Metrics for exp2 (problem 3.3.7)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample3.4s (72.2%)

Memory

15.8MiB live, 3 055.2MiB allocated; 821ms collecting garbage

Samples

2.7s	5 845×	2	valid
364.0ms	2 266×	1	valid
7.0ms	145×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.7s

ival-exp: 2.1s (78.4% of total)

adjust: 378.0ms (14.1% of total)

ival-sub!: 108.0ms (4% of total)

ival-add!: 51.0ms (1.9% of total)

ival-neg: 45.0ms (1.7% of total)

Bogosity

preprocess50.0ms (1.1%)

Memory

6.7MiB live, 45.1MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	53	24
2	207	18
3	1206	18

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.5%	(+.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%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Counts

7 → 24

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))
#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	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))
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))

Time

Variable

Point

Expression

1.0ms

-inf

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

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))

rewrite170.0ms (3.6%)

Memory

-2.3MiB live, 147.4MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	312
0	98	304
1	610	289
0	5651	259

Stop Event

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

Counts

31 → 143

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

eval12.0ms (0.2%)

Memory: 18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 235 to 444 computations (64% saved)

prune7.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	127	8	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	8	136

Accuracy

100.0%

Counts

136 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.3%	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
	53.1%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64)))
	56.8%	(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
	52.2%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
▶	99.2%	#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))
▶	99.4%	#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))
▶	98.8%	#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))
▶	97.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 176 to 172 computations (2.3% saved)

series15.0ms (0.3%)

Memory

-26.9MiB live, 18.9MiB allocated; 4ms collecting garbage

Counts

27 → 96

Calls

Call 1

Inputs
#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))
(.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)
(.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)
(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))
(.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)
(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))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(literal 1 binary64)
#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))
(.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))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(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))
(.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))

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 (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) 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 (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 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 (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 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 (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* 1/360 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 1/360))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (+ 1/360 (* 1/20160 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (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 (+ (* (cosh x) 2) -2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (cosh x) #s(hole binary64 1))
#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 (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* 1/20160 (pow x 8))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* 1/20160 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (* 1/20160 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* 1/20160 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* 1/20160 (pow x 4))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (* 1/20160 (pow x 2))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#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) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#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) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))))
#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)))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (+ (- (exp x) 2) (exp (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 -2 (+ (- (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))
5.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (+ (- (exp x) 2) (exp (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 -2 (+ (- (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))
3.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (+ (- (exp x) 2) (exp (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 -2 (+ (- (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))

Time

Variable

Point

Expression

6.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (+ (- (exp x) 2) (exp (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 -2 (+ (- (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))

5.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (+ (- (exp x) 2) (exp (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 -2 (+ (- (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))

3.0ms

((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (+ (- (exp x) 2) (exp (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 -2 (+ (- (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))

rewrite176.0ms (3.7%)

Memory

45.0MiB live, 180.7MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	2504
0	314	2374
1	1423	2321
0	8310	2279

Stop Event

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

Counts

123 → 692

Calls

Call 1

Inputs
#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))
(.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)
(.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)
(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))
(.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)
(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))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(literal 1 binary64)
#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))
(.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))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(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))
(.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(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 (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) 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 (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 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 (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 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 (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* 1/360 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 1/360))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (+ 1/360 (* 1/20160 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (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 (+ (* (cosh x) 2) -2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (cosh x) #s(hole binary64 1))
#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 (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* 1/20160 (pow x 8))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* 1/20160 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (* 1/20160 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* 1/20160 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* 1/20160 (pow x 4))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (* 1/20160 (pow x 2))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#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) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#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) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))))
#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)))))

