Metrics for sqrtexp (problem 3.4.4)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB 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)

sample1.1s (47.1%)

Memory

58.9MiB live, 1 129.7MiB allocated; 543ms collecting garbage

Samples

590.0ms	8 256×	0	valid
179.0ms	2 618×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 481.0ms

ival-expm1: 214.0ms (44.5% of total)

ival-sqrt: 100.0ms (20.8% of total)

ival-div!: 99.0ms (20.6% of total)

ival-mult!: 65.0ms (13.5% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

preprocess55.0ms (2.3%)

Memory

-14.8MiB live, 48.7MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	41
1	82	39
2	337	39
3	2270	39

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.0%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

Compiler

Compiled 22 to 20 computations (9.1% saved)

series5.0ms (0.2%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Counts

10 → 29

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 x #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 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))

rewrite167.0ms (7.1%)

Memory

24.6MiB live, 151.3MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	548
0	130	506
1	949	400
0	8238	341

Stop Event

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

Counts

39 → 149

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 x #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 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 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1/2 binary64)))
(pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(fabs.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 (neg.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x)) #s(literal 1 binary64)) (expm1.f64 x))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (expm1.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))) (expm1.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 (+.f64 x x)))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (exp.f64 (+.f64 x x)))
(.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))))))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))))))
(/.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))) (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64)))))
(neg.f64 (neg.f64 (expm1.f64 (+.f64 x x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)))) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x))
(expm1.f64 (+.f64 x x))
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))))))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)))) (cosh.f64 (+.f64 x x)))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) (exp.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x))) (.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))) (-.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (+.f64 x x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)) (-.f64 (.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))) (.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))))))
(sqrt.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))))
(-.f64 (cosh.f64 (+.f64 x x)) (neg.f64 (sinh.f64 (+.f64 x x))))
(fabs.f64 (neg.f64 (exp.f64 (+.f64 x x))))
(fabs.f64 (exp.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x))
(exp.f64 (+.f64 x x))
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 x x) (*.f64 x x))))
(-.f64 x (neg.f64 x))
(+.f64 x x)
#s(literal 2 binary64)
x
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (exp.f64 x))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (exp.f64 x))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64)))))))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64)))))))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) #s(literal -1 binary64))
(expm1.f64 x)
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64)))))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (cosh.f64 x) (neg.f64 (sinh.f64 x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 x)
(+.f64 (cosh.f64 x) (sinh.f64 x))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 7/96 binary64) x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp (* 2 x)) 1) (+.f64 x x))
#s(approx (- (exp (* 2 x)) 1) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x))
#s(approx (- (exp (* 2 x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (* 2 x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (exp (* 2 x)) #s(literal 1 binary64))
#s(approx (exp (* 2 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
#s(approx (exp (* 2 x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.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)) x))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (- (exp (* 2 x)) 1) (expm1.f64 (+.f64 x x)))
#s(approx (exp (* 2 x)) (exp.f64 (+.f64 x x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp x) (exp.f64 x))

eval20.0ms (0.9%)

Memory: -38.2MiB live, 26.2MiB allocated; 10ms collecting garbage
Compiler: Compiled 1 280 to 622 computations (51.4% saved)

prune7.0ms (0.3%)

Memory

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

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	135	8	143
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	8	144

Accuracy

100.0%

Counts

144 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.4%	(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x))))
▶	100.0%	(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
▶	66.0%	(sqrt.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 (neg.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))
▶	99.4%	(sqrt.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
	66.2%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
	64.3%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
▶	70.7%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
▶	63.7%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 190 to 188 computations (1.1% saved)

series21.0ms (0.9%)

Memory

-16.7MiB live, 28.2MiB allocated; 7ms collecting garbage

Counts

32 → 80

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
x
#s(literal -1 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
#s(literal 1 binary64)
(expm1.f64 x)
(sqrt.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 (neg.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 (neg.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 (neg.f64 x))))
(neg.f64 (expm1.f64 (neg.f64 (+.f64 x x))))
(expm1.f64 (neg.f64 (+.f64 x x)))
(neg.f64 (+.f64 x x))
(neg.f64 (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))
(exp.f64 (+.f64 x x))

