Rust f64::acosh

Time bar (total: 1.4s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample596.0ms (42.1%)

Memory
10.8MiB live, 607.7MiB allocated; 146ms collecting garbage
Samples
371.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 166.0ms
ival-acosh: 160.0ms (96.6% of total)
adjust: 3.0ms (1.8% of total)
ival-assert: 3.0ms (1.8% of total)
Bogosity

explain116.0ms (8.2%)

Memory
-10.4MiB live, 172.1MiB allocated; 36ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1310-0-(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
00-0-(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
00-0-#s(literal 1 binary64)
00-0-(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
00-0-(*.f64 x x)
00-0-(-.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))oflow-rescue1310
↳(-.f64 (*.f64 x x) #s(literal 1 binary64))overflow131
↳(*.f64 x x)overflow131
Confusion
Predicted +Predicted -
+1310
-0125
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13100
-00125
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0125
1131
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms512×0valid
Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-log: 6.0ms (30.8% of total)
ival-mult: 4.0ms (20.5% of total)
ival-sub: 3.0ms (15.4% of total)
ival-sqrt: 3.0ms (15.4% of total)
ival-add: 2.0ms (10.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess132.0ms (9.3%)

Memory
49.3MiB live, 139.0MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
079
0129
1229
2499
31219
43839
523359
678899
080198
Stop Event
1×iter limit
1×node limit
1×iter limit
1×saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) x))) (sqrt.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

series8.0ms (0.6%)

Memory
-33.2MiB live, 12.2MiB allocated; 4ms collecting garbage
Counts
7 → 42
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
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 (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole 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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole 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 (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (- (* x x) 1)) #s(hole 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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)
2.0ms
x
@-inf
((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)
2.0ms
x
@0
((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)

rewrite123.0ms (8.7%)

Memory
-9.4MiB live, 81.3MiB allocated; 104ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0202988
0210724
01179694
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
49 → 64
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
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 (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole 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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole 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 (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (- (* x x) 1)) #s(hole 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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
Outputs
(acosh.f64 x)
(log.f64 (+.f64 (sinh.f64 (acosh.f64 x)) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (sinh.f64 (acosh.f64 x)) (sinh.f64 (acosh.f64 x)))) (-.f64 x (sinh.f64 (acosh.f64 x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (-.f64 (*.f64 (sinh.f64 (acosh.f64 x)) (sinh.f64 (acosh.f64 x))) (*.f64 x (sinh.f64 (acosh.f64 x))))))
(+.f64 (sinh.f64 (acosh.f64 x)) x)
(+.f64 x (sinh.f64 (acosh.f64 x)))
x
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sinh.f64 (acosh.f64 x))
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (/.f64 x (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (log.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -1/6 binary64) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x (log.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal 3/40 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x (log.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))))
#s(approx (+ x (sqrt (- (* x x) 1))) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) x #s(literal 1 binary64)) x (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx x x)
#s(approx (sqrt (- (* x x) 1)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (*.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x x) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (*.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(approx (- (* x x) 1) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (* x x) (*.f64 x x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/32 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (*.f64 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5/96 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 3/32 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 2 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/16 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) x))
#s(approx (sqrt (- (* x x) 1)) x)
#s(approx (sqrt (- (* x x) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (sqrt (- (* x x) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))
#s(approx (sqrt (- (* x x) 1)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/16 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) x))
#s(approx (- (* x x) 1) (*.f64 x x))
#s(approx (- (* x x) 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))) (log.f64 #s(literal -1/2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))) (log.f64 #s(literal -1/2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64))) (+.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 5/96 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/16 binary64) #s(literal 1/8 binary64))) (*.f64 x x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5/128 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x) #s(literal -1 binary64)))
#s(approx (sqrt (- (* x x) 1)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (- (* x x) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64)))
#s(approx (sqrt (- (* x x) 1)) (*.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* x x) 1)) (*.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/16 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))

eval14.0ms (1%)

Memory
-33.3MiB live, 14.4MiB allocated; 8ms collecting garbage
Compiler

Compiled 1 319 to 311 computations (76.4% saved)

prune11.0ms (0.7%)

Memory
13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New66268
Fresh000
Picked101
Done000
Total67269
Accuracy
100.0%
Counts
69 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(log.f64 (+.f64 (sinh.f64 (acosh.f64 x)) x))
▶99.8%
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))))
Compiler

Compiled 33 to 23 computations (30.3% saved)

series16.0ms (1.2%)

