Metrics for Hyperbolic sine

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 10 to 9 computations (10% saved)

sample1.8s (49.8%)

Memory

-34.3MiB live, 2 472.2MiB allocated; 480ms collecting garbage

Samples

802.0ms	1 640×	2	valid
417.0ms	2 389×	1	valid
216.0ms	4 227×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-exp: 874.0ms (71.4% of total)

ival-div!: 151.0ms (12.3% of total)

adjust: 121.0ms (9.9% of total)

ival-sub!: 44.0ms (3.6% of total)

ival-neg: 35.0ms (2.9% of total)

Bogosity

preprocess45.0ms (1.3%)

Memory

29.8MiB live, 75.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	62	7
2	260	7

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.3%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Symmetry

(negabs x)

Compiler

Compiled 14 to 14 computations (0% saved)

series15.0ms (0.4%)

Memory

-16.1MiB live, 29.5MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	323

Stop Event

1×	iter-limit

Counts

7 → 23

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (exp x) (exp (neg x))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (exp x) (exp (neg x))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (pow.f64 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) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
#s(approx (- (exp x) (exp (neg x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))
#s(approx (- (exp x) (exp (neg x))) (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (exp (neg x)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)
1.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)
1.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

Time

Variable

Point

Expression

1.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

1.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

1.0ms

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

rewrite97.0ms (2.7%)

Memory

-18.4MiB live, 124.6MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	12	13
1	57	13
2	292	13
3	2815	13
0	5117	12

Stop Event

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

Counts

7 → 891

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)

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

eval60.0ms (1.7%)

Memory: 37.9MiB live, 76.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 217 to 530 computations (56.5% saved)

prune6.0ms (0.2%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	242	3	245
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	243	3	246

Accuracy

100.0%

Counts

246 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sinh.f64 x)
▶	49.8%	(exp.f64 x)
▶	55.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 12 to 12 computations (0% saved)

series12.0ms (0.3%)

Memory

-27.6MiB live, 13.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	172

Stop Event

1×	iter-limit

Counts

4 → 12

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
x
(exp.f64 x)
(sinh.f64 x)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (pow.f64 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) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
#s(approx (exp x) (exp.f64 x))
#s(approx (sinh x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) 2) x (exp x) (sinh x))
1.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) 2) x (exp x) (sinh x))
0.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) 2) x (exp x) (sinh x))

rewrite107.0ms (3%)

Memory

41.2MiB live, 130.1MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
0	11	9
1	56	9
2	291	9
3	2818	9
0	5119	9

Stop Event

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

Counts

4 → 446

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
x
(exp.f64 x)
(sinh.f64 x)

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

eval59.0ms (1.7%)

Memory: -4.9MiB live, 38.6MiB allocated; 13ms collecting garbage
Compiler: Compiled 1 086 to 461 computations (57.6% saved)

prune7.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	230	1	231
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	230	4	234

Accuracy

100.0%

Counts

234 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sinh.f64 x)
✓	49.8%	(exp.f64 x)
✓	55.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
▶	5.5%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 17 to 17 computations (0% saved)

series5.0ms (0.1%)

Memory

-45.1MiB live, 3.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	57

Stop Event

1×	iter-limit

Counts

4 → 7

Calls

Call 1

Inputs
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Outputs
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx x x)
#s(approx (exp x) (exp.f64 x))
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	((exp x) (+ 1 x) 1 x)
0.0ms	x	@	inf	((exp x) (+ 1 x) 1 x)
0.0ms	x	@	0	((exp x) (+ 1 x) 1 x)

rewrite143.0ms (4.1%)

Memory

-2.8MiB live, 195.4MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	6	11
1	32	11
2	98	11
3	362	11
4	3027	11
0	4017	11

Stop Event

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

Counts

4 → 52

Calls

Call 1

Inputs
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Outputs
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (-.f64 (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (neg.f64 x) (neg.f64 x))) (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(-.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))
(-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(+.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x

eval5.0ms (0.2%)

Memory: 13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 267 to 206 computations (22.8% saved)

prune3.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	54	5	59

Accuracy

100.0%

Counts

59 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sinh.f64 x)
✓	49.8%	(exp.f64 x)
✓	55.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
▶	5.5%	#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
▶	5.5%	#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))

Compiler

Compiled 25 to 25 computations (0% saved)

series6.0ms (0.2%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	277

Stop Event

1×	iter-limit

Counts

10 → 21

Calls

Call 1

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

Outputs
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx x x)
#s(approx (/ 2 (+ (* 2 x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (/ 2 (+ (* 2 x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ 2 (+ (* 2 x) 2)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))))
#s(approx (+ (* 2 x) 2) #s(literal 2 binary64))
#s(approx (+ (* 2 x) 2) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ 2 (+ (* 2 x) 2)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 2 (+ (* 2 x) 2)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ 2 (+ (* 2 x) 2)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ 2 (+ (* 2 x) 2)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x))
#s(approx (+ (* 2 x) 2) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) 2) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 2 (+ (* 2 x) 2)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (/ 2 (+ (* 2 x) 2)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)))
#s(approx (/ 2 (+ (* 2 x) 2)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite132.0ms (3.7%)

