Metrics for exp2 (problem 3.3.7)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample3.8s (66.4%)

Memory

-203.4MiB live, 3 994.7MiB allocated; 1.6s collecting garbage

Samples

3.0s	5 796×	2	valid
407.0ms	2 323×	1	valid
9.0ms	137×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.2s

ival-exp: 2.6s (83.1% of total)

adjust: 335.0ms (10.6% of total)

ival-sub!: 113.0ms (3.6% of total)

ival-add!: 51.0ms (1.6% of total)

ival-neg: 39.0ms (1.2% of total)

Bogosity

preprocess36.0ms (0.6%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	54	24
2	202	18
3	1364	18

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.3%	(+.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)

series8.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	286

Stop Event

1×	iter-limit

Counts

7 → 23

Calls

Call 1

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

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

rewrite262.0ms (4.5%)

Memory

-18.8MiB live, 230.5MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	12	21
1	65	21
2	283	19
3	1514	19
0	8592	18

Stop Event

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

Counts

7 → 615

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

eval124.0ms (2.1%)

Memory: -4.4MiB live, 87.1MiB allocated; 15ms collecting garbage
Compiler: Compiled 6 082 to 2 108 computations (65.3% saved)

prune17.0ms (0.3%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	623	9	632
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	624	9	633

Accuracy

100.0%

Counts

633 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.3%	(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))) #s(literal -1 binary64) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))
	57.2%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	57.6%	(/.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
	58.5%	(/.f64 (-.f64 (*.f64 (expm1.f64 x) (exp.f64 x)) (expm1.f64 x)) (exp.f64 x))
	58.6%	(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
▶	55.5%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
▶	98.8%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
▶	99.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
▶	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))

Compiler

Compiled 184 to 170 computations (7.6% saved)

series17.0ms (0.3%)

Memory

-30.3MiB live, 16.2MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	864

Stop Event

1×	iter-limit

Counts

26 → 52

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

rewrite246.0ms (4.3%)

Memory

1.7MiB live, 194.7MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	189
0	48	188
1	269	183
2	1146	167
0	5445	152

Stop Event

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

Counts

26 → 1 021

Calls

Call 1

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

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))
(.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)) (fabs.f64 x)) (fabs.f64 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)) (neg.f64 x)) (neg.f64 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)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x))) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) x) x) (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) x) x))) (+.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (*.f64 x x)) x) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) x) x) (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) x) x) (.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (*.f64 x x)) x) x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x))) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x))))))
(neg.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal -1 binary64)) (*.f64 x x)))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))))
(neg.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(neg.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal -1 binary64))))
(neg.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) x) x) (*.f64 x x)))
(fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (fabs.f64 x)) (fabs.f64 x) (.f64 x x))
(fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (neg.f64 x)) (neg.f64 x) (.f64 x x))
(fma.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x) (.f64 x x))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/12 binary64) (.f64 x x))
(fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) x (.f64 x x))
(fma.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal -1/12 binary64) (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) x) x) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 x x))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) (.f64 (neg.f64 x) x) (.f64 x x))
(fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 x x) (.f64 x x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x)))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) x) x) (*.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x)))
(fma.f64 x (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) (.f64 x x))
(fma.f64 x x (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) (*.f64 (neg.f64 x) x))
(-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (*.f64 x x)) x) x))
(+.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x)))) (.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x)))) (.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/12 binary64) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) (.f64 x x)) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) (.f64 #s(literal -1/12 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) (.f64 #s(literal -1/12 binary64) (.f64 x x)) (.f64 #s(literal -1/12 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))
(neg.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x))))
(neg.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/12 binary64) x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1/12 binary64) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/12 binary64) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))
(+.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 1/12 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1/12 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal -1/12 binary64) x) (neg.f64 x))
(.f64 (.f64 #s(literal 1/12 binary64) x) x)
(.f64 (.f64 (neg.f64 x) x) #s(literal -1/12 binary64))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/12 binary64)))
(.f64 #s(literal -1/12 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 #s(literal -1/12 binary64) (*.f64 x x)) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/12 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/12 binary64) (*.f64 x x)))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 x (.f64 #s(literal 1/12 binary64) x))
(neg.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)))

eval129.0ms (2.2%)

Memory: 27.3MiB live, 166.6MiB allocated; 20ms collecting garbage
Compiler: Compiled 12 623 to 4 251 computations (66.3% saved)

prune24.0ms (0.4%)

Memory

2.5MiB live, 47.0MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	1 255	6	1 261
Fresh	2	2	4
Picked	4	1	5
Done	0	0	0
Total	1 261	9	1 270