Outputs
#s(approx (+ (* (cosh x) 2) -2) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))
(.f64 x (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x)))) (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) (pow.f64 (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x))))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 x x))))))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) 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 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) 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 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) 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 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)))
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) 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 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) 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 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x)))
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(/.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal -1/360 binary64) (.f64 x x)) (.f64 #s(literal -1/360 binary64) (.f64 x x)))) (-.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(/.f64 (-.f64 #s(literal 1/1728 binary64) (pow.f64 (.f64 #s(literal -1/360 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 #s(literal -1/360 binary64) (.f64 x x)) (.f64 #s(literal -1/360 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1/1728 binary64) (pow.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/12 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal -1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/1728 binary64))) (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(/.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/144 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))
(/.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (+.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal -1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(/.f64 (fma.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/1728 binary64)) (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/1728 binary64)) (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)) (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/144 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal -1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))) (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)) #s(literal 1/1728 binary64))))
(neg.f64 (-.f64 #s(literal -1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(neg.f64 (-.f64 (.f64 #s(literal -1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64)))
(neg.f64 (-.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))
(-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x)))
(-.f64 #s(literal 1/12 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(+.f64 (/.f64 #s(literal 1/1728 binary64) (+.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal -1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))) (/.f64 (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (+.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal -1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))))
(+.f64 (/.f64 (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/1728 binary64) (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (neg.f64 (.f64 #s(literal -1/360 binary64) (.f64 x x))))
(+.f64 #s(literal 1/12 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
#s(approx (+ (* (cosh x) 2) -2) (*.f64 x x))
#s(approx (+ (* (cosh x) 2) -2) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
#s(approx (+ (* (cosh x) 2) -2) (.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 (+ (* (cosh x) 2) -2) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (*.f64 x x))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) 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)) x) x))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x)
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 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 (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 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 (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(literal 1/360 binary64))
#s(approx (+ (* 1/20160 (* x x)) 1/360) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (*.f64 x x))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) x)
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x))
#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 (+ (* (cosh x) 2) -2) (*.f64 x x))
#s(approx (+ (* (cosh x) 2) -2) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
#s(approx (+ (* (cosh x) 2) -2) (.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 (+ (* (cosh x) 2) -2) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 x x))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (.f64 (.f64 (fma.f64 (*.f64 #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) (.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 (* (+ (* (+ (* 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 #s(literal 1/12 binary64) x) x #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 #s(literal 1/12 binary64) x) x #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 (+ (* (cosh x) 2) -2) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal -1/20160 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal -1/360 binary64)) (*.f64 x x)) #s(literal -1/20160 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal -1/360 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -6 binary64))) #s(literal -1/20160 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal -1/20160 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal -1/360 binary64)) (*.f64 x x)) #s(literal -1/20160 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal -1/360 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -6 binary64))) #s(literal -1/20160 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/20160 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal -1/20160 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal -1/360 binary64)) (.f64 x x)) #s(literal -1/20160 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal -1/360 binary64)) (.f64 x x)) (pow.f64 x #s(literal -6 binary64))) #s(literal -1/20160 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/20160 binary64)))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal -1/20160 binary64))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal -1/360 binary64)) (*.f64 x x)) #s(literal -1/20160 binary64))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/20160 binary64)))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal -1/20160 binary64))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal -1/360 binary64)) (.f64 x x)) #s(literal -1/20160 binary64)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))
#s(approx (+ (* 1/20160 (* x x)) 1/360) (.f64 (-.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal -1/20160 binary64)) (*.f64 x x)))
#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 (*.f64 x x) x) #s(literal 1/12 binary64)))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/12 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 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (+ (* (cosh x) 2) -2) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (cosh x) (cosh.f64 x))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/360 binary64)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) 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 (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) 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 (* (+ (* (+ (* 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 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal -1/360 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) 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)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64)))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal -1/360 binary64)) (.f64 (.f64 x x) (*.f64 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 x x) (.f64 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) (.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) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (neg.f64 (.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal -1/360 binary64)) (*.f64 x x)) #s(literal -1/20160 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal -1/20160 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (neg.f64 (.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal -1/360 binary64)) (*.f64 x x)) #s(literal -1/20160 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (neg.f64 (.f64 (neg.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))) (pow.f64 x #s(literal 5 binary64)))))

eval104.0ms (2.2%)

