Hyperbolic arc-(co)secant

Time bar (total: 2.7s)

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.1s (39.9%)

Memory
23.0MiB live, 1 359.6MiB allocated; 321ms collecting garbage
Samples
770.0ms8 256×0valid
1.0ms14×0invalid
Precisions
Click to see histograms. Total time spent on operations: 534.0ms
ival-div: 147.0ms (27.5% of total)
ival-log: 123.0ms (23% of total)
ival-sub: 79.0ms (14.8% of total)
ival-mult: 67.0ms (12.5% of total)
ival-sqrt: 64.0ms (12% of total)
ival-add: 41.0ms (7.7% of total)
exact: 8.0ms (1.5% of total)
adjust: 3.0ms (0.6% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain133.0ms (5%)

Memory
3.9MiB live, 239.9MiB allocated; 24ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
00-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-(*.f64 x x)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 x x))
00-0-(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
00-0-x
00-0-(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))oflow-rescue10
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))overflow1
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
45.0ms512×0valid
Compiler

Compiled 121 to 31 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-div: 10.0ms (33.9% of total)
ival-log: 6.0ms (20.3% of total)
ival-mult: 4.0ms (13.6% of total)
ival-sqrt: 4.0ms (13.6% of total)
ival-sub: 3.0ms (10.2% of total)
ival-add: 2.0ms (6.8% 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)

preprocess228.0ms (8.5%)

Memory
26.7MiB live, 212.2MiB allocated; 57ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01836
14536
28136
312636
426036
594236
6365036
0913
01611
12711
25311
39711
418911
567511
6688611
0833511
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Outputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x))
Compiler

Compiled 13 to 9 computations (30.8% 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
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

series43.0ms (1.6%)

Memory
-35.4MiB live, 9.8MiB allocated; 3ms collecting garbage
Counts
9 → 55
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 1))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (sqrt -1)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
Calls

3 calls:

TimeVariablePointExpression
37.0ms
x
@-inf
((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 1 x) 1 x (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (- 1 (* x x)) (* x x))
3.0ms
x
@inf
((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 1 x) 1 x (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (- 1 (* x x)) (* x x))
2.0ms
x
@0
((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 1 x) 1 x (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (- 1 (* x x)) (* x x))

rewrite64.0ms (2.4%)

Memory
39.6MiB live, 39.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02281429
02401103
012811079
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
64 → 84
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 1))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (sqrt -1)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
Outputs
(log.f64 (+.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 (tan.f64 (acos.f64 x)) (tan.f64 (acos.f64 x)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 (tan.f64 (acos.f64 x)) (tan.f64 (acos.f64 x))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (acos.f64 x))) x)
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 x (sin.f64 (acos.f64 x)))) (*.f64 x x))
(+.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (neg.f64 (sin.f64 (acos.f64 x))) (neg.f64 x))
(/.f64 (sin.f64 (acos.f64 x)) x)
(tan.f64 (acos.f64 x))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(sin.f64 (acos.f64 x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(cos.f64 (asin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(*.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(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (-.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (/ 1 x) (pow.f64 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (/ (sqrt (- 1 (* x x))) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* x x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- 1 (* x x)) #s(literal 1 binary64))
#s(approx (- 1 (* x x)) (fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 5 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (/ (sqrt (- 1 (* x x))) x) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) x))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) x))
#s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x)))
#s(approx (- 1 (* x x)) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) x) #s(literal -1 binary64) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) x) #s(literal -1 binary64) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64)))))))
#s(approx (sqrt (- 1 (* x x))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
#s(approx (sqrt (- 1 (* x x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)))
#s(approx (sqrt (- 1 (* x x))) (neg.f64 (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) x)))
#s(approx (sqrt (- 1 (* x x))) (neg.f64 (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) x)))

eval15.0ms (0.6%)

Memory
-27.2MiB live, 16.7MiB allocated; 6ms collecting garbage
Compiler

Compiled 1 986 to 429 computations (78.4% saved)

prune7.0ms (0.3%)

Memory
11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New83891
Fresh000
Picked011
Done000
Total83992
Accuracy
100.0%
Counts
92 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
15.6%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x)))) x)))
99.6%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
99.5%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
99.0%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
0.0%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
99.1%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))))
99.7%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
99.5%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
Compiler

Compiled 379 to 263 computations (30.6% saved)

series116.0ms (4.3%)

Memory
-7.1MiB live, 129.4MiB allocated; 25ms collecting garbage
Counts
37 → 114
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
(+.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (neg.f64 (log.f64 x)))
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 x x))
(-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64))
(*.f64 #s(literal -5/96 binary64) (*.f64 x x))
#s(literal -5/96 binary64)
(*.f64 x x)
x
#s(literal 3/32 binary64)
#s(literal 1/4 binary64)
(neg.f64 (log.f64 x))
(log.f64 x)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal -1/2 binary64)
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x)))) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x)))) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x)))) x)
(sqrt.f64 #s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x))))
#s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x)))
(neg.f64 (*.f64 x x))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
(+.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x)))
#s(literal -1/4 binary64)
Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* -1/4 (pow x 2))) (log x))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))) (log x))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))) (log x))))
#s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) #s(hole binary64 (* -1 (log x))))
#s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) #s(hole binary64 (- (* -1/4 (pow x 2)) (log x))))
#s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) #s(hole binary64 (- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (log x))))
#s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (log x))))
#s(approx (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) #s(hole binary64 (- (* -3/32 (pow x 2)) 1/4)))
#s(approx (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) #s(hole binary64 (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))
#s(approx (* (- (* -5/96 (* x x)) 3/32) (* x x)) #s(hole binary64 (* -3/32 (pow x 2))))
#s(approx (* (- (* -5/96 (* x x)) 3/32) (* x x)) #s(hole binary64 (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32))))
#s(approx (- (* -5/96 (* x x)) 3/32) #s(hole binary64 -3/32))
#s(approx (- (* -5/96 (* x x)) 3/32) #s(hole binary64 (- (* -5/96 (pow x 2)) 3/32)))
#s(approx (* -5/96 (* x x)) #s(hole binary64 (* -5/96 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 1))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (neg (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* -1/4 (pow x 2))) (log x))))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) #s(hole binary64 (* -1 (log x))))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) #s(hole binary64 (- (* -1/4 (pow x 2)) (log x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* -5/96 (pow x 6))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* -1 (* (pow x 6) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 3/32 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/96))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 6) (- (/ (log 2) (pow x 6)) (+ 5/96 (+ (* -1 (/ (log (/ 1 x)) (pow x 6))) (+ (/ 1/4 (pow x 4)) (* 3/32 (/ 1 (pow x 2))))))))))
#s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) #s(hole binary64 (* -5/96 (pow x 6))))
#s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) #s(hole binary64 (* -1 (* (pow x 6) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 3/32 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/96))))
#s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) #s(hole binary64 (* (pow x 6) (- (/ (log (/ 1 x)) (pow x 6)) (+ 5/96 (+ (/ 1/4 (pow x 4)) (* 3/32 (/ 1 (pow x 2)))))))))
#s(approx (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) #s(hole binary64 (* -5/96 (pow x 4))))
#s(approx (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) #s(hole binary64 (* -1 (* (pow x 4) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 3/32 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/96))))
#s(approx (* (- (* -5/96 (* x x)) 3/32) (* x x)) #s(hole binary64 (* -5/96 (pow x 4))))
#s(approx (* (- (* -5/96 (* x x)) 3/32) (* x x)) #s(hole binary64 (* -1 (* (pow x 4) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (- (* -5/96 (* x x)) 3/32) #s(hole binary64 (* -5/96 (pow x 2))))
#s(approx (- (* -5/96 (* x x)) 3/32) #s(hole binary64 (* -1 (* (pow x 2) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (sqrt -1)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (* -1 (/ (log (/ 1 x)) (pow x 2))))))))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) #s(hole binary64 (* (pow x 2) (- (/ (log (/ 1 x)) (pow x 2)) 1/4))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 6) (- (/ (log 2) (pow x 6)) (+ 5/96 (+ (* -1 (/ (log (/ -1 x)) (pow x 6))) (+ (/ 1/4 (pow x 4)) (+ (* 3/32 (/ 1 (pow x 2))) (/ (log -1) (pow x 6))))))))))
#s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow x 6))) (+ 5/96 (+ (/ 1/4 (pow x 4)) (* 3/32 (/ 1 (pow x 2)))))))))
#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 (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (+ (* -1 (/ (log (/ -1 x)) (pow x 2))) (/ (log -1) (pow x 2))))))))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow x 2))) 1/4))))
Calls

