Rust f64::asinh

Time bar (total: 2.2s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
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)

sample525.0ms (24.2%)

Memory
34.0MiB live, 464.6MiB allocated; 148ms collecting garbage
Samples
339.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-asinh: 87.0ms (94.4% of total)
ival-assert: 3.0ms (3.3% of total)
adjust: 2.0ms (2.2% of total)
Bogosity

explain213.0ms (9.8%)

Memory
-15.9MiB live, 215.9MiB allocated; 27ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1230-1(-0.022870758499183953)(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
720-0-(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)))))sensitivity1222
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))oflow-rescue720
(*.f64 x x)overflow72
(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow72
Confusion
Predicted +Predicted -
+1941
-061
Precision
1.0
Recall
0.9948717948717949
Confusion?
Predicted +Predicted MaybePredicted -
+19410
-0160
Precision?
0.9948979591836735
Recall?
1.0
Freqs
test
numberfreq
062
1194
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
51.0ms96×2valid
37.0ms142×1valid
33.0ms274×0valid
Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-log: 40.0ms (40.7% of total)
ival-hypot: 19.0ms (19.3% of total)
ival-mult: 11.0ms (11.2% of total)
adjust: 10.0ms (10.2% of total)
ival-copysign: 7.0ms (7.1% of total)
ival-add: 7.0ms (7.1% of total)
ival-fabs: 3.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess141.0ms (6.5%)

Memory
22.8MiB live, 119.6MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
0912
01612
12412
24512
38512
414412
535112
6240112
7591412
0815312
Stop Event
iter limit
node limit
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 (-.f64 (*.f64 x x) #s(literal -1 binary64))) (fabs.f64 x))) x)
Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.8%
(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)

series7.0ms (0.3%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Counts
9 → 44
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
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Calls

3 calls:

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

rewrite157.0ms (7.2%)

Memory
-15.1MiB live, 168.2MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02261103
0238900
11345759
08449751
Stop Event
iter limit
node limit
iter limit
Counts
53 → 108
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)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
(copysign.f64 (asinh.f64 x) x)
(asinh.f64 x)
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (*.f64 x x) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x)))))))
(log.f64 (+.f64 (cosh.f64 (asinh.f64 x)) x))
(/.f64 (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (cosh.f64 (asinh.f64 x)) x))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (cosh.f64 (asinh.f64 x)) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x)))))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 x (cosh.f64 (asinh.f64 x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cosh.f64 (asinh.f64 x)))) (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x (cosh.f64 (asinh.f64 x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x x) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x)))))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (+.f64 (*.f64 x x) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x)))))))
(+.f64 (cosh.f64 (asinh.f64 x)) x)
(+.f64 x (cosh.f64 (asinh.f64 x)))
x
x
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64))
(pow.f64 (+.f64 (*.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 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (exp.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(cosh.f64 (neg.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (neg.f64 (cosh.f64 (asinh.f64 x))))
(*.f64 (fabs.f64 (cosh.f64 (asinh.f64 x))) (fabs.f64 (cosh.f64 (asinh.f64 x))))
(*.f64 (cosh.f64 (asinh.f64 x)) (cosh.f64 (asinh.f64 x)))
(pow.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 2 binary64))
(pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))))
(sqrt.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(+.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (asinh.f64 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (ratio-square-sum.f64 x #s(literal 1 binary64)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (+.f64 (ratio-square-sum.f64 #s(literal 1 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))) (*.f64 #s(literal -1/2 binary64) (ratio-square-sum.f64 #s(literal 1 binary64) x))) (*.f64 x x)) (log.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (*.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (*.f64 #s(literal 45 binary64) (ratio-square-sum.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (ratio-square-sum.f64 #s(literal 1 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) #s(literal -1/24 binary64))) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (ratio-square-sum.f64 #s(literal 1 binary64) x))) (*.f64 x x)) (log.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 (*.f64 (-.f64 (*.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(approx (fabs x) x)
#s(approx (fabs x) x)
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.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)))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (+.f64 (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 x x) (log.f64 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) x)) (/.f64 x x)) (log.f64 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (+.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) x)) (/.f64 x x))) (log.f64 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x x)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x x)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64))) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x))
#s(approx (+ (* x x) 1) (*.f64 x x))
#s(approx (+ (* x x) 1) (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 x x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))) x)) x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (+.f64 (/.f64 (neg.f64 x) x) #s(literal 1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x)) x) x)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64))) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64)))))

eval60.0ms (2.8%)