Memory: -32.3MiB live, 112.1MiB allocated; 18ms collecting garbage
Compiler: Compiled 10 878 to 3 680 computations (66.2% saved)

prune19.0ms (0.4%)

Memory

-6.9MiB live, 39.8MiB allocated; 2ms collecting garbage

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	806	4	810
Fresh	0	3	3
Picked	1	4	5
Done	0	0	0
Total	807	11	818

Accuracy

100.0%

Counts

818 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.3%	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
	53.1%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64)))
	56.8%	(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
▶	52.2%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
▶	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))))
▶	98.8%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
✓	99.2%	#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))
✓	99.4%	#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))
▶	53.2%	#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))
▶	98.8%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx ( (+ (* 1/12 (* x x)) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64) x)) x))
✓	97.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 231 to 227 computations (1.7% saved)

series9.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Counts

26 → 52

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))))
(fma.f64 x x (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
x
(.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 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 #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 #s(approx ( (+ (* 1/12 (* x x)) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64) x)) x))
(.f64 #s(approx ( (+ (* 1/12 (* x x)) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64) x)) x)
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64) x)
(.f64 (.f64 x x) x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1 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 (+ (* x x) (* (* (* x x) 1/12) (* x x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (* x x) 1/12) (* x x)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* x x) 1/12) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (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 (- (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))
#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 (+ (* (* (* x x) x) 1/12) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) x) 1/12) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* (+ (* (* 1/12 x) x) 1) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* 1/12 x) x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (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 (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#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 (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (* (* (* x x) x) 1/12) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (+ (* (* (* x x) x) 1/12) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))))
#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) #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 (+ (- (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
3.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* (* (* x x) 1/12) (* x x))) x (* (* (* x x) 1/12) (* x x)) (* (* x x) 1/12) (* x x) 1/12 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (+ (- (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) (+ (* (* (* x x) x) 1/12) x) (* (* x x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* 1/12 x) x) 1) (* x x)) (+ (* (* 1/12 x) x) 1) (* 1/12 x) 1)
3.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* (* (* x x) 1/12) (* x x))) x (* (* (* x x) 1/12) (* x x)) (* (* x x) 1/12) (* x x) 1/12 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (+ (- (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) (+ (* (* (* x x) x) 1/12) x) (* (* x x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* 1/12 x) x) 1) (* x x)) (+ (* (* 1/12 x) x) 1) (* 1/12 x) 1)
2.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* (* (* x x) 1/12) (* x x))) x (* (* (* x x) 1/12) (* x x)) (* (* x x) 1/12) (* x x) 1/12 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (+ (- (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) (+ (* (* (* x x) x) 1/12) x) (* (* x x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* 1/12 x) x) 1) (* x x)) (+ (* (* 1/12 x) x) 1) (* 1/12 x) 1)

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

rewrite219.0ms (4.6%)

Memory

-7.9MiB live, 180.7MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	1031
0	183	945
1	854	844
0	6828	817

