Metrics for exp2 (problem 3.3.7)

start11.0ms (0.3%)

Memory: -43.7MiB live, 0.1MiB allocated; 12ms 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%	50.4%	49.6%	0%	0%	0%	0
100%	50.4%	0%	49.6%	0%	0%	0%	1

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample3.0s (67.9%)

Memory

127.3MiB live, 2 910.1MiB allocated; 499ms collecting garbage

Samples

2.2s	5 798×	2	valid
427.0ms	2 300×	1	valid
8.0ms	158×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.4s

ival-exp: 1.8s (76.4% of total)

adjust: 300.0ms (12.7% of total)

ival-add!: 110.0ms (4.6% of total)

ival-sub!: 105.0ms (4.4% of total)

ival-neg: 44.0ms (1.9% of total)

Bogosity

preprocess65.0ms (1.5%)

Memory

-23.0MiB live, 21.4MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	40	25
2	118	19
3	546	18
4	7178	18

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.8%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Symmetry

(abs x)

Compiler

Compiled 14 to 14 computations (0% saved)

series2.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Counts

7 → 23

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (exp x) 2) #s(hole binary64 -1))
#s(approx (- (exp x) 2) #s(hole binary64 (- x 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (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) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))

1.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))

1.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))

rewrite182.0ms (4.2%)

Memory

11.5MiB live, 157.4MiB allocated; 94ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	307
0	97	299
1	545	284
0	4595	263

Stop Event

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

Counts

30 → 100

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (exp x) 2) #s(hole binary64 -1))
#s(approx (- (exp x) 2) #s(hole binary64 (- x 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (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) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Outputs
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))) (-.f64 (exp.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (exp.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (exp.f64 x) (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)))) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x))) (.f64 (exp.f64 x) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)))) (*.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (fma.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (exp.f64 x) (.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))
(/.f64 (fma.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (exp.f64 x) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -4 binary64))) (neg.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (neg.f64 (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -4 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 4 binary64))))
(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))) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(-.f64 (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) (cosh.f64 x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 4 binary64)))))
(-.f64 (/.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))))
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x))))
(-.f64 (expm1.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x)))))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
#s(literal 2 binary64)
(*.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 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))
(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)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.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(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(approx (- (exp x) 2) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (exp x) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)))
#s(approx (- (exp x) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal -1 binary64)))
#s(approx (exp x) #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 x x)
#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) 2) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (- (exp x) 2) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval9.0ms (0.2%)

Memory: 19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 871 to 342 computations (60.7% saved)

prune7.0ms (0.2%)

Memory

-35.6MiB live, 11.3MiB allocated; 2ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	85	7	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	7	93

Accuracy

100.0%

Counts

93 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.8%	(/.f64 (-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
▶	53.8%	(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
	53.8%	(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
▶	52.3%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
▶	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.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))
▶	99.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
▶	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 158 to 146 computations (7.6% saved)

series10.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Counts

24 → 53

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.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))
(.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)
(.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)
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(literal 1 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
#s(literal 2 binary64)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (- (exp x) 2) #s(hole binary64 -1))
#s(approx (- (exp x) 2) #s(hole binary64 (- x 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#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 (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* 1/360 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* 1/360 (pow x 4))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360 (* x x) x 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (- (* (cosh x) 2) 2) (* (cosh x) 2) (cosh x) 2)
3.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360 (* x x) x 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (- (* (cosh x) 2) 2) (* (cosh x) 2) (cosh x) 2)
2.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360 (* x x) x 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (- (* (cosh x) 2) 2) (* (cosh x) 2) (cosh x) 2)

Time

Variable

Point

Expression

4.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360 (* x x) x 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (- (* (cosh x) 2) 2) (* (cosh x) 2) (cosh x) 2)

3.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360 (* x x) x 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (- (* (cosh x) 2) 2) (* (cosh x) 2) (cosh x) 2)

2.0ms

((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360 (* x x) x 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (- (* (cosh x) 2) 2) (* (cosh x) 2) (cosh x) 2)

rewrite160.0ms (3.7%)

