Metrics for exp2 (problem 3.3.7)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	50.4%	49.6%	0.0%	0.0%	0.0%	0
100.0%	50.4%	0.0%	49.6%	0.0%	0.0%	0.0%	1

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample4.1s (73.2%)

Memory

79.5MiB live, 5 522.6MiB allocated; 2.7s collecting garbage

Samples

3.2s	5 692×	2	valid
463.0ms	2 435×	1	valid
6.0ms	129×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.3s

ival-exp: 2.7s (80.6% of total)

adjust: 395.0ms (11.9% of total)

ival-sub!: 94.0ms (2.8% of total)

ival-neg: 91.0ms (2.7% of total)

ival-add!: 63.0ms (1.9% of total)

Bogosity

preprocess31.0ms (0.6%)

Memory

-15.4MiB live, 29.6MiB allocated; 6ms 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
▶	50.8%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Symmetry

(abs x)

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
2

Outputs
#s(literal 2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series9.0ms (0.2%)

Memory

25.9MiB live, 25.9MiB 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
x
(exp.f64 x)
#s(literal 2 binary64)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(neg.f64 x)
(exp.f64 (neg.f64 x))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

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

Calls

3 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	0
1.0ms	x	inf

rewrite145.0ms (2.6%)

Memory

-39.6MiB live, 271.2MiB allocated; 43ms 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	4301	18

Stop Event

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

Counts

7 → 382

Calls

Call 1

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

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

eval37.0ms (0.7%)

Memory: -11.4MiB live, 85.8MiB allocated; 12ms collecting garbage
Compiler: Compiled 6 399 to 1 315 computations (79.4% saved)

prune10.0ms (0.2%)

Memory

29.9MiB live, 29.9MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	391	8	399
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	392	8	400

Accuracy

100.0%

Counts

400 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.6%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
▶	51.3%	(/.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
	52.5%	(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
▶	48.4%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
	98.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
▶	99.4%	#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))))))))))
▶	99.3%	#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))))))))
	99.2%	#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 174 to 128 computations (26.4% saved)

sample0.0ms (0.0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
2
1
1/12
1/360
1/20160
-1
-1
-2

Outputs
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 6004799503160661/72057594037927936 binary64)
#s(literal 6405119470038039/2305843009213693952 binary64)
#s(literal 3660068268593165/73786976294838206464 binary64)
#s(literal -1 binary64)
#s(literal -1 binary64)
#s(literal -2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 9 computations (10.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series24.0ms (0.4%)

Memory

4.2MiB live, 50.3MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	1468

Stop Event

1×	iter-limit

Counts

34 → 70

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* 1/20160 (pow x 2)) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/360 (* 1/20160 (pow x 2))) #s(literal 1/360 binary64))
#s(approx (+ 1/360 (* 1/20160 (pow x 2))) (+.f64 #s(literal 1/360 binary64) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) (.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 (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) #s(literal 1/12 binary64))
#s(approx (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) (+.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 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (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 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (.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 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))) #s(literal 1 binary64))
#s(approx (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (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 (* (pow x 2) (+ 1/360 (* 1/20160 (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 (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))) (+.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 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (.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 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (.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 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (.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 (neg x) (*.f64 #s(literal -1 binary64) 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 (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 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) (+.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) 1) 1) (exp x)) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (- (- (exp x) 1) 1) (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) 1) (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 (+ 1/360 (* 1/20160 (pow x 2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/20160 binary64) (.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/20160 binary64) (.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/20160 binary64) (.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))))
#s(approx (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 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 (- (exp x) 2) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.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 (+ (* 2 (cosh x)) -2) (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ (* (- (- (exp x) 1) 1) (exp x)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64)))))
#s(approx (/ (+ (* (- (- (exp x) 1) 1) (exp x)) 1) (exp x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) (exp.f64 x)))
#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 (* (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 (* (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 (* (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 (+ (- (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
7.0ms	x	inf
4.0ms	x	-inf
3.0ms	x	0

rewrite226.0ms (4.1%)