Stop Event

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

Counts

78 → 617

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))))
(fma.f64 x x (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
x
(.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 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 #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 #s(approx ( (+ (* 1/12 (* x x)) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64) x)) x))
(.f64 #s(approx ( (+ (* 1/12 (* x x)) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64) x)) x)
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64) x)
(.f64 (.f64 x x) x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1 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 (+ (* x x) (* (* (* x x) 1/12) (* x x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (* x x) 1/12) (* x x)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* x x) 1/12) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (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 (- (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))
#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 (+ (* (* (* x x) x) 1/12) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) x) 1/12) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* (+ (* (* 1/12 x) x) 1) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* 1/12 x) x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (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 (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#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 (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (* (* (* x x) x) 1/12) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (+ (* (* (* x x) x) 1/12) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))))
#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) #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 (+ (- (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
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x)) (.f64 x (-.f64 x (.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal 1/12 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (pow.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)) (.f64 x x)) (.f64 (.f64 (*.f64 x x) x) x))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/12 binary64)) (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
(.f64 (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x)
(.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))))
(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/1728 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/1728 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/1728 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/1728 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (.f64 x x)) (-.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) x) x)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x)) (.f64 x (-.f64 x (.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64)))))) (neg.f64 (.f64 x (-.f64 x (.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (pow.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x)) (.f64 x (-.f64 x (.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64))))) (.f64 x (-.f64 x (.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (pow.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) x) (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (pow.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 x (.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x)) (.f64 x (-.f64 x (.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (pow.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)) #s(literal 3 binary64)))))
(neg.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) x) x) (*.f64 x x)))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fabs.f64 x)) (fabs.f64 x) (.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (neg.f64 x)) (neg.f64 x) (.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x))) (*.f64 x x)))
(fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (*.f64 x x)) x) x)))
(fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (*.f64 x x) x)))
(fma.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (neg.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x))) (*.f64 x x)))
(fma.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64) (neg.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (*.f64 x x)) x) x)))
(fma.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (*.f64 x x) x)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (neg.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x))) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) x) x)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (neg.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x))) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (neg.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (*.f64 x x)) x) x)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (*.f64 x x) x)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x))) (.f64 x x)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) x) x)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)))
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x))) (.f64 x x)))
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) x) x)))
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x))) (.f64 x x)))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) x) x)))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x))) (.f64 x x)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) x) x)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (neg.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x))) (.f64 x x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (neg.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) x) x)))
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#s(literal 1 binary64)
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#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) (*.f64 x x))
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#s(approx x x)
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#s(approx (* (* x x) 1/12) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (* x x) (*.f64 x x))
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#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) x)
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64) x))
#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 (- (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)) #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 (* (+ (* 1/12 (* x x)) 1) x) x)
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64) x))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) (*.f64 x x))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#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 (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 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) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/12 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 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (exp x) 2) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 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) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64) x))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x x) x)))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x 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 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval85.0ms (1.8%)

Memory: 0.6MiB live, 98.5MiB allocated; 23ms collecting garbage
Compiler: Compiled 6 127 to 2 353 computations (61.6% saved)

prune11.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	624	1	625
Fresh	0	2	2
Picked	0	5	5
Done	0	4	4
Total	624	12	636

Accuracy

100.0%

Counts

636 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.3%	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
▶	53.1%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64)))
▶	56.8%	(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
✓	52.2%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
▶	52.3%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64)))
✓	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))))
✓	98.8%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
✓	99.2%	#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))
✓	99.4%	#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))
✓	53.2%	#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))
✓	98.8%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx ( (+ (* 1/12 (* x x)) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64) x)) x))
✓	97.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 152 to 149 computations (2% saved)

series2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Counts

14 → 41

Calls

Call 1

Inputs
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64)))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
x
(expm1.f64 x)
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.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 (- (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))
#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 (neg x)) 1) (- (exp x) 1)) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp (neg x)) 1) (- (exp x) 1)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp (neg x)) 1) (- (exp x) 1)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp (neg x)) 1) (- (exp x) 1)) #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 (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 (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#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 x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (- (exp 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 (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (- (exp (neg x)) 1) (- (exp x) 1)) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (neg x)) 1)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp x) #s(hole binary64 (exp 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))))
#s(approx (+ (- (exp (neg x)) 1) (- (exp x) 1)) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (* -1 x)) 1)))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) 1 (+ (- (exp (neg x)) 1) (- (exp x) 1)) (- (exp (neg x)) 1) (neg x) x (- (exp x) 1) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) 2)

1.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) 1 (+ (- (exp (neg x)) 1) (- (exp x) 1)) (- (exp (neg x)) 1) (neg x) x (- (exp x) 1) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) 2)

1.0ms

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) 1 (+ (- (exp (neg x)) 1) (- (exp x) 1)) (- (exp (neg x)) 1) (neg x) x (- (exp x) 1) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) 2)

rewrite126.0ms (2.7%)