Memory
29.3MiB live, 74.8MiB allocated; 4ms collecting garbage
Samples
30.0ms661×0valid
5.0ms107×0invalid
Compiler

Compiled 2 201 to 633 computations (71.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 6.0ms (39.3% of total)
ival-div: 4.0ms (26.2% of total)
ival-add: 4.0ms (26.2% of total)
ival-true: 1.0ms (6.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

prune4.0ms (0.2%)

Memory
-39.4MiB live, 6.6MiB allocated; 4ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1033106
Fresh000
Picked101
Done000
Total1043107
Accuracy
100.0%
Counts
107 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.4%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
24.4%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
99.8%
(copysign.f64 (asinh.f64 x) x)
Compiler

Compiled 33 to 24 computations (27.3% saved)

series6.0ms (0.3%)

Memory
8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Counts
13 → 54
Calls
Call 1
Inputs
(copysign.f64 (asinh.f64 x) x)
(asinh.f64 x)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))
(fabs.f64 x)
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 x)
Outputs
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh x) #s(hole binary64 x))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh x) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -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
@-inf
((copysign (asinh x) x) (asinh x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x))
1.0ms
x
@0
((copysign (asinh x) x) (asinh x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x))
1.0ms
x
@inf
((copysign (asinh x) x) (asinh x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x))

rewrite181.0ms (8.4%)

Memory
26.4MiB live, 127.2MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02861382
02981110
11736978
08309970
Stop Event
iter limit
node limit
iter limit
Counts
67 → 94
Calls
Call 1
Inputs
(copysign.f64 (asinh.f64 x) x)
(asinh.f64 x)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))
(fabs.f64 x)
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 x)
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh x) #s(hole binary64 x))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh x) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
(copysign.f64 (asinh.f64 x) x)
(asinh.f64 x)
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (*.f64 x x) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x)))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))
(-.f64 (log.f64 (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) (log.f64 (+.f64 (cosh.f64 (asinh.f64 x)) (neg.f64 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (log.f64 (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 (cosh.f64 (asinh.f64 x)) (neg.f64 x))))))
(log.f64 (+.f64 (cosh.f64 (asinh.f64 x)) x))
x
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)))) (log.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary64)))) (log.f64 (+.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x))
(/.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64))) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))) (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))) (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary64)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) x))
x
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x)) x)
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)))) (log.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x))
(/.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64))) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))))) (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 3 binary64)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))))))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x)
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (asinh.f64 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (fabs x) x)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (asinh.f64 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (ratio-square-sum.f64 x #s(literal 1 binary64)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (+.f64 (ratio-square-sum.f64 #s(literal 1 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))) (*.f64 #s(literal -1/2 binary64) (ratio-square-sum.f64 #s(literal 1 binary64) x))) (*.f64 x x)) (log.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (*.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (*.f64 #s(literal 45 binary64) (ratio-square-sum.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (ratio-square-sum.f64 #s(literal 1 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) #s(literal -1/24 binary64))) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (ratio-square-sum.f64 #s(literal 1 binary64) x))) (*.f64 x x)) (log.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 (*.f64 (-.f64 (*.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(approx (fabs x) x)
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.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)))
#s(approx (neg x) (neg.f64 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 x #s(literal 2 binary64))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 x x) (log.f64 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (+.f64 (*.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 x x)) (log.f64 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))) (+.f64 (*.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 x x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x x)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x x)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64))) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (asinh.f64 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 x x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) x))) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) x) #s(literal -1/6 binary64))) x)) x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (+.f64 (/.f64 (neg.f64 x) x) #s(literal 1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x)) x) x)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64))) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64)))))

eval49.0ms (2.3%)