Outputs
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (- (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 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 x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -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 x #s(hole binary64 x))
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) #s(hole binary64 (/ 2 (sqrt 2))))
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) #s(hole binary64 (+ (* 1/2 (/ x (sqrt 2))) (* 2 (/ 1 (sqrt 2))))))
#s(approx (+ 2 (* 1/2 x)) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* -1/2 x)) x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (- (* 1/12 x) 1/2))) x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) 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 (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) #s(hole binary64 (+ 2 (* -1 x))))
#s(approx (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) #s(hole binary64 (+ 2 (* x (- (* 1/2 x) 1)))))
#s(approx (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) #s(hole binary64 (+ 2 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg (- (exp (neg (+ x x))) 1)) #s(hole binary64 (* x (+ 2 (* -2 x)))))
#s(approx (neg (- (exp (neg (+ x x))) 1)) #s(hole binary64 (* x (+ 2 (* x (- (* 4/3 x) 2))))))
#s(approx (neg (- (exp (neg (+ x x))) 1)) #s(hole binary64 (* x (+ 2 (* x (- (* x (+ 4/3 (* -2/3 x))) 2))))))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (* -2 x)))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (* x (- (* 2 x) 2))))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (* x (- (* x (+ 2 (* -4/3 x))) 2))))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (* x (- (* x (+ 2 (* x (- (* 2/3 x) 4/3)))) 2))))
#s(approx (neg (- (exp (neg x)) 1)) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (neg (- (exp (neg x)) 1)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/6 x) 1/2))))))
#s(approx (neg (- (exp (neg x)) 1)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* -1 x)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* 1/2 x) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (sqrt (+ 1 (exp x)))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp 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 (/ (+ 2 (* 1/2 x)) (sqrt 2)) #s(hole binary64 (* 1/2 (/ x (sqrt 2)))))
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 (sqrt 2))) (* 2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ 2 (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* 2 (/ 1 x))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ 1 (- (exp x) 1))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (sqrt (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x)))) #s(hole binary64 (sqrt (/ (* (exp (* 2 x)) (- 1 (exp (neg (* 2 x))))) (* (exp x) (- 1 (exp (neg x))))))))
#s(approx (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x))) #s(hole binary64 (/ (* (exp (* 2 x)) (- 1 (exp (neg (* 2 x))))) (* (exp x) (- 1 (exp (neg x)))))))
#s(approx (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) #s(hole binary64 (/ (- 1 (exp (neg (* 2 x)))) (- 1 (exp (neg x))))))
#s(approx (neg (- (exp (neg (+ x x))) 1)) #s(hole binary64 (- 1 (exp (neg (* 2 x))))))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (- (exp (neg (* 2 x))) 1)))
#s(approx (neg (- (exp (neg x)) 1)) #s(hole binary64 (- 1 (exp (neg x)))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (neg x)) 1)))
#s(approx (/ (exp (+ x x)) (exp x)) #s(hole binary64 (/ (exp (* 2 x)) (exp x))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (sqrt (* (- (exp (+ x x)) 1) (/ 1 (- (exp x) 1)))) #s(hole binary64 (sqrt (/ (- (exp (neg (* -2 x))) 1) (- (exp x) 1)))))
#s(approx (* (- (exp (+ x x)) 1) (/ 1 (- (exp x) 1))) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (- (exp x) 1))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))
#s(approx (sqrt (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x)))) #s(hole binary64 (sqrt (/ (* (exp (neg (* -2 x))) (- 1 (exp (* -2 x)))) (* (exp x) (- 1 (exp (* -1 x))))))))
#s(approx (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x))) #s(hole binary64 (/ (* (exp (neg (* -2 x))) (- 1 (exp (* -2 x)))) (* (exp x) (- 1 (exp (* -1 x)))))))
#s(approx (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) #s(hole binary64 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -1 x))))))
#s(approx (neg (- (exp (neg (+ x x))) 1)) #s(hole binary64 (- 1 (exp (* -2 x)))))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (- (exp (* -2 x)) 1)))
#s(approx (neg (- (exp (neg x)) 1)) #s(hole binary64 (- 1 (exp (* -1 x)))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (* -1 x)) 1)))
#s(approx (/ (exp (+ x x)) (exp x)) #s(hole binary64 (/ (exp (neg (* -2 x))) (exp x))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	((sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ 2 (* 1/2 x)) (sqrt 2)) (+ 2 (* 1/2 x)) (* 1/2 x) 1/2 (sqrt 2) (sqrt (* (- (exp (+ x x)) 1) (/ 1 (- (exp x) 1)))) (* (- (exp (+ x x)) 1) (/ 1 (- (exp x) 1))) (- (exp (+ x x)) 1) (+ x x) (/ 1 (- (exp x) 1)) 1 (- (exp x) 1) (sqrt (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x)))) (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x))) (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (neg (- (exp (neg (+ x x))) 1)) (- (exp (neg (+ x x))) 1) (neg (+ x x)) (neg (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp (+ x x)) (exp x)) (exp (+ x x)))
6.0ms	x	@	-inf	((sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ 2 (* 1/2 x)) (sqrt 2)) (+ 2 (* 1/2 x)) (* 1/2 x) 1/2 (sqrt 2) (sqrt (* (- (exp (+ x x)) 1) (/ 1 (- (exp x) 1)))) (* (- (exp (+ x x)) 1) (/ 1 (- (exp x) 1))) (- (exp (+ x x)) 1) (+ x x) (/ 1 (- (exp x) 1)) 1 (- (exp x) 1) (sqrt (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x)))) (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x))) (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (neg (- (exp (neg (+ x x))) 1)) (- (exp (neg (+ x x))) 1) (neg (+ x x)) (neg (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp (+ x x)) (exp x)) (exp (+ x x)))
2.0ms	x	@	0	((sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ 2 (* 1/2 x)) (sqrt 2)) (+ 2 (* 1/2 x)) (* 1/2 x) 1/2 (sqrt 2) (sqrt (* (- (exp (+ x x)) 1) (/ 1 (- (exp x) 1)))) (* (- (exp (+ x x)) 1) (/ 1 (- (exp x) 1))) (- (exp (+ x x)) 1) (+ x x) (/ 1 (- (exp x) 1)) 1 (- (exp x) 1) (sqrt (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x)))) (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x))) (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (neg (- (exp (neg (+ x x))) 1)) (- (exp (neg (+ x x))) 1) (neg (+ x x)) (neg (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp (+ x x)) (exp x)) (exp (+ x x)))