Memory

-8.2MiB live, 232.8MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	1104
0	227	1039
1	1105	1000
0	8506	944

Stop Event

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

Counts

77 → 580

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.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))
(.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)
(.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)
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(literal 1 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
#s(literal 2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (- (exp x) 2) #s(hole binary64 -1))
#s(approx (- (exp x) 2) #s(hole binary64 (- x 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#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 (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* 1/360 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* 1/360 (pow x 4))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))))
(.f64 x (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)))
(/.f64 (.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 x x)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 3 binary64))) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x)) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x)) x))) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x)) x)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x)) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x)) x)) (.f64 (.f64 x x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x)) x)))))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (neg.f64 x)) (neg.f64 x) (*.f64 x x))
(fma.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x))))
(fma.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x (.f64 (.f64 (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) x) x))
(fma.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x)) x))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x))))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) x) x))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x)) x))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x))))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 (.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) x) x))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x)) x))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x))))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (.f64 (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) x) x))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x)) x))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x))))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) x) x))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x)) x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x))))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (.f64 (.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) x) x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x)) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x))))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 (.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) x) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x)) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 (.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) x) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x)) x))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 (.f64 x x) x) (*.f64 x x))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x)) x (*.f64 x x))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x))))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 (.f64 (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) x) x))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x)) x))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)) (*.f64 x x))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x))))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) x) x))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x)) x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 (.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) x) x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x)) x))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x))))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) x) x))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x)) x))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x)) x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 (.f64 x x) x) x) (*.f64 x x))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (.f64 x x) (*.f64 x x))
(fma.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (*.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x))))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) x) x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x)) x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)) (*.f64 x x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x))))
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(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
#s(literal 2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x)
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* 1/360 (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(approx (- (exp x) 2) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (exp x) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)))
#s(approx (- (exp x) 2) (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 (* (cosh x) 2) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
#s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) 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 (+ (- (exp x) 2) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (.f64 (.f64 (-.f64 #s(literal 1/360 binary64) (/.f64 #s(literal -1/12 binary64) (.f64 x x))) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) x)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (.f64 (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/12 binary64)) (.f64 x x)) #s(literal 1/360 binary64)) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64)))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/360 binary64) (/.f64 #s(literal -1/12 binary64) (.f64 x x)))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 1/360 binary64))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/12 binary64)) (.f64 x x)) #s(literal 1/360 binary64)) (.f64 (.f64 (.f64 x x) x) x)))
#s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
#s(approx (+ (* 1/360 (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
#s(approx (- (exp x) 2) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/12 binary64)))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* 1/12 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (- (* (cosh x) 2) 2) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (cosh x) (cosh.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/12 binary64)) (*.f64 (neg.f64 x) x)) #s(literal 1/360 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval62.0ms (1.4%)

Memory: 33.1MiB live, 124.1MiB allocated; 8ms collecting garbage
Compiler: Compiled 6 642 to 2 444 computations (63.2% saved)

prune15.0ms (0.3%)

Memory

-13.1MiB live, 33.4MiB allocated; 2ms collecting garbage

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	626	6	632
Fresh	0	2	2
Picked	2	3	5
Done	0	0	0
Total	628	11	639

Accuracy

100.0%

Counts

639 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.8%	(/.f64 (-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
✓	53.8%	(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
	52.8%	(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
▶	52.3%	(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
	53.8%	(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
✓	52.3%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
▶	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
▶	99.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
	99.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
▶	53.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x))
✓	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 227 to 213 computations (6.2% saved)

series16.0ms (0.4%)

