3MiB live, 3.3MiB allocated
Counts
6 → 39
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(fabs.f64 x)
Outputs
1
(+ 1 (pow x 2))
(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))))))
(+ 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)))))
(fabs x)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (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
(* 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))))
(* -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
((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))
1.0ms
x
@-inf
((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))
1.0ms
x
@inf
((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))

simplify220.0ms (3.1%)

Memory
10.7MiB live, 168.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169586
1490558
21525545
35471495
08548457
Stop Event
iter limit
node limit
Counts
39 → 38
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
(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))))))
(+ 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)))))
(fabs x)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (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
(* 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))))
(* -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
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 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.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 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.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 45 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/720 binary64)) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fabs x)
(fabs.f64 x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 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.f64 (/.f64 (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f64 (fabs.f64 x) x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (fabs.f64 x) x))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (fabs.f64 x) x)))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/2 binary64) x)))
(* -1 (log (/ -1 x)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) 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)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/2 binary64) x))))

rewrite221.0ms (3.1%)

Memory
-16.9MiB live, 144.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0944
01644
15144
232444
3342744
0836339
Stop Event
iter limit
node limit
iter limit
Counts
6 → 279
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(fabs.f64 x)
Outputs
(*.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))))))
(*.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (*.f64 x x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x))))
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 4 binary64)))) (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) (exp.f64 (log1p.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -3 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x #s(literal 1 binary64))
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(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (fma.f64 x x (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (fabs.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (fabs.f64 x))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fabs.f64 x))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 x (/.f64 x (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (/.f64 (*.f64 x x) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 x x)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (-.f64 (log1p.f64 (*.f64 x x)) (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log1p.f64 (*.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))
(pow.f64 (fabs.f64 x) #s(literal 1 binary64))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fabs.f64 x)))

eval83.0ms (1.2%)

Memory
25.4MiB live, 62.3MiB allocated
Compiler

Compiled 8 175 to 1 649 computations (79.8% saved)

prune19.0ms (0.3%)

Memory
-13.4MiB live, 24.9MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3088316
Fresh000
Picked101
Done000
Total3098317
Accuracy
100.0%
Counts
317 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.4%
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
28.5%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
26.8%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
28.7%
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
27.3%
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
51.2%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
64.2%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
9.3%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
Compiler

Compiled 276 to 198 computations (28.3% saved)

simplify61.0ms (0.8%)

Memory
27.0MiB live, 61.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))))
cost-diff0
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
cost-diff0
(fabs.f64 x)
cost-diff0
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
cost-diff0
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
cost-diff0
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
cost-diff0
(-.f64 (fabs.f64 x) x)
cost-diff0
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))
cost-diff0
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)))
cost-diff0
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
cost-diff0
(log.f64 x)
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
cost-diff0
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
cost-diff0
(fabs.f64 x)
cost-diff0
(log1p.f64 (fabs.f64 x))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))
cost-diff0
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033277
053277
169277
284277
398277
4117277
5166277
6228277
7322277
8526277
91013277
101583277
111989277
122068277
132129277
142156277
152160277
02160264
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
x
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
(log.f64 x)
x
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) x)
(fabs.f64 x)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(fabs.f64 x)
#s(literal 1 binary64)
(log1p.f64 (fabs.f64 x))
Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
x
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
(log.f64 x)
x
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) x)
(fabs.f64 x)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x)))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (fabs.f64 x))) x) #s(literal -1/2 binary64) (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (fabs.f64 x))) x) #s(literal -1/2 binary64) (log1p.f64 (fabs.f64 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (fabs.f64 x))) x) #s(literal -1/2 binary64) (log1p.f64 (fabs.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 x (-.f64 (fabs.f64 x) #s(literal -1 binary64)))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(-.f64 (fabs.f64 x) #s(literal -1 binary64))
(fabs.f64 x)
#s(literal 1 binary64)
(log1p.f64 (fabs.f64 x))

localize236.0ms (3.3%)

