Metrics for Hyperbolic tangent

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 15 to 9 computations (40% saved)

sample3.6s (78.9%)

Memory

39.7MiB live, 3 780.6MiB allocated; 852ms collecting garbage

Samples

1.5s	3 281×	2	valid
895.0ms	4 616×	1	valid
508.0ms	7 953×	0	exit
40.0ms	359×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

ival-exp: 1.7s (72.8% of total)

adjust: 226.0ms (9.6% of total)

ival-div!: 193.0ms (8.2% of total)

ival-sub!: 77.0ms (3.3% of total)

ival-neg: 74.0ms (3.2% of total)

ival-add!: 68.0ms (2.9% of total)

Bogosity

preprocess39.0ms (0.8%)

Memory

-8.2MiB live, 37.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	7
1	57	7
2	213	7
3	1588	7

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.1%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Symmetry

(negabs x)

Compiler

Compiled 26 to 14 computations (46.2% saved)

series4.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Counts

7 → 29

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) (+ (exp x) (exp (neg x))))

1.0ms

inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) (+ (exp x) (exp (neg x))))

1.0ms

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) (+ (exp x) (exp (neg x))))

rewrite171.0ms (3.7%)

Memory

13.4MiB live, 158.8MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	490
0	135	348
1	749	337
0	6295	311

Stop Event

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

Counts

36 → 118

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))

Outputs
(tanh.f64 x)
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64)))) (.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x))) (neg.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (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) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cosh.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (.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) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 (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 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))))
(-.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) #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) #s(literal 2 binary64))) #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 (sinh.f64 x) (sinh.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (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)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.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 (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 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
(.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.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) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))))
(.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sinh.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal -2 binary64) (sinh.f64 x)))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (expm1.f64 (+.f64 x x))))
(/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (cosh.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (+ (exp x) (exp (neg x))) #s(literal 2 binary64))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))

eval11.0ms (0.2%)

Memory: 17.3MiB live, 17.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 406 to 450 computations (81.3% saved)

prune4.0ms (0.1%)

Memory

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

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	5	109

Accuracy

100.0%

Counts

109 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(/.f64 (sinh.f64 x) (cosh.f64 x))
▶	100.0%	(tanh.f64 x)
▶	98.2%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
▶	97.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
▶	97.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Compiler

Compiled 144 to 86 computations (40.3% saved)

series15.0ms (0.3%)

Memory

-29.0MiB live, 16.9MiB allocated; 3ms collecting garbage

Counts

19 → 36

Calls

Call 1

Inputs
(tanh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/3 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sinh.f64 x)
(cosh.f64 x)

Outputs
#s(approx (tanh x) #s(hole binary64 x))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 (+ 1 (* -1/3 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 -1/3))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 (- (* 2/15 (pow x 2)) 1/3)))
#s(approx (* 2/15 (* x x)) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (tanh x) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 (* -1/3 (pow x 2))))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* 2/15 (pow x 5))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* 2/15 (pow x 4))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((tanh x) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (* x x) -1/3) 1) x) (+ (* (* x x) -1/3) 1) (* x x) -1/3 1 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 1/3 (/ (sinh x) (cosh x)) (sinh x) (cosh x))
4.0ms	x	@	-inf	((tanh x) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (* x x) -1/3) 1) x) (+ (* (* x x) -1/3) 1) (* x x) -1/3 1 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 1/3 (/ (sinh x) (cosh x)) (sinh x) (cosh x))
2.0ms	x	@	0	((tanh x) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (* x x) -1/3) 1) x) (+ (* (* x x) -1/3) 1) (* x x) -1/3 1 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 1/3 (/ (sinh x) (cosh x)) (sinh x) (cosh x))

Time

Variable

Point

Expression

7.0ms

inf

((tanh x) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (* x x) -1/3) 1) x) (+ (* (* x x) -1/3) 1) (* x x) -1/3 1 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 1/3 (/ (sinh x) (cosh x)) (sinh x) (cosh x))