Time

Variable

Point

Expression

11.0ms

inf

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

6.0ms

-inf

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

2.0ms

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

rewrite205.0ms (8.7%)

Memory

-2.5MiB live, 188.0MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	335	1488
0	379	1137
1	2430	1127
0	8506	1046

Stop Event

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

Counts

112 → 709

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
x
#s(literal -1 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
#s(literal 1 binary64)
(expm1.f64 x)
(sqrt.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 (neg.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 (neg.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 (neg.f64 x))))
(neg.f64 (expm1.f64 (neg.f64 (+.f64 x x))))
(expm1.f64 (neg.f64 (+.f64 x x)))
(neg.f64 (+.f64 x x))
(neg.f64 (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))
(exp.f64 (+.f64 x x))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (- (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 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 x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -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 x #s(hole binary64 x))
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) #s(hole binary64 (/ 2 (sqrt 2))))
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) #s(hole binary64 (+ (* 1/2 (/ x (sqrt 2))) (* 2 (/ 1 (sqrt 2))))))
#s(approx (+ 2 (* 1/2 x)) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* -1/2 x)) x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (- (* 1/12 x) 1/2))) x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) 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 (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) #s(hole binary64 (+ 2 (* -1 x))))
#s(approx (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) #s(hole binary64 (+ 2 (* x (- (* 1/2 x) 1)))))
#s(approx (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) #s(hole binary64 (+ 2 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg (- (exp (neg (+ x x))) 1)) #s(hole binary64 (* x (+ 2 (* -2 x)))))
#s(approx (neg (- (exp (neg (+ x x))) 1)) #s(hole binary64 (* x (+ 2 (* x (- (* 4/3 x) 2))))))
#s(approx (neg (- (exp (neg (+ x x))) 1)) #s(hole binary64 (* x (+ 2 (* x (- (* x (+ 4/3 (* -2/3 x))) 2))))))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (* -2 x)))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (* x (- (* 2 x) 2))))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (* x (- (* x (+ 2 (* -4/3 x))) 2))))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (* x (- (* x (+ 2 (* x (- (* 2/3 x) 4/3)))) 2))))
#s(approx (neg (- (exp (neg x)) 1)) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (neg (- (exp (neg x)) 1)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/6 x) 1/2))))))
#s(approx (neg (- (exp (neg x)) 1)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* -1 x)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* 1/2 x) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (sqrt (+ 1 (exp x)))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp 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 (/ (+ 2 (* 1/2 x)) (sqrt 2)) #s(hole binary64 (* 1/2 (/ x (sqrt 2)))))
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 (sqrt 2))) (* 2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ 2 (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* 2 (/ 1 x))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ 1 (- (exp x) 1))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (sqrt (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x)))) #s(hole binary64 (sqrt (/ (* (exp (* 2 x)) (- 1 (exp (neg (* 2 x))))) (* (exp x) (- 1 (exp (neg x))))))))
#s(approx (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x))) #s(hole binary64 (/ (* (exp (* 2 x)) (- 1 (exp (neg (* 2 x))))) (* (exp x) (- 1 (exp (neg x)))))))
#s(approx (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) #s(hole binary64 (/ (- 1 (exp (neg (* 2 x)))) (- 1 (exp (neg x))))))
#s(approx (neg (- (exp (neg (+ x x))) 1)) #s(hole binary64 (- 1 (exp (neg (* 2 x))))))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (- (exp (neg (* 2 x))) 1)))
#s(approx (neg (- (exp (neg x)) 1)) #s(hole binary64 (- 1 (exp (neg x)))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (neg x)) 1)))
#s(approx (/ (exp (+ x x)) (exp x)) #s(hole binary64 (/ (exp (* 2 x)) (exp x))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (sqrt (* (- (exp (+ x x)) 1) (/ 1 (- (exp x) 1)))) #s(hole binary64 (sqrt (/ (- (exp (neg (* -2 x))) 1) (- (exp x) 1)))))
#s(approx (* (- (exp (+ x x)) 1) (/ 1 (- (exp x) 1))) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (- (exp x) 1))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))
#s(approx (sqrt (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x)))) #s(hole binary64 (sqrt (/ (* (exp (neg (* -2 x))) (- 1 (exp (* -2 x)))) (* (exp x) (- 1 (exp (* -1 x))))))))
#s(approx (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x))) #s(hole binary64 (/ (* (exp (neg (* -2 x))) (- 1 (exp (* -2 x)))) (* (exp x) (- 1 (exp (* -1 x)))))))
#s(approx (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) #s(hole binary64 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -1 x))))))
#s(approx (neg (- (exp (neg (+ x x))) 1)) #s(hole binary64 (- 1 (exp (* -2 x)))))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (- (exp (* -2 x)) 1)))
#s(approx (neg (- (exp (neg x)) 1)) #s(hole binary64 (- 1 (exp (* -1 x)))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (* -1 x)) 1)))
#s(approx (/ (exp (+ x x)) (exp x)) #s(hole binary64 (/ (exp (neg (* -2 x))) (exp x))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))