Memory
-8.0MiB live, 110.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0.0
(log1p.f64 (fabs.f64 x))
accuracy0.0
(fabs.f64 x)
accuracy14.971672617516974
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))))
accuracy0.0
(fabs.f64 x)
accuracy0.00390625
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
accuracy0.15219994164397882
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
accuracy15.904081694782331
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
accuracy0.0
(-.f64 (fabs.f64 x) x)
accuracy0.0
(fabs.f64 x)
accuracy0.15219994164397882
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)))
accuracy15.6542045823856
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))
accuracy0.0
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
accuracy0.0
(log.f64 x)
accuracy10.95961462428623
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
accuracy0.0
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
accuracy0.0
(log1p.f64 (fabs.f64 x))
accuracy0.0
(fabs.f64 x)
accuracy10.758431157458968
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))
Samples
37.0ms64×0valid
35.0ms71×1exit
25.0ms121×0invalid
Compiler

Compiled 482 to 55 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-mult: 29.0ms (35.4% of total)
adjust: 23.0ms (28.1% of total)
ival-log: 10.0ms (12.2% of total)
ival-div: 4.0ms (4.9% of total)
ival-hypot: 4.0ms (4.9% of total)
ival-add: 3.0ms (3.7% of total)
ival-copysign: 2.0ms (2.4% of total)
ival-fabs: 2.0ms (2.4% of total)
ival-sub: 2.0ms (2.4% of total)
ival-log1p: 2.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series255.0ms (3.5%)

Memory
10.9MiB live, 211.4MiB allocated
Counts
19 → 43
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
(log.f64 x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) 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)))))))
(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))))))
(+ (fabs x) (* -1 x))
(* 1/2 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 (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
(* 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))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* x (+ 1 (* 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))))
(* -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 (* 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
148.0ms
x
@0
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs 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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* 1/2 x) (sqrt (+ (* x x) 1)))
59.0ms
x
@-inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs 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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* 1/2 x) (sqrt (+ (* x x) 1)))
47.0ms
x
@inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs 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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* 1/2 x) (sqrt (+ (* x x) 1)))

simplify301.0ms (4.2%)

Memory
-31.1MiB live, 167.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177619
1501590
21540582
35368530
08468491
Stop Event
iter limit
node limit
Counts
43 → 42
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)))))))
(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))))))
(+ (fabs x) (* -1 x))
(* 1/2 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 (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
(* 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))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* x (+ 1 (* 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))))
(* -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 (* 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.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 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.f64 (fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x (log1p.f64 (fabs.f64 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.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 45 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))) #s(literal 1/720 binary64)) (*.f64 x x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))))
(fabs x)
(fabs.f64 x)
(log x)
(log.f64 x)
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))
(+ (fabs x) (* -1 x))
(-.f64 (fabs.f64 x) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 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.f64 (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f64 (fabs.f64 x) x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (fabs.f64 x) x))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (fabs.f64 x) x)))
(* -1 x)
(neg.f64 x)
(* x (- (/ (fabs x) x) 1))
(-.f64 (fabs.f64 x) x)
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) #s(literal 1/2 binary64) (*.f64 (log1p.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/2 binary64) x)))
(* -1 (log (/ -1 x)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) 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)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/2 binary64) x))))

rewrite471.0ms (6.5%)

