Rust f64::acosh

Time bar (total: 1.4s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB 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)

sample530.0ms (37.1%)

Memory
55.0MiB live, 614.9MiB allocated; 78ms collecting garbage
Samples
345.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-acosh: 135.0ms (96.3% of total)
adjust: 2.0ms (1.4% of total)
ival-assert: 2.0ms (1.4% of total)
Bogosity

explain223.0ms (15.6%)

Memory
-23.2MiB live, 143.3MiB allocated; 160ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1240-0-(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-rescue1240
↳(-.f64 (*.f64 x x) #s(literal 1 binary64))overflow124
↳(*.f64 x x)overflow124
Confusion
Predicted +Predicted -
+1240
-0132
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12400
-00132
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0132
1124
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
142.0ms512×0valid
Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sub: 7.0ms (29.5% of total)
ival-log: 5.0ms (21.1% of total)
ival-mult: 4.0ms (16.8% of total)
ival-sqrt: 3.0ms (12.6% of total)
ival-add: 2.0ms (8.4% 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)

preprocess155.0ms (10.9%)

Memory
-27.8MiB live, 155.8MiB allocated; 24ms 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 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.1%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

series6.0ms (0.4%)

Memory
18.2MiB live, 18.2MiB allocated; 0ms 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
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)
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)

rewrite67.0ms (4.7%)

Memory
9.1MiB live, 50.0MiB allocated; 13ms 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 x x (-.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 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sinh.f64 (acosh.f64 x))
(sqrt.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 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 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal 3 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)))))
(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 (neg.f64 x) (neg.f64 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 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal -1/6 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) #s(literal 3/40 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)))) (*.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 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 #s(literal -1 binary64) #s(literal 3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64))))
#s(approx x x)
#s(approx (sqrt (- (* x x) 1)) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(approx (- (* x x) 1) (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 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 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) (/.f64 (fma.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 x x))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) (/.f64 (fma.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 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 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 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 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 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 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (sqrt (- (* x x) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 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 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 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 x #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1/2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (fma.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 (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 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 (+ x (sqrt (- (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x)))
#s(approx (sqrt (- (* x x) 1)) (neg.f64 x))
#s(approx (sqrt (- (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- (* x x) 1)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 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 (neg.f64 x) (-.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))))

eval8.0ms (0.5%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 186 to 314 computations (73.5% saved)

prune3.0ms (0.2%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New65368
Fresh000
Picked011
Done000
Total65469
Accuracy
100.0%
Counts
69 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.1%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
▶98.9%
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x)))
▶99.7%
(acosh.f64 x)
▶99.4%
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) (/.f64 (fma.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
Compiler

Compiled 56 to 43 computations (23.2% saved)

series80.0ms (5.6%)