Outputs
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x #s(literal 0 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x #s(literal 0 binary64)))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (exp.f64 (-.f64 (+.f64 x x) x))) (sqrt.f64 (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x)) (expm1.f64 (neg.f64 x)))))
(.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x)) (expm1.f64 (neg.f64 x)))) (sqrt.f64 (exp.f64 (-.f64 (+.f64 x x) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 (+.f64 x x))))
(.f64 (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x))) (expm1.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x))))
(.f64 (exp.f64 x) (sqrt.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x))) (expm1.f64 x))))
(pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (.f64 (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x)) (expm1.f64 (neg.f64 x))) (exp.f64 (+.f64 x x)))) (sqrt.f64 (exp.f64 x)))
(/.f64 (sqrt.f64 (.f64 (neg.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x))) (exp.f64 (-.f64 (+.f64 x x) x)))) (sqrt.f64 (neg.f64 (expm1.f64 (neg.f64 x)))))
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (exp.f64 x))) (sqrt.f64 (neg.f64 (expm1.f64 (neg.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x))))))
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(/.f64 (neg.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)))))))
(/.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (expm1.f64 (neg.f64 x))))
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(expm1.f64 (neg.f64 x))
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)))))))
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(+.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 x)))
(pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64))) x)
(pow.f64 (exp.f64 (-.f64 x (+.f64 x x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 (neg.f64 (exp.f64 (+.f64 x x))) (neg.f64 (exp.f64 x)))
(/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (+.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 x (+.f64 x x)))))
(-.f64 (/.f64 (cosh.f64 (+.f64 x x)) (exp.f64 x)) (/.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 x)))
(fabs.f64 (exp.f64 (-.f64 (+.f64 x x) x)))
(exp.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 x)))
(exp.f64 (-.f64 (+.f64 x x) x))
(+.f64 (/.f64 (cosh.f64 (+.f64 x x)) (exp.f64 x)) (/.f64 (sinh.f64 (+.f64 x x)) (exp.f64 x)))
(+.f64 (cosh.f64 (-.f64 (+.f64 x x) x)) (sinh.f64 (-.f64 (+.f64 x x) x)))
(*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) (exp.f64 x))
(pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x))) x)
(pow.f64 (exp.f64 #s(literal -2 binary64)) (neg.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) x)
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)) (fma.f64 (sinh.f64 (.f64 #s(literal -2 binary64) x)) (sinh.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(sqrt.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))))
(-.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x)))
(fabs.f64 (-.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) (cosh.f64 (+.f64 x x))))
(fabs.f64 (neg.f64 (exp.f64 (+.f64 x x))))
(fabs.f64 (exp.f64 (+.f64 x x)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x))
(exp.f64 (+.f64 x x))
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))
#s(approx (sqrt (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x)))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x)))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 7/96 binary64) x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x))) #s(literal 2 binary64))
#s(approx (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x))) (+.f64 #s(literal 2 binary64) x))
#s(approx (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ 2 (* 1/2 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (exp (+ x x)) 1) (+.f64 x x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.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)) x))
#s(approx (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (+.f64 (neg.f64 x) #s(literal 2 binary64)))
#s(approx (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 2 binary64)))
#s(approx (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 2 binary64)))
#s(approx (neg (- (exp (neg (+ x x))) 1)) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x))
#s(approx (neg (- (exp (neg (+ x x))) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (neg (- (exp (neg (+ x x))) 1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (neg (+ x x))) 1) (*.f64 #s(literal -2 binary64) x))
#s(approx (- (exp (neg (+ x x))) 1) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))
#s(approx (- (exp (neg (+ x x))) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x))
#s(approx (- (exp (neg (+ x x))) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x))
#s(approx (neg (- (exp (neg x)) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (neg (- (exp (neg x)) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (neg (- (exp (neg x)) 1)) (*.f64 (fma.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)) x))
#s(approx (- (exp (neg x)) 1) (neg.f64 x))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.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)) x))
#s(approx (exp (+ x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x)))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (sqrt (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x)))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
#s(approx (+ 2 (* 1/2 x)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (+.f64 x x)))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (sqrt (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x)))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (neg.f64 x))))
#s(approx (neg (- (exp (neg (+ x x))) 1)) (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (- (exp (neg (+ x x))) 1) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (neg (- (exp (neg x)) 1)) (neg.f64 (expm1.f64 (neg.f64 x))))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (/ (exp (+ x x)) (exp x)) (exp.f64 (-.f64 (+.f64 x x) x)))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (sqrt (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x)))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (+.f64 x x)))
#s(approx (sqrt (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x)))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (* (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/ (exp (+ x x)) (exp x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (/ (neg (- (exp (neg (+ x x))) 1)) (neg (- (exp (neg x)) 1))) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (neg.f64 x))))
#s(approx (neg (- (exp (neg (+ x x))) 1)) (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (- (exp (neg (+ x x))) 1) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (neg (- (exp (neg x)) 1)) (neg.f64 (expm1.f64 (neg.f64 x))))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (/ (exp (+ x x)) (exp x)) (exp.f64 (-.f64 (+.f64 x x) x)))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))