Memory

-23.0MiB live, 28.3MiB allocated; 5ms collecting garbage

Counts

31 → 71

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (*.f64 x x) x) x)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(.f64 (.f64 x x) x)
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x))
(.f64 (.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x)
(.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x)
#s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
(.f64 (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x)
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64) x)
(/.f64 (-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))
(*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(-.f64 (expm1.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
#s(literal 1 binary64)
(exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(neg.f64 x)
(-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* (* x x) 1/12) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) #s(hole binary64 (* (pow x 2) (- (* 2 x) 2))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) #s(hole binary64 (* (pow x 2) (- (* x (+ 2 (* -1/6 x))) 2))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) #s(hole binary64 (* (pow x 2) (- (* x (+ 2 (* x (- (* 1/2 x) 1/6)))) 2))))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) #s(hole binary64 (+ 1 (* x (- (* 2/3 (pow x 2)) 2)))))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2)))))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 -1))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- x 1)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* (neg x) 2) #s(hole binary64 (* -2 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 -2))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (* 2 x) 2)))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (* x (+ 2 (* 1/3 (pow x 2)))) 2)))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 2)))
#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 (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* 1/360 (pow x 5))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (- (- (- (exp x) 1) 1) (exp (neg x)))) #s(hole binary64 (/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (- (exp x) (+ 2 (exp (neg x)))))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) #s(hole binary64 (- (pow (- (exp x) 2) 2) (exp (* -2 x)))))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) #s(hole binary64 (pow (- (exp x) 2) 2)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (exp x) 2)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (exp (* -2 x))))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (exp x) (+ 2 (exp (neg x))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))))
#s(approx (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (- (- (- (exp x) 1) 1) (exp (neg x)))) #s(hole binary64 (/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (- (exp x) (+ 2 (exp (* -1 x)))))))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (exp x) (+ 2 (exp (* -1 x))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) (+ (* (* x x) 1/360) 1/12) (* x x) x 1/360 1/12 (* (* x x) x) (- (* (cosh x) 2) 2) (* (cosh x) 2) 2 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (* (* x x) 1/12) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) x) 1/12) x) x) (+ (* (* (* x x) x) 1/12) x) (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (- (- (- (exp x) 1) 1) (exp (neg x)))) (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (- (- (exp x) 1) 1) (- (exp x) 1) 1 (exp (* (neg x) 2)) (* (neg x) 2) (neg x) (- (- (- (exp x) 1) 1) (exp (neg x))) (exp (neg x)))
4.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) (+ (* (* x x) 1/360) 1/12) (* x x) x 1/360 1/12 (* (* x x) x) (- (* (cosh x) 2) 2) (* (cosh x) 2) 2 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (* (* x x) 1/12) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) x) 1/12) x) x) (+ (* (* (* x x) x) 1/12) x) (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (- (- (- (exp x) 1) 1) (exp (neg x)))) (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (- (- (exp x) 1) 1) (- (exp x) 1) 1 (exp (* (neg x) 2)) (* (neg x) 2) (neg x) (- (- (- (exp x) 1) 1) (exp (neg x))) (exp (neg x)))
3.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) (+ (* (* x x) 1/360) 1/12) (* x x) x 1/360 1/12 (* (* x x) x) (- (* (cosh x) 2) 2) (* (cosh x) 2) 2 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (* (* x x) 1/12) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) x) 1/12) x) x) (+ (* (* (* x x) x) 1/12) x) (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (- (- (- (exp x) 1) 1) (exp (neg x)))) (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (- (- (exp x) 1) 1) (- (exp x) 1) 1 (exp (* (neg x) 2)) (* (neg x) 2) (neg x) (- (- (- (exp x) 1) 1) (exp (neg x))) (exp (neg x)))

Time

Variable

Point

Expression

7.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) (+ (* (* x x) 1/360) 1/12) (* x x) x 1/360 1/12 (* (* x x) x) (- (* (cosh x) 2) 2) (* (cosh x) 2) 2 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (* (* x x) 1/12) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) x) 1/12) x) x) (+ (* (* (* x x) x) 1/12) x) (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (- (- (- (exp x) 1) 1) (exp (neg x)))) (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (- (- (exp x) 1) 1) (- (exp x) 1) 1 (exp (* (neg x) 2)) (* (neg x) 2) (neg x) (- (- (- (exp x) 1) 1) (exp (neg x))) (exp (neg x)))