Memory
-19.3MiB live, 80.5MiB allocated; 22ms collecting garbage
Counts
24 → 96
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) (/.f64 (fma.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) (/.f64 (fma.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) (/.f64 (fma.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 2 binary64)))
#s(literal -1 binary64)
(+.f64 (neg.f64 (log.f64 x)) (/.f64 (fma.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (log.f64 x))
(log.f64 x)
x
(/.f64 (fma.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64))
#s(literal 5/96 binary64)
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 3/32 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(acosh.f64 x)
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x)))
(+.f64 x #s(approx (sqrt (- (* x x) 1)) x))
#s(approx (sqrt (- (* x x) 1)) 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 (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (/ -5/96 (pow x 6))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (/ (- (* (pow x 2) (- (* -1/4 (pow x 2)) 3/32)) 5/96) (pow x 6))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32)) 5/96) (pow x 6))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (/ -5/96 (pow x 6))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (/ (- (* (pow x 2) (- (* (pow x 4) (+ (log 2) (log x))) 3/32)) 5/96) (pow x 6))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (/ 5/96 (pow x 6))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (/ (+ 5/96 (* (pow x 2) (+ 3/32 (* -1 (* (pow x 4) (log x)))))) (pow x 6))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ 5/96 (pow x 6))))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6))))
#s(approx (+ (* 5/96 (pow x -2)) 3/32) #s(hole binary64 (/ 5/96 (pow x 2))))
#s(approx (+ (* 5/96 (pow x -2)) 3/32) #s(hole binary64 (/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (pow x -2) 1/4) #s(hole binary64 (/ 1/4 (pow x 2))))
#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 (+ 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 (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 (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 (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 3/32 (/ 1 (pow x 4))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (log (/ 1 x))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (* 3/32 (/ 1 (pow x 4))) (* -1 (log (/ 1 x))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (+ (/ 5/96 (pow x 6)) (* 3/32 (/ 1 (pow x 4)))) (* -1 (log (/ 1 x))))))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ 3/32 (pow x 4))))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))
#s(approx (+ (* 5/96 (pow x -2)) 3/32) #s(hole binary64 3/32))
#s(approx (+ (* 5/96 (pow x -2)) 3/32) #s(hole binary64 (+ 3/32 (* 5/96 (/ 1 (pow x 2))))))
#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 (+ 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 (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 (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (- (+ (log -1) (+ (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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 3/32 (/ 1 (pow x 4))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (* 3/32 (/ 1 (pow x 4))) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (+ (/ 5/96 (pow x 6)) (* 3/32 (/ 1 (pow x 4)))) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#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)))))))))
#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
42.0ms
x
@-inf
((log (+ x (sqrt (- (* x x) 1)))) (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (neg (log x)) (log x) x (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (+ (* 5/96 (pow x -2)) 3/32) 5/96 (pow x -2) -2 3/32 (pow x 4) 4 (log 2) 2 (* (pow x -2) 1/4) 1/4 (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))
27.0ms
x
@0
((log (+ x (sqrt (- (* x x) 1)))) (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (neg (log x)) (log x) x (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (+ (* 5/96 (pow x -2)) 3/32) 5/96 (pow x -2) -2 3/32 (pow x 4) 4 (log 2) 2 (* (pow x -2) 1/4) 1/4 (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))
9.0ms
x
@inf
((log (+ x (sqrt (- (* x x) 1)))) (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (neg (log x)) (log x) x (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (+ (* 5/96 (pow x -2)) 3/32) 5/96 (pow x -2) -2 3/32 (pow x 4) 4 (log 2) 2 (* (pow x -2) 1/4) 1/4 (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))

rewrite74.0ms (5.2%)