Memory

24.4MiB live, 197.3MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
0	16	32
1	82	32
2	294	32
3	1579	32
0	4073	31

Stop Event

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

Counts

10 → 1 127

Calls

Call 1

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

Outputs
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(*.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (pow.f64 #s(literal -2 binary64) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) #s(literal 1/4 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal -1/2 binary64))
(*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (+.f64 (fma.f64 (+.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (+.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (+.f64 x x) #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (+.f64 x x))) #s(literal -2 binary64))
(/.f64 (fma.f64 (+.f64 x x) #s(literal -1 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 x x)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x x) #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 8 binary64)) #s(literal -8 binary64))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (+.f64 x x)) #s(literal 4 binary64)) #s(literal 8 binary64)) #s(literal -8 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (+.f64 x x)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (+.f64 x x)) #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (+.f64 x x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 8 binary64)) #s(literal -8 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 8 binary64) (.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) x))) #s(literal 8 binary64))
(/.f64 (-.f64 #s(literal -8 binary64) (*.f64 #s(literal 4 binary64) (+.f64 x x))) #s(literal -8 binary64))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x))) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal -4 binary64) (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) x))) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 x x))) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (+.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (+.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 4 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal -2 binary64))
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(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 x x)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x)))
(-.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))
(-.f64 x (-.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 x (+.f64 (neg.f64 x) #s(literal -2 binary64)))
(-.f64 x (neg.f64 (-.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) x)
(+.f64 (/.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -2 binary64))) x)
(+.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (-.f64 x #s(literal -2 binary64)) x)
(+.f64 (+.f64 x x) #s(literal 2 binary64))
(+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))))
(+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (+.f64 x x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
(+.f64 x (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 x (/.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -2 binary64))))
(+.f64 x (*.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 x (-.f64 x #s(literal -2 binary64)))

eval131.0ms (3.7%)

Memory: 16.4MiB live, 233.9MiB allocated; 82ms collecting garbage
Compiler: Compiled 5 142 to 2 601 computations (49.4% saved)

prune32.0ms (0.9%)

Memory

4.5MiB live, 52.7MiB allocated; 24ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	741	1	742
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	742	5	747

Accuracy

100.0%

Counts

747 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sinh.f64 x)
✓	49.8%	(exp.f64 x)
✓	55.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
	55.0%	#s(approx (exp x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 x) 2)) (/.f64 #s(literal 1 binary64) x))))
✓	5.5%	#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))

Compiler

Compiled 63 to 60 computations (4.8% saved)

regimes13.0ms (0.4%)

Memory

-22.1MiB live, 25.6MiB allocated; 7ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

Outputs
(sinh.f64 x)

Calls

3 calls:

8.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
3.0ms	x
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
(exp.f64 x)

Calls

3 calls:

2.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.5%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
99.5%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
99.5%	2	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Accuracy

Total -31.8b remaining (-110.8%)

Threshold costs -31.8b (-110.8%)

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Calls

3 calls:

2.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
55.2%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
55.2%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
55.2%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch17.0ms (0.5%)

Memory

-20.5MiB live, 24.7MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.0026072745158847626	322148.0863415725

Samples

7.0ms

144×

valid

Compiler

Compiled 101 to 119 computations (-17.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 3.0ms (68.2% of total)

ival-neg: 1.0ms (22.7% of total)

ival-div!: 1.0ms (22.7% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

derivations823.0ms (23.4%)

Memory

35.5MiB live, 201.5MiB allocated; 103ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 13 to 13 computations (0% saved)

preprocess39.0ms (1.1%)

Memory: -55.0MiB live, 69.5MiB allocated; 26ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 64 to 64 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (49.8%)

preprocess45.0ms (1.3%)

series15.0ms (0.4%)

rewrite97.0ms (2.7%)

eval60.0ms (1.7%)

prune6.0ms (0.2%)

series12.0ms (0.3%)

rewrite107.0ms (3%)

eval59.0ms (1.7%)

prune7.0ms (0.2%)

series5.0ms (0.1%)

rewrite143.0ms (4.1%)

eval5.0ms (0.2%)

prune3.0ms (0.1%)

series6.0ms (0.2%)

rewrite132.0ms (3.7%)

eval131.0ms (3.7%)

prune32.0ms (0.9%)

regimes13.0ms (0.4%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch17.0ms (0.5%)

derivations823.0ms (23.4%)

preprocess39.0ms (1.1%)

end0.0ms (0%)

Profiling