Memory

-52.4MiB live, 547.8MiB allocated; 96ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	272
0	64	266
1	352	260
2	1605	252
0	4320	229

Stop Event

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

Counts

34 → 1 111

Calls

Call 1

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

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

eval104.0ms (1.9%)

Memory: 39.7MiB live, 268.4MiB allocated; 31ms collecting garbage
Compiler: Compiled 26 376 to 4 370 computations (83.4% saved)

prune40.0ms (0.7%)

Memory

-3.0MiB live, 50.1MiB allocated; 8ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	957	6	963
Fresh	1	2	3
Picked	5	0	5
Done	-1	1	0
Total	962	9	971

Accuracy

100.0%

Counts

971 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.6%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	52.5%	(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
	48.4%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) #s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
▶	48.4%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) #s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
▶	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 x x))))
▶	98.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
▶	99.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
	99.3%	#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)))
▶	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))

Compiler

Compiled 213 to 143 computations (32.9% saved)

sample0.0ms (0.0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/20160
1/360
1/12
1
-1
-1
2

Outputs
#s(literal 3660068268593165/73786976294838206464 binary64)
#s(literal 6405119470038039/2305843009213693952 binary64)
#s(literal 6004799503160661/72057594037927936 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 9 to 8 computations (11.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series26.0ms (0.5%)

Memory

-1.2MiB live, 45.4MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	1374

Stop Event

1×	iter-limit

Counts

30 → 64

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
12.0ms	x	-inf
3.0ms	x	inf
2.0ms	x	0

rewrite152.0ms (2.8%)

Memory

5.5MiB live, 391.0MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	290
0	58	282
1	303	272
2	1043	258
0	4090	253

Stop Event

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

Counts

30 → 716

Calls

Call 1

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

Outputs
#s(literal 1/20160 binary64)
x
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))))
(.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))))
(.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (.f64 x x))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 x x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
(.f64 (.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 x x (.f64 #s(literal 0 binary64) (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (*.f64 x x)))
#s(literal 1/360 binary64)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/20160 binary64) (*.f64 x x)) #s(literal 1/360 binary64))) #s(literal 1/360 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/360 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))) (.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))) (.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/360 binary64) #s(literal 1/360 binary64)) (.f64 (.f64 #s(literal -1/20160 binary64) (.f64 x x)) (.f64 #s(literal -1/20160 binary64) (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 #s(literal 1/360 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/20160 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/360 binary64) #s(literal 1/360 binary64) (fma.f64 (.f64 #s(literal -1/20160 binary64) (.f64 x x)) (.f64 #s(literal -1/20160 binary64) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 #s(literal 1/360 binary64) #s(literal 1/360 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))) (-.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 #s(literal -1/360 binary64) #s(literal -1/360 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1/360 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/360 binary64) #s(literal 1/360 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal -1/360 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (fma.f64 #s(literal -1/360 binary64) #s(literal -1/360 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 #s(literal 1/360 binary64) #s(literal 1/360 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/360 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (-.f64 (.f64 #s(literal 1/360 binary64) #s(literal 1/360 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))
(neg.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/360 binary64)))
(fma.f64 (*.f64 #s(literal 1/20160 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/360 binary64))
(fma.f64 (*.f64 #s(literal -1/20160 binary64) x) (neg.f64 x) #s(literal 1/360 binary64))
(fma.f64 (*.f64 x #s(literal 1/20160 binary64)) x #s(literal 1/360 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1/20160 binary64) x) #s(literal 1/360 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))
(-.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))
#s(literal 1/12 binary64)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64)) x) x) #s(literal 1/12 binary64))) #s(literal 1/12 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x) #s(literal 1/12 binary64))) #s(literal 1/12 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/12 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x))
(/.f64 (-.f64 (.f64 #s(literal 1/12 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64)) x) x))) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/360 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 #s(literal 1/12 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/12 binary64) #s(literal 1/12 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64)) x) x) (.f64 #s(literal 1/12 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/360 binary64)) x) x)))))
(/.f64 (-.f64 (.f64 #s(literal 1/12 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x))) (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x)) (.f64 #s(literal -1/12 binary64) #s(literal -1/12 binary64))) (+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x) #s(literal -1/12 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1/12 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/12 binary64) #s(literal 1/12 binary64) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x)) (.f64 #s(literal 1/12 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 #s(literal -1/12 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x) (fma.f64 #s(literal -1/12 binary64) #s(literal -1/12 binary64) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x) #s(literal -1/12 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x)) (.f64 #s(literal 1/12 binary64) #s(literal 1/12 binary64))) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x) #s(literal 1/12 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 #s(literal 1/12 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x) (-.f64 (.f64 #s(literal 1/12 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x) #s(literal 1/12 binary64)))))
(neg.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64)) (.f64 x x) #s(literal -1/12 binary64)))
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#s(literal -1 binary64)
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(neg.f64 x)
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(neg.f64 (-.f64 x #s(literal 1 binary64)))
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(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
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(-.f64 (neg.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (neg.f64 x) #s(literal 1 binary64))
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(-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) x) x) (.f64 (neg.f64 x) x))
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(+.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))