4.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) (+ (* (* x x) 1/360) 1/12) (* x x) x 1/360 1/12 (* (* x x) x) (- (* (cosh x) 2) 2) (* (cosh x) 2) 2 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (* (* x x) 1/12) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) x) 1/12) x) x) (+ (* (* (* x x) x) 1/12) x) (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (- (- (- (exp x) 1) 1) (exp (neg x)))) (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (- (- (exp x) 1) 1) (- (exp x) 1) 1 (exp (* (neg x) 2)) (* (neg x) 2) (neg x) (- (- (- (exp x) 1) 1) (exp (neg x))) (exp (neg x)))

3.0ms

((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) (+ (* (* x x) 1/360) 1/12) (* x x) x 1/360 1/12 (* (* x x) x) (- (* (cosh x) 2) 2) (* (cosh x) 2) 2 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (* (* x x) 1/12) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) x) 1/12) x) x) (+ (* (* (* x x) x) 1/12) x) (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (- (- (- (exp x) 1) 1) (exp (neg x)))) (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (- (- (exp x) 1) 1) (- (exp x) 1) 1 (exp (* (neg x) 2)) (* (neg x) 2) (neg x) (- (- (- (exp x) 1) 1) (exp (neg x))) (exp (neg x)))

rewrite226.0ms (5.2%)

Memory

-27.1MiB live, 241.3MiB allocated; 147ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	1566
0	321	1403
1	1609	1366
0	8127	1310

Stop Event

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

Counts

102 → 352

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (*.f64 x x) x) x)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(.f64 (.f64 x x) x)
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x))
(.f64 (.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x)
(.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x)
#s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
(.f64 (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x)
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64) x)
(/.f64 (-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))
(*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(-.f64 (expm1.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
#s(literal 1 binary64)
(exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(neg.f64 x)
(-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* (* x x) 1/12) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) #s(hole binary64 (* (pow x 2) (- (* 2 x) 2))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) #s(hole binary64 (* (pow x 2) (- (* x (+ 2 (* -1/6 x))) 2))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) #s(hole binary64 (* (pow x 2) (- (* x (+ 2 (* x (- (* 1/2 x) 1/6)))) 2))))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) #s(hole binary64 (+ 1 (* x (- (* 2/3 (pow x 2)) 2)))))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2)))))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 -1))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- x 1)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* (neg x) 2) #s(hole binary64 (* -2 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 -2))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (* 2 x) 2)))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (* x (+ 2 (* 1/3 (pow x 2)))) 2)))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 2)))
#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 (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* 1/360 (pow x 5))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (- (- (- (exp x) 1) 1) (exp (neg x)))) #s(hole binary64 (/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (- (exp x) (+ 2 (exp (neg x)))))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) #s(hole binary64 (- (pow (- (exp x) 2) 2) (exp (* -2 x)))))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) #s(hole binary64 (pow (- (exp x) 2) 2)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (exp x) 2)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (exp (* -2 x))))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (exp x) (+ 2 (exp (neg x))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))))
#s(approx (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (- (- (- (exp x) 1) 1) (exp (neg x)))) #s(hole binary64 (/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (- (exp x) (+ 2 (exp (* -1 x)))))))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (exp x) (+ 2 (exp (* -1 x))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x)
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x)) #s(literal 2 binary64))) (-.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (*.f64 x x) x))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x)) #s(literal 2 binary64)) (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (*.f64 x x) x)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x)) #s(literal 3 binary64)) (.f64 (.f64 x x) x))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x)) x)))))
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(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (expm1.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(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 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 x))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.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 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x)
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (* x x) 1/360) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (* (cosh x) 2) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* 1/12 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/12 (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (* (* x x) 1/12) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (.f64 #s(literal -2 binary64) (.f64 x x)))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (.f64 (-.f64 (+.f64 x x) #s(literal 2 binary64)) (.f64 x x)))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (.f64 x x)))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (- (- (exp x) 1) 1) #s(literal -1 binary64))
#s(approx (- (- (exp x) 1) 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (- (exp x) 1) 1) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (- (- (exp x) 1) 1) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (exp (* (neg x) 2)) (fma.f64 (-.f64 (+.f64 x x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* (neg x) 2)) (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 (* (neg x) 2) (*.f64 #s(literal -2 binary64) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(literal -2 binary64))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) (-.f64 (+.f64 x x) #s(literal 2 binary64)))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) (-.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) (-.f64 (.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(literal 2 binary64)))
#s(approx (exp (neg x)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/360 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) (.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x))))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/360 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/360 binary64))))
#s(approx (+ (* (* x x) 1/360) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
#s(approx (+ (* (* x x) 1/360) 1/12) (.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64)) (*.f64 x x)))
#s(approx (- (* (cosh x) 2) 2) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x))
#s(approx (+ (* 1/12 (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* (neg x) 2))) (-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal -2 binary64) x))))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
#s(approx (- (- (exp x) 1) 1) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp (* (neg x) 2)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x))) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval71.0ms (1.6%)