Memory
17.5MiB live, 63.8MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03382660
03612264
018912214
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
120 → 172
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) (/.f64 (fma.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) (/.f64 (fma.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) (/.f64 (fma.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 2 binary64)))
#s(literal -1 binary64)
(+.f64 (neg.f64 (log.f64 x)) (/.f64 (fma.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (log.f64 x))
(log.f64 x)
x
(/.f64 (fma.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64))
#s(literal 5/96 binary64)
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 3/32 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(acosh.f64 x)
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x)))
(+.f64 x #s(approx (sqrt (- (* x x) 1)) x))
#s(approx (sqrt (- (* x x) 1)) 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 (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (/ -5/96 (pow x 6))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (/ (- (* (pow x 2) (- (* -1/4 (pow x 2)) 3/32)) 5/96) (pow x 6))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32)) 5/96) (pow x 6))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (/ -5/96 (pow x 6))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (/ (- (* (pow x 2) (- (* (pow x 4) (+ (log 2) (log x))) 3/32)) 5/96) (pow x 6))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (/ 5/96 (pow x 6))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (/ (+ 5/96 (* (pow x 2) (+ 3/32 (* -1 (* (pow x 4) (log x)))))) (pow x 6))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ 5/96 (pow x 6))))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6))))
#s(approx (+ (* 5/96 (pow x -2)) 3/32) #s(hole binary64 (/ 5/96 (pow x 2))))
#s(approx (+ (* 5/96 (pow x -2)) 3/32) #s(hole binary64 (/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (pow x -2) 1/4) #s(hole binary64 (/ 1/4 (pow x 2))))
#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 (+ 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 (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 (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 (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 3/32 (/ 1 (pow x 4))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (log (/ 1 x))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (* 3/32 (/ 1 (pow x 4))) (* -1 (log (/ 1 x))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (+ (/ 5/96 (pow x 6)) (* 3/32 (/ 1 (pow x 4)))) (* -1 (log (/ 1 x))))))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ 3/32 (pow x 4))))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))
#s(approx (+ (* 5/96 (pow x -2)) 3/32) #s(hole binary64 3/32))
#s(approx (+ (* 5/96 (pow x -2)) 3/32) #s(hole binary64 (+ 3/32 (* 5/96 (/ 1 (pow x 2))))))
#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 (+ 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 (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 (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (- (+ (log -1) (+ (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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 3/32 (/ 1 (pow x 4))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (* 3/32 (/ 1 (pow x 4))) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (+ (/ 5/96 (pow x 6)) (* 3/32 (/ 1 (pow x 4)))) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#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)))))))))
#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
#s(approx (acosh x) (-.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))))
(fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(fma.f64 #s(literal -1 binary64) (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(-.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(+.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(+.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #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 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (-.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))))) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))) (log.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))))))))
(fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 2 binary64)))
(+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))) (log.f64 #s(literal 2 binary64)))
#s(literal -1 binary64)
(/.f64 (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (neg.f64 (log.f64 x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)) (-.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 (log.f64 x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (log.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 x))
(neg.f64 (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 x))
(log.f64 (pow.f64 x #s(literal -1 binary64)))
(log.f64 x)
x
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal -4 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64)) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64))) #s(literal 9/1024 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64)) #s(literal 3/32 binary64)))
(/.f64 (-.f64 #s(literal 9/1024 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64)))) (-.f64 #s(literal 3/32 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64)) #s(literal 3 binary64)) #s(literal 27/32768 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64)) (-.f64 #s(literal 9/1024 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64)) #s(literal 3/32 binary64)))))
(/.f64 (+.f64 #s(literal 27/32768 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 9/1024 binary64) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64))) (*.f64 #s(literal 3/32 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64))))))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64))
(fma.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64))
(-.f64 #s(literal 3/32 binary64) (*.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal -2 binary64))))
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(+.f64 #s(literal 3/32 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64)))
#s(literal 5/96 binary64)
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
#s(literal -2 binary64)
#s(literal 3/32 binary64)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
#s(literal 4 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
#s(literal 1/4 binary64)
(acosh.f64 x)
(log.f64 (+.f64 (sinh.f64 (acosh.f64 x)) x))
(log.f64 (+.f64 #s(approx (sqrt (- (* x x) 1)) x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(approx (sqrt (- (* x x) 1)) x) #s(approx (sqrt (- (* x x) 1)) x))) (-.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))) (fma.f64 x x (-.f64 (*.f64 #s(approx (sqrt (- (* x x) 1)) x) #s(approx (sqrt (- (* x x) 1)) x)) (*.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))
#s(approx (sqrt (- (* x x) 1)) x)
#s(approx (acosh x) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (acosh x) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (acosh x) (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal -1/6 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (acosh x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) #s(literal 3/40 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)))) (*.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))))
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#s(approx (sqrt (- (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (sqrt (- (* x x) 1)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))

eval21.0ms (1.5%)

Memory
-15.5MiB live, 30.7MiB allocated; 3ms collecting garbage
Compiler

Compiled 6 442 to 797 computations (87.6% saved)

prune5.0ms (0.4%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1761177
Fresh000
Picked123
Done011
Total1774181
Accuracy
100.0%
Counts
181 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.1%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓98.9%
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x)))
✓99.7%
(acosh.f64 x)
▶99.3%
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
Compiler

Compiled 63 to 51 computations (19% saved)

series29.0ms (2%)

Memory
-6.6MiB live, 40.2MiB allocated; 3ms collecting garbage
Counts
19 → 57
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (log.f64 #s(literal 2 binary64)))
#s(literal -1 binary64)
(+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))))
(neg.f64 (log.f64 x))
(log.f64 x)
x
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))
(*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))
(pow.f64 x #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 3/32 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1/4 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 (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (/ -5/96 (pow x 6))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (/ (- (* (pow x 2) (- (* -1/4 (pow x 2)) 3/32)) 5/96) (pow x 6))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32)) 5/96) (pow x 6))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (/ -5/96 (pow x 6))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (/ (- (* (pow x 2) (- (* (pow x 4) (+ (log 2) (log x))) 3/32)) 5/96) (pow x 6))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (/ 5/96 (pow x 6))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (/ (+ 5/96 (* (pow x 2) (+ 3/32 (* -1 (* (pow x 4) (log x)))))) (pow x 6))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ 5/96 (pow x 6))))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6))))
#s(approx (* (pow x -4) 3/32) #s(hole binary64 (/ 3/32 (pow x 4))))
#s(approx (pow x -4) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (* (pow x -2) 1/4) #s(hole binary64 (/ 1/4 (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (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 (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 3/32 (/ 1 (pow x 4))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (log (/ 1 x))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (* 3/32 (/ 1 (pow x 4))) (* -1 (log (/ 1 x))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (+ (/ 5/96 (pow x 6)) (* 3/32 (/ 1 (pow x 4)))) (* -1 (log (/ 1 x))))))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ 3/32 (pow x 4))))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))
#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 (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (- (+ (log -1) (+ (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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 3/32 (/ 1 (pow x 4))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (* 3/32 (/ 1 (pow x 4))) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (+ (/ 5/96 (pow x 6)) (* 3/32 (/ 1 (pow x 4)))) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
Calls