eval57.0ms (2.4%)

Memory: 36.5MiB live, 80.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 5 199 to 2 227 computations (57.2% saved)

prune29.0ms (1.2%)

Memory

-21.6MiB live, 22.3MiB allocated; 10ms collecting garbage

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	482	5	487
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	485	10	495

Accuracy

100.0%

Counts

495 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
▶	100.0%	(sqrt.f64 (-.f64 (sqrt.f64 (exp.f64 (+.f64 x x))) #s(literal -1 binary64)))
✓	100.0%	(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
▶	64.3%	(sqrt.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
✓	99.4%	(sqrt.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
	66.2%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
▶	64.3%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
✓	70.7%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
▶	63.7%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
▶	3.0%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))

Compiler

Compiled 205 to 205 computations (0% saved)

series11.0ms (0.5%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Counts

26 → 40

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((sqrt (- (sqrt (exp (+ x x))) -1)) (- (sqrt (exp (+ x x))) -1) (sqrt (exp (+ x x))) (exp (+ x x)) (+ x x) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- x -2) -2 (sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) (+ 1 x) 1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ 2 (* 1/2 x)) (sqrt 2)) (* (/ x (sqrt 2)) 1/2) (/ x (sqrt 2)) (sqrt 2) 2 1/2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ (* x 1/2) 2) (sqrt 2)) (+ (* x 1/2) 2))
3.0ms	x	@	-inf	((sqrt (- (sqrt (exp (+ x x))) -1)) (- (sqrt (exp (+ x x))) -1) (sqrt (exp (+ x x))) (exp (+ x x)) (+ x x) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- x -2) -2 (sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) (+ 1 x) 1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ 2 (* 1/2 x)) (sqrt 2)) (* (/ x (sqrt 2)) 1/2) (/ x (sqrt 2)) (sqrt 2) 2 1/2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ (* x 1/2) 2) (sqrt 2)) (+ (* x 1/2) 2))
2.0ms	x	@	0	((sqrt (- (sqrt (exp (+ x x))) -1)) (- (sqrt (exp (+ x x))) -1) (sqrt (exp (+ x x))) (exp (+ x x)) (+ x x) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- x -2) -2 (sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) (+ 1 x) 1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ 2 (* 1/2 x)) (sqrt 2)) (* (/ x (sqrt 2)) 1/2) (/ x (sqrt 2)) (sqrt 2) 2 1/2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ (* x 1/2) 2) (sqrt 2)) (+ (* x 1/2) 2))

Time

Variable

Point

Expression

5.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

rewrite184.0ms (7.8%)

Memory

-15.9MiB live, 171.4MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	791
0	189	688
1	1224	568
0	8545	546

Stop Event

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

Counts

66 → 458

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x #s(literal 0 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x #s(literal 0 binary64)))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1/2 binary64)))
(pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x))))))
(/.f64 (sqrt.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(fabs.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x #s(literal 0 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (exp.f64 x))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) #s(literal -1 binary64))
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x)) #s(literal 1 binary64)) (expm1.f64 x))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (expm1.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))))) (expm1.f64 x)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
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(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 2 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 7/96 binary64) x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(approx (- (exp x) -1) (-.f64 x #s(literal -2 binary64)))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx x x)
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ x (sqrt 2)) 1/2) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ x (sqrt 2)) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* x 1/2) 2) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (- (exp x) -1) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (- (exp x) -1) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (- x -2) (-.f64 x #s(literal -2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (- (exp x) -1) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
#s(approx (+ (* x 1/2) 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* x 1/2) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (- (exp x) -1) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))

eval56.0ms (2.4%)

Memory: -1.4MiB live, 101.5MiB allocated; 14ms collecting garbage
Compiler: Compiled 4 335 to 2 060 computations (52.5% saved)

prune10.0ms (0.4%)

Memory

23.8MiB live, 23.8MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	467	1	468
Fresh	0	2	2
Picked	1	4	5
Done	0	3	3
Total	468	10	478