Memory
-18.2MiB live, 72.3MiB allocated; 11ms collecting garbage
Samples
29.0ms512×0valid
Compiler

Compiled 2 575 to 512 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-add: 6.0ms (44.4% of total)
ival-mult: 4.0ms (29.6% of total)
ival-div: 3.0ms (22.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

prune5.0ms (0.2%)

Memory
12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New975102
Fresh000
Picked123
Done000
Total987105
Accuracy
100.0%
Counts
105 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.4%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
22.9%
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
99.8%
(copysign.f64 (asinh.f64 x) x)
50.1%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)) x)
50.0%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)) x)
49.9%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) x)
50.1%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
Compiler

Compiled 241 to 166 computations (31.1% saved)

series22.0ms (1%)

Memory
-27.1MiB live, 31.0MiB allocated; 7ms collecting garbage
Counts
34 → 126
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
x
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
#s(literal -1/6 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)
(+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x))
(-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x))
(-.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x))
(+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64))
(*.f64 #s(literal -5/112 binary64) (*.f64 x x))
#s(literal -5/112 binary64)
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)
#s(approx (sqrt (+ (* x x) 1)) x)
Outputs
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* -1/6 (* x x)) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (* (- (* 3/40 (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (* (- (* 3/40 (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (* 3/40 (* x x)) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 3/40))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (+ 3/40 (* -5/112 (pow x 2)))))
#s(approx (* -5/112 (* x x)) #s(hole binary64 (* -5/112 (pow x 2))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 1))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 3/40 (pow x 5))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 3/40 (pow x 4))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (- (* 3/40 (* x x)) 1/6) (* x x)) #s(hole binary64 (* 3/40 (pow x 4))))
#s(approx (* (- (* 3/40 (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -5/112 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* -5/112 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -5/112 (pow x 6))))
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* -5/112 (pow x 4))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* -5/112 (pow x 4))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* -5/112 (pow x 2))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) (* -1/6 (* x x)) -1/6 (* x x) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (* (- (* 3/40 (* x x)) 1/6) (* x x)) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) 3/40 1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) (* -5/112 (* x x)) -5/112 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)))
8.0ms
x
@inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) (* -1/6 (* x x)) -1/6 (* x x) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (* (- (* 3/40 (* x x)) 1/6) (* x x)) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) 3/40 1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) (* -5/112 (* x x)) -5/112 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)))
3.0ms
x
@0
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) (* -1/6 (* x x)) -1/6 (* x x) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (* (- (* 3/40 (* x x)) 1/6) (* x x)) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) 3/40 1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) (* -5/112 (* x x)) -5/112 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)))

rewrite201.0ms (9.3%)

Memory
6.1MiB live, 192.1MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04443574
04863203
122642977
097022969
Stop Event
iter limit
node limit
iter limit
Counts
160 → 280
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
x
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
#s(literal -1/6 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)
(+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x))
(-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x))
(-.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x))
(+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64))
(*.f64 #s(literal -5/112 binary64) (*.f64 x x))
#s(literal -5/112 binary64)
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* -1/6 (* x x)) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (* (- (* 3/40 (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (* (- (* 3/40 (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (* 3/40 (* x x)) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 3/40))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (+ 3/40 (* -5/112 (pow x 2)))))
#s(approx (* -5/112 (* x x)) #s(hole binary64 (* -5/112 (pow x 2))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 1))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 3/40 (pow x 5))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 3/40 (pow x 4))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (- (* 3/40 (* x x)) 1/6) (* x x)) #s(hole binary64 (* 3/40 (pow x 4))))
#s(approx (* (- (* 3/40 (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -5/112 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* -5/112 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -5/112 (pow x 6))))
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* -5/112 (pow x 4))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* -5/112 (pow x 4))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* -5/112 (pow x 2))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) x) x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) x)
x
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))))
(+.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
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#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 x x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) x))) x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) x) #s(literal -1/6 binary64))) x)) x) x))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 3/40 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 3/40 binary64)) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 #s(literal 5/112 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 5/112 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 5/112 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal -6 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (asinh.f64 x) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f64 (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -6 binary64)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f64 (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal -6 binary64)))) x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))

eval164.0ms (7.6%)