3 calls:

TimeVariablePointExpression
74.0ms
x
@0
((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* (- (* -5/96 (* x x)) 3/32) (* x x)) (- (* -5/96 (* x x)) 3/32) (* -5/96 (* x x)) -5/96 (* x x) x 3/32 1/4 (neg (log x)) (log x) (log 2) 2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) -1 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (+ (* -1/2 (* x x)) 2) -1/2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 1 x) 1 (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (- 1 (* x x)) (neg (* x x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (+ (* (* x x) -1/4) (neg (log x))) -1/4)
21.0ms
x
@inf
((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* (- (* -5/96 (* x x)) 3/32) (* x x)) (- (* -5/96 (* x x)) 3/32) (* -5/96 (* x x)) -5/96 (* x x) x 3/32 1/4 (neg (log x)) (log x) (log 2) 2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) -1 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (+ (* -1/2 (* x x)) 2) -1/2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 1 x) 1 (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (- 1 (* x x)) (neg (* x x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (+ (* (* x x) -1/4) (neg (log x))) -1/4)
18.0ms
x
@-inf
((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* (- (* -5/96 (* x x)) 3/32) (* x x)) (- (* -5/96 (* x x)) 3/32) (* -5/96 (* x x)) -5/96 (* x x) x 3/32 1/4 (neg (log x)) (log x) (log 2) 2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) -1 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (+ (* -1/2 (* x x)) 2) -1/2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 1 x) 1 (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (- 1 (* x x)) (neg (* x x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (+ (* (* x x) -1/4) (neg (log x))) -1/4)

rewrite98.0ms (3.6%)

Memory
2.8MiB live, 146.7MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04113192
04582777
022442740
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
151 → 236
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
(+.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (neg.f64 (log.f64 x)))
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 x x))
(-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64))
(*.f64 #s(literal -5/96 binary64) (*.f64 x x))
#s(literal -5/96 binary64)
(*.f64 x x)
x
#s(literal 3/32 binary64)
#s(literal 1/4 binary64)
(neg.f64 (log.f64 x))
(log.f64 x)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal -1/2 binary64)
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x)))) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x)))) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x)))) x)
(sqrt.f64 #s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x))))
#s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x)))
(neg.f64 (*.f64 x x))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
(+.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x)))
#s(literal -1/4 binary64)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* -1/4 (pow x 2))) (log x))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))) (log x))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))) (log x))))
#s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) #s(hole binary64 (* -1 (log x))))
#s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) #s(hole binary64 (- (* -1/4 (pow x 2)) (log x))))
#s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) #s(hole binary64 (- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (log x))))
#s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (log x))))
#s(approx (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) #s(hole binary64 (- (* -3/32 (pow x 2)) 1/4)))
#s(approx (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) #s(hole binary64 (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))
#s(approx (* (- (* -5/96 (* x x)) 3/32) (* x x)) #s(hole binary64 (* -3/32 (pow x 2))))
#s(approx (* (- (* -5/96 (* x x)) 3/32) (* x x)) #s(hole binary64 (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32))))
#s(approx (- (* -5/96 (* x x)) 3/32) #s(hole binary64 -3/32))
#s(approx (- (* -5/96 (* x x)) 3/32) #s(hole binary64 (- (* -5/96 (pow x 2)) 3/32)))
#s(approx (* -5/96 (* x x)) #s(hole binary64 (* -5/96 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 1))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (neg (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* -1/4 (pow x 2))) (log x))))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) #s(hole binary64 (* -1 (log x))))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) #s(hole binary64 (- (* -1/4 (pow x 2)) (log x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* -5/96 (pow x 6))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* -1 (* (pow x 6) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 3/32 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/96))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 6) (- (/ (log 2) (pow x 6)) (+ 5/96 (+ (* -1 (/ (log (/ 1 x)) (pow x 6))) (+ (/ 1/4 (pow x 4)) (* 3/32 (/ 1 (pow x 2))))))))))
#s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) #s(hole binary64 (* -5/96 (pow x 6))))
#s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) #s(hole binary64 (* -1 (* (pow x 6) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 3/32 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/96))))
#s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) #s(hole binary64 (* (pow x 6) (- (/ (log (/ 1 x)) (pow x 6)) (+ 5/96 (+ (/ 1/4 (pow x 4)) (* 3/32 (/ 1 (pow x 2)))))))))
#s(approx (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) #s(hole binary64 (* -5/96 (pow x 4))))
#s(approx (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) #s(hole binary64 (* -1 (* (pow x 4) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 3/32 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/96))))
#s(approx (* (- (* -5/96 (* x x)) 3/32) (* x x)) #s(hole binary64 (* -5/96 (pow x 4))))
#s(approx (* (- (* -5/96 (* x x)) 3/32) (* x x)) #s(hole binary64 (* -1 (* (pow x 4) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (- (* -5/96 (* x x)) 3/32) #s(hole binary64 (* -5/96 (pow x 2))))
#s(approx (- (* -5/96 (* x x)) 3/32) #s(hole binary64 (* -1 (* (pow x 2) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (sqrt -1)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (* -1 (/ (log (/ 1 x)) (pow x 2))))))))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) #s(hole binary64 (* (pow x 2) (- (/ (log (/ 1 x)) (pow x 2)) 1/4))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 6) (- (/ (log 2) (pow x 6)) (+ 5/96 (+ (* -1 (/ (log (/ -1 x)) (pow x 6))) (+ (/ 1/4 (pow x 4)) (+ (* 3/32 (/ 1 (pow x 2))) (/ (log -1) (pow x 6))))))))))
#s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow x 6))) (+ 5/96 (+ (/ 1/4 (pow x 4)) (* 3/32 (/ 1 (pow x 2)))))))))
#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 (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (+ (* -1 (/ (log (/ -1 x)) (pow x 2))) (/ (log -1) (pow x 2))))))))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow x 2))) 1/4))))
Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))))
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#s(approx (/ (sqrt (- 1 (* x x))) x) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) x))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) x))
#s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x))
#s(approx (- 1 (* x x)) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/4 binary64))) (*.f64 x x)))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) (*.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) x) #s(literal -1 binary64) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) x) #s(literal -1 binary64) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 5/96 binary64)) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 5/96 binary64))) (pow.f64 x #s(literal 6 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))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64)))))))
#s(approx (sqrt (- 1 (* x x))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
#s(approx (sqrt (- 1 (* x x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)))
#s(approx (sqrt (- 1 (* x x))) (neg.f64 (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) x)))
#s(approx (sqrt (- 1 (* x x))) (neg.f64 (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) x)))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (*.f64 x x)) #s(literal 1/4 binary64))) (*.f64 x x)))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 x x)))