Accuracy

100.0%

Counts

478 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
▶	66.4%	(sqrt.f64 (-.f64 (sqrt.f64 #s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))) #s(literal -1 binary64)))
✓	100.0%	(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
✓	64.3%	(sqrt.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
✓	99.4%	(sqrt.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
▶	66.2%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
✓	64.3%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
✓	70.7%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
✓	63.7%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	3.0%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))

Compiler

Compiled 120 to 120 computations (0% saved)

series31.0ms (1.3%)

Memory

-35.3MiB live, 11.6MiB allocated; 2ms collecting garbage

Counts

21 → 65

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
#s(literal 2 binary64)
(sqrt.f64 (-.f64 (sqrt.f64 #s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (sqrt.f64 #s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))) #s(literal -1 binary64))
(sqrt.f64 #s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(sqrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))
(expm1.f64 x)
(expm1.f64 (+.f64 x x))
(+.f64 x 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 (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (exp (+ x x))) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (exp (+ x x))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (sqrt (exp (+ x x))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ (* 2 x) 2) #s(hole binary64 (+ 2 (* 2 x))))
#s(approx (/ 1 (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1)))) #s(hole binary64 (/ 1 (sqrt 1/2))))
#s(approx (/ 1 (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1)))) #s(hole binary64 (+ (* 1/8 (/ x (pow (sqrt 1/2) 3))) (/ 1 (sqrt 1/2)))))
#s(approx (/ 1 (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1)))) #s(hole binary64 (+ (* x (+ (* 3/128 (/ x (pow (sqrt 1/2) 5))) (* 1/8 (/ 1 (pow (sqrt 1/2) 3))))) (/ 1 (sqrt 1/2)))))
#s(approx (/ 1 (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1)))) #s(hole binary64 (+ (* x (+ (* x (+ (* x (- (* 1/256 (/ 1 (pow (sqrt 1/2) 7))) (* 1/2 (/ (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4)))) (pow (sqrt 1/2) 3))))) (* 3/128 (/ 1 (pow (sqrt 1/2) 5))))) (* 1/8 (/ 1 (pow (sqrt 1/2) 3))))) (/ 1 (sqrt 1/2)))))
#s(approx (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ x (sqrt 1/2))))))
#s(approx (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* 1/2 (/ (* x (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) #s(hole binary64 1/2))
#s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) #s(hole binary64 (+ 1/2 (* -1/4 x))))
#s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) #s(hole binary64 (+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) #s(hole binary64 (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))))
#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 x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 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 (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (sqrt (- (sqrt (exp (+ x x))) -1)) #s(hole binary64 (sqrt (+ 1 (sqrt (exp (* 2 x)))))))
#s(approx (- (sqrt (exp (+ x x))) -1) #s(hole binary64 (+ 1 (sqrt (exp (* 2 x))))))
#s(approx (sqrt (exp (+ x x))) #s(hole binary64 (sqrt (exp (* 2 x)))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (+ (* (+ (* 2 x) 2) x) 1) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* (+ (* 2 x) 2) x) 1) #s(hole binary64 (* (pow x 2) (+ 2 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* 2 x) 2) x) 1) #s(hole binary64 (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 2 x) 2) #s(hole binary64 (* x (+ 2 (* 2 (/ 1 x))))))
#s(approx (/ 1 (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1)))) #s(hole binary64 (/ 1 (sqrt (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))))
#s(approx (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) #s(hole binary64 (sqrt (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))))
#s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (sqrt (- (sqrt (exp (+ x x))) -1)) #s(hole binary64 (sqrt (+ 1 (sqrt (exp (neg (* -2 x))))))))
#s(approx (- (sqrt (exp (+ x x))) -1) #s(hole binary64 (+ 1 (sqrt (exp (neg (* -2 x)))))))
#s(approx (sqrt (exp (+ x x))) #s(hole binary64 (sqrt (exp (neg (* -2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
#s(approx (/ 1 (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1)))) #s(hole binary64 (/ 1 (sqrt (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))))))
#s(approx (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) #s(hole binary64 (sqrt (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1)))))
#s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1/2 x 1 2 (sqrt (- (sqrt (exp (+ x x))) -1)) (- (sqrt (exp (+ x x))) -1) (sqrt (exp (+ x x))) (exp (+ x x)) (+ (* (+ (* 2 x) 2) x) 1) (+ (* 2 x) 2) -1 (/ 1 (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1)))) (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) (/ (- (exp x) 1) (- (exp (+ x x)) 1)) (- (exp x) 1) (- (exp (+ x x)) 1) (+ x x))
3.0ms	x	@	-inf	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1/2 x 1 2 (sqrt (- (sqrt (exp (+ x x))) -1)) (- (sqrt (exp (+ x x))) -1) (sqrt (exp (+ x x))) (exp (+ x x)) (+ (* (+ (* 2 x) 2) x) 1) (+ (* 2 x) 2) -1 (/ 1 (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1)))) (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) (/ (- (exp x) 1) (- (exp (+ x x)) 1)) (- (exp x) 1) (- (exp (+ x x)) 1) (+ x x))
2.0ms	x	@	0	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1/2 x 1 2 (sqrt (- (sqrt (exp (+ x x))) -1)) (- (sqrt (exp (+ x x))) -1) (sqrt (exp (+ x x))) (exp (+ x x)) (+ (* (+ (* 2 x) 2) x) 1) (+ (* 2 x) 2) -1 (/ 1 (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1)))) (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) (/ (- (exp x) 1) (- (exp (+ x x)) 1)) (- (exp x) 1) (- (exp (+ x x)) 1) (+ x x))

