Metrics for Hyperbolic sine

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample1.7s (49.9%)

Memory

44.5MiB live, 2 595.6MiB allocated; 512ms collecting garbage

Samples

713.0ms	1 671×	2	valid
379.0ms	2 361×	1	valid
226.0ms	4 224×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-exp: 786.0ms (71.3% of total)

ival-div!: 129.0ms (11.7% of total)

adjust: 83.0ms (7.5% of total)

ival-sub!: 57.0ms (5.2% of total)

ival-neg: 47.0ms (4.3% of total)

Bogosity

preprocess70.0ms (2%)

Memory

-43.0MiB live, 61.7MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	62	7
2	260	7
3	5095	7

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.4%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Symmetry

(negabs x)

Compiler

Compiled 16 to 14 computations (12.5% saved)

series7.0ms (0.2%)

Memory

20.8MiB live, 20.8MiB allocated; 0ms 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
1.0ms	x	inf
1.0ms	x	-inf
1.0ms	x	0

rewrite59.0ms (1.7%)

Memory

19.8MiB live, 59.6MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	12	15
1	57	15
0	549	15

Stop Event

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

Counts

7 → 128

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

eval27.0ms (0.8%)

Memory: -5.9MiB live, 34.9MiB allocated; 13ms collecting garbage
Compiler: Compiled 2 123 to 511 computations (75.9% saved)

prune4.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	143	3	146

Accuracy

100.0%

Counts

146 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) (.f64 (exp.f64 x) #s(literal 1/2 binary64)))
▶	100.0%	(sinh.f64 x)
▶	48.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 23 to 19 computations (17.4% saved)

series21.0ms (0.6%)

Memory

-18.0MiB live, 25.6MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	454

Stop Event

1×	iter-limit

Counts

11 → 32

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
x
(sinh.f64 x)
(.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) (.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x)))
(expm1.f64 (-.f64 (neg.f64 x) x))
(-.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 (exp.f64 x) #s(literal 1/2 binary64))
(exp.f64 x)
#s(literal 1/2 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 (neg (- (exp (- (neg x) x)) 1)) (*.f64 #s(literal 2 binary64) x))
#s(approx (neg (- (exp (- (neg x) x)) 1)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x))))
#s(approx (neg (- (exp (- (neg x) x)) 1)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 4/3 binary64) x) #s(literal 2 binary64))))))
#s(approx (neg (- (exp (- (neg x) x)) 1)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal -2/3 binary64) x))) #s(literal 2 binary64))))))
#s(approx (- (exp (- (neg x) x)) 1) (*.f64 #s(literal -2 binary64) x))
#s(approx (- (exp (- (neg x) x)) 1) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
#s(approx (- (exp (- (neg x) x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64))))
#s(approx (- (exp (- (neg x) x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 4/3 binary64))))) #s(literal 2 binary64))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* (exp x) 1/2) #s(literal 1/2 binary64))
#s(approx (* (exp x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (exp x) 1/2) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) x)))))
#s(approx (* (exp x) 1/2) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x)))))))
#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 (sinh x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (* (neg (- (exp (- (neg x) x)) 1)) (* (exp x) 1/2)) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (neg (- (exp (- (neg x) x)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))))
#s(approx (- (exp (- (neg x) x)) 1) (expm1.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (* (exp x) 1/2) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
#s(approx (exp x) (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)))))
#s(approx (* (neg (- (exp (- (neg x) x)) 1)) (* (exp x) 1/2)) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
#s(approx (neg (- (exp (- (neg x) x)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (- (exp (- (neg x) x)) 1) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))

Calls

3 calls:

Time	Variable	Point
3.0ms	x	-inf
2.0ms	x	inf
1.0ms	x	0

rewrite140.0ms (4%)

Memory

22.4MiB live, 113.1MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	48
0	27	23
1	121	16
0	1448	16

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

11 → 34

Calls

Call 1

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

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

eval6.0ms (0.2%)

Memory: 17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 097 to 316 computations (71.2% saved)

prune5.0ms (0.2%)

Memory

-38.2MiB live, 8.5MiB allocated; 4ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	57	3	60

Accuracy

100.0%

Counts

60 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (neg.f64 #s(approx (- (exp (- (neg x) x)) 1) (expm1.f64 (.f64 #s(literal -2 binary64) x)))) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
✓	100.0%	(sinh.f64 x)
✓	48.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Status

Accuracy

Program

▶

100.0%

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

✓

100.0%

(sinh.f64 x)

✓

48.8%

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

Compiler

Compiled 30 to 25 computations (16.7% saved)

series6.0ms (0.2%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	412

Stop Event

1×	iter-limit

Counts

10 → 28

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
1.0ms	x	inf
1.0ms	x	-inf
1.0ms	x	0

rewrite52.0ms (1.5%)

Memory

20.0MiB live, 64.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	59
0	22	59
1	103	56
0	893	50

Stop Event

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

Counts

10 → 62

Calls

Call 1

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

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

eval32.0ms (0.9%)