eval34.0ms (1.3%)

Memory
18.5MiB live, 62.1MiB allocated; 6ms collecting garbage
Compiler

Compiled 10 799 to 1 260 computations (88.3% saved)

prune18.0ms (0.7%)

Memory
-3.3MiB live, 40.9MiB allocated; 5ms collecting garbage
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New3029311
Fresh213
Picked415
Done011
Total30812320
Accuracy
100.0%
Counts
320 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.6%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)))) x))
99.6%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
99.6%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
99.5%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
99.5%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) x)))
99.0%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* -1/2 (* x x)) 2) #s(literal 2 binary64)) x)))
99.2%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))))))
99.1%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 #s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
13.9%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 #s(approx (+ (* (* x x) -1/4) (neg (log x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (log.f64 #s(literal 2 binary64))))
99.7%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64))) (log.f64 x))))
3.0%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/96 binary64))))
2.7%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
Compiler

Compiled 797 to 488 computations (38.8% saved)

series56.0ms (2.1%)

Memory
0.9MiB live, 97.1MiB allocated; 20ms collecting garbage
Counts
43 → 159
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64))) (log.f64 x))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64))) (log.f64 x)))
(-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64))) (log.f64 x))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) (*.f64 x x))
(-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64))
(*.f64 (*.f64 #s(literal -5/96 binary64) x) x)
(*.f64 #s(literal -5/96 binary64) x)
#s(literal -5/96 binary64)
x
#s(literal 3/32 binary64)
(*.f64 x x)
#s(literal 1/4 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 x)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* -1/2 (* x x)) 2) #s(literal 2 binary64)) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* -1/2 (* x x)) 2) #s(literal 2 binary64)) x))
(/.f64 #s(approx (+ (* -1/2 (* x x)) 2) #s(literal 2 binary64)) x)
#s(approx (+ (* -1/2 (* x x)) 2) #s(literal 2 binary64))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)))) x)
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)))
#s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) x))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) x)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 4 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 4 binary64)
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* -1/4 (pow x 2))) (log x))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))) (log x))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))) (log x))))
#s(approx (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) #s(hole binary64 (- (+ (log 2) (* -1/4 (pow x 2))) (log x))))
#s(approx (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))) (log x))))
#s(approx (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))) (log x))))
#s(approx (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) #s(hole binary64 (+ (log 2) (* -1/4 (pow x 2)))))
#s(approx (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) #s(hole binary64 (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))
#s(approx (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) #s(hole binary64 (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))
#s(approx (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) #s(hole binary64 (- (* -3/32 (pow x 2)) 1/4)))
#s(approx (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) #s(hole binary64 (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))
#s(approx (* (- (* (* -5/96 x) x) 3/32) (* x x)) #s(hole binary64 (* -3/32 (pow x 2))))
#s(approx (* (- (* (* -5/96 x) x) 3/32) (* x x)) #s(hole binary64 (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32))))
#s(approx (- (* (* -5/96 x) x) 3/32) #s(hole binary64 -3/32))
#s(approx (- (* (* -5/96 x) x) 3/32) #s(hole binary64 (- (* -5/96 (pow x 2)) 3/32)))
#s(approx (* (* -5/96 x) x) #s(hole binary64 (* -5/96 (pow x 2))))
#s(approx (* -5/96 x) #s(hole binary64 (* -5/96 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* -1/4 (pow x 2))) (log x))))
#s(approx (* (* x x) -1/4) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 1))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* (neg x) x) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) #s(hole binary64 2))
#s(approx (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) #s(hole binary64 -4))
#s(approx (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) #s(hole binary64 (- (* 1/4 (pow x 4)) 4)))
#s(approx (* (* (* x x) -1/2) (* (* x x) -1/2)) #s(hole binary64 (* 1/4 (pow x 4))))
#s(approx (* (* x x) -1/2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (- (* (* x x) -1/2) 2) #s(hole binary64 -2))
#s(approx (- (* (* x x) -1/2) 2) #s(hole binary64 (- (* -1/2 (pow x 2)) 2)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* -5/96 (pow x 6))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* -1 (* (pow x 6) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 3/32 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/96))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 6) (- (/ (log 2) (pow x 6)) (+ 5/96 (+ (* -1 (/ (log (/ 1 x)) (pow x 6))) (+ (/ 1/4 (pow x 4)) (* 3/32 (/ 1 (pow x 2))))))))))