Accuracy

100.0%

Counts

1 270 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.3%	(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))) #s(literal -1 binary64) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))
▶	57.2%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
▶	58.5%	(/.f64 (-.f64 (*.f64 (expm1.f64 x) (exp.f64 x)) (expm1.f64 x)) (exp.f64 x))
▶	58.6%	(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/12 binary64) (.f64 x x)))
	99.5%	#s(approx (+ (- (exp x) 2) (exp (neg 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)) (.f64 x x)))
▶	99.5%	#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))
	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
▶	98.8%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 188 to 175 computations (6.9% saved)

series21.0ms (0.4%)

Memory

-31.6MiB live, 26.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	970

Stop Event

1×	iter-limit

Counts

23 → 54

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#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 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#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) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* 1/360 (* x x)) 1/12) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (- (* (- (exp x) 1) (exp x)) (- (exp x) 1)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (* (- (exp x) 1) (exp x)) (- (exp x) 1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7/12 binary64) x))))))
#s(approx (- (* (- (exp x) 1) (exp x)) (- (exp x) 1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 7/12 binary64) (.f64 #s(literal 1/4 binary64) x))))))))
#s(approx (* (- (exp x) 1) (exp x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) x))))
#s(approx (* (- (exp x) 1) (exp x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 7/6 binary64) x))))))
#s(approx (* (- (exp x) 1) (exp x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 x (+.f64 #s(literal 7/6 binary64) (.f64 #s(literal 5/8 binary64) x))))))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (*.f64 #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 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* 2 (cosh x)) -2) (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (/ (- (* (- (exp x) 1) (exp x)) (- (exp x) 1)) (exp x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))) (exp.f64 x)) (exp.f64 x)))
#s(approx (- (* (- (exp x) 1) (exp x)) (- (exp x) 1)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))) (exp.f64 x)))
#s(approx (* (- (exp x) 1) (exp x)) (*.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/360 binary64)))))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (*.f64 #s(literal -1 binary64) x)))

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

rewrite265.0ms (4.6%)

Memory

22.9MiB live, 253.7MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	136
0	47	129
1	252	123
2	1102	122
3	7516	122
0	8008	122

Stop Event

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

Counts

23 → 1 650

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (neg.f64 x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))))
(.f64 (fabs.f64 x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (fabs.f64 x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))
(.f64 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))
(neg.f64 (.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)) (*.f64 x x)))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))))
(neg.f64 (.f64 (.f64 (neg.f64 x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))) x))
(neg.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)) (.f64 (neg.f64 x) x)))
(neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) (.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (.f64 x x) (.f64 #s(literal 1 binary64) (.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x x))
(fma.f64 x x (.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(fma.f64 x x (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)) (.f64 (*.f64 x x) #s(literal 1 binary64)))
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eval135.0ms (2.3%)

Memory: -1.4MiB live, 134.6MiB allocated; 29ms collecting garbage
Compiler: Compiled 12 912 to 4 156 computations (67.8% saved)

prune19.0ms (0.3%)

Memory

34.2MiB live, 34.2MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 236	4	1 240
Fresh	2	1	3
Picked	2	3	5
Done	1	0	1
Total	1 241	8	1 249

Accuracy

100.0%

Counts

1 249 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.2%	(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
✓	57.2%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
▶	58.5%	(/.f64 (-.f64 (*.f64 (expm1.f64 x) (+.f64 (sinh.f64 x) (cosh.f64 x))) (expm1.f64 x)) (+.f64 (sinh.f64 x) (cosh.f64 x)))
✓	58.6%	(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
▶	100.0%	(*.f64 (expm1.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))))
▶	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/12 binary64) (.f64 x x)))
▶	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
✓	98.8%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 143 to 133 computations (7% saved)

series33.0ms (0.6%)

Memory

-21.2MiB live, 26.0MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	366	1774