Memory
21.2MiB live, 254.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033242
053242
1167242
21223230
08524217
Stop Event
iter limit
node limit
iter limit
Counts
19 → 157
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
(log.f64 x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(/.f64 (-.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))) (log.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))))) (+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (*.f64 (neg.f64 x) x))) (*.f64 (log1p.f64 (neg.f64 (fabs.f64 x))) (log1p.f64 (neg.f64 (fabs.f64 x))))) (+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 (fabs.f64 x)))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))))) (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (log.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))) (log.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (fabs.f64 x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (*.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 (neg.f64 (fabs.f64 x))) (log1p.f64 (neg.f64 (fabs.f64 x))) (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 (fabs.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))) (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x)))))))
(neg.f64 (neg.f64 (log1p.f64 (fabs.f64 x))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 (fabs.f64 x))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (fabs.f64 x))))
(+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (log.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (log1p.f64 (neg.f64 (fabs.f64 x)))))
(+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x)))))
(+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1 binary64))))
(log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
(log.f64 x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))
#s(literal 0 binary64)
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x))) x)
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)))) (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64))))) (*.f64 (log.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) (log.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))))) (+.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)))) (log.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x)) (*.f64 x x))) (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x)) (*.f64 x x))))) (+.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x)) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)))) (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)))) (fma.f64 (log.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) (log.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) (*.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)))) (log.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x)) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x)) (*.f64 x x))) (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x)) (*.f64 x x))) (*.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x)) (*.f64 x x)))))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x)))))
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(fma.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 1/2 binary64) (log1p.f64 (fabs.f64 x)))
(fma.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1 binary64))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x) (log1p.f64 (fabs.f64 x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x) (log1p.f64 (fabs.f64 x))))))
(fma.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) x) (log1p.f64 (fabs.f64 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (log1p.f64 (fabs.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x) (log1p.f64 (fabs.f64 x)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
(fma.f64 x (*.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (log1p.f64 (fabs.f64 x)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 x)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x) (log1p.f64 (fabs.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x) (log1p.f64 (fabs.f64 x)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x) (log1p.f64 (fabs.f64 x)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x) (log1p.f64 (fabs.f64 x))))))
(+.f64 (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x) (log1p.f64 (fabs.f64 x)))
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))

eval80.0ms (1.1%)

Memory
2.8MiB live, 89.5MiB allocated
Compiler

Compiled 9 349 to 1 067 computations (88.6% saved)

prune9.0ms (0.1%)

Memory
-9.7MiB live, 28.8MiB allocated
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New2401241
Fresh033
Picked055
Done000
Total2409249
Accuracy
100.0%
Counts
249 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.4%
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
28.5%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
26.8%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
28.7%
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
27.3%
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
51.2%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
64.2%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
9.3%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
6.2%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
Compiler

Compiled 178 to 125 computations (29.8% saved)

simplify56.0ms (0.8%)

Memory
11.8MiB live, 50.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
cost-diff0
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
cost-diff0
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
cost-diff0
(fabs.f64 x)
cost-diff0
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
cost-diff0
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
cost-diff0
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
cost-diff0
(+.f64 (fabs.f64 x) x)
cost-diff0
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))
cost-diff0
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)))
cost-diff0
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
cost-diff0
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)))
cost-diff0
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040296
061296
183296
2103296
3114296
4126296
5186296
6233296
7386296
8918296
91297296
101658296
111968296
122049296
132124296
142160296
152172296
02172287
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
#s(literal 1 binary64)
(fabs.f64 x)
x
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))
(+.f64 (fabs.f64 x) x)
(fabs.f64 x)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fabs.f64 x)
Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x)
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(-.f64 (fabs.f64 x) #s(literal -1 binary64))
#s(literal 1 binary64)
(fabs.f64 x)
x
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))
(+.f64 (fabs.f64 x) x)
(fabs.f64 x)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x)))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fabs.f64 x)

localize124.0ms (1.7%)

Memory
5.3MiB live, 246.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fabs.f64 x)
accuracy0.0078125
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
accuracy17.119539607499604
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
accuracy18.469378235637596
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy0.0
(fabs.f64 x)
accuracy0.0078125
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
accuracy17.119539607499604
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
accuracy34.696263294168645
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
accuracy0.0
(+.f64 (fabs.f64 x) x)
accuracy0.0
(fabs.f64 x)
accuracy17.119539607499604
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)))
accuracy34.454668214775694
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))
accuracy0.01171875
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy0.078125
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
accuracy18.514045119877064
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))
accuracy31.016165874060313
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)))
Samples
38.0ms135×0valid
28.0ms31×2valid
21.0ms40×1valid
15.0ms50×1exit
Compiler