Memory: 39.5MiB live, 111.0MiB allocated; 46ms collecting garbage
Compiler: Compiled 5 502 to 1 782 computations (67.6% saved)

prune30.0ms (0.7%)

Memory

-32.1MiB live, 34.0MiB allocated; 30ms collecting garbage

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	363	1	364
Fresh	0	3	3
Picked	1	4	5
Done	0	3	3
Total	364	11	375

Accuracy

100.0%

Counts

375 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.8%	(/.f64 (-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal -2 binary64) x))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
✓	53.8%	(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
▶	52.8%	(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
✓	52.3%	(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
▶	53.8%	(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
✓	52.3%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
✓	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
✓	99.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
▶	99.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
✓	53.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x))
✓	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 124 to 118 computations (4.8% saved)

series8.0ms (0.2%)

Memory

26.2MiB live, 26.2MiB allocated; 0ms collecting garbage

Counts

26 → 70

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 -1))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* x (- (* 1/2 x) 1)) 1)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* -1 x)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* 1/2 x) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))))
#s(approx (exp x) #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 (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) #s(hole binary64 (* (pow x 2) (- (* 2 x) 2))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) #s(hole binary64 (* (pow x 2) (- (* x (+ 2 (* -1/6 x))) 2))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) #s(hole binary64 (* (pow x 2) (- (* x (+ 2 (* x (- (* 1/2 x) 1/6)))) 2))))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) #s(hole binary64 (+ 1 (* x (- (* 2/3 (pow x 2)) 2)))))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2)))))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- x 1)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (exp (* -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) 1) 1) (exp (neg x))) #s(hole binary64 -2))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (* 2 x) 2)))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (* x (+ 2 (* 1/3 (pow x 2)))) 2)))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 2)))
#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 (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (exp (neg x)) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (neg x)) 1)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (- (- (- (exp x) 1) 1) (exp (neg x)))) #s(hole binary64 (/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (- (exp x) (+ 2 (exp (neg x)))))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) #s(hole binary64 (- (pow (- (exp x) 2) 2) (exp (* -2 x)))))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) #s(hole binary64 (pow (- (exp x) 2) 2)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (exp x) 2)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp (* -2 x)) #s(hole binary64 (exp (* -2 x))))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (exp x) (+ 2 (exp (neg x))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (exp (* -1 x)) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (* -1 x)) 1)))
#s(approx (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (- (- (- (exp x) 1) 1) (exp (neg x)))) #s(hole binary64 (/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (- (exp x) (+ 2 (exp (* -1 x)))))))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (exp x) (+ 2 (exp (* -1 x))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) (* x x) x 1/12 1 (+ (- (- (exp (neg x)) 1) 1) (exp x)) (- (- (exp (neg x)) 1) 1) (- (exp (neg x)) 1) (neg x) (exp x) (- (* (cosh x) 2) 2) (* (cosh x) 2) (+ (* x x) 2) 2 (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (- (- (- (exp x) 1) 1) (exp (neg x)))) (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (- (- (exp x) 1) 1) (- (exp x) 1) (exp (* -2 x)) (* -2 x) -2 (- (- (- (exp x) 1) 1) (exp (neg x))) (exp (neg x)))
2.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) (* x x) x 1/12 1 (+ (- (- (exp (neg x)) 1) 1) (exp x)) (- (- (exp (neg x)) 1) 1) (- (exp (neg x)) 1) (neg x) (exp x) (- (* (cosh x) 2) 2) (* (cosh x) 2) (+ (* x x) 2) 2 (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (- (- (- (exp x) 1) 1) (exp (neg x)))) (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (- (- (exp x) 1) 1) (- (exp x) 1) (exp (* -2 x)) (* -2 x) -2 (- (- (- (exp x) 1) 1) (exp (neg x))) (exp (neg x)))
2.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) (* x x) x 1/12 1 (+ (- (- (exp (neg x)) 1) 1) (exp x)) (- (- (exp (neg x)) 1) 1) (- (exp (neg x)) 1) (neg x) (exp x) (- (* (cosh x) 2) 2) (* (cosh x) 2) (+ (* x x) 2) 2 (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (- (- (- (exp x) 1) 1) (exp (neg x)))) (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (- (- (exp x) 1) 1) (- (exp x) 1) (exp (* -2 x)) (* -2 x) -2 (- (- (- (exp x) 1) 1) (exp (neg x))) (exp (neg x)))