3 calls:

TimeVariablePointExpression
10.0ms
x
@0
((log (+ x (sqrt (- (* x x) 1)))) (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (neg (log x)) (log x) x (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (* (pow x -4) 3/32) (pow x -4) -4 3/32 (log 2) 2 (* (pow x -2) 1/4) (pow x -2) -2 1/4)
9.0ms
x
@inf
((log (+ x (sqrt (- (* x x) 1)))) (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (neg (log x)) (log x) x (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (* (pow x -4) 3/32) (pow x -4) -4 3/32 (log 2) 2 (* (pow x -2) 1/4) (pow x -2) -2 1/4)
9.0ms
x
@-inf
((log (+ x (sqrt (- (* x x) 1)))) (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (neg (log x)) (log x) x (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (* (pow x -4) 3/32) (pow x -4) -4 3/32 (log 2) 2 (* (pow x -2) 1/4) (pow x -2) -2 1/4)

rewrite64.0ms (4.4%)

Memory
2.2MiB live, 50.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02251859
02411625
013721560
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
76 → 112
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (log.f64 #s(literal 2 binary64)))
#s(literal -1 binary64)
(+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))))
(neg.f64 (log.f64 x))
(log.f64 x)
x
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))
(*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))
(pow.f64 x #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 3/32 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1/4 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 (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (/ -5/96 (pow x 6))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (/ (- (* (pow x 2) (- (* -1/4 (pow x 2)) 3/32)) 5/96) (pow x 6))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32)) 5/96) (pow x 6))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (/ -5/96 (pow x 6))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (/ (- (* (pow x 2) (- (* (pow x 4) (+ (log 2) (log x))) 3/32)) 5/96) (pow x 6))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (/ 5/96 (pow x 6))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (/ (+ 5/96 (* (pow x 2) (+ 3/32 (* -1 (* (pow x 4) (log x)))))) (pow x 6))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ 5/96 (pow x 6))))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6))))
#s(approx (* (pow x -4) 3/32) #s(hole binary64 (/ 3/32 (pow x 4))))
#s(approx (pow x -4) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (* (pow x -2) 1/4) #s(hole binary64 (/ 1/4 (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (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 (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 3/32 (/ 1 (pow x 4))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (log (/ 1 x))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (* 3/32 (/ 1 (pow x 4))) (* -1 (log (/ 1 x))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (+ (/ 5/96 (pow x 6)) (* 3/32 (/ 1 (pow x 4)))) (* -1 (log (/ 1 x))))))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ 3/32 (pow x 4))))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))
#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 (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) #s(hole binary64 (- (+ (log -1) (+ (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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 3/32 (/ 1 (pow x 4))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (* 3/32 (/ 1 (pow x 4))) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (+ (/ 5/96 (pow x 6)) (* 3/32 (/ 1 (pow x 4)))) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))) (+.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 #s(literal -1 binary64) (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))))) (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))))) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (-.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))))) (log.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))))) (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))))) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))))) (log.f64 #s(literal 2 binary64))))))
(fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (log.f64 #s(literal 2 binary64)))
(+.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))))))
#s(literal -1 binary64)
(/.f64 (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))))) (-.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)) (-.f64 (*.f64 #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (*.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))))))
(fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))))
(fma.f64 #s(literal -1 binary64) (log.f64 x) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))))
(+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))))
(+.f64 #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))) (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 x))
(neg.f64 (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 x))
(log.f64 (pow.f64 x #s(literal -1 binary64)))
(log.f64 x)
x
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))
(*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))
(*.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal -4 binary64)))
(/.f64 #s(literal -3/32 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -4 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -4 binary64)))
#s(literal -4 binary64)
#s(literal 3/32 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
#s(literal -2 binary64)
#s(literal 1/4 binary64)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal -1/6 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) #s(literal 3/40 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)))) (*.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) (/.f64 (-.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 x x)) #s(literal 5/96 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 5/96 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 5/96 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/.f64 (-.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 x x)) #s(literal 5/96 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 5/96 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 3/32 binary64) #s(literal 5/96 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 x) #s(literal 3/32 binary64)) (*.f64 x x) #s(literal 5/96 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (neg (log x)) (neg.f64 (log.f64 x)))
#s(approx (log x) (log.f64 x))
#s(approx x x)
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 3/32 binary64) #s(literal 5/96 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (pow x -4) 3/32) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))
#s(approx (pow x -4) (pow.f64 x #s(literal -4 binary64)))
#s(approx (* (pow x -2) 1/4) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))
#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#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 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 #s(literal -1 binary64) (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 x x))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) (-.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) (fma.f64 #s(literal -1 binary64) (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 x x))) (log.f64 #s(literal 2 binary64))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) (-.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (-.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (neg.f64 (log.f64 x)))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (-.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)) (neg.f64 (neg.f64 (log.f64 x)))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))
#s(approx (neg (log x)) (neg.f64 (log.f64 x)))
#s(approx (log x) (neg.f64 (neg.f64 (log.f64 x))))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1/2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal -1 binary64))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) (-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) (+.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 x x))) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal -1 binary64))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (* (pow x -2) 1/4)) (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal -1 binary64))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (+.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal -1 binary64))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (-.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))
#s(approx (neg (log x)) (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (log x) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))