eval88.0ms (1.6%)

Memory: 4.9MiB live, 236.2MiB allocated; 30ms collecting garbage
Compiler: Compiled 21 115 to 3 595 computations (83.0% saved)

prune15.0ms (0.3%)

Memory

-5.0MiB live, 41.4MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	759	3	762
Fresh	2	1	3
Picked	5	0	5
Done	-2	3	1
Total	764	7	771

Accuracy

100.0%

Counts

771 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.6%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
▶	52.5%	(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
▶	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 #s(approx (* (+ (* 1/360 (* x x)) 1/12) x) (.f64 #s(literal 1/12 binary64) x)) x) (.f64 x x))))
✓	99.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
▶	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
✓	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
▶	98.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 79 to 52 computations (34.2% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/12
1/12
1

Outputs
#s(literal 6004799503160661/72057594037927936 binary64)
#s(literal 6004799503160661/72057594037927936 binary64)
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 5 to 4 computations (20.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series17.0ms (0.3%)

Memory

-17.1MiB live, 36.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	198	1070

Stop Event

1×	iter-limit

Counts

20 → 52

Calls

Call 1

Inputs
x
(*.f64 x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(literal 1/12 binary64)
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64))
#s(literal 1 binary64)
(fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(.f64 (fma.f64 #s(approx (+ ( (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
(*.f64 #s(literal 1/12 binary64) x)
#s(approx (* (+ (* 1/360 (* x x)) 1/12) x) (*.f64 #s(literal 1/12 binary64) x))
(.f64 #s(approx ( (+ (* 1/360 (* x x)) 1/12) x) (*.f64 #s(literal 1/12 binary64) x)) x)
(.f64 (.f64 #s(approx (* (+ (* 1/360 (* x x)) 1/12) x) (.f64 #s(literal 1/12 binary64) x)) x) (.f64 x x))
(fma.f64 x x (.f64 (.f64 #s(approx (* (+ (* 1/360 (* x x)) 1/12) x) (.f64 #s(literal 1/12 binary64) x)) x) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 #s(approx (* (+ (* 1/360 (* x x)) 1/12) x) (.f64 #s(literal 1/12 binary64) x)) x) (.f64 x x))))
(neg.f64 x)
(expm1.f64 (neg.f64 x))
(expm1.f64 x)
(neg.f64 (expm1.f64 x))
(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))

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

Calls

3 calls:

Time	Variable	Point
4.0ms	x	-inf
2.0ms	x	inf
2.0ms	x	0

rewrite158.0ms (2.9%)

Memory

12.7MiB live, 319.5MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	230
0	53	227
1	280	217
2	1014	217
0	4151	200

