Metrics for Hyperbolic arc-(co)secant

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample824.0ms (42.8%)

Memory

61.3MiB live, 656.8MiB allocated; 139ms collecting garbage

Samples

578.0ms	8 256×	0	valid
1.0ms	24×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 403.0ms

ival-div!: 118.0ms (29.3% of total)

ival-sqrt: 109.0ms (27% of total)

ival-log: 83.0ms (20.6% of total)

ival-mult!: 48.0ms (11.9% of total)

ival-add!: 22.0ms (5.5% of total)

ival-sub!: 20.0ms (5% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain137.0ms (7.1%)

Memory

-31.9MiB live, 116.0MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
0	-	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 #s(literal 1 binary64) x)`
0	-	-	`(*.f64 x x)`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
0	-	-	`(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)`
0	-	-	`x`
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

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`	oflow-rescue	1	0
↳	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

55.0ms

512×

valid

Compiler

Compiled 121 to 31 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-log: 5.0ms (25.5% of total)

ival-div!: 5.0ms (25.5% of total)

ival-sqrt: 4.0ms (20.4% of total)

ival-mult!: 3.0ms (15.3% of total)

ival-sub!: 1.0ms (5.1% of total)

ival-add!: 1.0ms (5.1% of total)

adjust: 0.0ms (0% of total)

preprocess201.0ms (10.4%)

Memory

41.1MiB live, 129.5MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	36
1	45	36
2	81	36
3	126	36
4	260	36
5	942	36
6	3650	36
0	9	13
0	16	11
1	27	11
2	53	11
3	97	11
4	189	11
5	675	11
6	6886	11
0	8335	11

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	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

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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)

series12.0ms (0.6%)

Memory

-35.2MiB live, 8.8MiB allocated; 6ms 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:

Time	Variable		Point	Expression
7.0ms	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	@	-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))

Time

Variable

Point

Expression

7.0ms

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

-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

((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))

rewrite61.0ms (3.2%)

Memory

40.1MiB live, 40.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	1429
0	240	1103
0	1281	1079

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	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)))

eval65.0ms (3.4%)

Memory: -36.7MiB live, 15.3MiB allocated; 11ms collecting garbage
Compiler: Compiled 1 986 to 429 computations (78.4% saved)

prune5.0ms (0.3%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	85	6	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	7	92

Accuracy

100.0%

Counts

92 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
▶	17.2%	(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)))
▶	99.4%	(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))))
	99.4%	#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))))

Compiler

Compiled 255 to 179 computations (29.8% saved)

series10.0ms (0.5%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Counts

31 → 84

Calls

Call 1

Inputs
(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)))
#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))
(/.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)
(fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(literal -1/8 binary64) (.f64 x x))
#s(literal -1/8 binary64)
(*.f64 x x)
x
#s(literal 1/2 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 #s(literal 2 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
(/.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)))
#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))

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 (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (- (* -1/8 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* -1/8 (* x x)) 1/2) #s(hole binary64 (- (* -1/8 (pow x 2)) 1/2)))
#s(approx (* -1/8 (* x x)) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 2 x) #s(hole binary64 (/ 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 (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 (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) #s(hole binary64 (* -1/8 (pow x 3))))
#s(approx (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) #s(hole binary64 (* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (* -1/8 (pow x 4))))
#s(approx (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (- (* -1/8 (* x x)) 1/2) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (- (* -1/8 (* x x)) 1/2) #s(hole binary64 (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))))
#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 (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 (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))))
#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)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) (- (* -1/8 (* x x)) 1/2) (* -1/8 (* x x)) -1/8 (* x x) x 1/2 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)) (/ 2 x) (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)))
3.0ms	x	@	-inf	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) (- (* -1/8 (* x x)) 1/2) (* -1/8 (* x x)) -1/8 (* x x) x 1/2 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)) (/ 2 x) (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)))
2.0ms	x	@	0	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) (- (* -1/8 (* x x)) 1/2) (* -1/8 (* x x)) -1/8 (* x x) x 1/2 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)) (/ 2 x) (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)))

Time

Variable

Point

Expression

4.0ms

inf

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) (- (* -1/8 (* x x)) 1/2) (* -1/8 (* x x)) -1/8 (* x x) x 1/2 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)) (/ 2 x) (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)))