eval12.0ms (0.9%)

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

Compiled 5 283 to 527 computations (90% saved)

prune5.0ms (0.4%)

Memory
-39.2MiB live, 6.9MiB allocated; 4ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1131114
Fresh000
Picked101
Done033
Total1144118
Accuracy
100.0%
Counts
118 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.1%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓98.9%
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x)))
✓99.7%
(acosh.f64 x)
▶99.3%
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
Compiler

Compiled 63 to 50 computations (20.6% saved)

series28.0ms (2%)

Memory
36.0MiB live, 36.0MiB allocated; 0ms collecting garbage
Counts
18 → 57
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (log.f64 #s(literal 2 binary64)))
#s(literal -1 binary64)
(+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))))
(neg.f64 (log.f64 x))
(log.f64 x)
x
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))
(*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))
(pow.f64 x #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 3/32 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
#s(literal 1/4 binary64)
(*.f64 x 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 (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (/ -5/96 (pow x 6))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (/ (- (* (pow x 2) (- (* -1/4 (pow x 2)) 3/32)) 5/96) (pow x 6))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32)) 5/96) (pow x 6))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (/ -5/96 (pow x 6))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (/ (- (* (pow x 2) (- (* (pow x 4) (+ (log 2) (log x))) 3/32)) 5/96) (pow x 6))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (/ 5/96 (pow x 6))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (/ (+ 5/96 (* (pow x 2) (+ 3/32 (* -1 (* (pow x 4) (log x)))))) (pow x 6))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ 5/96 (pow x 6))))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6))))
#s(approx (* (pow x -4) 3/32) #s(hole binary64 (/ 3/32 (pow x 4))))
#s(approx (pow x -4) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (/ 1/4 (* x x)) #s(hole binary64 (/ 1/4 (pow x 2))))
#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 (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x 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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 3/32 (/ 1 (pow x 4))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (log (/ 1 x))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (* 3/32 (/ 1 (pow x 4))) (* -1 (log (/ 1 x))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (+ (/ 5/96 (pow x 6)) (* 3/32 (/ 1 (pow x 4)))) (* -1 (log (/ 1 x))))))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ 3/32 (pow x 4))))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))
#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 (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (- (+ (log -1) (+ (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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 3/32 (/ 1 (pow x 4))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (* 3/32 (/ 1 (pow x 4))) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (+ (/ 5/96 (pow x 6)) (* 3/32 (/ 1 (pow x 4)))) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((log (+ x (sqrt (- (* x x) 1)))) (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (neg (log x)) (log x) x (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (* (pow x -4) 3/32) (pow x -4) -4 3/32 (log 2) 2 (/ 1/4 (* x x)) 1/4 (* x x))
9.0ms
x
@inf
((log (+ x (sqrt (- (* x x) 1)))) (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (neg (log x)) (log x) x (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (* (pow x -4) 3/32) (pow x -4) -4 3/32 (log 2) 2 (/ 1/4 (* x x)) 1/4 (* x x))
8.0ms
x
@0
((log (+ x (sqrt (- (* x x) 1)))) (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (neg (log x)) (log x) x (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (* (pow x -4) 3/32) (pow x -4) -4 3/32 (log 2) 2 (/ 1/4 (* x x)) 1/4 (* x x))

rewrite59.0ms (4.1%)

