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

0.8MiB live, 0.8MiB 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)

sample3.1s (71.6%)

Memory

41.4MiB live, 2 997.7MiB allocated; 1.3s collecting garbage

Samples

2.5s	5 793×	2	valid
299.0ms	2 332×	1	valid
7.0ms	131×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-exp: 2.0s (78.6% of total)

adjust: 391.0ms (15.0% of total)

ival-sub!: 74.0ms (2.8% of total)

ival-add!: 51.0ms (2.0% of total)

ival-neg: 40.0ms (1.5% of total)

Bogosity

preprocess37.0ms (0.8%)

Memory

-40.8MiB live, 31.1MiB allocated; 16ms 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
▶	52.4%	(+.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

0.1MiB live, 0.1MiB 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

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	286

Stop Event

1×	iter-limit

Counts

7 → 23

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite112.0ms (2.6%)

Memory

18.5MiB live, 109.2MiB allocated; 10ms 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
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

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

eval41.0ms (0.9%)

Memory: 1.5MiB live, 47.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 6 496 to 1 320 computations (79.7% saved)

prune20.0ms (0.4%)

Memory

-26.0MiB live, 23.2MiB allocated; 10ms 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
	52.2%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
▶	53.0%	(/.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
	54.3%	(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
▶	50.8%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
	53.0%	(*.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
▶	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
▶	99.9%	#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))))))))
▶	99.7%	#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 206 to 158 computations (23.3% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
2
1
1/12
1/360
-1

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

Samples

0.0ms

1×

valid

Compiler

Compiled 7 to 7 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series15.0ms (0.3%)

Memory

24.4MiB live, 24.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	821

Stop Event

1×	iter-limit

Counts

27 → 49

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite117.0ms (2.7%)

Memory

4.1MiB live, 140.2MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	191
0	50	188
1	268	188
2	1088	172
0	4101	157

Stop Event

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

Counts

27 → 690

Calls

Call 1

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

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

eval95.0ms (2.2%)

Memory: 4.8MiB live, 145.0MiB allocated; 24ms collecting garbage
Compiler: Compiled 20 295 to 3 012 computations (85.2% saved)

prune20.0ms (0.5%)

Memory

0.7MiB live, 46.1MiB allocated; 6ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	774	8	782
Fresh	1	2	3
Picked	4	1	5
Done	0	0	0
Total	779	11	790

Accuracy

100.0%

Counts

790 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.2%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
✓	53.0%	(/.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
	53.0%	(/.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (exp.f64 (+.f64 x x)))
▶	54.3%	(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) x)))
	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
	99.9%	#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))
▶	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
▶	99.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) x x)))
	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) x x)))
▶	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 343 to 239 computations (30.3% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1/360
1/12
1
2
-2

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

Samples

0.0ms

1×

valid

Compiler

Compiled 7 to 7 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series21.0ms (0.5%)

Memory

-31.5MiB live, 25.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	931

Stop Event

1×	iter-limit

Counts

25 → 54

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
7.0ms	x	inf
3.0ms	x	-inf
3.0ms	x	0

rewrite139.0ms (3.2%)

Memory

-4.6MiB live, 133.0MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	164
0	51	162
1	256	153
2	1008	150
0	4025	147

Stop Event

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

Counts

25 → 896

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x x) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x) (.f64 x x))) (.f64 x x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (neg.f64 x)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x))) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x))) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x))) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x))) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x))) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x))) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (.f64 x x))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x x) x)
(.f64 x (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x x))
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(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
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(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
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(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
#s(literal 2 binary64)
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(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (+.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64))) (.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))) (.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (-.f64 (sinh.f64 x) #s(literal -1 binary64)) (-.f64 (sinh.f64 x) #s(literal -1 binary64)) (*.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (+.f64 (sinh.f64 x) #s(literal 1 binary64)) (+.f64 (sinh.f64 x) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal -2 binary64) (.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64))) (.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))))
(neg.f64 (neg.f64 (expm1.f64 (neg.f64 x))))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(expm1.f64 (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(expm1.f64 (*.f64 x #s(literal -1 binary64)))
(expm1.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal -1 binary64)))
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(neg.f64 x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x)))) (-.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (neg.f64 (exp.f64 x)))
(/.f64 (fma.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) (.f64 (sinh.f64 x) (sinh.f64 x))) (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(neg.f64 (expm1.f64 x))
(-.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(-.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sinh.f64 x) #s(literal -1 binary64)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (exp.f64 x))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (+.f64 (sinh.f64 x) #s(literal -1 binary64)) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))) (-.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal -1 binary64) (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (+.f64 (sinh.f64 x) #s(literal -1 binary64)) (+.f64 (sinh.f64 x) #s(literal -1 binary64))) (.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) (.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1 binary64)))))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(expm1.f64 (neg.f64 (neg.f64 x)))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))

eval100.0ms (2.3%)