Memory
24.1MiB live, 24.1MiB allocated; 0ms collecting garbage
Counts
18 → 108
Calls
Call 1
Inputs
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))))
(+.f64 x #s(approx (sqrt (- (* x x) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x)))
x
#s(approx (sqrt (- (* x x) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64))
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(*.f64 x x)
#s(literal -1 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(log.f64 (+.f64 (sinh.f64 (acosh.f64 x)) x))
(+.f64 (sinh.f64 (acosh.f64 x)) x)
(sinh.f64 (acosh.f64 x))
(acosh.f64 x)
Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (/ -1/8 (pow x 3))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (/ (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8) (pow x 3))))
#s(approx (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) #s(hole binary64 (/ -1/8 (pow x 4))))
#s(approx (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) #s(hole binary64 (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 4))))
#s(approx (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) #s(hole binary64 (/ (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8) (pow x 4))))
#s(approx (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) #s(hole binary64 (/ 1/8 (pow x 4))))
#s(approx (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) #s(hole binary64 (/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 4))))
#s(approx (+ (* (pow (* x x) -1) 1/8) 1/2) #s(hole binary64 (/ 1/8 (pow x 2))))
#s(approx (+ (* (pow (* x x) -1) 1/8) 1/2) #s(hole binary64 (/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 2))))
#s(approx (pow (* x x) -1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (+ (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* 2 (/ (* x (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (+ (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 1/2 (* x (+ (* -4 (/ (pow (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 2 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (- (sqrt -1) (/ 1 (sqrt -1)))))))) (* 2 (/ (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (+ (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 2 (/ (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 1/6 (* x (+ (* -12 (/ (* (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 16 (/ (pow (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 3) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)))))) (* 1/2 (+ (* -4 (/ (pow (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 2 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (- (sqrt -1) (/ 1 (sqrt -1))))))))))))))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))))))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ 1 (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))))))))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ 1 (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))))))
#s(approx (acosh x) #s(hole binary64 (log (sqrt -1))))
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole 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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) #s(hole binary64 (- 1 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
#s(approx (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
#s(approx (+ (* (pow (* x x) -1) 1/8) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (pow (* x x) -1) 1/8) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 (/ 1 (pow x 2))))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1/8 (/ (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1/8 (/ (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (+ (* 1/6 (/ (+ (* 1/4 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 3)) (* 3 (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))))) (pow x 3))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)))))))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 x))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3))))))))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (+ (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3))) (* 1/2 (/ (- (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 5)))))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))) (* 1/2 (/ (- (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 4)))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))) (+ (* 1/2 (/ (- (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 4))) (* 1/2 (/ (- (* -1/32 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 5/64 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 6))))))))
#s(approx (acosh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (acosh x) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (acosh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole 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 (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (- (* x x) 1)) #s(hole 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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x))))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/8 (/ (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2) x))) x))))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) (* -1/4 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 3))) x)) (* -1/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))) x)) (* -1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x))))))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x)) 1)))))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))) x)) 1)))))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))) x)) 1)))))
#s(approx (sinh (acosh x)) #s(hole binary64 (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 5/64 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/32 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (acosh 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)))))))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@0
((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) (+ (* (pow (* x x) -1) 1/8) 1/2) (pow (* x x) -1) (* x x) -1 1/8 1/2 1 (log (+ (sinh (acosh x)) x)) (+ (sinh (acosh x)) x) (sinh (acosh x)) (acosh x))
5.0ms
x
@inf
((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) (+ (* (pow (* x x) -1) 1/8) 1/2) (pow (* x x) -1) (* x x) -1 1/8 1/2 1 (log (+ (sinh (acosh x)) x)) (+ (sinh (acosh x)) x) (sinh (acosh x)) (acosh x))
4.0ms
x
@-inf
((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) (+ (* (pow (* x x) -1) 1/8) 1/2) (pow (* x x) -1) (* x x) -1 1/8 1/2 1 (log (+ (sinh (acosh x)) x)) (+ (sinh (acosh x)) x) (sinh (acosh x)) (acosh x))

rewrite214.0ms (15.2%)