Time

Variable

Point

Expression

25.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

rewrite210.0ms (8.9%)

Memory

4.2MiB live, 142.3MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1324
0	309	1155
1	2190	989
0	9207	946

Stop Event

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

Counts

86 → 338

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
#s(literal 2 binary64)
(sqrt.f64 (-.f64 (sqrt.f64 #s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (sqrt.f64 #s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))) #s(literal -1 binary64))
(sqrt.f64 #s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(sqrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))
(expm1.f64 x)
(expm1.f64 (+.f64 x x))
(+.f64 x 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 (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (exp (+ x x))) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (exp (+ x x))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (sqrt (exp (+ x x))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ (* 2 x) 2) #s(hole binary64 (+ 2 (* 2 x))))
#s(approx (/ 1 (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1)))) #s(hole binary64 (/ 1 (sqrt 1/2))))
#s(approx (/ 1 (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1)))) #s(hole binary64 (+ (* 1/8 (/ x (pow (sqrt 1/2) 3))) (/ 1 (sqrt 1/2)))))
#s(approx (/ 1 (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1)))) #s(hole binary64 (+ (* x (+ (* 3/128 (/ x (pow (sqrt 1/2) 5))) (* 1/8 (/ 1 (pow (sqrt 1/2) 3))))) (/ 1 (sqrt 1/2)))))
#s(approx (/ 1 (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1)))) #s(hole binary64 (+ (* x (+ (* x (+ (* x (- (* 1/256 (/ 1 (pow (sqrt 1/2) 7))) (* 1/2 (/ (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4)))) (pow (sqrt 1/2) 3))))) (* 3/128 (/ 1 (pow (sqrt 1/2) 5))))) (* 1/8 (/ 1 (pow (sqrt 1/2) 3))))) (/ 1 (sqrt 1/2)))))
#s(approx (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ x (sqrt 1/2))))))
#s(approx (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* 1/2 (/ (* x (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) #s(hole binary64 1/2))
#s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) #s(hole binary64 (+ 1/2 (* -1/4 x))))
#s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) #s(hole binary64 (+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) #s(hole binary64 (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))))
#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 x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 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 (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (sqrt (- (sqrt (exp (+ x x))) -1)) #s(hole binary64 (sqrt (+ 1 (sqrt (exp (* 2 x)))))))
#s(approx (- (sqrt (exp (+ x x))) -1) #s(hole binary64 (+ 1 (sqrt (exp (* 2 x))))))
#s(approx (sqrt (exp (+ x x))) #s(hole binary64 (sqrt (exp (* 2 x)))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (+ (* (+ (* 2 x) 2) x) 1) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* (+ (* 2 x) 2) x) 1) #s(hole binary64 (* (pow x 2) (+ 2 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* 2 x) 2) x) 1) #s(hole binary64 (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 2 x) 2) #s(hole binary64 (* x (+ 2 (* 2 (/ 1 x))))))
#s(approx (/ 1 (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1)))) #s(hole binary64 (/ 1 (sqrt (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))))
#s(approx (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) #s(hole binary64 (sqrt (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))))
#s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (sqrt (- (sqrt (exp (+ x x))) -1)) #s(hole binary64 (sqrt (+ 1 (sqrt (exp (neg (* -2 x))))))))
#s(approx (- (sqrt (exp (+ x x))) -1) #s(hole binary64 (+ 1 (sqrt (exp (neg (* -2 x)))))))
#s(approx (sqrt (exp (+ x x))) #s(hole binary64 (sqrt (exp (neg (* -2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
#s(approx (/ 1 (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1)))) #s(hole binary64 (/ 1 (sqrt (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))))))
#s(approx (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) #s(hole binary64 (sqrt (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1)))))
#s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))

