Metrics for sqrtexp (problem 3.4.4)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

1.6MiB live, 1.6MiB 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
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.5s (52.3%)

Memory

-187.0MiB live, 800.5MiB allocated; 998ms collecting garbage

Samples

957.0ms	8 256×	0	valid
143.0ms	2 544×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 864.0ms

ival-div: 447.0ms (51.7% of total)

ival-sqrt: 176.0ms (20.4% of total)

ival-expm1: 146.0ms (16.9% of total)

ival-mult: 79.0ms (9.1% of total)

exact: 9.0ms (1% of total)

adjust: 4.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain123.0ms (4.4%)

Memory

14.7MiB live, 115.5MiB allocated; 8ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
168	-	-	`(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))`
168	-	-	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
1	-	-	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
0	-	-	`(exp.f64 (*.f64 #s(literal 2 binary64) x))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 #s(literal 2 binary64) x)`
0	-	-	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(exp.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	168	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))`	cancellation	168	0
`/.f64`	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`	o/o	1	0
↳	`(exp.f64 (*.f64 #s(literal 2 binary64) x))`	overflow	1
↳	`(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))`	overflow	1
↳	`(exp.f64 x)`	overflow	1
↳	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	169	0
-	0	87

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	169	0	0
-	0	0	87

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	87
1	1
2	168

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms

512×

valid

Compiler

Compiled 106 to 34 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-exp: 11.0ms (38.4% of total)

ival-expm1: 6.0ms (20.9% of total)

ival-mult: 4.0ms (13.9% of total)

ival-div: 3.0ms (10.5% of total)

ival-sqrt: 3.0ms (10.5% of total)

exact: 1.0ms (3.5% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

preprocess212.0ms (7.6%)

Memory

8.4MiB live, 140.7MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	41
1	50	39
2	119	39
3	486	39
4	3083	18
0	10	12
0	17	12
1	33	12
2	69	12
3	215	12
4	1109	5
0	8655	5

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

Outputs

(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

(sqrt.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x)) #s(literal 1 binary64)))

Compiler

Compiled 12 to 10 computations (16.7% 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

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.4%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

Compiler

Compiled 12 to 10 computations (16.7% saved)

series6.0ms (0.2%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Counts

10 → 32

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal 1 binary64)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)

Outputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (exp (* 2 x)) #s(hole binary64 1))
#s(approx (exp (* 2 x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (* 2 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (* 2 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (exp (* 2 x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp x) #s(hole binary64 (exp x)))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x))
2.0ms	x	@	inf	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x))
1.0ms	x	@	0	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x))

Time

Variable

Point

Expression

2.0ms

-inf

((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x))

2.0ms

inf

((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x))

1.0ms

((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x))

rewrite223.0ms (8%)

Memory

-9.3MiB live, 133.4MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	565
0	133	523
1	763	413
0	6995	351

Stop Event

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

Counts

42 → 140

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal 1 binary64)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (exp (* 2 x)) #s(hole binary64 1))
#s(approx (exp (* 2 x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (* 2 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (* 2 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (exp (* 2 x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp x) #s(hole binary64 (exp x)))

Outputs
(*.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (/.f64 (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))))
(/.f64 (pow.f64 (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (exp.f64 x) (exp.f64 x)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (/.f64 (.f64 (exp.f64 x) (exp.f64 x)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))) (.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (exp.f64 x) (exp.f64 x)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (exp.f64 x) (exp.f64 x)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (/.f64 (.f64 (exp.f64 x) (exp.f64 x)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (exp.f64 x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (/.f64 (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))))
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#s(literal 2 binary64)
x
#s(literal 1 binary64)
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#s(approx (- (exp x) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (*.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (- (exp (* 2 x)) 1) (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))))
#s(approx (exp (* 2 x)) (*.f64 (exp.f64 x) (exp.f64 x)))
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#s(approx (exp x) (exp.f64 x))

eval14.0ms (0.5%)

Memory: 21.7MiB live, 21.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 818 to 605 computations (78.5% saved)

prune27.0ms (1%)

Memory

-12.3MiB live, 32.7MiB allocated; 7ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	140	3	143
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	141	3	144

Accuracy

100.0%

Counts

144 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
▶	66.2%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64))))
▶	66.5%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) x (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))

Status

Accuracy

Program

▶

100.0%

(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))