#s(approx (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) #s(hole binary64 (* -5/96 (pow x 6))))
#s(approx (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) #s(hole binary64 (* -1 (* (pow x 6) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 3/32 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/96))))
#s(approx (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) #s(hole binary64 (* (pow x 6) (- (/ (log 2) (pow x 6)) (+ 5/96 (+ (* -1 (/ (log (/ 1 x)) (pow x 6))) (+ (/ 1/4 (pow x 4)) (* 3/32 (/ 1 (pow x 2))))))))))
#s(approx (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) #s(hole binary64 (* -5/96 (pow x 6))))
#s(approx (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) #s(hole binary64 (* -1 (* (pow x 6) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 3/32 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/96))))
#s(approx (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) #s(hole binary64 (* (pow x 6) (- (/ (log 2) (pow x 6)) (+ 5/96 (+ (/ 1/4 (pow x 4)) (* 3/32 (/ 1 (pow x 2)))))))))
#s(approx (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) #s(hole binary64 (* -5/96 (pow x 4))))
#s(approx (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) #s(hole binary64 (* -1 (* (pow x 4) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 3/32 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/96))))
#s(approx (* (- (* (* -5/96 x) x) 3/32) (* x x)) #s(hole binary64 (* -5/96 (pow x 4))))
#s(approx (* (- (* (* -5/96 x) x) 3/32) (* x x)) #s(hole binary64 (* -1 (* (pow x 4) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (- (* (* -5/96 x) x) 3/32) #s(hole binary64 (* -5/96 (pow x 2))))
#s(approx (- (* (* -5/96 x) x) 3/32) #s(hole binary64 (* -1 (* (pow x 2) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (* -1 (/ (log (/ 1 x)) (pow x 2))))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (sqrt -1)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (+ (sqrt -1) (/ 1 x)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (/ (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) #s(hole binary64 (* 1/4 (pow x 4))))
#s(approx (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) #s(hole binary64 (* (pow x 4) (- 1/4 (* 4 (/ 1 (pow x 4)))))))
#s(approx (- (* (* x x) -1/2) 2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (- (* (* x x) -1/2) 2) #s(hole binary64 (* -1 (* (pow x 2) (+ 1/2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 6) (- (/ (log 2) (pow x 6)) (+ 5/96 (+ (* -1 (/ (log (/ -1 x)) (pow x 6))) (+ (/ 1/4 (pow x 4)) (+ (* 3/32 (/ 1 (pow x 2))) (/ (log -1) (pow x 6))))))))))
#s(approx (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) #s(hole binary64 (* (pow x 6) (- (/ (log 2) (pow x 6)) (+ 5/96 (+ (* -1 (/ (log (/ -1 x)) (pow x 6))) (+ (/ 1/4 (pow x 4)) (+ (* 3/32 (/ 1 (pow x 2))) (/ (log -1) (pow x 6))))))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (+ (* -1 (/ (log (/ -1 x)) (pow x 2))) (/ (log -1) (pow x 2))))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (- (sqrt -1) (/ 1 x))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
#s(approx (/ (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
20.0ms
x
@-inf
((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* (- (* (* -5/96 x) x) 3/32) (* x x)) (- (* (* -5/96 x) x) 3/32) (* (* -5/96 x) x) (* -5/96 x) -5/96 x 3/32 (* x x) 1/4 (log 2) 2 (log x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (* (* x x) -1/4) -1/4 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (+ (* -1/2 (* x x)) 2) (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+ 1 (sqrt (- 1 (* x x)))) 1 (sqrt (- 1 (* x x))) (- 1 (* x x)) (* (neg x) x) (neg x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) x) (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (* (* (* x x) -1/2) (* (* x x) -1/2)) (* (* x x) -1/2) -1/2 4 (- (* (* x x) -1/2) 2))
19.0ms
x
@0
((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* (- (* (* -5/96 x) x) 3/32) (* x x)) (- (* (* -5/96 x) x) 3/32) (* (* -5/96 x) x) (* -5/96 x) -5/96 x 3/32 (* x x) 1/4 (log 2) 2 (log x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (* (* x x) -1/4) -1/4 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (+ (* -1/2 (* x x)) 2) (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+ 1 (sqrt (- 1 (* x x)))) 1 (sqrt (- 1 (* x x))) (- 1 (* x x)) (* (neg x) x) (neg x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) x) (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (* (* (* x x) -1/2) (* (* x x) -1/2)) (* (* x x) -1/2) -1/2 4 (- (* (* x x) -1/2) 2))
13.0ms
x
@inf
((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* (- (* (* -5/96 x) x) 3/32) (* x x)) (- (* (* -5/96 x) x) 3/32) (* (* -5/96 x) x) (* -5/96 x) -5/96 x 3/32 (* x x) 1/4 (log 2) 2 (log x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (* (* x x) -1/4) -1/4 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (+ (* -1/2 (* x x)) 2) (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+ 1 (sqrt (- 1 (* x x)))) 1 (sqrt (- 1 (* x x))) (- 1 (* x x)) (* (neg x) x) (neg x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) x) (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (* (* (* x x) -1/2) (* (* x x) -1/2)) (* (* x x) -1/2) -1/2 4 (- (* (* x x) -1/2) 2))

rewrite115.0ms (4.3%)