3.0ms

-inf

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) (- (* -1/8 (* x x)) 1/2) (* -1/8 (* x x)) -1/8 (* x x) x 1/2 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)) (/ 2 x) (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)))

2.0ms

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) (- (* -1/8 (* x x)) 1/2) (* -1/8 (* x x)) -1/8 (* x x) x 1/2 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)) (/ 2 x) (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)))

rewrite64.0ms (3.3%)

Memory

9.7MiB live, 53.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	308	2238
0	335	1853
0	1585	1825

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

115 → 163

Calls

Call 1

Inputs
(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)))
#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))
(/.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)
(fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(literal -1/8 binary64) (.f64 x x))
#s(literal -1/8 binary64)
(*.f64 x x)
x
#s(literal 1/2 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 #s(literal 2 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
(/.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)))
#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))) #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 (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (- (* -1/8 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* -1/8 (* x x)) 1/2) #s(hole binary64 (- (* -1/8 (pow x 2)) 1/2)))
#s(approx (* -1/8 (* x x)) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 2 x) #s(hole binary64 (/ 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 (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 (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) #s(hole binary64 (* -1/8 (pow x 3))))
#s(approx (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) #s(hole binary64 (* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (* -1/8 (pow x 4))))
#s(approx (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (- (* -1/8 (* x x)) 1/2) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (- (* -1/8 (* x x)) 1/2) #s(hole binary64 (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))))
#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 (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 (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))))
#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)))))))))

Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #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 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(/.f64 (neg.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(+.f64 (/.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x) x) (/.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x) x))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x)) (.f64 #s(literal 2 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)))))
(fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 (.f64 x x) #s(literal -1/8 binary64))) #s(literal 1/4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 (.f64 x x) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal -1/8 binary64) x) x)
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(.f64 #s(literal -1/8 binary64) (.f64 x x))
#s(literal -1/8 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal 1/2 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)))
(pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 #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 #s(literal 2 binary64) x))
(/.f64 #s(literal -2 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(/.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 #s(literal 8 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)))) x))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (.f64 (/.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (.f64 (neg.f64 x) x))) x) (/.f64 (sqrt.f64 #s(approx (- 1 ( x x)) (.f64 (neg.f64 x) x))) x))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(approx (- 1 ( x x)) (*.f64 (neg.f64 x) x))) x)))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (.f64 (neg.f64 x) x))) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (/.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (.f64 (neg.f64 x) x))) x) (/.f64 (sqrt.f64 #s(approx (- 1 ( x x)) (.f64 (neg.f64 x) x))) x)) (.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (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 (fma.f64 #s(literal 1 binary64) x (.f64 x (sqrt.f64 #s(approx (- 1 ( x x)) (.f64 (neg.f64 x) x))))) (.f64 x x))
(+.f64 (/.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x))) x) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x))) 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)
(/.f64 (neg.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)))) (neg.f64 x))
(/.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x))) x)
(pow.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)) #s(literal 1/2 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)
(.f64 (.f64 x x) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x x))
(*.f64 x (neg.f64 x))
(neg.f64 (*.f64 x x))
#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 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #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 (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
#s(approx (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) #s(literal 2 binary64))
#s(approx (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (* -1/8 (* x x)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* -1/8 (* x x)) 1/2) (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
#s(approx (* -1/8 (* x x)) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
#s(approx (+ (* -1/2 (* x x)) 2) #s(literal 2 binary64))
#s(approx (+ (* -1/2 (* x x)) 2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)))
#s(approx (/ 1 x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (sqrt (- 1 (* x x))) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #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 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #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 (neg.f64 x) x #s(literal 1 binary64)))
#s(approx (neg (* x x)) (*.f64 (neg.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 (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)))
#s(approx (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)))
#s(approx (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* -1/8 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
#s(approx (- (* -1/8 (* x x)) 1/2) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/8 binary64))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/2 (* x x)) 2) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (* x x)) 2) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
#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)) (*.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 (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 (/ (+ (* (- (* -1/8 (* x x)) 1/2) (* x x)) 2) x) (neg.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 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 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (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 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (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)))

eval21.0ms (1.1%)

Memory: -12.4MiB live, 34.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 5 717 to 855 computations (85% saved)

prune10.0ms (0.5%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	205	7	212

Accuracy

100.0%

Counts

212 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	17.2%	(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)))
✓	99.4%	(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)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
▶	99.4%	#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))))