▶

66.2%

(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64))))

▶

66.5%

#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) x (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))

Compiler

Compiled 79 to 54 computations (31.6% saved)

series16.0ms (0.6%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Counts

30 → 80

Calls

Call 1

Inputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) x (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) x (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) x (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (*.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
#s(literal 3/8 binary64)
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))
#s(literal 7/96 binary64)
(/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
x
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(exp.f64 x)

Outputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) #s(hole binary64 (sqrt 2)))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) #s(hole binary64 (/ 1/2 (sqrt 2))))
#s(approx (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) #s(hole binary64 (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))
#s(approx (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) #s(hole binary64 (+ (* x (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))
#s(approx (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) #s(hole binary64 (/ 3/16 (sqrt 2))))
#s(approx (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) #s(hole binary64 (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))))
#s(approx (* (* 7/96 (/ x (pow 2 1/2))) 1/2) #s(hole binary64 (* 7/192 (/ x (sqrt 2)))))
#s(approx (* 7/96 (/ x (pow 2 1/2))) #s(hole binary64 (* 7/96 (/ x (sqrt 2)))))
#s(approx (/ x (pow 2 1/2)) #s(hole binary64 (/ x (sqrt 2))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(hole binary64 2))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/6 x)))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) #s(hole binary64 (sqrt 2)))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (+ (* (exp x) 1) 1) #s(hole binary64 2))
#s(approx (+ (* (exp x) 1) 1) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* (exp x) 1) 1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (* (exp x) 1) 1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) #s(hole binary64 (* 7/192 (/ (pow x 3) (sqrt 2)))))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) #s(hole binary64 (* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) #s(hole binary64 (* (pow x 3) (+ (/ 3/16 (* x (sqrt 2))) (+ (/ 1/2 (* (pow x 2) (sqrt 2))) (* 7/192 (/ 1 (sqrt 2))))))))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) #s(hole binary64 (* (pow x 3) (+ (/ 3/16 (* x (sqrt 2))) (+ (* 7/192 (/ 1 (sqrt 2))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 2)))) (/ (sqrt 2) (pow x 3))))))))
#s(approx (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) #s(hole binary64 (* 7/192 (/ (pow x 2) (sqrt 2)))))
#s(approx (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) #s(hole binary64 (* (pow x 2) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) #s(hole binary64 (* (pow x 2) (+ (/ 3/16 (* x (sqrt 2))) (+ (/ 1/2 (* (pow x 2) (sqrt 2))) (* 7/192 (/ 1 (sqrt 2))))))))
#s(approx (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) #s(hole binary64 (* 7/192 (/ x (sqrt 2)))))
#s(approx (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) #s(hole binary64 (* x (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 3)))))))))
#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) #s(hole binary64 (sqrt (+ 1 (exp x)))))
#s(approx (+ (* (exp x) 1) 1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))) x)) (* 7/192 (/ 1 (sqrt 2))))))))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2)))) x)) (* 7/192 (/ 1 (sqrt 2))))))))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1/6)))))
#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) (* (/ 3/8 (pow 2 1/2)) 1/2) (/ 3/8 (pow 2 1/2)) 3/8 (pow 2 1/2) 2 1/2 1 (* (* 7/96 (/ x (pow 2 1/2))) 1/2) (* 7/96 (/ x (pow 2 1/2))) 7/96 (/ x (pow 2 1/2)) x (* (pow (pow 2 1/2) -1) 1/2) (pow (pow 2 1/2) -1) -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) 1/6 (pow (+ (* (exp x) 1) 1) 1/2) (+ (* (exp x) 1) 1) (exp x))
5.0ms	x	@	-inf	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) (* (/ 3/8 (pow 2 1/2)) 1/2) (/ 3/8 (pow 2 1/2)) 3/8 (pow 2 1/2) 2 1/2 1 (* (* 7/96 (/ x (pow 2 1/2))) 1/2) (* 7/96 (/ x (pow 2 1/2))) 7/96 (/ x (pow 2 1/2)) x (* (pow (pow 2 1/2) -1) 1/2) (pow (pow 2 1/2) -1) -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) 1/6 (pow (+ (* (exp x) 1) 1) 1/2) (+ (* (exp x) 1) 1) (exp x))
3.0ms	x	@	0	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) (* (/ 3/8 (pow 2 1/2)) 1/2) (/ 3/8 (pow 2 1/2)) 3/8 (pow 2 1/2) 2 1/2 1 (* (* 7/96 (/ x (pow 2 1/2))) 1/2) (* 7/96 (/ x (pow 2 1/2))) 7/96 (/ x (pow 2 1/2)) x (* (pow (pow 2 1/2) -1) 1/2) (pow (pow 2 1/2) -1) -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) 1/6 (pow (+ (* (exp x) 1) 1) 1/2) (+ (* (exp x) 1) 1) (exp x))