Memory
27.8MiB live, 116.6MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04914697
05323966
024883824
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
202 → 279
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64))) (log.f64 x))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64))) (log.f64 x)))
(-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64))) (log.f64 x))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) (*.f64 x x))
(-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64))
(*.f64 (*.f64 #s(literal -5/96 binary64) x) x)
(*.f64 #s(literal -5/96 binary64) x)
#s(literal -5/96 binary64)
x
#s(literal 3/32 binary64)
(*.f64 x x)
#s(literal 1/4 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 x)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* -1/2 (* x x)) 2) #s(literal 2 binary64)) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* -1/2 (* x x)) 2) #s(literal 2 binary64)) x))
(/.f64 #s(approx (+ (* -1/2 (* x x)) 2) #s(literal 2 binary64)) x)
#s(approx (+ (* -1/2 (* x x)) 2) #s(literal 2 binary64))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)))) x)
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)))
#s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) x))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) x)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 4 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 4 binary64)
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* -1/4 (pow x 2))) (log x))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))) (log x))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))) (log x))))
#s(approx (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) #s(hole binary64 (- (+ (log 2) (* -1/4 (pow x 2))) (log x))))
#s(approx (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))) (log x))))
#s(approx (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))) (log x))))
#s(approx (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) #s(hole binary64 (+ (log 2) (* -1/4 (pow x 2)))))
#s(approx (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) #s(hole binary64 (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))
#s(approx (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) #s(hole binary64 (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))
#s(approx (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) #s(hole binary64 (- (* -3/32 (pow x 2)) 1/4)))
#s(approx (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) #s(hole binary64 (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))
#s(approx (* (- (* (* -5/96 x) x) 3/32) (* x x)) #s(hole binary64 (* -3/32 (pow x 2))))
#s(approx (* (- (* (* -5/96 x) x) 3/32) (* x x)) #s(hole binary64 (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32))))
#s(approx (- (* (* -5/96 x) x) 3/32) #s(hole binary64 -3/32))
#s(approx (- (* (* -5/96 x) x) 3/32) #s(hole binary64 (- (* -5/96 (pow x 2)) 3/32)))
#s(approx (* (* -5/96 x) x) #s(hole binary64 (* -5/96 (pow x 2))))
#s(approx (* -5/96 x) #s(hole binary64 (* -5/96 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* -1/4 (pow x 2))) (log x))))
#s(approx (* (* x x) -1/4) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 1))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* (neg x) x) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) #s(hole binary64 2))
#s(approx (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) #s(hole binary64 -4))
#s(approx (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) #s(hole binary64 (- (* 1/4 (pow x 4)) 4)))
#s(approx (* (* (* x x) -1/2) (* (* x x) -1/2)) #s(hole binary64 (* 1/4 (pow x 4))))
#s(approx (* (* x x) -1/2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (- (* (* x x) -1/2) 2) #s(hole binary64 -2))
#s(approx (- (* (* x x) -1/2) 2) #s(hole binary64 (- (* -1/2 (pow x 2)) 2)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* -5/96 (pow x 6))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* -1 (* (pow x 6) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 3/32 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/96))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 6) (- (/ (log 2) (pow x 6)) (+ 5/96 (+ (* -1 (/ (log (/ 1 x)) (pow x 6))) (+ (/ 1/4 (pow x 4)) (* 3/32 (/ 1 (pow x 2))))))))))
#s(approx (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) #s(hole binary64 (* -5/96 (pow x 6))))
#s(approx (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) #s(hole binary64 (* -1 (* (pow x 6) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 3/32 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/96))))
#s(approx (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) #s(hole binary64 (* (pow x 6) (- (/ (log 2) (pow x 6)) (+ 5/96 (+ (* -1 (/ (log (/ 1 x)) (pow x 6))) (+ (/ 1/4 (pow x 4)) (* 3/32 (/ 1 (pow x 2))))))))))
#s(approx (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) #s(hole binary64 (* -5/96 (pow x 6))))
#s(approx (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) #s(hole binary64 (* -1 (* (pow x 6) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 3/32 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/96))))
#s(approx (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) #s(hole binary64 (* (pow x 6) (- (/ (log 2) (pow x 6)) (+ 5/96 (+ (/ 1/4 (pow x 4)) (* 3/32 (/ 1 (pow x 2)))))))))
#s(approx (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) #s(hole binary64 (* -5/96 (pow x 4))))
#s(approx (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) #s(hole binary64 (* -1 (* (pow x 4) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 3/32 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/96))))
#s(approx (* (- (* (* -5/96 x) x) 3/32) (* x x)) #s(hole binary64 (* -5/96 (pow x 4))))
#s(approx (* (- (* (* -5/96 x) x) 3/32) (* x x)) #s(hole binary64 (* -1 (* (pow x 4) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (- (* (* -5/96 x) x) 3/32) #s(hole binary64 (* -5/96 (pow x 2))))
#s(approx (- (* (* -5/96 x) x) 3/32) #s(hole binary64 (* -1 (* (pow x 2) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (* -1 (/ (log (/ 1 x)) (pow x 2))))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (sqrt -1)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (+ (sqrt -1) (/ 1 x)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (/ (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) #s(hole binary64 (* 1/4 (pow x 4))))
#s(approx (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) #s(hole binary64 (* (pow x 4) (- 1/4 (* 4 (/ 1 (pow x 4)))))))
#s(approx (- (* (* x x) -1/2) 2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (- (* (* x x) -1/2) 2) #s(hole binary64 (* -1 (* (pow x 2) (+ 1/2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 6) (- (/ (log 2) (pow x 6)) (+ 5/96 (+ (* -1 (/ (log (/ -1 x)) (pow x 6))) (+ (/ 1/4 (pow x 4)) (+ (* 3/32 (/ 1 (pow x 2))) (/ (log -1) (pow x 6))))))))))
#s(approx (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) #s(hole binary64 (* (pow x 6) (- (/ (log 2) (pow x 6)) (+ 5/96 (+ (* -1 (/ (log (/ -1 x)) (pow x 6))) (+ (/ 1/4 (pow x 4)) (+ (* 3/32 (/ 1 (pow x 2))) (/ (log -1) (pow x 6))))))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (+ (* -1 (/ (log (/ -1 x)) (pow x 2))) (/ (log -1) (pow x 2))))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (- (sqrt -1) (/ 1 x))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
#s(approx (/ (/ (- (* (* (* x x) -1/2) (* (* x x) -1/2)) 4) (- (* (* x x) -1/2) 2)) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))
Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64))) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64)))) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64))) (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64))) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64))) (log.f64 x)))))
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) x) x (log.f64 (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(-.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64))) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x)) (log.f64 x)))
(+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x)) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x)))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x))) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x)) (log.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x))) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x)) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x)) (log.f64 #s(literal 2 binary64))))))
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#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) x) #s(literal -1 binary64) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 5/96 binary64)) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log x)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 5/96 binary64)) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 x #s(literal 6 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))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) #s(literal -1 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x x)))) (*.f64 x x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) x) #s(literal -1 binary64) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) x) #s(literal -1 binary64) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (*.f64 (neg.f64 x) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))

eval63.0ms (2.4%)

Memory
-5.4MiB live, 97.9MiB allocated; 50ms collecting garbage
Compiler

Compiled 14 455 to 1 483 computations (89.7% saved)

prune19.0ms (0.7%)

Memory
0.3MiB live, 46.9MiB allocated; 3ms collecting garbage
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New3244328
Fresh235
Picked235
Done112
Total32911340
Accuracy
100.0%
Counts
340 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) x))
15.6%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)))) x))
99.5%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) x))
99.5%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
99.0%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* -1/2 (* x x)) 2) #s(literal 2 binary64)) x)))
99.2%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))))))
13.9%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 #s(approx (+ (* (* x x) -1/4) (neg (log x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (log.f64 #s(literal 2 binary64))))
99.6%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
99.1%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (-.f64 #s(approx (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log.f64 #s(literal 2 binary64))) (log.f64 x))))
3.0%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/96 binary64))))
2.7%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
Compiler

Compiled 695 to 422 computations (39.3% saved)

series71.0ms (2.6%)