4.0ms

-inf

((tanh x) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (* x x) -1/3) 1) x) (+ (* (* x x) -1/3) 1) (* x x) -1/3 1 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 1/3 (/ (sinh x) (cosh x)) (sinh x) (cosh x))

2.0ms

((tanh x) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (* x x) -1/3) 1) x) (+ (* (* x x) -1/3) 1) (* x x) -1/3 1 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 1/3 (/ (sinh x) (cosh x)) (sinh x) (cosh x))

rewrite240.0ms (5.3%)

Memory

21.5MiB live, 161.3MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	815
0	187	681
1	855	655
0	6519	602

Stop Event

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

Counts

55 → 273

Calls

Call 1

Inputs
(tanh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/3 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sinh.f64 x)
(cosh.f64 x)
#s(approx (tanh x) #s(hole binary64 x))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 (+ 1 (* -1/3 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 -1/3))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 (- (* 2/15 (pow x 2)) 1/3)))
#s(approx (* 2/15 (* x x)) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (tanh x) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 (* -1/3 (pow x 2))))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* 2/15 (pow x 5))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* 2/15 (pow x 4))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))))

Outputs
(tanh.f64 x)
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(.f64 (/.f64 (sinh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64)))) (.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sinh.f64 (neg.f64 x))) (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x))) (neg.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (neg.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (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) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x)))
(/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(neg.f64 (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(neg.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)))
(neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
x
#s(approx (tanh x) x)
#s(approx (tanh x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x))) x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)))) (-.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal -1/3 binary64))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64))) (.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 #s(literal -1/3 binary64) x) (.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/3 binary64)) x)
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x x)
(fma.f64 (.f64 x x) (.f64 #s(literal -1/3 binary64) x) x)
(fma.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) x) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(-.f64 x (.f64 (neg.f64 x) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 x (.f64 (.f64 (*.f64 x x) #s(literal 1/3 binary64)) x))
(+.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal -1/3 binary64)) x)
(+.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal -1/3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1 binary64)) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 x (.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -1/3 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -1/3 binary64) x)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal -1/3 binary64))) (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal -1/3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal -1/3 binary64)
#s(literal 1 binary64)
#s(approx (tanh x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x))))
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(/.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) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x)))
(/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(neg.f64 (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(neg.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)))
(neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #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) #s(literal 2 binary64))) #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 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
#s(approx (tanh x) x)
#s(approx (tanh x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (tanh x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tanh x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) -1/3) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/3) 1) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(literal -1/3 binary64))
#s(approx (- (* 2/15 (* x x)) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
#s(approx (* 2/15 (* x x)) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
#s(approx (sinh x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (tanh x) (tanh.f64 x))
#s(approx (tanh x) (tanh.f64 x))
#s(approx (* (+ (* (* x x) -1/3) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/3 binary64)))
#s(approx (* (+ (* (* x x) -1/3) 1) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x) (.f64 x x)))
#s(approx (+ (* (* x x) -1/3) 1) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
#s(approx (+ (* (* x x) -1/3) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) #s(literal 2/15 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 2/15 binary64)))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) #s(literal 2/15 binary64)) (.f64 (.f64 (.f64 x x) x) x)))
#s(approx (- (* 2/15 (* x x)) 1/3) (.f64 (.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x))
#s(approx (sinh x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (cosh x) (*.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (tanh x) (tanh.f64 x))
#s(approx (* (+ (* (* x x) -1/3) 1) x) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/15 binary64)))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/15 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x)))))

eval39.0ms (0.9%)

Memory: -2.8MiB live, 41.9MiB allocated; 7ms collecting garbage
Compiler: Compiled 7 493 to 1 033 computations (86.2% saved)

prune7.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	247	2	249
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	248	6	254

Accuracy

100.0%

Counts

254 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(/.f64 (sinh.f64 x) (cosh.f64 x))
▶	98.3%	(/.f64 #s(approx (sinh x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (cosh.f64 x))
✓	100.0%	(tanh.f64 x)
▶	98.2%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 (*.f64 x x) x) x))
✓	97.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
✓	97.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Compiler