Time

Variable

Point

Expression

2.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) (* x x) x 1/12 1 (+ (- (- (exp (neg x)) 1) 1) (exp x)) (- (- (exp (neg x)) 1) 1) (- (exp (neg x)) 1) (neg x) (exp x) (- (* (cosh x) 2) 2) (* (cosh x) 2) (+ (* x x) 2) 2 (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (- (- (- (exp x) 1) 1) (exp (neg x)))) (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (- (- (exp x) 1) 1) (- (exp x) 1) (exp (* -2 x)) (* -2 x) -2 (- (- (- (exp x) 1) 1) (exp (neg x))) (exp (neg x)))

2.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) (* x x) x 1/12 1 (+ (- (- (exp (neg x)) 1) 1) (exp x)) (- (- (exp (neg x)) 1) 1) (- (exp (neg x)) 1) (neg x) (exp x) (- (* (cosh x) 2) 2) (* (cosh x) 2) (+ (* x x) 2) 2 (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (- (- (- (exp x) 1) 1) (exp (neg x)))) (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (- (- (exp x) 1) 1) (- (exp x) 1) (exp (* -2 x)) (* -2 x) -2 (- (- (- (exp x) 1) 1) (exp (neg x))) (exp (neg x)))

2.0ms

((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) (* x x) x 1/12 1 (+ (- (- (exp (neg x)) 1) 1) (exp x)) (- (- (exp (neg x)) 1) 1) (- (exp (neg x)) 1) (neg x) (exp x) (- (* (cosh x) 2) 2) (* (cosh x) 2) (+ (* x x) 2) 2 (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (- (- (- (exp x) 1) 1) (exp (neg x)))) (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (- (- (exp x) 1) 1) (- (exp x) 1) (exp (* -2 x)) (* -2 x) -2 (- (- (- (exp x) 1) 1) (exp (neg x))) (exp (neg x)))

rewrite172.0ms (3.9%)

Memory

14.0MiB live, 146.7MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	261	1261
0	292	1183
1	1563	1123
0	8175	1080