Compiled 511 to 71 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-log: 24.0ms (28.7% of total)
ival-add: 11.0ms (13.2% of total)
ival-mult: 11.0ms (13.2% of total)
adjust: 9.0ms (10.8% of total)
ival-hypot: 8.0ms (9.6% of total)
ival-div: 5.0ms (6% of total)
ival-copysign: 5.0ms (6% of total)
ival-log1p: 5.0ms (6% of total)
ival-fabs: 3.0ms (3.6% of total)
ival-sub: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-0.4MiB live, 38.4MiB allocated
Counts
19 → 42
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))
(+.f64 (fabs.f64 x) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(fabs.f64 x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) 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)))))))
(* 1/2 (/ (pow x 2) (+ 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 (fabs 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)))))
(* 1/2 (/ 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))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
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))))
(* -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 (/ (fabs x) x)) 1)))
(* -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
7.0ms
x
@0
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ 1 (fabs x))) 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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (sqrt (+ (* x x) 1)) (fabs x)) (sqrt (+ (* x x) 1)) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) (sqrt (+ (* x x) 1)))
4.0ms
x
@-inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ 1 (fabs x))) 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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (sqrt (+ (* x x) 1)) (fabs x)) (sqrt (+ (* x x) 1)) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) (sqrt (+ (* x x) 1)))
3.0ms
x
@inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ 1 (fabs x))) 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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (sqrt (+ (* x x) 1)) (fabs x)) (sqrt (+ (* x x) 1)) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) (sqrt (+ (* x x) 1)))

simplify140.0ms (1.9%)

Memory
-2.1MiB live, 190.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177621
1505593
21573584
35442532
08273493
Stop Event
iter limit
node limit
Counts
42 → 41
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)))))))
(* 1/2 (/ (pow x 2) (+ 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 (fabs 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)))))
(* 1/2 (/ 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))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
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))))
(* -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 (/ (fabs x) x)) 1)))
(* -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.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x (log1p.f64 (fabs.f64 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.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 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.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 45 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))) #s(literal 1/720 binary64)) (*.f64 x x))) (fma.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x (log1p.f64 (fabs.f64 x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x)
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))
(fabs x)
(fabs.f64 x)
(+ x (fabs x))
(+.f64 (fabs.f64 x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 (/ x (+ 1 (fabs x))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 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.f64 (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x (*.f64 (log1p.f64 (fabs.f64 x)) #s(literal 1 binary64)))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f64 (fabs.f64 x) x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (fabs.f64 x) x))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (fabs.f64 x) x)))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/2 binary64) x)))
(* -1 (log (/ -1 x)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) 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)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f64 (-.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(+.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/2 binary64) x))))

rewrite268.0ms (3.7%)

Memory
-0.4MiB live, 249.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040266
061266
1200266
21413254
08422245
Stop Event
iter limit
node limit
iter limit
Counts
19 → 282
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))
(+.f64 (fabs.f64 x) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(fabs.f64 x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) (fabs.f64 x))))
(*.f64 (/.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1 binary64))))
(*.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))
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(*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))
(pow.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
(/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)))
(/.f64 x (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))
#s(literal 0 binary64)
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))) x)
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(-.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
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(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
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(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
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(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
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(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))
(*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(pow.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)))
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(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64))))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64))) #s(literal -1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))

eval93.0ms (1.3%)

Memory
-14.5MiB live, 59.9MiB allocated
Compiler

Compiled 12 727 to 1 647 computations (87.1% saved)

prune38.0ms (0.5%)

Memory
1.9MiB live, 39.9MiB allocated
Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New3306336
Fresh000
Picked044
Done055
Total33015345
Accuracy
100.0%
Counts
345 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.4%
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
28.5%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
26.8%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
28.7%
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
27.3%
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
51.2%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
64.2%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
9.3%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
6.2%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
6.2%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) x)
6.0%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
6.2%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x)
6.0%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x)
6.2%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
6.0%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
Compiler

Compiled 676 to 449 computations (33.6% saved)

simplify195.0ms (2.7%)