Compiled 90 to 53 computations (41.1% saved)

series8.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Counts

17 → 40

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 (*.f64 x x) x) x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 (*.f64 x x) x) x)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(.f64 (.f64 x x) x)
(/.f64 #s(approx (sinh x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (cosh.f64 x))
#s(approx (sinh x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(cosh.f64 x)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (* x x) 2/15) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 2/15) -1/3) #s(hole binary64 (- (* 2/15 (pow x 2)) 1/3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) #s(hole binary64 (* 2/15 (pow x 5))))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) #s(hole binary64 (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) #s(hole binary64 (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 2/15) -1/3) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (+ (* (* x x) 2/15) -1/3) #s(hole binary64 (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (sinh x) (cosh x)) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) (+ (* (* x x) 2/15) -1/3) (* x x) x 2/15 -1/3 (* (* x x) x) (/ (sinh x) (cosh x)) (sinh x) (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) 1/120 1/6 1 (cosh x))
3.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) (+ (* (* x x) 2/15) -1/3) (* x x) x 2/15 -1/3 (* (* x x) x) (/ (sinh x) (cosh x)) (sinh x) (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) 1/120 1/6 1 (cosh x))
1.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) (+ (* (* x x) 2/15) -1/3) (* x x) x 2/15 -1/3 (* (* x x) x) (/ (sinh x) (cosh x)) (sinh x) (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) 1/120 1/6 1 (cosh x))

Time

Variable

Point

Expression

3.0ms

inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) (+ (* (* x x) 2/15) -1/3) (* x x) x 2/15 -1/3 (* (* x x) x) (/ (sinh x) (cosh x)) (sinh x) (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) 1/120 1/6 1 (cosh x))

3.0ms

-inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) (+ (* (* x x) 2/15) -1/3) (* x x) x 2/15 -1/3 (* (* x x) x) (/ (sinh x) (cosh x)) (sinh x) (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) 1/120 1/6 1 (cosh x))

1.0ms

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) (+ (* (* x x) 2/15) -1/3) (* x x) x 2/15 -1/3 (* (* x x) x) (/ (sinh x) (cosh x)) (sinh x) (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) 1/120 1/6 1 (cosh x))

rewrite256.0ms (5.6%)

Memory

-26.7MiB live, 259.1MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	943
0	197	759
1	952	737
0	7660	706

Stop Event

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

Counts

57 → 250

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 (*.f64 x x) x) x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 (*.f64 x x) x) x)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(.f64 (.f64 x x) x)
(/.f64 #s(approx (sinh x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (cosh.f64 x))
#s(approx (sinh x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(cosh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (* x x) 2/15) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 2/15) -1/3) #s(hole binary64 (- (* 2/15 (pow x 2)) 1/3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) #s(hole binary64 (* 2/15 (pow x 5))))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) #s(hole binary64 (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) #s(hole binary64 (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 2/15) -1/3) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (+ (* (* x x) 2/15) -1/3) #s(hole binary64 (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (sinh x) (cosh x)) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))))