Memory
-15.4MiB live, 31.3MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02251856
02401624
013561559
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
75 → 111
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (log.f64 #s(literal 2 binary64)))
#s(literal -1 binary64)
(+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))))
(neg.f64 (log.f64 x))
(log.f64 x)
x
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))
(*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64))
(pow.f64 x #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 3/32 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
#s(literal 1/4 binary64)
(*.f64 x 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 (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (/ -5/96 (pow x 6))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (/ (- (* (pow x 2) (- (* -1/4 (pow x 2)) 3/32)) 5/96) (pow x 6))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32)) 5/96) (pow x 6))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (/ -5/96 (pow x 6))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (/ (- (* (pow x 2) (- (* (pow x 4) (+ (log 2) (log x))) 3/32)) 5/96) (pow x 6))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (/ 5/96 (pow x 6))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (/ (+ 5/96 (* (pow x 2) (+ 3/32 (* -1 (* (pow x 4) (log x)))))) (pow x 6))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ 5/96 (pow x 6))))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6))))
#s(approx (* (pow x -4) 3/32) #s(hole binary64 (/ 3/32 (pow x 4))))
#s(approx (pow x -4) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (/ 1/4 (* x x)) #s(hole binary64 (/ 1/4 (pow x 2))))
#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 (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x 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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 3/32 (/ 1 (pow x 4))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (log (/ 1 x))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (* 3/32 (/ 1 (pow x 4))) (* -1 (log (/ 1 x))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (+ (/ 5/96 (pow x 6)) (* 3/32 (/ 1 (pow x 4)))) (* -1 (log (/ 1 x))))))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ 3/32 (pow x 4))))
#s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) #s(hole binary64 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))
#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 (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (- (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) (/ 1/4 (* x x))) #s(hole binary64 (- (+ (log -1) (+ (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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 3/32 (/ 1 (pow x 4))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)))) (log 2)) #s(hole binary64 (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (* 3/32 (/ 1 (pow x 4))) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) #s(hole binary64 (- (+ (/ 5/96 (pow x 6)) (* 3/32 (/ 1 (pow x 4)))) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))))
(fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(fma.f64 #s(literal -1 binary64) (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(-.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))
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#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (-.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (+ (neg (log x)) (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))
#s(approx (neg (log x)) (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (log x) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))

eval12.0ms (0.9%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 5 322 to 534 computations (90% saved)

prune6.0ms (0.4%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1150115
Fresh000
Picked011
Done033
Total1154119
Accuracy
100.0%
Counts
119 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.1%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓98.9%
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x)))
✓99.7%
(acosh.f64 x)
✓99.3%
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
Compiler

Compiled 201 to 106 computations (47.3% saved)

regimes14.0ms (1%)

Memory
-37.1MiB live, 9.5MiB allocated; 2ms collecting garbage
Accuracy

Total -30.5b remaining (-15032.2%)

Threshold costs -30.5b (-15032.2%)

Counts
6 → 1
Calls
Call 1
Inputs
(acosh.f64 x)
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x)))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) #s(approx (/ (+ (* 5/96 (pow x -2)) 3/32) (pow x 4)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/32 binary64)))) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) (/.f64 (fma.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
Outputs
(acosh.f64 x)
Calls

3 calls:

3.0ms
x
2.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
2.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.7%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
99.7%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
99.7%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify9.0ms (0.6%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022
Stop Event
1×saturated
Calls
Call 1
Inputs
(acosh.f64 x)
Outputs
(acosh.f64 x)

derivations3.0ms (0.2%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 2 to 2 computations (0% saved)

preprocess16.0ms (1.1%)

Memory
21.3MiB live, 21.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 46 to 36 computations (21.7% saved)

end0.0ms (0%)

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

Profiling

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