Memory
2.1MiB live, 230.6MiB allocated; 37ms collecting garbage
Samples
52.0ms1 256×0valid
29.0ms536×0invalid
Compiler

Compiled 14 218 to 2 107 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 13.0ms (37.8% of total)
ival-div: 10.0ms (29.1% of total)
ival-add: 9.0ms (26.2% of total)
ival-true: 1.0ms (2.9% of total)
ival-assert: 1.0ms (2.9% of total)
adjust: 0.0ms (0% of total)

prune18.0ms (0.8%)

Memory
37.1MiB live, 37.1MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New3851386
Fresh000
Picked145
Done022
Total3867393
Accuracy
100.0%
Counts
393 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.4%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
22.9%
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
99.8%
(copysign.f64 (asinh.f64 x) x)
50.0%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x))) x)
50.1%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)) x)
49.9%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) x)
50.1%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
Compiler

Compiled 130 to 89 computations (31.5% saved)

series7.0ms (0.3%)

Memory
-37.6MiB live, 8.7MiB allocated; 4ms collecting garbage
Counts
11 → 37
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)))
(+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x))
x
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(*.f64 x x)
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
Outputs
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 x))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) #s(hole binary64 (* (pow x 3) (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (* (* x x) 3/40) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* 3/40 (pow x 5))))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) #s(hole binary64 (* 3/40 (pow x 5))))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) #s(hole binary64 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) #s(hole binary64 (* 3/40 (pow x 4))))
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) #s(hole binary64 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary64 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) (* (- (* (* x x) 3/40) 1/6) (* x x)) (- (* (* x x) 3/40) 1/6) (* (* x x) 3/40) (* x x) 3/40 1/6)
2.0ms
x
@inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) (* (- (* (* x x) 3/40) 1/6) (* x x)) (- (* (* x x) 3/40) 1/6) (* (* x x) 3/40) (* x x) 3/40 1/6)
1.0ms
x
@0
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) (* (- (* (* x x) 3/40) 1/6) (* x x)) (- (* (* x x) 3/40) 1/6) (* (* x x) 3/40) (* x x) 3/40 1/6)

rewrite135.0ms (6.2%)