Memory: 41.1MiB live, 135.0MiB allocated; 30ms collecting garbage
Compiler: Compiled 19 685 to 3 340 computations (83.0% saved)

prune18.0ms (0.4%)

Memory

-12.2MiB live, 31.9MiB allocated; 5ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	781	3	784
Fresh	2	3	5
Picked	2	3	5
Done	0	1	1
Total	785	10	795

Accuracy

100.0%

Counts

795 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.2%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
✓	53.0%	(/.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
	53.0%	(/.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (exp.f64 (+.f64 x x)))
▶	54.3%	(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
▶	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) x)))
▶	99.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x x) x))
▶	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
✓	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
▶	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) x x)))
✓	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 273 to 189 computations (30.8% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1/360
1/12
1

Outputs
#s(literal 6405119470038039/2305843009213693952 binary64)
#s(literal 6004799503160661/72057594037927936 binary64)
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series18.0ms (0.4%)

Memory

-21.6MiB live, 24.2MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	791

Stop Event

1×	iter-limit

Counts

29 → 44

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite152.0ms (3.5%)

Memory

5.1MiB live, 195.7MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	279
0	62	269
1	318	247
2	1160	241
0	4153	230

Stop Event

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

Counts

29 → 1 166

Calls

Call 1

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

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

eval134.0ms (3.1%)

Memory: 5.7MiB live, 146.8MiB allocated; 18ms collecting garbage
Compiler: Compiled 30 653 to 4 182 computations (86.4% saved)

prune18.0ms (0.4%)

Memory

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

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	1 024	0	1 024
Fresh	0	1	1
Picked	0	5	5
Done	0	4	4
Total	1 024	10	1 034

Accuracy

100.0%

Counts

1 034 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.2%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
✓	53.0%	(/.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
	53.0%	(/.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (exp.f64 (+.f64 x x)))
✓	54.3%	(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
✓	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) x)))
✓	99.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x x) x))
✓	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
✓	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
✓	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) x x)))
✓	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 160 to 112 computations (30.0% saved)

regimes41.0ms (0.9%)

Memory

-39.9MiB live, 59.2MiB allocated; 11ms collecting garbage

Accuracy

Total -31.0b remaining (-2542.4%)

Threshold costs -31b (-2542.4%)

Counts

2 → 1

4 → 1

8 → 1

11 → 1

12 → 1

20 → 1

Calls

Call 1

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

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

Call 2

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

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

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

Call 4

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

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

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

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

Calls

12 calls:

5.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
5.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
5.0ms	x
3.0ms	x
3.0ms	x

Results

Accuracy	Segments	Branch
99.2%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.2%	1	`x`
99.7%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.7%	1	`x`
99.7%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.7%	1	`x`
99.7%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.7%	1	`x`
99.9%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.9%	1	`x`
99.9%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.9%	1	`x`

Compiler

Compiled 376 to 139 computations (63.0% saved)

derivations88.0ms (2.0%)

Memory

33.9MiB live, 78.9MiB allocated; 4ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 119 to 35 computations (70.6% saved)

preprocess52.0ms (1.2%)

Memory: 20.6MiB live, 110.0MiB allocated; 10ms collecting garbage
Remove: (abs x)
Compiler: Compiled 376 to 213 computations (43.4% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample3.1s (71.6%)

preprocess37.0ms (0.8%)

sample0.0ms (0.0%)

series9.0ms (0.2%)

rewrite112.0ms (2.6%)

eval41.0ms (0.9%)

prune20.0ms (0.4%)

sample0.0ms (0.0%)

series15.0ms (0.3%)

rewrite117.0ms (2.7%)

eval95.0ms (2.2%)

prune20.0ms (0.5%)

sample0.0ms (0.0%)

series21.0ms (0.5%)

rewrite139.0ms (3.2%)

eval100.0ms (2.3%)

prune18.0ms (0.4%)

sample0.0ms (0.0%)

series18.0ms (0.4%)

rewrite152.0ms (3.5%)

eval134.0ms (3.1%)

prune18.0ms (0.4%)

regimes41.0ms (0.9%)

derivations88.0ms (2.0%)

preprocess52.0ms (1.2%)

end0.0ms (0.0%)

Profiling