Memory
21.2MiB live, 97.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
cost-diff0
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
cost-diff0
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)))
cost-diff0
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
cost-diff128
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))))
cost-diff0
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
cost-diff512
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))
cost-diff0
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))))
cost-diff0
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x)
cost-diff128
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))
cost-diff0
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x)))
cost-diff0
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x)
cost-diff512
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053734
080726
1128726
2232726
3511726
41278726
53351726
66984726
08191632
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x)
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))
#s(literal 1/2 binary64)
(/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(fabs.f64 x)
x
#s(literal 1 binary64)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(fabs.f64 x)
x
#s(literal 1 binary64)
(*.f64 x x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(fabs.f64 x)
#s(literal 1 binary64)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal 1/2 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 (fabs.f64 x) #s(literal 1 binary64))
(fabs.f64 x)
#s(literal 1 binary64)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(-.f64 #s(literal -1 binary64) (fabs.f64 x))
#s(literal -1 binary64)
(fabs.f64 x)
x
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
#s(literal -1/2 binary64)
(*.f64 x x)
Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x)
(*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x)
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))
(/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (fabs.f64 x) #s(literal -1 binary64)) x)
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(-.f64 (fabs.f64 x) #s(literal -1 binary64))
(fabs.f64 x)
x
#s(literal 1 binary64)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x)
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))
#s(literal 1/2 binary64)
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(-.f64 (fabs.f64 x) #s(literal -1 binary64))
(fabs.f64 x)
x
#s(literal 1 binary64)
(*.f64 x x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))
(*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (fabs.f64 x) #s(literal -1 binary64)) x)
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(-.f64 (fabs.f64 x) #s(literal -1 binary64))
(fabs.f64 x)
#s(literal 1 binary64)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)
(*.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal 1/2 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 (fabs.f64 x) #s(literal 1 binary64))
(fabs.f64 x)
#s(literal 1 binary64)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x)
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x)
(-.f64 #s(literal -1 binary64) (fabs.f64 x))
#s(literal -1 binary64)
(fabs.f64 x)
x
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
#s(literal -1/2 binary64)
(*.f64 x x)

localize276.0ms (3.8%)

Memory
-12.6MiB live, 144.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.44091379341100023
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
accuracy18.62924795620654
(/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
accuracy29.923294569480525
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
accuracy31.240992707040768
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
accuracy0.24834319904649932
(/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))
accuracy18.234135381197365
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
accuracy29.923294569480525
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))
accuracy31.240992707040768
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)))
accuracy0.0078125
(/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)
accuracy0.1015625
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))
accuracy29.923294569480525
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))
accuracy31.240992707040768
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))))
accuracy0.015625
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
accuracy18.55406761443523
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))
accuracy29.923294569480525
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))
accuracy31.240992707040768
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))))
accuracy0.0078125
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x)
accuracy0.12109375
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))
accuracy29.923294569480525
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))
accuracy31.240992707040768
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x)))
Samples
99.0ms135×0valid
73.0ms52×2valid
42.0ms69×1valid
Compiler