Memory
-7.6MiB live, 176.4MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05144062
05343170
032113086
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
126 → 179
Calls
Call 1
Inputs
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))))
(+.f64 x #s(approx (sqrt (- (* x x) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x)))
x
#s(approx (sqrt (- (* x x) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64))
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(*.f64 x x)
#s(literal -1 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(log.f64 (+.f64 (sinh.f64 (acosh.f64 x)) x))
(+.f64 (sinh.f64 (acosh.f64 x)) x)
(sinh.f64 (acosh.f64 x))
(acosh.f64 x)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (/ -1/8 (pow x 3))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (/ (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8) (pow x 3))))
#s(approx (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) #s(hole binary64 (/ -1/8 (pow x 4))))
#s(approx (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) #s(hole binary64 (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 4))))
#s(approx (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) #s(hole binary64 (/ (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8) (pow x 4))))
#s(approx (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) #s(hole binary64 (/ 1/8 (pow x 4))))
#s(approx (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) #s(hole binary64 (/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 4))))
#s(approx (+ (* (pow (* x x) -1) 1/8) 1/2) #s(hole binary64 (/ 1/8 (pow x 2))))
#s(approx (+ (* (pow (* x x) -1) 1/8) 1/2) #s(hole binary64 (/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 2))))
#s(approx (pow (* x x) -1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (+ (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* 2 (/ (* x (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (+ (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 1/2 (* x (+ (* -4 (/ (pow (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 2 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (- (sqrt -1) (/ 1 (sqrt -1)))))))) (* 2 (/ (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (+ (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 2 (/ (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 1/6 (* x (+ (* -12 (/ (* (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 16 (/ (pow (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 3) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)))))) (* 1/2 (+ (* -4 (/ (pow (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 2 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (- (sqrt -1) (/ 1 (sqrt -1))))))))))))))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))))))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ 1 (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))))))))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ 1 (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))))))
#s(approx (acosh x) #s(hole binary64 (log (sqrt -1))))
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole 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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) #s(hole binary64 (- 1 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
#s(approx (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
#s(approx (+ (* (pow (* x x) -1) 1/8) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (pow (* x x) -1) 1/8) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 (/ 1 (pow x 2))))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1/8 (/ (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1/8 (/ (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (+ (* 1/6 (/ (+ (* 1/4 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 3)) (* 3 (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))))) (pow x 3))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)))))))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 x))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3))))))))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (+ (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3))) (* 1/2 (/ (- (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 5)))))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))) (* 1/2 (/ (- (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 4)))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))) (+ (* 1/2 (/ (- (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 4))) (* 1/2 (/ (- (* -1/32 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 5/64 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 6))))))))
#s(approx (acosh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (acosh x) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (acosh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole 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 (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (- (* x x) 1)) #s(hole 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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x))))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/8 (/ (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2) x))) x))))))
#s(approx (log (+ (sinh (acosh x)) x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) (* -1/4 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 3))) x)) (* -1/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))) x)) (* -1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x))))))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x)) 1)))))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))) x)) 1)))))
#s(approx (+ (sinh (acosh x)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))) x)) 1)))))
#s(approx (sinh (acosh x)) #s(hole binary64 (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 5/64 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/32 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (acosh 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)))))))))
Outputs
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(+.f64 #s(approx (sqrt (- (* x x) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x)) x)
(+.f64 x #s(approx (sqrt (- (* x x) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x)))
x
#s(approx (sqrt (- (* x x) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x))
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#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 (-.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
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#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (/.f64 x (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (log.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))))
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#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))))
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#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 2 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/16 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) x))
#s(approx (sqrt (- (* x x) 1)) x)
#s(approx (sqrt (- (* x x) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (sqrt (- (* x x) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))
#s(approx (sqrt (- (* x x) 1)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/16 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) x))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) x)
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#s(approx (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
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#s(approx (+ (* (pow (* x x) -1) 1/8) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (pow (* x x) -1) 1/8) 1/2) (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
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#s(approx (+ x (sqrt (- (* x x) 1))) x)
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#s(approx (sqrt (- (* x x) 1)) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))) (pow.f64 (exp.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))) #s(literal -1 binary64))) (/.f64 (fma.f64 (exp.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))))) (*.f64 x x)))))
#s(approx (sqrt (- (* x x) 1)) (+.f64 (fma.f64 (/.f64 (fma.f64 (exp.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (exp.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 (exp.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))))) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (exp.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))) (pow.f64 (exp.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))))
#s(approx (sqrt (- (* x x) 1)) (+.f64 (fma.f64 (/.f64 (fma.f64 (exp.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))) #s(literal 5/64 binary64) (/.f64 #s(literal 1/32 binary64) (exp.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (exp.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (exp.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 (exp.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))))) (*.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (-.f64 (exp.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))) (pow.f64 (exp.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))) (log.f64 #s(literal -1/2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))) (log.f64 #s(literal -1/2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64))) (+.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 5/96 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))

eval25.0ms (1.7%)

Memory
19.8MiB live, 64.8MiB allocated; 5ms collecting garbage
Compiler

Compiled 6 887 to 1 034 computations (85% saved)

prune97.0ms (6.9%)

Memory
-39.5MiB live, 248.1MiB allocated; 28ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1860186
Fresh000
Picked022
Done000
Total1862188
Accuracy
100.0%
Counts
188 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(log.f64 (+.f64 (sinh.f64 (acosh.f64 x)) x))
✓99.8%
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))))
Compiler

Compiled 75 to 49 computations (34.7% saved)

regimes5.0ms (0.3%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Accuracy

Total -31.8b remaining (-22211.6%)

Threshold costs -31.8b (-22211.6%)

Counts
3 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 (sinh.f64 (acosh.f64 x)) x))
Outputs
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))))
Calls

3 calls:

1.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
1.0ms
x
1.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.8%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
99.8%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
99.8%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify38.0ms (2.7%)

Memory
-7.2MiB live, 85.2MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01727
12627
25327
313227
450327
5267327
Stop Event
1×node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))))
Outputs
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))))

derivations4.0ms (0.3%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 27 to 18 computations (33.3% saved)

preprocess15.0ms (1.1%)

Memory
-13.9MiB live, 31.8MiB allocated; 4ms collecting garbage
Compiler

Compiled 72 to 50 computations (30.6% saved)

end0.0ms (0%)

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

Profiling

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