Memory
-21.1MiB live, 120.1MiB allocated; 13ms collecting garbage
Counts
42 → 130
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x)
(-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64))
(*.f64 (*.f64 #s(literal -5/96 binary64) x) x)
(*.f64 #s(literal -5/96 binary64) x)
#s(literal -5/96 binary64)
x
#s(literal 3/32 binary64)
#s(literal 1/4 binary64)
(*.f64 x x)
(log.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/96 binary64))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/96 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/96 binary64))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 #s(approx (+ (* (* x x) -1/4) (neg (log x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (log.f64 #s(literal 2 binary64))))
(+.f64 #s(approx (+ (* (* x x) -1/4) (neg (log x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(log.f64 #s(literal 2 binary64))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) x))
(/.f64 (+.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) x)
(+.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) x)
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
#s(approx (- 1 (* x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* -1/4 (pow x 2))) (log x))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))) (log x))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))) (log x))))
#s(approx (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(hole binary64 (- (* -3/32 (pow x 2)) 1/4)))
#s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(hole binary64 (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))
#s(approx (* (* (- (* (* -5/96 x) x) 3/32) x) x) #s(hole binary64 (* -3/32 (pow x 2))))
#s(approx (* (* (- (* (* -5/96 x) x) 3/32) x) x) #s(hole binary64 (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32))))
#s(approx (* (- (* (* -5/96 x) x) 3/32) x) #s(hole binary64 (* -3/32 x)))
#s(approx (* (- (* (* -5/96 x) x) 3/32) x) #s(hole binary64 (* x (- (* -5/96 (pow x 2)) 3/32))))
#s(approx (- (* (* -5/96 x) x) 3/32) #s(hole binary64 -3/32))
#s(approx (- (* (* -5/96 x) x) 3/32) #s(hole binary64 (- (* -5/96 (pow x 2)) 3/32)))
#s(approx (* (* -5/96 x) x) #s(hole binary64 (* -5/96 (pow x 2))))
#s(approx (* -5/96 x) #s(hole binary64 (* -5/96 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (/ 2 x)) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x)))
#s(approx (* (pow x 6) -5/96) #s(hole binary64 (* -5/96 (pow x 6))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* -1/4 (pow x 2))) (log x))))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) #s(hole binary64 (* -1 (log x))))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) #s(hole binary64 (- (* -1/4 (pow x 2)) (log x))))
#s(approx (* (* x x) -1/4) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 1))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* -5/96 (pow x 6))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* -1 (* (pow x 6) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 3/32 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/96))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 6) (- (/ (log 2) (pow x 6)) (+ 5/96 (+ (* -1 (/ (log (/ 1 x)) (pow x 6))) (+ (/ 1/4 (pow x 4)) (* 3/32 (/ 1 (pow x 2))))))))))
#s(approx (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) #s(hole binary64 (* -5/96 (pow x 6))))
#s(approx (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) #s(hole binary64 (* -1 (* (pow x 6) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 3/32 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/96))))
#s(approx (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) #s(hole binary64 (* (pow x 6) (- (+ (/ (log 2) (pow x 6)) (/ (log (/ 1 x)) (pow x 6))) (+ 5/96 (+ (/ 1/4 (pow x 4)) (* 3/32 (/ 1 (pow x 2)))))))))
#s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(hole binary64 (* -5/96 (pow x 4))))
#s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(hole binary64 (* -1 (* (pow x 4) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 3/32 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/96))))
#s(approx (* (* (- (* (* -5/96 x) x) 3/32) x) x) #s(hole binary64 (* -5/96 (pow x 4))))
#s(approx (* (* (- (* (* -5/96 x) x) 3/32) x) x) #s(hole binary64 (* -1 (* (pow x 4) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* -5/96 x) x) 3/32) x) #s(hole binary64 (* -5/96 (pow x 3))))
#s(approx (* (- (* (* -5/96 x) x) 3/32) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (- (* (* -5/96 x) x) 3/32) #s(hole binary64 (* -5/96 (pow x 2))))
#s(approx (- (* (* -5/96 x) x) 3/32) #s(hole binary64 (* -1 (* (pow x 2) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (log (/ 2 x)) #s(hole binary64 (+ (log 2) (log (/ 1 x)))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (* -1 (/ (log (/ 1 x)) (pow x 2))))))))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) #s(hole binary64 (* (pow x 2) (- (/ (log (/ 1 x)) (pow x 2)) 1/4))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (sqrt -1)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (+ (sqrt -1) (/ 1 x)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 6) (- (/ (log 2) (pow x 6)) (+ 5/96 (+ (* -1 (/ (log (/ -1 x)) (pow x 6))) (+ (/ 1/4 (pow x 4)) (+ (* 3/32 (/ 1 (pow x 2))) (/ (log -1) (pow x 6))))))))))
#s(approx (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) #s(hole binary64 (* (pow x 6) (- (+ (/ (log -2) (pow x 6)) (/ (log (/ -1 x)) (pow x 6))) (+ 5/96 (+ (/ 1/4 (pow x 4)) (* 3/32 (/ 1 (pow x 2)))))))))
#s(approx (log (/ 2 x)) #s(hole binary64 (+ (log -2) (log (/ -1 x)))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (+ (* -1 (/ (log (/ -1 x)) (pow x 2))) (/ (log -1) (pow x 2))))))))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow x 2))) 1/4))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (- (sqrt -1) (/ 1 x))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
Calls

3 calls:

TimeVariablePointExpression
35.0ms
x
@-inf
((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* (* (- (* (* -5/96 x) x) 3/32) x) x) (* (- (* (* -5/96 x) x) 3/32) x) (- (* (* -5/96 x) x) 3/32) (* (* -5/96 x) x) (* -5/96 x) -5/96 x 3/32 1/4 (* x x) (log (/ 2 x)) (/ 2 x) 2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (* (pow x 6) -5/96) (pow x 6) 6 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (+ (* (* x x) -1/4) (neg (log x))) (* (* x x) -1/4) -1/4 (log 2) (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+ 1 (sqrt (- 1 (* x x)))) 1 (sqrt (- 1 (* x x))) (+ (* (* x x) -1/2) 1) -1/2 (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+ 1 (sqrt (- 1 (* x x)))) (sqrt (- 1 (* x x))) (- 1 (* x x)) (+ (* (neg x) x) 1) (neg x))
18.0ms
x
@0
((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* (* (- (* (* -5/96 x) x) 3/32) x) x) (* (- (* (* -5/96 x) x) 3/32) x) (- (* (* -5/96 x) x) 3/32) (* (* -5/96 x) x) (* -5/96 x) -5/96 x 3/32 1/4 (* x x) (log (/ 2 x)) (/ 2 x) 2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (* (pow x 6) -5/96) (pow x 6) 6 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (+ (* (* x x) -1/4) (neg (log x))) (* (* x x) -1/4) -1/4 (log 2) (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+ 1 (sqrt (- 1 (* x x)))) 1 (sqrt (- 1 (* x x))) (+ (* (* x x) -1/2) 1) -1/2 (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+ 1 (sqrt (- 1 (* x x)))) (sqrt (- 1 (* x x))) (- 1 (* x x)) (+ (* (neg x) x) 1) (neg x))
15.0ms
x
@inf
((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* (* (- (* (* -5/96 x) x) 3/32) x) x) (* (- (* (* -5/96 x) x) 3/32) x) (- (* (* -5/96 x) x) 3/32) (* (* -5/96 x) x) (* -5/96 x) -5/96 x 3/32 1/4 (* x x) (log (/ 2 x)) (/ 2 x) 2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (* (pow x 6) -5/96) (pow x 6) 6 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (+ (* (* x x) -1/4) (neg (log x))) (* (* x x) -1/4) -1/4 (log 2) (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+ 1 (sqrt (- 1 (* x x)))) 1 (sqrt (- 1 (* x x))) (+ (* (* x x) -1/2) 1) -1/2 (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+ 1 (sqrt (- 1 (* x x)))) (sqrt (- 1 (* x x))) (- 1 (* x x)) (+ (* (neg x) x) 1) (neg x))