Compiler

Compiled 143 to 99 computations (30.8% saved)

series93.0ms (4.8%)

Memory

-9.3MiB live, 95.0MiB allocated; 31ms collecting garbage

Counts

20 → 91

Calls

Call 1

Inputs
#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))))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 x)
x
#s(literal -1 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 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)

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 (+ (* (log x) -1) (log 2)) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 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) #s(hole binary64 (* -1/2 x)))
#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 (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 (+ (* (log x) -1) (log 2)) #s(hole binary64 (+ (log 2) (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 (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 (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 (+ (* (log x) -1) (log 2)) #s(hole binary64 (+ (log 2) (* -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 (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:

Time	Variable		Point	Expression
41.0ms	x	@	0	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (* (log x) -1) (log 2)) (log x) x -1 (log 2) 2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (* -1/2 x) -1/2 (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))
31.0ms	x	@	inf	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (* (log x) -1) (log 2)) (log x) x -1 (log 2) 2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (* -1/2 x) -1/2 (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))
19.0ms	x	@	-inf	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (* (log x) -1) (log 2)) (log x) x -1 (log 2) 2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (* -1/2 x) -1/2 (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))

Time

Variable

Point

Expression

41.0ms

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (* (log x) -1) (log 2)) (log x) x -1 (log 2) 2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (* -1/2 x) -1/2 (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))

31.0ms

inf

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (* (log x) -1) (log 2)) (log x) x -1 (log 2) 2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (* -1/2 x) -1/2 (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))

19.0ms

-inf

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (* (log x) -1) (log 2)) (log x) x -1 (log 2) 2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (* -1/2 x) -1/2 (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))

rewrite94.0ms (4.9%)

Memory

-8.7MiB live, 35.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	313	2351
0	322	1924
0	1573	1859

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

111 → 134

Calls

Call 1

Inputs
#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))))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 x)
x
#s(literal -1 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 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)
#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 (+ (* (log x) -1) (log 2)) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 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) #s(hole binary64 (* -1/2 x)))
#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 (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 (+ (* (log x) -1) (log 2)) #s(hole binary64 (+ (log 2) (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 (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 (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 (+ (* (log x) -1) (log 2)) #s(hole binary64 (+ (log 2) (* -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 (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)) (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
(/.f64 (-.f64 (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)) (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))
(log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64))))
(log.f64 x)
x
#s(literal -1 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 #s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(-.f64 (log1p.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)))) (log.f64 x))
(log.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x))) #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x))) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x))) #s(literal 1 binary64)) x)
(+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(approx (- 1 ( x x)) (.f64 (neg.f64 x) x))) (sqrt.f64 #s(approx (- 1 ( x x)) (.f64 (neg.f64 x) x))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 ( x x)) (*.f64 (neg.f64 x) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (.f64 (neg.f64 x) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (.f64 (neg.f64 x) x))) (sqrt.f64 #s(approx (- 1 ( x x)) (.f64 (neg.f64 x) x)))) (.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)))))))
(+.f64 (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x))))
#s(literal 1 binary64)
(pow.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)) #s(literal 1/2 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)
(.f64 (.f64 x x) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x x))
(*.f64 x (neg.f64 x))
(neg.f64 (*.f64 x x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (log (/ (+ 1 (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 (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 (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 x) -1) (log 2)) (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (log x) (log.f64 x))
#s(approx x x)
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
#s(approx (/ (+ 1 (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 (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 (/ (+ (* -1/2 (* x x)) 2) x) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
#s(approx (* -1/2 x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (log (/ (+ 1 (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 (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 (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 (sqrt (- 1 (* x x)))) x) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
#s(approx (/ (+ 1 (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 (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 (sqrt (- 1 (* x x)))) #s(literal 2 binary64))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (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 2 binary64)))
#s(approx (+ 1 (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 2 binary64)))
#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 (neg.f64 x) x #s(literal 1 binary64)))
#s(approx (* (neg x) x) (*.f64 (neg.f64 x) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (/ (+ 1 (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 (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 (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 (+ (* (log x) -1) (log 2)) (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (log x) (neg.f64 (neg.f64 (log.f64 x))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (/ (+ 1 (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))) (pow.f64 x #s(literal -1 binary64))))
#s(approx (/ (+ 1 (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))) (pow.f64 x #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 (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (/ (+ 1 (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 (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 (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 (sqrt (- 1 (* x x)))) x) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (/ (+ 1 (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))) (pow.f64 x #s(literal -1 binary64))))
#s(approx (/ (+ 1 (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))) (pow.f64 x #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 (+ 1 (sqrt (- 1 (* x x)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ 1 (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))) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ 1 (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))) (pow.f64 x #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 (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 (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 (+ (* (log x) -1) (log 2)) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64) (log.f64 #s(literal 2 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 (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 (/ (+ (* -1/2 (* 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 (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 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))))))

eval9.0ms (0.5%)