Compiled 1 119 to 90 computations (92% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
ival-fabs: 46.0ms (32.5% of total)
ival-add: 24.0ms (16.9% of total)
ival-log: 18.0ms (12.7% of total)
ival-mult: 13.0ms (9.2% of total)
ival-div: 12.0ms (8.5% of total)
ival-hypot: 9.0ms (6.4% of total)
adjust: 8.0ms (5.6% of total)
ival-copysign: 3.0ms (2.1% of total)
ival-log1p: 3.0ms (2.1% of total)
ival-sub: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
21.4MiB live, 21.4MiB allocated
Counts
25 → 35
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x)
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
Outputs
(* 1/2 (/ x (+ 1 (fabs 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)))))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* -1/2 (- (fabs x) 1))
(+ (* -1/2 (- (fabs x) 1)) (* 1/2 (* (pow x 2) (- 1 (fabs x)))))
(+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x))))))
(+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x))))))))
(/ 1/2 (+ 1 (fabs x)))
(/ (+ 1 (fabs x)) x)
-1/2
(- (* -1/2 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/2)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/2)) 1/2)) 1/2)
(* 2 (/ (+ 1 (fabs x)) (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))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* 1/2 (/ (- (fabs x) 1) (pow x 2)))
(/ (+ (* 1/2 (- (fabs x) 1)) (* 1/2 (/ (- (fabs x) 1) (pow x 2)))) (pow x 2))
(/ (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 4))))) (pow x 2))
(/ (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 4))) (* 1/2 (/ (- (fabs x) 1) (pow x 6)))))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1/2 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1/2 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))) (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)))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@0
((/ 1/2 (/ (+ (fabs x) 1) x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ (fabs x) 1)) (* x x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/ (* 1/2 x) (/ (+ (fabs x) 1) x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/ 1 (/ (- -1 (fabs x)) (* -1/2 (* x x)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (/ (+ (fabs x) 1) x)) x) (/ 1/2 (+ (fabs x) 1)) (/ (+ (fabs x) 1) x) (/ 1/2 (+ (* x x) -1)) (/ (- -1 (fabs x)) (* -1/2 (* x x))))
4.0ms
x
@-inf
((/ 1/2 (/ (+ (fabs x) 1) x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ (fabs x) 1)) (* x x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/ (* 1/2 x) (/ (+ (fabs x) 1) x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/ 1 (/ (- -1 (fabs x)) (* -1/2 (* x x)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (/ (+ (fabs x) 1) x)) x) (/ 1/2 (+ (fabs x) 1)) (/ (+ (fabs x) 1) x) (/ 1/2 (+ (* x x) -1)) (/ (- -1 (fabs x)) (* -1/2 (* x x))))
4.0ms
x
@inf
((/ 1/2 (/ (+ (fabs x) 1) x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ (fabs x) 1)) (* x x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/ (* 1/2 x) (/ (+ (fabs x) 1) x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/ 1 (/ (- -1 (fabs x)) (* -1/2 (* x x)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (/ (+ (fabs x) 1) x)) x) (/ 1/2 (+ (fabs x) 1)) (/ (+ (fabs x) 1) x) (/ 1/2 (+ (* x x) -1)) (/ (- -1 (fabs x)) (* -1/2 (* x x))))

simplify217.0ms (3%)

Memory
-16.6MiB live, 190.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158636
1408602
21270577
34428530
08085493
Stop Event
iter limit
node limit
Counts
35 → 35
Calls
Call 1
Inputs
(* 1/2 (/ x (+ 1 (fabs 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)))))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* -1/2 (- (fabs x) 1))
(+ (* -1/2 (- (fabs x) 1)) (* 1/2 (* (pow x 2) (- 1 (fabs x)))))
(+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x))))))
(+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x))))))))
(/ 1/2 (+ 1 (fabs x)))
(/ (+ 1 (fabs x)) x)
-1/2
(- (* -1/2 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/2)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/2)) 1/2)) 1/2)
(* 2 (/ (+ 1 (fabs x)) (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))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* 1/2 (/ (- (fabs x) 1) (pow x 2)))
(/ (+ (* 1/2 (- (fabs x) 1)) (* 1/2 (/ (- (fabs x) 1) (pow x 2)))) (pow x 2))
(/ (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 4))))) (pow x 2))
(/ (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 4))) (* 1/2 (/ (- (fabs x) 1) (pow x 6)))))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1/2 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1/2 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))) (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)))
Outputs
(* 1/2 (/ x (+ 1 (fabs x))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 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.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 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.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 45 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))) #s(literal 1/720 binary64)) (*.f64 x x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
(* -1/2 (- (fabs x) 1))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))
(+ (* -1/2 (- (fabs x) 1)) (* 1/2 (* (pow x 2) (- 1 (fabs x)))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64)))
(+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x))))))
(*.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x))))))))
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ (+ 1 (fabs x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)
-1/2
#s(literal -1/2 binary64)
(- (* -1/2 (pow x 2)) 1/2)
(*.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))
(- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/2)) 1/2)
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/2)) 1/2)) 1/2)
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 1 binary64))))
(* 2 (/ (+ 1 (fabs x)) (pow x 2)))
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64)) x) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 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.f64 (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (*.f64 (log1p.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(* 1/2 (/ (- (fabs x) 1) (pow x 2)))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64)) x) x)
(/ (+ (* 1/2 (- (fabs x) 1)) (* 1/2 (/ (- (fabs x) 1) (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
(/ (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 4))))) (pow x 2))
(/.f64 (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x x))
(/ (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 4))) (* 1/2 (/ (- (fabs x) 1) (pow x 6)))))) (pow x 2))
(/.f64 (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ (+ 1/2 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)
(/ (+ 1/2 (+ (/ 1/2 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1/2 (+ (/ 1/2 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x x))
(* -1 (log (/ -1 x)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) 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)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -1/6 binary64) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))