Stop Event

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

Counts

96 → 383

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
(-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
(exp.f64 x)
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal -2 binary64) x))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal -2 binary64) x)))
(*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(-.f64 (expm1.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 -1))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* x (- (* 1/2 x) 1)) 1)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* -1 x)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* 1/2 x) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))))
#s(approx (exp x) #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 (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) #s(hole binary64 (* (pow x 2) (- (* 2 x) 2))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) #s(hole binary64 (* (pow x 2) (- (* x (+ 2 (* -1/6 x))) 2))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) #s(hole binary64 (* (pow x 2) (- (* x (+ 2 (* x (- (* 1/2 x) 1/6)))) 2))))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) #s(hole binary64 (+ 1 (* x (- (* 2/3 (pow x 2)) 2)))))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2)))))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- x 1)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (exp (* -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) 1) 1) (exp (neg x))) #s(hole binary64 -2))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (* 2 x) 2)))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (* x (+ 2 (* 1/3 (pow x 2)))) 2)))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 2)))
#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 (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (exp (neg x)) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (neg x)) 1)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (- (- (- (exp x) 1) 1) (exp (neg x)))) #s(hole binary64 (/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (- (exp x) (+ 2 (exp (neg x)))))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) #s(hole binary64 (- (pow (- (exp x) 2) 2) (exp (* -2 x)))))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) #s(hole binary64 (pow (- (exp x) 2) 2)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (exp x) 2)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp (* -2 x)) #s(hole binary64 (exp (* -2 x))))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (exp x) (+ 2 (exp (neg x))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (exp (* -1 x)) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (* -1 x)) 1)))
#s(approx (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (- (- (- (exp x) 1) 1) (exp (neg x)))) #s(hole binary64 (/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (- (exp x) (+ 2 (exp (* -1 x)))))))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (exp x) (+ 2 (exp (* -1 x))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Outputs
#s(approx (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (- (- (- (exp x) 1) 1) (exp (neg x)))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (-.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
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(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64)))))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (fabs.f64 (exp.f64 (neg.f64 x))) (fabs.f64 (exp.f64 (neg.f64 x))))
(*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))
(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) x)
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 x x))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (cosh.f64 (.f64 #s(literal -2 binary64) x))) (.f64 (sinh.f64 (.f64 #s(literal -2 binary64) x)) (sinh.f64 (.f64 #s(literal -2 binary64) x)))) (-.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (sinh.f64 (.f64 #s(literal -2 binary64) x))))
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(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))
(exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))
(exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.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)
(/.f64 (-.f64 (.f64 (expm1.f64 x) (expm1.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (+.f64 (expm1.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (expm1.f64 x) (expm1.f64 x) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (*.f64 (expm1.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (expm1.f64 x) (expm1.f64 x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 x))) (.f64 (+.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (+.f64 (expm1.f64 x) #s(literal 1 binary64)) (neg.f64 (exp.f64 x))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (expm1.f64 x) (expm1.f64 x)) #s(literal 1 binary64)) (exp.f64 x)) (.f64 (+.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 x)))
(/.f64 (-.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (neg.f64 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (exp.f64 x))))
(/.f64 (-.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (exp.f64 x)) (.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))
(/.f64 (-.f64 (.f64 (expm1.f64 (.f64 (log.f64 (expm1.f64 x)) #s(literal 3 binary64))) (neg.f64 (exp.f64 x))) (.f64 (fma.f64 (expm1.f64 x) (expm1.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64))) (.f64 (fma.f64 (expm1.f64 x) (expm1.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x))))
(/.f64 (-.f64 (.f64 (expm1.f64 (.f64 (log.f64 (expm1.f64 x)) #s(literal 3 binary64))) (exp.f64 x)) (.f64 (fma.f64 (expm1.f64 x) (expm1.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64))) (.f64 (fma.f64 (expm1.f64 x) (expm1.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) #s(literal 1 binary64)))) (exp.f64 x)))
(/.f64 (-.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (neg.f64 (exp.f64 x))) (.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))) (.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (exp.f64 x))))
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(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (neg.f64 (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
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(-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (expm1.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
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(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 x))
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(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 (neg.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 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
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#s(approx (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (- (- (- (exp x) 1) 1) (exp (neg x)))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
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#s(approx (+ (* (* x x) 1/12) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/12) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- (- (exp (neg x)) 1) 1) #s(literal -1 binary64))
#s(approx (- (- (exp (neg x)) 1) 1) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (- (- (exp (neg x)) 1) 1) (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (- (- (exp (neg x)) 1) 1) (-.f64 (.f64 (-.f64 (.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)) 1) (neg.f64 x))
#s(approx (- (exp (neg x)) 1) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (exp (neg x)) 1) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))
#s(approx (- (exp (neg x)) 1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (* (cosh x) 2) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.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)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (.f64 (.f64 x x) #s(literal -2 binary64)))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (.f64 (-.f64 (+.f64 x x) #s(literal 2 binary64)) (.f64 x x)))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (.f64 x x)))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (- (- (exp x) 1) 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (- (exp x) 1) 1) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (- (- (exp x) 1) 1) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (exp (* -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) 1) 1) (exp (neg x))) #s(literal -2 binary64))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) (-.f64 (+.f64 x x) #s(literal 2 binary64)))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) (-.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) (-.f64 (.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(literal 2 binary64)))
#s(approx (exp (neg x)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (- (- (- (exp x) 1) 1) (exp (neg x)))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
#s(approx (+ (* (* x x) 1/12) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* (* x x) 1/12) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (- (- (exp (neg x)) 1) 1) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (* (cosh x) 2) 2) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (+ (* x x) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (- (- (- (exp x) 1) 1) (exp (neg x)))) (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
#s(approx (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal -2 binary64) x))))
#s(approx (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
#s(approx (- (- (exp x) 1) 1) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp (* -2 x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (- (- (- (exp x) 1) 1) (exp (neg x)))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (- (- (exp (neg x)) 1) 1) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (/ (- (* (- (- (exp x) 1) 1) (- (- (exp x) 1) 1)) (exp (* -2 x))) (- (- (- (exp x) 1) 1) (exp (neg x)))) (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
#s(approx (- (- (- (exp x) 1) 1) (exp (neg x))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval44.0ms (1%)