Time

Variable

Point

Expression

6.0ms

inf

((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) (* (/ 3/8 (pow 2 1/2)) 1/2) (/ 3/8 (pow 2 1/2)) 3/8 (pow 2 1/2) 2 1/2 1 (* (* 7/96 (/ x (pow 2 1/2))) 1/2) (* 7/96 (/ x (pow 2 1/2))) 7/96 (/ x (pow 2 1/2)) x (* (pow (pow 2 1/2) -1) 1/2) (pow (pow 2 1/2) -1) -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) 1/6 (pow (+ (* (exp x) 1) 1) 1/2) (+ (* (exp x) 1) 1) (exp x))

5.0ms

-inf

((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) (* (/ 3/8 (pow 2 1/2)) 1/2) (/ 3/8 (pow 2 1/2)) 3/8 (pow 2 1/2) 2 1/2 1 (* (* 7/96 (/ x (pow 2 1/2))) 1/2) (* 7/96 (/ x (pow 2 1/2))) 7/96 (/ x (pow 2 1/2)) x (* (pow (pow 2 1/2) -1) 1/2) (pow (pow 2 1/2) -1) -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) 1/6 (pow (+ (* (exp x) 1) 1) 1/2) (+ (* (exp x) 1) 1) (exp x))

3.0ms

((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) (* (/ 3/8 (pow 2 1/2)) 1/2) (/ 3/8 (pow 2 1/2)) 3/8 (pow 2 1/2) 2 1/2 1 (* (* 7/96 (/ x (pow 2 1/2))) 1/2) (* 7/96 (/ x (pow 2 1/2))) 7/96 (/ x (pow 2 1/2)) x (* (pow (pow 2 1/2) -1) 1/2) (pow (pow 2 1/2) -1) -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) 1/6 (pow (+ (* (exp x) 1) 1) 1/2) (+ (* (exp x) 1) 1) (exp x))

rewrite176.0ms (6.3%)

Memory

1.8MiB live, 142.7MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	283	2396
0	320	2032
1	1581	1701
0	8252	1596

Stop Event

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

Counts

110 → 436

Calls

Call 1

Inputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) x (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) x (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) x (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (*.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
#s(literal 3/8 binary64)
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))
#s(literal 7/96 binary64)
(/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
x
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(exp.f64 x)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) #s(hole binary64 (sqrt 2)))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) #s(hole binary64 (/ 1/2 (sqrt 2))))
#s(approx (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) #s(hole binary64 (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))
#s(approx (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) #s(hole binary64 (+ (* x (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))
#s(approx (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) #s(hole binary64 (/ 3/16 (sqrt 2))))
#s(approx (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) #s(hole binary64 (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))))
#s(approx (* (* 7/96 (/ x (pow 2 1/2))) 1/2) #s(hole binary64 (* 7/192 (/ x (sqrt 2)))))
#s(approx (* 7/96 (/ x (pow 2 1/2))) #s(hole binary64 (* 7/96 (/ x (sqrt 2)))))
#s(approx (/ x (pow 2 1/2)) #s(hole binary64 (/ x (sqrt 2))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(hole binary64 2))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/6 x)))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) #s(hole binary64 (sqrt 2)))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (+ (* (exp x) 1) 1) #s(hole binary64 2))
#s(approx (+ (* (exp x) 1) 1) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* (exp x) 1) 1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (* (exp x) 1) 1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) #s(hole binary64 (* 7/192 (/ (pow x 3) (sqrt 2)))))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) #s(hole binary64 (* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) #s(hole binary64 (* (pow x 3) (+ (/ 3/16 (* x (sqrt 2))) (+ (/ 1/2 (* (pow x 2) (sqrt 2))) (* 7/192 (/ 1 (sqrt 2))))))))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) #s(hole binary64 (* (pow x 3) (+ (/ 3/16 (* x (sqrt 2))) (+ (* 7/192 (/ 1 (sqrt 2))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 2)))) (/ (sqrt 2) (pow x 3))))))))
#s(approx (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) #s(hole binary64 (* 7/192 (/ (pow x 2) (sqrt 2)))))
#s(approx (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) #s(hole binary64 (* (pow x 2) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) #s(hole binary64 (* (pow x 2) (+ (/ 3/16 (* x (sqrt 2))) (+ (/ 1/2 (* (pow x 2) (sqrt 2))) (* 7/192 (/ 1 (sqrt 2))))))))
#s(approx (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) #s(hole binary64 (* 7/192 (/ x (sqrt 2)))))
#s(approx (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) #s(hole binary64 (* x (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 3)))))))))
#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) #s(hole binary64 (sqrt (+ 1 (exp x)))))
#s(approx (+ (* (exp x) 1) 1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))) x)) (* 7/192 (/ 1 (sqrt 2))))))))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2)))) x)) (* 7/192 (/ 1 (sqrt 2))))))))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1/6)))))
#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))))