Stop Event

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

Counts

20 → 482

Calls

Call 1

Inputs
x
(*.f64 x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(literal 1/12 binary64)
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64))
#s(literal 1 binary64)
(fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(.f64 (fma.f64 #s(approx (+ ( (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
(*.f64 #s(literal 1/12 binary64) x)
#s(approx (* (+ (* 1/360 (* x x)) 1/12) x) (*.f64 #s(literal 1/12 binary64) x))
(.f64 #s(approx ( (+ (* 1/360 (* x x)) 1/12) x) (*.f64 #s(literal 1/12 binary64) x)) x)
(.f64 (.f64 #s(approx (* (+ (* 1/360 (* x x)) 1/12) x) (.f64 #s(literal 1/12 binary64) x)) x) (.f64 x x))
(fma.f64 x x (.f64 (.f64 #s(approx (* (+ (* 1/360 (* x x)) 1/12) x) (.f64 #s(literal 1/12 binary64) x)) x) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 #s(approx (* (+ (* 1/360 (* x x)) 1/12) x) (.f64 #s(literal 1/12 binary64) x)) x) (.f64 x x))))
(neg.f64 x)
(expm1.f64 (neg.f64 x))
(expm1.f64 x)
(neg.f64 (expm1.f64 x))
(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))

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

eval99.0ms (1.8%)

Memory: 8.4MiB live, 147.8MiB allocated; 70ms collecting garbage
Compiler: Compiled 10 889 to 2 061 computations (81.1% saved)

prune20.0ms (0.4%)

Memory

6.8MiB live, 50.4MiB allocated; 10ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	590	4	594
Fresh	0	0	0
Picked	4	0	4
Done	0	3	3
Total	594	7	601

Accuracy

100.0%

Counts

601 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.5%	(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) x) #s(approx (* (+ (* 1/360 (* x x)) 1/12) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 x x)))
✓	99.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
✓	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(approx ( (+ (* 1/360 (* x x)) 1/12) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 x x) x)))
✓	98.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 85 to 54 computations (36.5% saved)

regimes101.0ms (1.8%)

Memory

45.7MiB live, 184.3MiB allocated; 59ms collecting garbage

Counts

3 → 1

8 → 1

13 → 1

14 → 1

15 → 1

17 → 1

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

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

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

Call 2

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

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

Call 3

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

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

Call 4

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

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))

Call 5

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

Outputs
#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)))

Call 6

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

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

Call 7

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

Outputs

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

Calls

14 calls:

36.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
12.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
9.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
6.0ms	x
5.0ms	x

Results

Accuracy	Segments	Branch
98.5%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
98.5%	1	`x`
99.2%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.2%	1	`x`
99.2%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.2%	1	`x`
99.3%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.3%	1	`x`
99.3%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.3%	1	`x`
99.3%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.3%	1	`x`
99.4%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.4%	1	`x`

Compiler

Compiled 325 to 150 computations (53.8% saved)

derivations113.0ms (2.0%)

Memory

-33.4MiB live, 149.5MiB allocated; 48ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 101 to 33 computations (67.3% saved)

preprocess67.0ms (1.2%)

Memory: 6.0MiB live, 153.1MiB allocated; 31ms collecting garbage
Compiler: Compiled 322 to 167 computations (48.1% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample4.1s (73.2%)

preprocess31.0ms (0.6%)

sample0.0ms (0.0%)

series9.0ms (0.2%)

rewrite145.0ms (2.6%)

eval37.0ms (0.7%)

prune10.0ms (0.2%)

sample0.0ms (0.0%)

series24.0ms (0.4%)

rewrite226.0ms (4.1%)

eval104.0ms (1.9%)

prune40.0ms (0.7%)

sample0.0ms (0.0%)

series26.0ms (0.5%)

rewrite152.0ms (2.8%)

eval88.0ms (1.6%)

prune15.0ms (0.3%)

sample0.0ms (0.0%)

series17.0ms (0.3%)

rewrite158.0ms (2.9%)

eval99.0ms (1.8%)

prune20.0ms (0.4%)

regimes101.0ms (1.8%)

derivations113.0ms (2.0%)

preprocess67.0ms (1.2%)

end0.0ms (0.0%)

Profiling