Outputs
(pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))))
(fabs.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal 4 binary64))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) (neg.f64 (-.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal 4 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (-.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal -2 binary64))
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(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (+.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))))
(+.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 x x))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64)))))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(expm1.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64)))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 x x)))) (exp.f64 (+.f64 x x)))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))) (.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))))))
(/.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))))
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (/.f64 (+.f64 x x) #s(literal 2 binary64))))
(expm1.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)))
(expm1.f64 (*.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x))
(expm1.f64 (+.f64 x x))
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))))))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x x (*.f64 x (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 x x (-.f64 (.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x x)) (/.f64 (.f64 x x) (-.f64 x x)))
(-.f64 x (neg.f64 x))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))))
(+.f64 x x)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 7/96 binary64) x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 x #s(literal 2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (sqrt (exp (+ x x))) (+.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (exp (+ x x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (exp (+ x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(approx (exp (+ x x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 #s(approx (exp (+ x x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 #s(approx (exp (+ x x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))) (sqrt.f64 #s(approx (exp (+ x x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))))
(pow.f64 (*.f64 #s(approx (exp (+ x x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64))) #s(approx (exp (+ x x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (exp (+ x x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 #s(approx (exp (+ x x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(approx (exp (+ x x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64))) #s(approx (exp (+ x x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))))
(fabs.f64 #s(approx (exp (+ x x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64))))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 2 x) 2) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (/.f64 x (.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3/128 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -7/2 binary64)) #s(literal 1/256 binary64)) (/.f64 #s(literal 5/768 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) x (/.f64 #s(literal 3/128 binary64) (.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))))) x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) (fma.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) (fma.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 5/384 binary64) x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 1/64 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64))
#s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))
#s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.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)) x))
#s(approx (- (exp (+ x x)) 1) (+.f64 x x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (+.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (sqrt (exp (+ x x))) (exp.f64 x))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (+ (* (+ (* 2 x) 2) x) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 2 x) 2) x) 1) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* 2 x) 2) x) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (+ (* 2 x) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
#s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (+.f64 x x)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (sqrt (exp (+ x x))) (exp.f64 x))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (sqrt (/ (- (exp x) 1) (- (exp (+ x x)) 1))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
#s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (+.f64 x x)))

eval39.0ms (1.6%)

Memory: 28.2MiB live, 71.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 3 481 to 1 586 computations (54.4% saved)

prune15.0ms (0.6%)

Memory

-14.5MiB live, 29.8MiB allocated; 5ms collecting garbage

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	297	5	302
Fresh	0	0	0
Picked	1	2	3
Done	2	5	7
Total	300	12	312

Accuracy

100.0%

Counts

312 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.8%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))))
	65.8%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/2 binary64)))))
	69.8%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64))))
✓	66.4%	(sqrt.f64 (-.f64 (sqrt.f64 #s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))) #s(literal -1 binary64)))
✓	100.0%	(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
✓	64.3%	(sqrt.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
✓	99.4%	(sqrt.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
✓	66.2%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
✓	64.3%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
	4.0%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))))
	5.0%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
✓	70.7%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))

Compiler

Compiled 333 to 277 computations (16.8% saved)

regimes14.0ms (0.6%)

Memory

32.0MiB live, 32.0MiB allocated; 0ms collecting garbage

Counts

20 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64))))
(sqrt.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(sqrt.f64 (-.f64 (sqrt.f64 #s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))))
(sqrt.f64 (-.f64 (sqrt.f64 (exp.f64 (+.f64 x x))) #s(literal -1 binary64)))
(sqrt.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x))))
(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 (*.f64 (/.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 (neg.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))

Outputs
(sqrt.f64 (-.f64 (sqrt.f64 (exp.f64 (+.f64 x x))) #s(literal -1 binary64)))

Calls

3 calls:

5.0ms

4.0ms

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

4.0ms

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

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 22 to 20 computations (9.1% saved)

regimes20.0ms (0.9%)

Memory

-41.5MiB live, 21.8MiB allocated; 18ms collecting garbage

Counts

14 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64))))
(sqrt.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(sqrt.f64 (-.f64 (sqrt.f64 #s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ (- (exp x) 1) (- (exp (+ x x)) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))))

Outputs
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))

Calls

3 calls:

14.0ms

3.0ms

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

3.0ms

(/.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 22 to 20 computations (9.1% saved)

regimes9.0ms (0.4%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Accuracy

Total -44.3b remaining (-236.4%)

Threshold costs -44.3b (-236.4%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
70.7%	1	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
70.7%	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))))`
70.7%	1	`x`

Compiler

Compiled 22 to 20 computations (9.1% saved)

derivations64.0ms (2.7%)

Memory

-29.1MiB live, 62.6MiB allocated; 7ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 21 to 21 computations (0% saved)

preprocess20.0ms (0.9%)

Memory: 42.6MiB live, 42.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 32 to 31 computations (3.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.1s (47.1%)

preprocess55.0ms (2.3%)

series5.0ms (0.2%)

rewrite167.0ms (7.1%)

eval20.0ms (0.9%)

prune7.0ms (0.3%)

series21.0ms (0.9%)

rewrite205.0ms (8.7%)

eval57.0ms (2.4%)

prune29.0ms (1.2%)

series11.0ms (0.5%)

rewrite184.0ms (7.8%)

eval56.0ms (2.4%)

prune10.0ms (0.4%)

series31.0ms (1.3%)

rewrite210.0ms (8.9%)

eval39.0ms (1.6%)

prune15.0ms (0.6%)

regimes14.0ms (0.6%)

regimes20.0ms (0.9%)

regimes9.0ms (0.4%)

derivations64.0ms (2.7%)

preprocess20.0ms (0.9%)

end0.0ms (0%)

Profiling