Outputs
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) (fma.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 7/96 binary64) (.f64 (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) x (.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))) x)) x (.f64 (.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))))
(/.f64 (-.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 #s(literal 7/96 binary64) (.f64 (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) x (.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))) x)))) #s(literal 3 binary64))) (+.f64 #s(literal 2 binary64) (fma.f64 (.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 #s(literal 7/96 binary64) (.f64 (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) x (.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))) x)))) (.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 #s(literal 7/96 binary64) (.f64 (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) x (.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))) x)))) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 #s(literal 7/96 binary64) (.f64 (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) x (.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))) x))))))))
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#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64) (.f64 #s(literal 7/192 binary64) (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))) x (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
#s(approx (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) (fma.f64 #s(literal 3/16 binary64) (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) (fma.f64 (fma.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64) (.f64 #s(literal 7/192 binary64) (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))) x (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) (*.f64 #s(literal 3/16 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) (fma.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64) (.f64 #s(literal 7/192 binary64) (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))))
#s(approx (* (* 7/96 (/ x (pow 2 1/2))) 1/2) (*.f64 #s(literal 7/192 binary64) (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))))
#s(approx (* 7/96 (/ x (pow 2 1/2))) (*.f64 (/.f64 #s(literal 7/96 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (/.f64 x (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ x (pow 2 1/2)) (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
#s(approx x x)
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#s(approx (+ (* (exp x) 1) 1) (+.f64 x #s(literal 2 binary64)))
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#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) #s(literal 2 binary64))
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#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) x)
#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (* (+ (* 1/6 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* 1/6 x) 1/2) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) (fma.f64 (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) (fma.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 3/8 binary64) x) #s(literal -1 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -2 binary64))) x (.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) (fma.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 7/96 binary64) (.f64 (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) x (.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))) x)) x (.f64 (.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))))
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#s(approx (+ (* (exp x) 1) 1) (+.f64 x #s(literal 2 binary64)))
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#s(approx (+ (* (exp x) 1) 1) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
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#s(approx (exp x) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)))
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#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) (/.f64 (*.f64 #s(literal 7/192 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) (.f64 (fma.f64 (pow.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) #s(literal -1 binary64)) #s(literal 3/16 binary64) (*.f64 #s(literal 7/192 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) (.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) x) (.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)) #s(literal 7/192 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) (.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) x) (.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal 7/192 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) (/.f64 (.f64 #s(literal 7/192 binary64) (.f64 x x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
#s(approx (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) (.f64 (.f64 x x) (fma.f64 (pow.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) #s(literal -1 binary64)) #s(literal 3/16 binary64) (.f64 #s(literal 7/192 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) (.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) x) (.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)) #s(literal 7/192 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))) (.f64 x x)))
#s(approx (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) (*.f64 #s(literal 7/192 binary64) (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))))
#s(approx (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) (.f64 (fma.f64 (pow.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) #s(literal -1 binary64)) #s(literal 3/16 binary64) (*.f64 #s(literal 7/192 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))) x))
#s(approx (+ (* (exp x) 1) 1) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) (.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) (.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (* (+ (* 1/6 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* 1/6 x) 1/2) x) (.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/6 binary64)) x))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
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#s(approx (exp x) (exp.f64 x))
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#s(approx (+ (* (+ (* (+ (* (* (/ 3/8 (pow 2 1/2)) 1/2) 1) (* (* 7/96 (/ x (pow 2 1/2))) 1/2)) x) (* (pow (pow 2 1/2) -1) 1/2)) x) (pow 2 1/2)) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) #s(literal -1 binary64)) x) (/.f64 (.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64) (.f64 #s(literal 3/16 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))) x) #s(literal -1 binary64) (.f64 #s(literal -7/192 binary64) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) #s(literal 1/6 binary64))))
#s(approx (+ (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) 1) 2) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (pow.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) #s(literal -1 binary64)) #s(literal 2 binary64)) x)) #s(literal -1 binary64)) #s(literal 1/6 binary64))))
#s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) 1) 1) x) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) #s(literal 1/6 binary64))))