Memory: 9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 749 to 498 computations (81.9% saved)

prune6.0ms (0.3%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	0	0	0
Picked	1	2	3
Done	2	2	4
Total	115	6	121

Accuracy

100.0%

Counts

121 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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))
✓	17.2%	(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 #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)))
✓	99.4%	(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)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
▶	99.4%	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))

Compiler

Compiled 119 to 84 computations (29.4% saved)

series53.0ms (2.8%)

Memory

-1.3MiB live, 43.9MiB allocated; 4ms collecting garbage

Counts

15 → 79

Calls

Call 1

Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(neg.f64 (log.f64 x))
(log.f64 x)
x
(log.f64 #s(literal 2 binary64))
#s(literal 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)))))
#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 (+ (neg (log x)) (log 2)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (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) 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 (+ (neg (log x)) (log 2)) #s(hole binary64 (- (log 2) (* -1 (log (/ 1 x))))))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (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 (+ (* (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 (+ (neg (log x)) (log 2)) #s(hole binary64 (- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (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:

Time	Variable		Point	Expression
26.0ms	x	@	0	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (neg (log x)) (log 2)) (neg (log x)) (log x) x (log 2) 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) 1) (neg x))
13.0ms	x	@	-inf	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (neg (log x)) (log 2)) (neg (log x)) (log x) x (log 2) 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) 1) (neg x))
13.0ms	x	@	inf	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (neg (log x)) (log 2)) (neg (log x)) (log x) x (log 2) 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) 1) (neg x))

Time

Variable

Point

Expression

26.0ms

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (neg (log x)) (log 2)) (neg (log x)) (log x) x (log 2) 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) 1) (neg x))

13.0ms

-inf

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (neg (log x)) (log 2)) (neg (log x)) (log x) x (log 2) 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) 1) (neg x))

13.0ms

inf

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (neg (log x)) (log 2)) (neg (log x)) (log x) x (log 2) 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) 1) (neg x))

rewrite83.0ms (4.3%)

Memory

-7.6MiB live, 38.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	1938
0	303	1597
0	1525	1546