Stop Event

1×	iter-limit

Counts

32 → 89

Calls

Call 1

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

Outputs
#s(approx (* (- (exp x) 1) (neg (- (exp (neg x)) 1))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (- (exp x) 1) (neg (- (exp (neg x)) 1))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (- (exp x) 1) (neg (- (exp (neg x)) 1))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (- (exp x) 1) (neg (- (exp (neg x)) 1))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (neg (- (exp (neg x)) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
#s(approx (neg (- (exp (neg x)) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (neg (- (exp (neg x)) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#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) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* 1/360 (* x x)) 1/12) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (* (* x x) x) x) (pow.f64 x #s(literal 4 binary64)))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (sqrt (/ (+ (cosh (+ x x)) 1) 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (/ (+ (cosh (+ x x)) 1) 2)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (/ (+ (cosh (+ x x)) 1) 2)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (/ (+ (cosh (+ x x)) 1) 2) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (+ (cosh (+ x x)) 1) 2) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (+ (cosh (+ x x)) 1) 2) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/45 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ (cosh (+ x x)) 1) #s(literal 2 binary64))
#s(approx (+ (cosh (+ x x)) 1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (cosh (+ x x)) 1) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (cosh (+ x x)) 1) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/45 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (cosh (+ x x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cosh (+ x x)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (cosh (+ x x)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/45 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* (- (exp x) 1) (+ (sinh x) (cosh x))) (- (exp x) 1)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (* (- (exp x) 1) (+ (sinh x) (cosh x))) (- (exp x) 1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7/12 binary64) x))))))
#s(approx (- (* (- (exp x) 1) (+ (sinh x) (cosh x))) (- (exp x) 1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 7/12 binary64) (.f64 #s(literal 1/4 binary64) x))))))))
#s(approx (* (- (exp x) 1) (+ (sinh x) (cosh x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) x))))
#s(approx (* (- (exp x) 1) (+ (sinh x) (cosh x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 7/6 binary64) x))))))
#s(approx (* (- (exp x) 1) (+ (sinh x) (cosh x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 x (+.f64 #s(literal 7/6 binary64) (.f64 #s(literal 5/8 binary64) x))))))))
#s(approx (+ (sinh x) (cosh x)) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (sinh x) (cosh x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (+ (sinh x) (cosh x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (sinh x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sinh x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sinh x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* (- (exp x) 1) (neg (- (exp (neg x)) 1))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (expm1.f64 x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (neg (- (exp (neg x)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (*.f64 #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 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (* (* (* x x) x) x) 1/12) (* x x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (* (* x x) x) x) 1/12) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* 2 (sqrt (/ (+ (cosh (+ x x)) 1) 2))) -2) (-.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))))) #s(literal 2 binary64)))
#s(approx (sqrt (/ (+ (cosh (+ x x)) 1) 2)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) x)))))))))
#s(approx (/ (+ (cosh (+ x x)) 1) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) x))))))))
#s(approx (+ (cosh (+ x x)) 1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (cosh (+ x x)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(approx (/ (- (* (- (exp x) 1) (+ (sinh x) (cosh x))) (- (exp x) 1)) (+ (sinh x) (cosh x))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))) (expm1.f64 x))) (exp.f64 x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))))
#s(approx (- (* (- (exp x) 1) (+ (sinh x) (cosh x))) (- (exp x) 1)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))) (expm1.f64 x))) (exp.f64 x)))
#s(approx (* (- (exp x) 1) (+ (sinh x) (cosh x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))) (expm1.f64 x)))
#s(approx (+ (sinh x) (cosh x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))))
#s(approx (sinh x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (* (- (exp x) 1) (neg (- (exp (neg x)) 1))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (expm1.f64 x)))
#s(approx (neg (- (exp (neg x)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/360 binary64)))))
#s(approx (+ (* 2 (sqrt (/ (+ (cosh (+ x x)) 1) 2))) -2) (-.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))))))))) #s(literal 2 binary64)))
#s(approx (sqrt (/ (+ (cosh (+ x x)) 1) 2)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))))))))))
#s(approx (/ (+ (cosh (+ x x)) 1) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)))))))))
#s(approx (+ (cosh (+ x x)) 1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))))))
#s(approx (cosh (+ x x)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))))))