Memory: -5.5MiB live, 49.3MiB allocated; 14ms collecting garbage
Compiler: Compiled 5 507 to 1 667 computations (69.7% saved)

prune32.0ms (0.7%)

Memory

-31.5MiB live, 16.7MiB allocated; 2ms collecting garbage

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	351	1	352
Fresh	0	0	0
Picked	0	4	4
Done	0	7	7
Total	351	12	363

Accuracy

100.0%

Counts

363 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.8%	(/.f64 (-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal -2 binary64) x))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
✓	53.8%	(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
	6.2%	(-.f64 (expm1.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
✓	52.8%	(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
✓	52.3%	(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
✓	53.8%	(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
✓	52.3%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
✓	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
✓	99.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
✓	99.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
✓	53.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x))
✓	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 256 to 204 computations (20.3% saved)

regimes8.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.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(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
(-.f64 (expm1.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal -2 binary64) x))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))

Calls

2 calls:

4.0ms	x
3.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.3%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.3%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes6.0ms (0.1%)

Memory

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

Counts

10 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.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))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.3%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0.1%)

Memory

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

Counts

9 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.1%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.1%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.1%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.1%)

Memory

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

Counts

5 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
98.9%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))

Outputs
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
52.3%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
52.3%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

derivations184.0ms (4.2%)

Memory

-8.4MiB live, 83.7MiB allocated; 6ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 56 to 37 computations (33.9% saved)

preprocess59.0ms (1.3%)

Memory: -8.2MiB live, 86.7MiB allocated; 11ms collecting garbage
Remove: (abs x)
Compiler: Compiled 253 to 225 computations (11.1% saved)

end0.0ms (0%)

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

start11.0ms (0.3%)

analyze0.0ms (0%)

sample3.0s (67.9%)

preprocess65.0ms (1.5%)

series2.0ms (0.1%)

rewrite182.0ms (4.2%)

eval9.0ms (0.2%)

prune7.0ms (0.2%)

series10.0ms (0.2%)

rewrite160.0ms (3.7%)

eval62.0ms (1.4%)

prune15.0ms (0.3%)

series16.0ms (0.4%)

rewrite226.0ms (5.2%)

eval71.0ms (1.6%)

prune30.0ms (0.7%)

series8.0ms (0.2%)

rewrite172.0ms (3.9%)

eval44.0ms (1%)

prune32.0ms (0.7%)

regimes8.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

derivations184.0ms (4.2%)

preprocess59.0ms (1.3%)

end0.0ms (0%)

Profiling