Outputs
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (.f64 (.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x)) #s(literal 2 binary64))) (-.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x))) (pow.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) x))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x)) x))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x))) (pow.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) (*.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(fma.f64 (.f64 (.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 (*.f64 x x) x) x)
(fma.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) x x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)
(fma.f64 x (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) x)
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) x)))
(-.f64 x (.f64 (neg.f64 x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)))
(-.f64 x (.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x))
(-.f64 x (.f64 (neg.f64 (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))
(-.f64 x (.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 (.f64 x x) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x))) (pow.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x)) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x (-.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x))) (pow.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x)) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x)) x)
(+.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 2/15 binary64))) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/27 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))
(/.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/9 binary64)) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal -2/45 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal -2/45 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 2/15 binary64))) #s(literal 1/27 binary64)) (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64))))
(fma.f64 (*.f64 #s(literal 2/15 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 #s(literal 2/15 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 #s(literal 2/15 binary64) x) x #s(literal -1/3 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(fma.f64 x (*.f64 #s(literal 2/15 binary64) x) #s(literal -1/3 binary64))
(-.f64 (/.f64 (.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(-.f64 #s(literal -1/3 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 2/15 binary64)))
(-.f64 #s(literal -1/3 binary64) (.f64 #s(literal -2/15 binary64) (.f64 x x)))
(-.f64 #s(literal -1/3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 2/15 binary64) x)))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (-.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64)))) (/.f64 #s(literal -1/27 binary64) (-.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
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(/.f64 (-.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/216 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/36 binary64)) (.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(/.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/36 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/216 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/216 binary64)) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/36 binary64)) (.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 #s(literal 1/120 binary64) x) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (/.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(-.f64 #s(literal 1/6 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/120 binary64) x)) x))
(-.f64 #s(literal 1/6 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/120 binary64)))
(-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/36 binary64)) (.f64 #s(literal 1/720 binary64) (.f64 x x)))) (/.f64 #s(literal 1/216 binary64) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/36 binary64)) (.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
#s(approx (/ (sinh x) (cosh x)) x)
#s(approx (/ (sinh x) (cosh x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (.f64 (.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x))
#s(approx (/ (sinh x) (cosh x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64))
#s(approx (+ (* (* x x) 2/15) -1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (sinh x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sinh x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (sinh x) (cosh x)) (tanh.f64 x))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) (.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) (.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) #s(literal 2/15 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (* x x) 2/15) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
#s(approx (+ (* (* x x) 2/15) -1/3) (.f64 (.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x))
#s(approx (/ (sinh x) (cosh x)) (tanh.f64 x))
#s(approx (sinh x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (*.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (.f64 x x)) #s(literal 1/120 binary64)) (.f64 (.f64 (.f64 x x) x) x)))
#s(approx (+ (* 1/120 (* x x)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(approx (+ (* 1/120 (* x x)) 1/6) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (cosh x) (*.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (/ (sinh x) (cosh x)) (tanh.f64 x))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/15 binary64)))))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* (* x x) x)) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/15 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x)))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) #s(literal 1/120 binary64))) (pow.f64 x #s(literal 5 binary64))))

eval30.0ms (0.7%)

Memory: 30.2MiB live, 75.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 8 039 to 1 249 computations (84.5% saved)

prune46.0ms (1%)

Memory

-29.0MiB live, 16.0MiB allocated; 7ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	256	6	262

Accuracy

100.0%

Counts

262 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(/.f64 (sinh.f64 x) (cosh.f64 x))
✓	98.3%	(/.f64 #s(approx (sinh x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (cosh.f64 x))
✓	100.0%	(tanh.f64 x)
✓	98.2%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 (*.f64 x x) x) x))
✓	97.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
✓	97.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Compiler

Compiled 221 to 96 computations (56.6% saved)

regimes5.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
(tanh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 (*.f64 x x) x) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 #s(approx (sinh x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(tanh.f64 x)

Calls

2 calls:

2.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
100.0%	1	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes2.0ms (0%)

Memory

4.8MiB live, 4.7MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
97.3%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
97.3%	1	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

derivations66.0ms (1.4%)

Memory

5.4MiB live, 55.5MiB allocated; 12ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 17 to 9 computations (47.1% saved)

preprocess22.0ms (0.5%)

Memory: 0.8MiB live, 43.4MiB allocated; 9ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 64 to 36 computations (43.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample3.6s (78.9%)

preprocess39.0ms (0.8%)

series4.0ms (0.1%)

rewrite171.0ms (3.7%)

eval11.0ms (0.2%)

prune4.0ms (0.1%)

series15.0ms (0.3%)

rewrite240.0ms (5.3%)

eval39.0ms (0.9%)

prune7.0ms (0.1%)

series8.0ms (0.2%)

rewrite256.0ms (5.6%)

eval30.0ms (0.7%)

prune46.0ms (1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

derivations66.0ms (1.4%)

preprocess22.0ms (0.5%)

end0.0ms (0%)

Profiling