eval83.0ms (3%)

Memory: -12.3MiB live, 88.5MiB allocated; 12ms collecting garbage
Compiler: Compiled 24 125 to 2 532 computations (89.5% saved)

prune249.0ms (8.9%)

Memory

1.4MiB live, 232.9MiB allocated; 23ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	504	0	504
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	504	3	507

Accuracy

100.0%

Counts

507 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓	66.2%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64))))
✓	66.5%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) x (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))

Status

Accuracy

Program

✓

100.0%

(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))

✓

66.2%

(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64))))

✓

66.5%

#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) x (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))

Compiler

Compiled 170 to 99 computations (41.8% saved)

regimes5.0ms (0.2%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) x (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))

Outputs
(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))

Calls

3 calls:

2.0ms

1.0ms

(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

1.0ms

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

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))`
100.0%	1	`x`

Compiler

Compiled 24 to 20 computations (16.7% saved)

regimes4.0ms (0.2%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) x (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))

(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64))))

(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

Outputs

(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64))))

Calls

3 calls:

1.0ms

(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

1.0ms

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

Results

Accuracy	Segments	Branch
99.3%	2	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
99.3%	2	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))`
99.3%	2	`x`

Compiler

Compiled 24 to 20 computations (16.7% saved)

regimes4.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.2b remaining (-1%)

Threshold costs -0.2b (-1%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) x (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))

(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64))))

Outputs

#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) x (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))

Calls

3 calls:

1.0ms

(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

1.0ms

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

Results

Accuracy	Segments	Branch
66.5%	1	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
66.5%	1	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))`
66.5%	1	`x`

Compiler

Compiled 24 to 20 computations (16.7% saved)

bsearch24.0ms (0.9%)

Memory

-29.9MiB live, 16.0MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-0.07113323698115775	-4.3133274150962007e-11

Samples

16.0ms

144×

valid

Compiler

Compiled 366 to 299 computations (18.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-expm1: 3.0ms (51.2% of total)

ival-div: 1.0ms (17.1% of total)

ival-mult: 1.0ms (17.1% of total)

ival-sqrt: 1.0ms (17.1% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify44.0ms (1.6%)

Memory

0.4MiB live, 46.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	95
1	65	95
2	104	95
3	270	95
4	1393	95

Stop Event

1×	node limit

Calls

Call 1

Inputs

(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))

(if (<=.f64 x #s(literal -7839866231326559/9223372036854775808 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64)))))

#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) x (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))

Outputs

(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))

(if (<=.f64 x #s(literal -7839866231326559/9223372036854775808 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64)))))

#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) x (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))

derivations93.0ms (3.3%)

Memory

-37.1MiB live, 40.7MiB allocated; 31ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 95 to 48 computations (49.5% saved)

preprocess30.0ms (1.1%)

Memory: 36.3MiB live, 36.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 214 to 116 computations (45.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.5s (52.3%)

explain123.0ms (4.4%)

preprocess212.0ms (7.6%)

eval0.0ms (0%)

prune0.0ms (0%)

series6.0ms (0.2%)

rewrite223.0ms (8%)

eval14.0ms (0.5%)

prune27.0ms (1%)

series16.0ms (0.6%)

rewrite176.0ms (6.3%)

eval83.0ms (3%)

prune249.0ms (8.9%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch24.0ms (0.9%)

simplify44.0ms (1.6%)

derivations93.0ms (3.3%)

preprocess30.0ms (1.1%)

end0.0ms (0%)

Profiling