Metrics for Hyperbolic tangent

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 9 computations (40% saved)

sample4.4s (89.8%)

Memory

133.1MiB live, 6 612.0MiB allocated; 1.6s collecting garbage

Samples

1.7s	3 302×	2	valid
1.1s	4 580×	1	valid
693.0ms	7 898×	0	exit
21.0ms	374×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.9s

ival-exp: 2.0s (70.3% of total)

adjust: 329.0ms (11.5% of total)

ival-add!: 200.0ms (7% of total)

ival-div!: 143.0ms (5% of total)

ival-sub!: 105.0ms (3.7% of total)

ival-neg: 71.0ms (2.5% of total)

Bogosity

preprocess41.0ms (0.8%)

Memory

1.0MiB live, 48.3MiB allocated; 4ms 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
▶	9.2%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Symmetry

(negabs x)

Compiler

Compiled 20 to 14 computations (30% saved)

series4.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB 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))))

rewrite185.0ms (3.7%)

Memory

-16.2MiB live, 274.7MiB allocated; 19ms 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: 34.3MiB live, 34.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 250 to 450 computations (64% saved)

prune3.0ms (0.1%)

Memory

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

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	3	109

Accuracy

100.0%

Counts

109 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
▶	100.0%	(tanh.f64 x)
▶	95.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Compiler

Compiled 21 to 17 computations (19% saved)

series8.0ms (0.2%)

Memory

-31.5MiB live, 15.8MiB allocated; 2ms collecting garbage

Counts

9 → 27

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x (tanh x) (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (exp (+ x x)) 1) (exp (+ x x)) 1)
2.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x (tanh x) (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (exp (+ x x)) 1) (exp (+ x x)) 1)
2.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x (tanh x) (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (exp (+ x x)) 1) (exp (+ x x)) 1)

Time

Variable

Point

Expression

3.0ms

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x (tanh x) (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (exp (+ x x)) 1) (exp (+ x x)) 1)

2.0ms

-inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x (tanh x) (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (exp (+ x x)) 1) (exp (+ x x)) 1)

2.0ms

inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x (tanh x) (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (exp (+ x x)) 1) (exp (+ x x)) 1)

rewrite78.0ms (1.6%)

Memory

22.3MiB live, 119.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	504
0	119	332
0	644	310

Stop Event

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

Counts

36 → 70

Calls

Call 1

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

Outputs
#s(approx (tanh x) x)
x
(tanh.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 (-.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 #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 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.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))))
(tanh.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 (-.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 #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 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.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 (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(expm1.f64 (+.f64 x x))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) #s(literal 1 binary64)) (expm1.f64 (+.f64 x x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) (.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))
(+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))
(*.f64 (exp.f64 x) (exp.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) x)
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(-.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (sinh.f64 (.f64 #s(literal -2 binary64) x)))
(exp.f64 (+.f64 x x))
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))
#s(literal 1 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 (-.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 (tanh x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #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 x)) 1) (+.f64 x x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (+ (exp (+ x x)) 1) #s(literal 2 binary64))
#s(approx (+ (exp (+ x x)) 1) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(approx (+ (exp (+ x x)) 1) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (exp (+ x x)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (exp (+ x x)) #s(literal 1 binary64))
#s(approx (exp (+ x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (tanh x) (tanh.f64 x))
#s(approx (tanh x) (tanh.f64 x))
#s(approx (tanh x) (tanh.f64 x))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (+.f64 x x)))
#s(approx (+ (exp (+ x x)) 1) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (tanh x) (tanh.f64 x))
#s(approx (tanh x) (tanh.f64 x))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (+.f64 x x)))
#s(approx (+ (exp (+ x x)) 1) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))

eval7.0ms (0.1%)

Memory: -30.1MiB live, 17.1MiB allocated; 2ms collecting garbage
Compiler: Compiled 377 to 202 computations (46.4% saved)

prune2.0ms (0%)

Memory

6.3MiB live, 6.4MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	45	4	49

Accuracy

100.0%

Counts

49 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
✓	97.2%	(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
✓	100.0%	(tanh.f64 x)
✓	95.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Compiler

Compiled 31 to 27 computations (12.9% saved)

series6.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Counts

10 → 27

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp (+ x x)) 1) (+ (/ 1 (exp (* -2 x))) 1)) #s(hole binary64 x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (/ 1 (exp (* -2 x))) 1)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (/ 1 (exp (* -2 x))) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (/ 1 (exp (* -2 x))) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (+ (/ 1 (exp (* -2 x))) 1) #s(hole binary64 2))
#s(approx (+ (/ 1 (exp (* -2 x))) 1) #s(hole binary64 (+ 2 (* 2 x))))
#s(approx (+ (/ 1 (exp (* -2 x))) 1) #s(hole binary64 (+ 2 (* x (+ 2 (* 2 x))))))
#s(approx (+ (/ 1 (exp (* -2 x))) 1) #s(hole binary64 (+ 2 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (/ 1 (exp (* -2 x))) #s(hole binary64 1))
#s(approx (/ 1 (exp (* -2 x))) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (/ 1 (exp (* -2 x))) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (/ 1 (exp (* -2 x))) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (/ (- (exp (+ x x)) 1) (+ (/ 1 (exp (* -2 x))) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (+ 1 (/ 1 (exp (* -2 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (+ (/ 1 (exp (* -2 x))) 1) #s(hole binary64 (+ 1 (/ 1 (exp (* -2 x))))))
#s(approx (/ 1 (exp (* -2 x))) #s(hole binary64 (/ 1 (exp (* -2 x)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (exp (* -2 x))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (/ 1 (exp (* -2 x))) 1)) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (+ 1 (/ 1 (exp (* -2 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

rewrite78.0ms (1.6%)