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

94 → 128

Calls

Call 1

Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(neg.f64 (log.f64 x))
(log.f64 x)
x
(log.f64 #s(literal 2 binary64))
#s(literal 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)))))
#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 (+ (neg (log x)) (log 2)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (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) 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 (+ (neg (log x)) (log 2)) #s(hole binary64 (- (log 2) (* -1 (log (/ 1 x))))))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (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 (+ (* (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 (+ (neg (log x)) (log 2)) #s(hole binary64 (- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (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)) (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
(/.f64 (-.f64 (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)) (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 x))
(neg.f64 (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 x))
(log.f64 (pow.f64 x #s(literal -1 binary64)))
(log.f64 x)
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log1p.f64 (sqrt.f64 #s(approx (+ (* (neg x) x) 1) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (log.f64 x))
(log.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (neg x) x) 1) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (neg x) x) 1) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (neg x) x) 1) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)) x)
(+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(approx (+ (* (neg x) x) 1) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(approx (+ ( (neg x) x) 1) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (sqrt.f64 #s(approx (+ (* (neg x) x) 1) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (neg x) x) 1) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (+ (* (neg x) x) 1) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 #s(approx (+ ( (neg x) x) 1) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (sqrt.f64 #s(approx (+ (* (neg x) x) 1) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( (neg x) x) 1) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))))
(+.f64 (sqrt.f64 #s(approx (+ (* (neg x) x) 1) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (neg x) x) 1) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
#s(literal 1 binary64)
(pow.f64 #s(approx (+ (* (neg x) x) 1) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (* (neg x) x) 1) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
#s(approx (+ (* (neg x) x) 1) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (-.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x))) (-.f64 #s(literal 1 binary64) (.f64 (neg.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 (+.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (neg.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (log (/ (+ 1 (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 (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 (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 (+ (neg (log x)) (log 2)) (log.f64 (/.f64 #s(literal 2 binary64) x)))
#s(approx (neg (log x)) (neg.f64 (log.f64 x)))
#s(approx (log x) (log.f64 x))
#s(approx x x)
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (log (/ (+ 1 (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 (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 (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 (sqrt (- 1 (* x x)))) x) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (/ (+ 1 (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 (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 (sqrt (- 1 (* x x)))) #s(literal 2 binary64))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ 1 (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 2 binary64)))
#s(approx (+ 1 (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 2 binary64)))
#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 (+ (* (neg x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (neg x) x) 1) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
#s(approx (+ (* (neg x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (neg x) x) 1) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (/ (+ 1 (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 (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 (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 (+ (neg (log x)) (log 2)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x)))))
#s(approx (neg (log x)) (neg.f64 (log.f64 x)))
#s(approx (log x) (neg.f64 (neg.f64 (log.f64 x))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (/ (+ 1 (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 (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 (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 (sqrt (- 1 (* x x)))) x) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (/ (+ 1 (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))) (pow.f64 x #s(literal -1 binary64))))
#s(approx (/ (+ 1 (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))) (pow.f64 x #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 (+ 1 (sqrt (- 1 (* x x)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ 1 (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))) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ 1 (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))) (pow.f64 x #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 (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 (+ (* (neg x) x) 1) (*.f64 (neg.f64 x) x))
#s(approx (+ (* (neg x) x) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (+ (* (neg x) x) 1) (*.f64 (neg.f64 x) x))
#s(approx (+ (* (neg x) x) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 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 (+ (neg (log x)) (log 2)) (-.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (neg (log x)) (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (log x) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#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 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))))))

eval11.0ms (0.6%)

Memory: 12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 813 to 557 computations (80.2% saved)

prune49.0ms (2.5%)

Memory

-38.5MiB live, 10.0MiB allocated; 17ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	116	6	122

Accuracy

100.0%

Counts

122 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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))
✓	17.2%	(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 #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)))
✓	99.4%	(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)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
✓	99.4%	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))

Compiler

Compiled 333 to 157 computations (52.9% saved)

regimes11.0ms (0.6%)

Memory

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

Counts

11 → 1

Calls

Call 1

Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
(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 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 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))) (+.f64 (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))))

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:

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

Results

Accuracy	Segments	Branch
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%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes6.0ms (0.3%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
(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 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 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 #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:

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

Results

Accuracy	Segments	Branch
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%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes5.0ms (0.3%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x))))

(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)))

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))

1.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`
99.4%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.4%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes4.0ms (0.2%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x))))

(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))

Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x))))

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

Results

Accuracy	Segments	Branch
0.0%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`
0.0%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
0.0%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify49.0ms (2.5%)

Memory

-21.5MiB live, 24.7MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	77
1	54	77
2	114	77
3	302	75
4	944	75
5	7520	75

Stop Event

1×	node limit

Calls

Call 1

Inputs
(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
(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)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x))))

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))
(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 #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)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x))))

derivations16.0ms (0.8%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 83 to 35 computations (57.8% saved)

preprocess24.0ms (1.2%)

Memory: -16.8MiB live, 27.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 192 to 88 computations (54.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.1%)

sample824.0ms (42.8%)

explain137.0ms (7.1%)

preprocess201.0ms (10.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series12.0ms (0.6%)

rewrite61.0ms (3.2%)

eval65.0ms (3.4%)

prune5.0ms (0.3%)

series10.0ms (0.5%)

rewrite64.0ms (3.3%)

eval21.0ms (1.1%)

prune10.0ms (0.5%)

series93.0ms (4.8%)

rewrite94.0ms (4.9%)

eval9.0ms (0.5%)

prune6.0ms (0.3%)

series53.0ms (2.8%)

rewrite83.0ms (4.3%)

eval11.0ms (0.6%)

prune49.0ms (2.5%)

regimes11.0ms (0.6%)

regimes6.0ms (0.3%)

regimes5.0ms (0.3%)

regimes4.0ms (0.2%)

simplify49.0ms (2.5%)

derivations16.0ms (0.8%)

preprocess24.0ms (1.2%)

end0.0ms (0%)

Profiling