rewrite117.0ms (4.3%)

Memory
-6.1MiB live, 82.8MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04603743
04973319
024613220
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
172 → 244
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x)
(-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64))
(*.f64 (*.f64 #s(literal -5/96 binary64) x) x)
(*.f64 #s(literal -5/96 binary64) x)
#s(literal -5/96 binary64)
x
#s(literal 3/32 binary64)
#s(literal 1/4 binary64)
(*.f64 x x)
(log.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/96 binary64))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/96 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/96 binary64))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 #s(approx (+ (* (* x x) -1/4) (neg (log x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (log.f64 #s(literal 2 binary64))))
(+.f64 #s(approx (+ (* (* x x) -1/4) (neg (log x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(log.f64 #s(literal 2 binary64))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) x))
(/.f64 (+.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) x)
(+.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) x)
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
#s(approx (- 1 (* x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* -1/4 (pow x 2))) (log x))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))) (log x))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))) (log x))))
#s(approx (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(hole binary64 (- (* -3/32 (pow x 2)) 1/4)))
#s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(hole binary64 (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))
#s(approx (* (* (- (* (* -5/96 x) x) 3/32) x) x) #s(hole binary64 (* -3/32 (pow x 2))))
#s(approx (* (* (- (* (* -5/96 x) x) 3/32) x) x) #s(hole binary64 (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32))))
#s(approx (* (- (* (* -5/96 x) x) 3/32) x) #s(hole binary64 (* -3/32 x)))
#s(approx (* (- (* (* -5/96 x) x) 3/32) x) #s(hole binary64 (* x (- (* -5/96 (pow x 2)) 3/32))))
#s(approx (- (* (* -5/96 x) x) 3/32) #s(hole binary64 -3/32))
#s(approx (- (* (* -5/96 x) x) 3/32) #s(hole binary64 (- (* -5/96 (pow x 2)) 3/32)))
#s(approx (* (* -5/96 x) x) #s(hole binary64 (* -5/96 (pow x 2))))
#s(approx (* -5/96 x) #s(hole binary64 (* -5/96 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (/ 2 x)) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x)))
#s(approx (* (pow x 6) -5/96) #s(hole binary64 (* -5/96 (pow x 6))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (- (+ (log 2) (* -1/4 (pow x 2))) (log x))))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) #s(hole binary64 (* -1 (log x))))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) #s(hole binary64 (- (* -1/4 (pow x 2)) (log x))))
#s(approx (* (* x x) -1/4) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 1))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* -5/96 (pow x 6))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* -1 (* (pow x 6) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 3/32 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/96))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 6) (- (/ (log 2) (pow x 6)) (+ 5/96 (+ (* -1 (/ (log (/ 1 x)) (pow x 6))) (+ (/ 1/4 (pow x 4)) (* 3/32 (/ 1 (pow x 2))))))))))
#s(approx (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) #s(hole binary64 (* -5/96 (pow x 6))))
#s(approx (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) #s(hole binary64 (* -1 (* (pow x 6) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 3/32 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/96))))
#s(approx (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) #s(hole binary64 (* (pow x 6) (- (+ (/ (log 2) (pow x 6)) (/ (log (/ 1 x)) (pow x 6))) (+ 5/96 (+ (/ 1/4 (pow x 4)) (* 3/32 (/ 1 (pow x 2)))))))))
#s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(hole binary64 (* -5/96 (pow x 4))))
#s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(hole binary64 (* -1 (* (pow x 4) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 3/32 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/96))))
#s(approx (* (* (- (* (* -5/96 x) x) 3/32) x) x) #s(hole binary64 (* -5/96 (pow x 4))))
#s(approx (* (* (- (* (* -5/96 x) x) 3/32) x) x) #s(hole binary64 (* -1 (* (pow x 4) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* -5/96 x) x) 3/32) x) #s(hole binary64 (* -5/96 (pow x 3))))
#s(approx (* (- (* (* -5/96 x) x) 3/32) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (- (* (* -5/96 x) x) 3/32) #s(hole binary64 (* -5/96 (pow x 2))))
#s(approx (- (* (* -5/96 x) x) 3/32) #s(hole binary64 (* -1 (* (pow x 2) (+ 5/96 (* 3/32 (/ 1 (pow x 2))))))))
#s(approx (log (/ 2 x)) #s(hole binary64 (+ (log 2) (log (/ 1 x)))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (* -1 (/ (log (/ 1 x)) (pow x 2))))))))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) #s(hole binary64 (* (pow x 2) (- (/ (log (/ 1 x)) (pow x 2)) 1/4))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (sqrt -1)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (+ (sqrt -1) (/ 1 x)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 6) (- (/ (log 2) (pow x 6)) (+ 5/96 (+ (* -1 (/ (log (/ -1 x)) (pow x 6))) (+ (/ 1/4 (pow x 4)) (+ (* 3/32 (/ 1 (pow x 2))) (/ (log -1) (pow x 6))))))))))
#s(approx (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) #s(hole binary64 (* (pow x 6) (- (+ (/ (log -2) (pow x 6)) (/ (log (/ -1 x)) (pow x 6))) (+ 5/96 (+ (/ 1/4 (pow x 4)) (* 3/32 (/ 1 (pow x 2)))))))))
#s(approx (log (/ 2 x)) #s(hole binary64 (+ (log -2) (log (/ -1 x)))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) #s(hole binary64 (* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (+ (* -1 (/ (log (/ -1 x)) (pow x 2))) (/ (log -1) (pow x 2))))))))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow x 2))) 1/4))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (- (sqrt -1) (/ 1 x))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
Outputs
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) x) x (log.f64 (/.f64 #s(literal 2 binary64) x)))))
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#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (fma.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) x) #s(literal -1 binary64) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) x) #s(literal -1 binary64) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 5/96 binary64)) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) (* x x)) (log (/ 2 x))) (*.f64 (-.f64 (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x))) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/32 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 5/96 binary64))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (log (/ 2 x)) (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (*.f64 x x))) (*.f64 x x)))
#s(approx (+ (* (* x x) -1/4) (neg (log x))) (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (fma.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) x) #s(literal -1 binary64) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) x) #s(literal -1 binary64) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (*.f64 (neg.f64 x) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))))))

eval28.0ms (1%)