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	((* (- (exp x) 1) (neg (- (exp (neg x)) 1))) (- (exp x) 1) x (neg (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/12 (* x x) 1 (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* (* x x) x) x) 1/12) (* x x)) (* (* (* x x) x) x) (* (* x x) x) (+ (* 2 (sqrt (/ (+ (cosh (+ x x)) 1) 2))) -2) 2 (sqrt (/ (+ (cosh (+ x x)) 1) 2)) (/ (+ (cosh (+ x x)) 1) 2) (+ (cosh (+ x x)) 1) (cosh (+ x x)) (+ x x) -2 (/ (- (* (- (exp x) 1) (+ (sinh x) (cosh x))) (- (exp x) 1)) (+ (sinh x) (cosh x))) (- (* (- (exp x) 1) (+ (sinh x) (cosh x))) (- (exp x) 1)) (* (- (exp x) 1) (+ (sinh x) (cosh x))) (+ (sinh x) (cosh x)) (sinh x) (cosh x))
7.0ms	x	@	-inf	((* (- (exp x) 1) (neg (- (exp (neg x)) 1))) (- (exp x) 1) x (neg (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/12 (* x x) 1 (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* (* x x) x) x) 1/12) (* x x)) (* (* (* x x) x) x) (* (* x x) x) (+ (* 2 (sqrt (/ (+ (cosh (+ x x)) 1) 2))) -2) 2 (sqrt (/ (+ (cosh (+ x x)) 1) 2)) (/ (+ (cosh (+ x x)) 1) 2) (+ (cosh (+ x x)) 1) (cosh (+ x x)) (+ x x) -2 (/ (- (* (- (exp x) 1) (+ (sinh x) (cosh x))) (- (exp x) 1)) (+ (sinh x) (cosh x))) (- (* (- (exp x) 1) (+ (sinh x) (cosh x))) (- (exp x) 1)) (* (- (exp x) 1) (+ (sinh x) (cosh x))) (+ (sinh x) (cosh x)) (sinh x) (cosh x))
7.0ms	x	@	inf	((* (- (exp x) 1) (neg (- (exp (neg x)) 1))) (- (exp x) 1) x (neg (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/12 (* x x) 1 (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* (* x x) x) x) 1/12) (* x x)) (* (* (* x x) x) x) (* (* x x) x) (+ (* 2 (sqrt (/ (+ (cosh (+ x x)) 1) 2))) -2) 2 (sqrt (/ (+ (cosh (+ x x)) 1) 2)) (/ (+ (cosh (+ x x)) 1) 2) (+ (cosh (+ x x)) 1) (cosh (+ x x)) (+ x x) -2 (/ (- (* (- (exp x) 1) (+ (sinh x) (cosh x))) (- (exp x) 1)) (+ (sinh x) (cosh x))) (- (* (- (exp x) 1) (+ (sinh x) (cosh x))) (- (exp x) 1)) (* (- (exp x) 1) (+ (sinh x) (cosh x))) (+ (sinh x) (cosh x)) (sinh x) (cosh x))

Time

Variable

Point

Expression

8.0ms

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

7.0ms

-inf

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

7.0ms

inf

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

rewrite233.0ms (4%)

Memory

-5.1MiB live, 181.2MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	242
0	69	214
1	374	204
2	1671	186
0	8235	181

Stop Event

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

Counts

32 → 1 316

Calls

Call 1

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

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

eval165.0ms (2.8%)

Memory: 29.5MiB live, 164.4MiB allocated; 25ms collecting garbage
Compiler: Compiled 19 205 to 6 150 computations (68% saved)

prune29.0ms (0.5%)

Memory

-6.0MiB live, 40.2MiB allocated; 4ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 421	2	1 423
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	1 423	8	1 431

Accuracy

100.0%

Counts

1 431 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.2%	(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -2 binary64))
✓	57.2%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	58.5%	(/.f64 (-.f64 (*.f64 (expm1.f64 x) (exp.f64 x)) (expm1.f64 x)) (+.f64 (sinh.f64 x) (cosh.f64 x)))
✓	58.6%	(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
✓	100.0%	(*.f64 (expm1.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))))
✓	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/12 binary64) (.f64 x x)))
✓	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
✓	98.8%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 226 to 169 computations (25.2% saved)

regimes11.0ms (0.2%)

Memory

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

Counts

22 → 1

Calls

Call 1

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

Outputs
(*.f64 (expm1.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))))

Calls

2 calls:

6.0ms	x
4.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
100.0%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.1%)

Memory

-43.4MiB live, 3.5MiB allocated; 2ms collecting garbage

Accuracy

Total -27.7b remaining (-3660.5%)

Threshold costs -27.7b (-3660.5%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

derivations131.0ms (2.3%)

Memory

1.4MiB live, 47.1MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 32 to 24 computations (25% saved)

preprocess28.0ms (0.5%)

Memory: 37.0MiB live, 37.0MiB allocated; 0ms collecting garbage
Remove: (abs x)
Compiler: Compiled 135 to 122 computations (9.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample3.8s (66.4%)

preprocess36.0ms (0.6%)

series8.0ms (0.1%)

rewrite262.0ms (4.5%)

eval124.0ms (2.1%)

prune17.0ms (0.3%)

series17.0ms (0.3%)

rewrite246.0ms (4.3%)

eval129.0ms (2.2%)

prune24.0ms (0.4%)

series21.0ms (0.4%)

rewrite265.0ms (4.6%)

eval135.0ms (2.3%)

prune19.0ms (0.3%)

series33.0ms (0.6%)

rewrite233.0ms (4%)

eval165.0ms (2.8%)

prune29.0ms (0.5%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

derivations131.0ms (2.3%)

preprocess28.0ms (0.5%)

end0.0ms (0%)

Profiling