rewrite266.0ms (3.7%)

Memory
24.1MiB live, 217.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053635
080607
1249607
21971607
08207552
Stop Event
iter limit
node limit
iter limit
Counts
25 → 831
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x)
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
Outputs
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (neg.f64 x))
(*.f64 (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)))
(*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)))
(/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 x (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64))))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (neg.f64 x))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 x (-.f64 #s(literal -1 binary64) (fabs.f64 x))))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) x) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (fabs.f64 x))))
(*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x) #s(literal 1 binary64))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x)
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x))
(*.f64 x (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) x))
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) x))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) x))
(/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x))
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x))
(/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) x))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (fabs.f64 x))) (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64)) x)
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) x) (*.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))))
(/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x)))
(/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)))
(/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) (neg.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)) (neg.f64 (*.f64 (fabs.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (fabs.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (/.f64 (pow.f64 (*.f64 (fabs.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (fabs.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (fabs.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (fabs.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 x x))))))) (/.f64 (/.f64 (pow.f64 (/.f64 (fabs.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (fabs.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (fabs.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 x x))))))))
(-.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (fabs.f64 x)) (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (fabs.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (fabs.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 (fabs.f64 x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))) (/.f64 (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) (*.f64 #s(literal -1/2 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (/.f64 (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))) (/.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 (fabs.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 (fabs.f64 x) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (fabs.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (log1p.f64 (fabs.f64 x))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log1p.f64 (fabs.f64 x)) (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (neg.f64 (*.f64 (fabs.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))

eval236.0ms (3.3%)

Memory
-17.0MiB live, 183.7MiB allocated
Compiler

Compiled 27 588 to 3 571 computations (87.1% saved)

prune43.0ms (0.6%)

Memory
-9.4MiB live, 101.7MiB allocated
Pruning

27 alts after pruning (14 fresh and 13 done)

PrunedKeptTotal
New55614570
Fresh101
Picked145
Done099
Total55827585
Accuracy
100.0%
Counts
585 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.4%
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
28.5%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
26.8%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
28.7%
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
27.3%
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
51.2%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
64.2%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
9.3%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
6.2%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
2.6%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 (fabs.f64 x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x x)))))) x)
4.9%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x)
6.0%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
6.0%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))))) x)
6.2%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1 (fabs x)) (* -1/2 (* x x))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64)) x) x))))) x)
5.0%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) x))) x)
6.2%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x)
6.0%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x)
5.0%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))))) x)
6.0%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) x))) x)
5.0%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
4.9%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))) x) x))) x)
6.2%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
6.0%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
4.5%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
5.5%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x)
4.8%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64)) x) x)) x) x))) x)
4.1%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (*.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) x) x))) x)
Compiler

Compiled 2 183 to 886 computations (59.4% saved)

regimes49.0ms (0.7%)

Memory
19.2MiB live, 74.5MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64)) x) x)) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1 (fabs x)) (* -1/2 (* x x))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64)) x) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (*.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 (fabs.f64 x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
Calls

2 calls:

9.0ms
x
8.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
99.7%3x
99.7%3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes29.0ms (0.4%)

Memory
-30.1MiB live, 48.7MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64)) x) x)) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1 (fabs x)) (* -1/2 (* x x))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64)) x) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (*.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 (fabs.f64 x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
Calls