Memory
36.6MiB live, 36.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 11 371 to 1 229 computations (89.2% saved)

prune39.0ms (1.5%)

Memory
-7.7MiB live, 39.7MiB allocated; 14ms collecting garbage
Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New2693272
Fresh112
Picked145
Done134
Total27211283
Accuracy
100.0%
Counts
283 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) x))
31.5%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1 (* x x))) #s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) x))
99.5%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
99.0%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* -1/2 (* x x)) 2) #s(literal 2 binary64)) x)))
13.9%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 #s(approx (+ (* (* x x) -1/4) (neg (log x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (log.f64 #s(literal 2 binary64))))
99.2%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))))))
99.6%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
99.5%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 #s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(literal -1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
99.1%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (-.f64 #s(approx (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log.f64 #s(literal 2 binary64))) (log.f64 x))))
3.0%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/96 binary64))))
2.7%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
Compiler

Compiled 1 342 to 484 computations (63.9% saved)

regimes63.0ms (2.3%)

Memory
-6.9MiB live, 38.7MiB allocated; 4ms collecting garbage
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/96 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* -1/2 (* x x)) 2) #s(literal 2 binary64)) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 #s(approx (+ (* (* x x) -1/4) (neg (log x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 #s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(literal -1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1 (* x x))) #s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)))) x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) x))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x)))) x)))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (-.f64 #s(approx (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log.f64 #s(literal 2 binary64))) (log.f64 x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 #s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64))) (log.f64 x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))))))
Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64))) (log.f64 x))))
Calls

3 calls:

48.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
7.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
6.0ms
x
Results
AccuracySegmentsBranch
99.7%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
99.7%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
99.7%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes21.0ms (0.8%)

Memory
-10.6MiB live, 32.8MiB allocated; 7ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/96 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* -1/2 (* x x)) 2) #s(literal 2 binary64)) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 #s(approx (+ (* (* x x) -1/4) (neg (log x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 #s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(literal -1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1 (* x x))) #s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)))) x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) x))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x)))) x)))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (-.f64 #s(approx (+ (* (- (* (- (* (* -5/96 x) x) 3/32) (* x x)) 1/4) (* x x)) (log 2)) (log.f64 #s(literal 2 binary64))) (log.f64 x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 #s(approx (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
Outputs
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) x))
Calls

3 calls:

9.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
6.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
5.0ms
x
Results
AccuracySegmentsBranch
99.6%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
99.6%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
99.6%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes11.0ms (0.4%)

Memory
23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/96 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* -1/2 (* x x)) 2) #s(literal 2 binary64)) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 #s(approx (+ (* (* x x) -1/4) (neg (log x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 #s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(literal -1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1 (* x x))) #s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)))) x))
Outputs
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) x))
Calls

3 calls:

3.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
3.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
3.0ms
x
Results
AccuracySegmentsBranch
99.5%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
99.5%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
99.5%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes12.0ms (0.5%)

Memory
-25.2MiB live, 18.2MiB allocated; 5ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/96 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* -1/2 (* x x)) 2) #s(literal 2 binary64)) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 #s(approx (+ (* (* x x) -1/4) (neg (log x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 #s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(literal -1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1 (* x x))) #s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) x))
Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
Calls

3 calls:

3.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
3.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
3.0ms
x
Results
AccuracySegmentsBranch
99.5%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
99.5%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
99.5%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes9.0ms (0.3%)

Memory
24.4MiB live, 24.4MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/96 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* -1/2 (* x x)) 2) #s(literal 2 binary64)) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 #s(approx (+ (* (* x x) -1/4) (neg (log x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 #s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(literal -1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 #s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(literal -1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
Calls

3 calls:

3.0ms
x
3.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
3.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Results
AccuracySegmentsBranch
99.5%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
99.5%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
99.5%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes8.0ms (0.3%)

Memory
18.9MiB live, 18.9MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/96 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* -1/2 (* x x)) 2) #s(literal 2 binary64)) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 #s(approx (+ (* (* x x) -1/4) (neg (log x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (log.f64 #s(literal 2 binary64))))
Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
Calls

3 calls:

2.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
2.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
2.0ms
x
Results
AccuracySegmentsBranch
99.0%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
99.0%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
99.0%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes12.0ms (0.4%)

Memory
-40.7MiB live, 13.0MiB allocated; 9ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/96 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/96 binary64))))
Calls

3 calls:

7.0ms
x
2.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
2.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Results
AccuracySegmentsBranch
3.0%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
3.0%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
3.0%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes4.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
Calls

3 calls:

1.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
1.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
1.0ms
x
Results
AccuracySegmentsBranch
2.7%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
2.7%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
2.7%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify40.0ms (1.5%)

Memory
-7.8MiB live, 36.4MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078261
1123261
2227261
3462261
4893261
53086261
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64))) (log.f64 x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) x))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 #s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(literal -1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/96 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/96 binary64) x) x) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64))) (log.f64 x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) x))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (fma.f64 #s(approx (- (* (* (- (* (* -5/96 x) x) 3/32) x) x) 1/4) #s(literal -1/4 binary64)) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (- (* (- (* -5/96 (* x x)) 3/32) (* x x)) 1/4) (* x x)) (neg (log x))) (log 2)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/96 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (+ (* (* x x) -1/4) (neg (log x))) (log 2)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))

derivations59.0ms (2.2%)

Memory
1.9MiB live, 92.1MiB allocated; 8ms collecting garbage
Stop Event
fuel
Compiler

Compiled 273 to 84 computations (69.2% saved)

preprocess111.0ms (4.1%)

Memory
26.8MiB live, 86.7MiB allocated; 163ms collecting garbage
Compiler

Compiled 572 to 186 computations (67.5% saved)

end0.0ms (0%)

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

Profiling

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