Memory: -12.1MiB live, 38.3MiB allocated; 21ms collecting garbage
Compiler: Compiled 2 037 to 416 computations (79.6% saved)

prune2.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	81	3	84

Accuracy

100.0%

Counts

84 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 (exp.f64 x) (neg.f64 #s(approx (- (exp (- (neg x) x)) 1) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal 1/2 binary64))
✓	100.0%	(sinh.f64 x)
✓	48.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Status

Accuracy

Program

▶

100.0%

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

✓

100.0%

(sinh.f64 x)

✓

48.8%

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

Compiler

Compiled 30 to 25 computations (16.7% saved)

series11.0ms (0.3%)

Memory

-31.9MiB live, 11.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	472

Stop Event

1×	iter-limit

Counts

10 → 28

Calls

Call 1

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

Outputs
#s(approx (* (* (exp x) (neg (- (exp (- (neg x) x)) 1))) 1/2) x)
#s(approx (* (* (exp x) (neg (- (exp (- (neg x) x)) 1))) 1/2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (* (exp x) (neg (- (exp (- (neg x) x)) 1))) 1/2) (.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) (neg (- (exp (- (neg x) x)) 1))) 1/2) (.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) (neg (- (exp (- (neg x) x)) 1))) (*.f64 #s(literal 2 binary64) x))
#s(approx (* (exp x) (neg (- (exp (- (neg x) x)) 1))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (exp x) (neg (- (exp (- (neg x) x)) 1))) (.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) (neg (- (exp (- (neg x) x)) 1))) (.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 (neg (- (exp (- (neg x) x)) 1)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x))))
#s(approx (neg (- (exp (- (neg x) x)) 1)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 4/3 binary64) x) #s(literal 2 binary64))))))
#s(approx (neg (- (exp (- (neg x) x)) 1)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal -2/3 binary64) x))) #s(literal 2 binary64))))))
#s(approx (- (exp (- (neg x) x)) 1) (*.f64 #s(literal -2 binary64) x))
#s(approx (- (exp (- (neg x) x)) 1) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
#s(approx (- (exp (- (neg x) x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64))))
#s(approx (- (exp (- (neg x) x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 4/3 binary64))))) #s(literal 2 binary64))))
#s(approx (* (* (exp x) (neg (- (exp (- (neg x) x)) 1))) 1/2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (* (exp x) (neg (- (exp (- (neg x) x)) 1))) (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 #s(literal 2 binary64) x))))))
#s(approx (exp x) (exp.f64 x))
#s(approx (neg (- (exp (- (neg x) x)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))))
#s(approx (- (exp (- (neg x) x)) 1) (expm1.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (* -2 x)) 1) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (* (* (exp x) (neg (- (exp (- (neg x) x)) 1))) 1/2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
#s(approx (* (exp x) (neg (- (exp (- (neg x) x)) 1))) (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))
#s(approx (neg (- (exp (- (neg x) x)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Calls

3 calls:

Time	Variable	Point
1.0ms	x	inf
1.0ms	x	-inf
1.0ms	x	0

rewrite61.0ms (1.7%)

Memory

35.5MiB live, 78.2MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	71
0	22	71
1	103	67
0	887	59

Stop Event

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

Counts

10 → 64

Calls

Call 1

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

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

eval12.0ms (0.4%)

Memory: -6.5MiB live, 35.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 2 128 to 466 computations (78.1% saved)

prune3.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	83	3	86

Accuracy

100.0%

Counts

86 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (.f64 (exp.f64 x) (neg.f64 #s(approx (- (exp (- (neg x) x)) 1) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal 1/2 binary64))
✓	100.0%	(sinh.f64 x)
✓	48.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Status

Accuracy

Program

✓

100.0%

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

✓

100.0%

(sinh.f64 x)

✓

48.8%

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

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes1.2s (33.9%)

Memory

-599.9MiB live, 186.9MiB allocated; 1.7s collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

6 → 1

Calls

Call 1

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

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

Call 2

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

Outputs
(sinh.f64 x)

Calls

6 calls:

1.2s	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
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)))
1.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
48.8%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
48.8%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
48.8%	1	`x`
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 97 to 59 computations (39.2% saved)

derivations7.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 12 to 9 computations (25% saved)

preprocess43.0ms (1.2%)

Memory: -15.0MiB live, 76.1MiB allocated; 40ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 44 to 36 computations (18.2% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (49.9%)

preprocess70.0ms (2%)

series7.0ms (0.2%)

rewrite59.0ms (1.7%)

eval27.0ms (0.8%)

prune4.0ms (0.1%)

series21.0ms (0.6%)

rewrite140.0ms (4%)

eval6.0ms (0.2%)

prune5.0ms (0.2%)

series6.0ms (0.2%)

rewrite52.0ms (1.5%)

eval32.0ms (0.9%)

prune2.0ms (0.1%)

series11.0ms (0.3%)

rewrite61.0ms (1.7%)

eval12.0ms (0.4%)

prune3.0ms (0.1%)

regimes1.2s (33.9%)

derivations7.0ms (0.2%)

preprocess43.0ms (1.2%)

end0.0ms (0%)

Profiling