2 calls:

18.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
9.0ms
x
Results
AccuracySegmentsBranch
99.2%3x
99.2%3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes17.0ms (0.2%)

Memory
-4.0MiB live, 34.8MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64)) x) x)) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1 (fabs x)) (* -1/2 (* x x))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64)) x) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (*.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 (fabs.f64 x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
Outputs
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
Calls

2 calls:

8.0ms
x
7.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
98.8%3x
98.8%3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes16.0ms (0.2%)

Memory
31.9MiB live, 31.9MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64)) x) x)) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1 (fabs x)) (* -1/2 (* x x))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64)) x) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (*.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 (fabs.f64 x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
Outputs
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
Calls

2 calls:

7.0ms
x
6.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
98.8%3x
98.8%3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes35.0ms (0.5%)

Memory
-21.1MiB live, 24.0MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64)) x) x)) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1 (fabs x)) (* -1/2 (* x x))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64)) x) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (*.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 (fabs.f64 x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
Calls

2 calls:

26.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
7.0ms
x
Results
AccuracySegmentsBranch
80.9%2x
80.9%2(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes15.0ms (0.2%)

Memory
21.6MiB live, 21.6MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64)) x) x)) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1 (fabs x)) (* -1/2 (* x x))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64)) x) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (*.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 (fabs.f64 x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
Calls

2 calls:

7.0ms
x
6.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
64.2%1x
64.2%1(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes24.0ms (0.3%)

Memory
-8.2MiB live, 31.1MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64)) x) x)) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1 (fabs x)) (* -1/2 (* x x))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64)) x) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (*.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 (fabs.f64 x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
Calls

2 calls:

16.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
7.0ms
x
Results
AccuracySegmentsBranch
12.9%2x
12.9%2(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes16.0ms (0.2%)

Memory
-6.6MiB live, 30.6MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64)) x) x)) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1 (fabs x)) (* -1/2 (* x x))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64)) x) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (*.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 (fabs.f64 x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x x)))))) x)
Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
Calls

2 calls:

9.0ms
x
6.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
6.2%1(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
6.2%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes3.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x)
Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x)
Calls

2 calls:

1.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
1.0ms
x
Results
AccuracySegmentsBranch
5.5%1x
5.5%1(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0702549957380782e-12
15.174932302032746
0.0ms
-4.762919948841247
-6.358294981404373e-9
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0702549957380782e-12
15.174932302032746
0.0ms
-4.762919948841247
-6.358294981404373e-9
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0702549957380782e-12
15.174932302032746
0.0ms
-4.762919948841247
-6.358294981404373e-9
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0702549957380782e-12
15.174932302032746
0.0ms
-4.762919948841247
-6.358294981404373e-9
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0702549957380782e-12
15.174932302032746
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch49.0ms (0.7%)

Memory
-4.4MiB live, 32.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
47.0ms
1.0703632207964783e-12
1946970.4780933391
Samples
40.0ms160×0valid
Compiler

Compiled 565 to 401 computations (29% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-log: 32.0ms (86.6% of total)
ival-hypot: 2.0ms (5.4% of total)
ival-copysign: 1.0ms (2.7% of total)
ival-add: 1.0ms (2.7% of total)
ival-fabs: 1.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify83.0ms (1.1%)

Memory
-6.9MiB live, 39.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088550
1115550
2164550
3288550
4521550
51430550
63263550
77380550
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -4 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -4 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -4 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -4 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x)
Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -4 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -4 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -4 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -4 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x)

soundness1.4s (19.7%)

Memory
18.3MiB live, 719.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040266
061266
1200266
21413254
08422245
0158636
1408602
21270577
34428530
08085493
0169586
1490558
21525545
35471495
08548457
0177619
1501590
21540582
35368530
08468491
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 740 to 229 computations (69.1% saved)

preprocess106.0ms (1.5%)

Memory
12.5MiB live, 212.6MiB allocated
Compiler

Compiled 1 164 to 218 computations (81.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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