Memory

1.2MiB live, 95.1MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	492
0	118	436
0	620	410

Stop Event

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

Counts

37 → 64

Calls

Call 1

Inputs
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
x
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
#s(approx (/ (- (exp (+ x x)) 1) (+ (/ 1 (exp (* -2 x))) 1)) #s(hole binary64 x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (/ 1 (exp (* -2 x))) 1)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (/ 1 (exp (* -2 x))) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (/ 1 (exp (* -2 x))) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (+ (/ 1 (exp (* -2 x))) 1) #s(hole binary64 2))
#s(approx (+ (/ 1 (exp (* -2 x))) 1) #s(hole binary64 (+ 2 (* 2 x))))
#s(approx (+ (/ 1 (exp (* -2 x))) 1) #s(hole binary64 (+ 2 (* x (+ 2 (* 2 x))))))
#s(approx (+ (/ 1 (exp (* -2 x))) 1) #s(hole binary64 (+ 2 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (/ 1 (exp (* -2 x))) #s(hole binary64 1))
#s(approx (/ 1 (exp (* -2 x))) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (/ 1 (exp (* -2 x))) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (/ 1 (exp (* -2 x))) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (/ (- (exp (+ x x)) 1) (+ (/ 1 (exp (* -2 x))) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (+ 1 (/ 1 (exp (* -2 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (+ (/ 1 (exp (* -2 x))) 1) #s(hole binary64 (+ 1 (/ 1 (exp (* -2 x))))))
#s(approx (/ 1 (exp (* -2 x))) #s(hole binary64 (/ 1 (exp (* -2 x)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (exp (* -2 x))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (/ 1 (exp (* -2 x))) 1)) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (+ 1 (/ 1 (exp (* -2 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))

Outputs
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 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 (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(expm1.f64 (+.f64 x x))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 x x)
x
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) #s(literal 1 binary64)) (expm1.f64 (+.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) (.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))
(+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))
(*.f64 (exp.f64 x) (exp.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) x)
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(-.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (sinh.f64 (.f64 #s(literal -2 binary64) x)))
(exp.f64 (+.f64 x x))
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))
#s(literal 1 binary64)
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (sinh.f64 (.f64 #s(literal -2 binary64) x)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ (- (exp (+ x x)) 1) (+ (/ 1 (exp (* -2 x))) 1)) x)
#s(approx (/ (- (exp (+ x x)) 1) (+ (/ 1 (exp (* -2 x))) 1)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (/ 1 (exp (* -2 x))) 1)) (.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 x)) 1) (+ (/ 1 (exp (* -2 x))) 1)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #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 x)) 1) (+.f64 x x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (+ (/ 1 (exp (* -2 x))) 1) #s(literal 2 binary64))
#s(approx (+ (/ 1 (exp (* -2 x))) 1) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(approx (+ (/ 1 (exp (* -2 x))) 1) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (/ 1 (exp (* -2 x))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (/ 1 (exp (* -2 x))) #s(literal 1 binary64))
#s(approx (/ 1 (exp (* -2 x))) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (/ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* -2 x)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (* -2 x)) (fma.f64 (-.f64 (+.f64 x x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* -2 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (* -2 x) (*.f64 #s(literal -2 binary64) x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (/ 1 (exp (* -2 x))) 1)) (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (+.f64 x x)))
#s(approx (+ (/ 1 (exp (* -2 x))) 1) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ 1 (exp (* -2 x))) (exp.f64 (+.f64 x x)))
#s(approx (exp (* -2 x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (/ (- (exp (+ x x)) 1) (+ (/ 1 (exp (* -2 x))) 1)) (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (+.f64 x x)))

eval5.0ms (0.1%)

Memory: 13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 436 to 229 computations (47.5% saved)

prune10.0ms (0.2%)

Memory

-33.0MiB live, 16.1MiB allocated; 2ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	51	4	55

Accuracy

100.0%

Counts

55 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.2%	(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
✓	97.2%	(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
✓	100.0%	(tanh.f64 x)
✓	95.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Compiler

Compiled 65 to 54 computations (16.9% saved)

regimes4.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
(tanh.f64 x)
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
(/.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
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
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 11 to 8 computations (27.3% saved)

regimes2.0ms (0%)

Memory

5.3MiB live, 5.3MiB 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
95.8%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
95.8%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

derivations40.0ms (0.8%)

Memory

14.7MiB live, 62.0MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 12 to 9 computations (25% saved)

preprocess18.0ms (0.4%)

Memory: -8.7MiB live, 38.5MiB allocated; 2ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 48 to 36 computations (25% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample4.4s (89.8%)

preprocess41.0ms (0.8%)

series4.0ms (0.1%)

rewrite185.0ms (3.7%)

eval11.0ms (0.2%)

prune3.0ms (0.1%)

series8.0ms (0.2%)

rewrite78.0ms (1.6%)

eval7.0ms (0.1%)

prune2.0ms (0%)

series6.0ms (0.1%)

rewrite78.0ms (1.6%)

eval5.0ms (0.1%)

prune10.0ms (0.2%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

derivations40.0ms (0.8%)

preprocess18.0ms (0.4%)

end0.0ms (0%)

Profiling