Memory

-1.7MiB live, 89.4MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	580
0	139	575
1	852	550
0	8062	494

Stop Event

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

Counts

55 → 317

Calls

Call 1

Inputs
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64)))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
x
(expm1.f64 x)
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.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 (- (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))
#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 (neg x)) 1) (- (exp x) 1)) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp (neg x)) 1) (- (exp x) 1)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp (neg x)) 1) (- (exp x) 1)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp (neg x)) 1) (- (exp x) 1)) #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 (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 (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#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 x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (- (exp 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 (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (- (exp (neg x)) 1) (- (exp x) 1)) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (neg x)) 1)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp x) #s(hole binary64 (exp 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))))
#s(approx (+ (- (exp (neg x)) 1) (- (exp x) 1)) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (* -1 x)) 1)))

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

eval31.0ms (0.6%)

Memory: -4.0MiB live, 40.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 416 to 860 computations (74.8% saved)

prune12.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	292	5	297
Fresh	0	0	0
Picked	1	2	3
Done	1	8	9
Total	294	15	309

Accuracy

100.0%

Counts

309 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.8%	(fma.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (expm1.f64 x))
✓	55.3%	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
	55.4%	(/.f64 (-.f64 (*.f64 (+.f64 (expm1.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (expm1.f64 (neg.f64 x)) (exp.f64 x))) #s(literal 1 binary64)) (+.f64 (+.f64 (expm1.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64)))
	53.1%	(-.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (expm1.f64 x)))
✓	56.8%	(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
	53.3%	(+.f64 (expm1.f64 (neg.f64 x)) #s(approx (- (exp x) 1) x))
	53.5%	(+.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (expm1.f64 x))
✓	52.2%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
✓	52.3%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64)))
✓	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))))
✓	98.8%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
✓	99.2%	#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))
✓	99.4%	#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))
✓	98.8%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx ( (+ (* 1/12 (* x x)) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64) x)) x))
✓	97.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 328 to 256 computations (22% saved)

regimes22.0ms (0.5%)

Memory

-40.6MiB live, 15.4MiB allocated; 6ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

Outputs

#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))

Calls

2 calls:

17.0ms	x
4.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.4%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.4%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes8.0ms (0.2%)

Memory

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

Counts

16 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
99.2%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.2%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes7.0ms (0.2%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

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

regimes7.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx ( (+ (* 1/12 (* x x)) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64) 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
98.8%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
98.8%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(+.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (expm1.f64 x))
(+.f64 (expm1.f64 (neg.f64 x)) #s(approx (- (exp x) 1) x))
#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 (neg x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (expm1.f64 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
2.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
97.9%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
97.9%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

derivations176.0ms (3.7%)

Memory

-8.0MiB live, 180.8MiB allocated; 17ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 70 to 44 computations (37.1% saved)

preprocess48.0ms (1%)

Memory: -24.2MiB live, 113.4MiB allocated; 12ms collecting garbage
Remove: (abs x)
Compiler: Compiled 269 to 234 computations (13% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample3.4s (72.2%)

preprocess50.0ms (1.1%)

series2.0ms (0%)

rewrite170.0ms (3.6%)

eval12.0ms (0.2%)

prune7.0ms (0.1%)

series15.0ms (0.3%)

rewrite176.0ms (3.7%)

eval104.0ms (2.2%)

prune19.0ms (0.4%)

series9.0ms (0.2%)

rewrite219.0ms (4.6%)

eval85.0ms (1.8%)

prune11.0ms (0.2%)

series2.0ms (0%)

rewrite126.0ms (2.7%)

eval31.0ms (0.6%)

prune12.0ms (0.2%)

regimes22.0ms (0.5%)

regimes8.0ms (0.2%)

regimes7.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

derivations176.0ms (3.7%)

preprocess48.0ms (1%)

end0.0ms (0%)

Profiling