Memory
-1.1MiB live, 144.8MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01841096
0198947
11006821
08656807
Stop Event
iter limit
node limit
iter limit
Counts
48 → 120
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)))
(+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x))
x
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(*.f64 x x)
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 x))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) #s(hole binary64 (* (pow x 3) (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (* (* x x) 3/40) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* 3/40 (pow x 5))))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) #s(hole binary64 (* 3/40 (pow x 5))))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) #s(hole binary64 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) #s(hole binary64 (* 3/40 (pow x 4))))
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) #s(hole binary64 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary64 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) x))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x)
(*.f64 x (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (*.f64 x (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (-.f64 (+.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))))
(-.f64 (ratio-square-sum.f64 x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))))))
(-.f64 x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))))
(-.f64 x (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x))))
(-.f64 x (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))))) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))))
x
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) x)) x)
(*.f64 (*.f64 x (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) (*.f64 x x))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x)) x)
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) x))
(*.f64 x (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) x)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) (*.f64 x x))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 x (*.f64 x (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) (neg.f64 (+.f64 (+.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal -1/6 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))))
(-.f64 (ratio-square-sum.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal -1/6 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) (/.f64 #s(literal 1/216 binary64) (+.f64 (+.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))))
(-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal -1/6 binary64))
(*.f64 (*.f64 #s(literal 3/40 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 3/40 binary64) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 3/40 binary64)))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 3/40 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (asinh.f64 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (ratio-square-sum.f64 x #s(literal 1 binary64)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 (ratio-square-sum.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))) x) x) (*.f64 #s(literal -1/2 binary64) (ratio-square-sum.f64 #s(literal 1 binary64) x))) (*.f64 x x)) (log.f64 (-.f64 x #s(literal -1 binary64)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 (ratio-square-sum.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 45 binary64) (+.f64 (ratio-square-sum.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))) (/.f64 #s(literal -30 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))))) (+.f64 (*.f64 (*.f64 (*.f64 (ratio-square-sum.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x) (log.f64 (-.f64 x #s(literal -1 binary64))))))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) x)
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) x))
#s(approx x x)
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))))
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* (* x x) 3/40) 1/6) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))
#s(approx (* (* x x) 3/40) (*.f64 (*.f64 #s(literal 3/40 binary64) x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 x x) (log.f64 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (+.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (ratio-of-squares.f64 x x)) #s(literal 1/2 binary64)) (/.f64 x x)) (log.f64 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)) (+.f64 (+.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (ratio-of-squares.f64 x x)) #s(literal 1/2 binary64)) (/.f64 x x)) (log.f64 x))))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) (*.f64 (-.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/40 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) (*.f64 (-.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/40 binary64)))
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
#s(approx (- (* (* x x) 3/40) 1/6) (*.f64 (*.f64 #s(literal 3/40 binary64) x) x))
#s(approx (- (* (* x x) 3/40) 1/6) (*.f64 (*.f64 (-.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (+.f64 (/.f64 x x) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) x) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 x (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x)) x) #s(literal -1/6 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) x)) x)))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 3/40 binary64)) (pow.f64 x #s(literal -4 binary64)))))
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 5 binary64))))

eval96.0ms (4.4%)

Memory
48.2MiB live, 138.3MiB allocated; 11ms collecting garbage
Samples
48.0ms1 093×0valid
8.0ms187×0invalid
Compiler

Compiled 5 109 to 875 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 11.0ms (42.6% of total)
ival-div: 8.0ms (31% of total)
ival-add: 5.0ms (19.4% of total)
ival-true: 1.0ms (3.9% of total)
ival-assert: 1.0ms (3.9% of total)
adjust: 0.0ms (0% of total)

prune14.0ms (0.7%)

Memory
-33.7MiB live, 17.9MiB allocated; 12ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1530153
Fresh000
Picked011
Done066
Total1537160
Accuracy
100.0%
Counts
160 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.4%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
22.9%
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
99.8%
(copysign.f64 (asinh.f64 x) x)
50.0%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x))) x)
50.1%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)) x)
49.9%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) x)
50.1%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
Compiler

Compiled 314 to 153 computations (51.3% saved)

regimes7.0ms (0.3%)

Memory
13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)) x)
(copysign.f64 (asinh.f64 x) x)
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.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 (asinh.f64 x) x)
Calls

2 calls:

3.0ms
x
3.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
99.8%1(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
99.8%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes5.0ms (0.2%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Accuracy

Total -0.6b remaining (-1.8%)

Threshold costs -0.6b (-1.8%)

Counts
5 → 1
Calls
Call 1
Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)) x)
Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
Calls

2 calls:

2.0ms
x
2.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
50.1%1(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
50.1%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify85.0ms (3.9%)

Memory
-26.1MiB live, 60.1MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01218
12018
24118
38218
413218
533618
6272318
7671118
Stop Event
node limit
Calls
Call 1
Inputs
(copysign.f64 (asinh.f64 x) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
Outputs
(copysign.f64 (asinh.f64 x) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)

derivations49.0ms (2.3%)

Memory
-4.2MiB live, 40.8MiB allocated; 17ms collecting garbage
Stop Event
done
Compiler

Compiled 18 to 12 computations (33.3% saved)

preprocess15.0ms (0.7%)

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

Compiled 60 to 42 computations (30% saved)

end0.0ms (0%)

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

Profiling

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