Metrics for exp2 (problem 3.3.7)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.4%	49.6%	0%	0%	0%	0
100%	50.4%	0%	49.6%	0%	0%	0%	1

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample2.6s (75.4%)

Memory

41.4MiB live, 855.6MiB allocated; 223ms collecting garbage

Samples

2.0s	5 739×	2	valid
321.0ms	2 379×	1	valid
7.0ms	138×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-exp: 1.6s (76.9% of total)

adjust: 335.0ms (16% of total)

ival-sub!: 67.0ms (3.2% of total)

ival-add!: 49.0ms (2.3% of total)

ival-neg: 34.0ms (1.6% of total)

Bogosity

preprocess67.0ms (2%)

Memory

-35.4MiB live, 9.1MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.0%	(+.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)

series2.0ms (0.1%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Counts

7 → 23

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

rewrite135.0ms (3.9%)

Memory

4.7MiB live, 50.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	307
0	97	299
1	545	284
0	4590	263

Stop Event

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

Counts

30 → 100

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))) (-.f64 (exp.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (exp.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (exp.f64 x) (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)))) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x))) (.f64 (exp.f64 x) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)))) (*.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (fma.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (exp.f64 x) (.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))
(/.f64 (fma.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (exp.f64 x) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -4 binary64))) (neg.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (neg.f64 (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -4 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 4 binary64))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(-.f64 (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) (cosh.f64 x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 4 binary64)))))
(-.f64 (/.f64 (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))))
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x))))
(-.f64 (expm1.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x)))))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 x)
x
#s(literal 2 binary64)
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(approx (- (exp x) 2) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (exp x) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)))
#s(approx (- (exp x) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal -1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (- (exp x) 2) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval8.0ms (0.2%)

Memory: 9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 612 to 342 computations (78.8% saved)

prune3.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	3	93

Accuracy

100.0%

Counts

93 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.9%	(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
▶	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))
▶	99.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Status

Accuracy

Program

▶

50.9%

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

▶

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))

▶

99.5%

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

series6.0ms (0.2%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Counts

13 → 26

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

rewrite154.0ms (4.5%)

Memory

15.5MiB live, 60.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	490
0	122	464
1	639	424
0	5119	395

Stop Event

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

Counts

39 → 372

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (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 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (*.f64 x x))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (.f64 (.f64 (.f64 x x) x) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))))
(.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1 binary64))) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/1728 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/1728 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 1/1728 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1 binary64)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (.f64 x x)) (-.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
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(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (expm1.f64 (+.f64 x x))))
(/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(fma.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) (cosh.f64 x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (cosh.f64 x))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (exp.f64 (neg.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (exp.f64 x))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (exp.f64 x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (cosh.f64 x))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (cosh.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (cosh.f64 x))
(-.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (cosh.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 #s(literal 1/2 binary64) (exp.f64 x))) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 #s(literal -1/2 binary64) (exp.f64 (neg.f64 x))))
(-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
#s(literal 2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
#s(approx x x)
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* 1/12 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/12 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (* (cosh x) 2) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/12 binary64)) x))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/12 binary64)))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* 1/12 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (cosh x) (cosh.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))

eval47.0ms (1.4%)

Memory: -33.9MiB live, 35.1MiB allocated; 25ms collecting garbage
Compiler: Compiled 8 770 to 1 348 computations (84.6% saved)

prune9.0ms (0.3%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	393	3	396
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	394	5	399

Accuracy

100.0%

Counts

399 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.9%	(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
▶	50.6%	(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
▶	50.1%	(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
▶	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
✓	99.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 56 to 42 computations (25% saved)

series4.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Counts

13 → 20

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) (* x x) x 1/12 1 (- (* (cosh x) 2) 2) (* (cosh x) 2) 2 (- (* (cosh x) 2) 2) (* (cosh x) 2) (+ (* x x) 2))
1.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) (* x x) x 1/12 1 (- (* (cosh x) 2) 2) (* (cosh x) 2) 2 (- (* (cosh x) 2) 2) (* (cosh x) 2) (+ (* x x) 2))
1.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) (* x x) x 1/12 1 (- (* (cosh x) 2) 2) (* (cosh x) 2) 2 (- (* (cosh x) 2) 2) (* (cosh x) 2) (+ (* x x) 2))

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

rewrite132.0ms (3.8%)

Memory

1.8MiB live, 48.7MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	402
0	94	380
1	518	343
0	4180	318

Stop Event

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

Counts

33 → 263

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)
(.f64 (.f64 (.f64 (.f64 x x) x) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))))
(.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1 binary64))) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/1728 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/1728 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal 1/1728 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1 binary64)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/1728 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x)) (-.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/1728 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal 1/1728 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x))) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (pow.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x))) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 x x)))))
(fma.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x) (.f64 x x))
(fma.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fabs.f64 x)) (fabs.f64 x) (.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (neg.f64 x)) (neg.f64 x) (.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) x (.f64 x x))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (.f64 #s(literal 1 binary64) x) x (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/12 binary64) (.f64 x x))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x)))
(fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x)))
(fma.f64 x (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x x)) (.f64 x x))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x)))
(fma.f64 x x (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
(-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x)))
(-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(-.f64 (.f64 x x) (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) (*.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x)))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64))))
(.f64 x (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal 1/1728 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal 1/1728 binary64)) (.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
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#s(approx (* (cosh x) 2) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (.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(literal 2 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/12 binary64) x)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (+ (* (* x x) 1/12) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* (* x x) 1/12) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (+ (* x x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))

eval26.0ms (0.7%)

Memory: -24.9MiB live, 21.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 6 515 to 926 computations (85.8% saved)

prune5.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	244	1	245
Fresh	0	0	0
Picked	0	3	3
Done	1	1	2
Total	245	5	250

Accuracy

100.0%

Counts

250 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.6%	(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
✓	50.1%	(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
▶	50.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
✓	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
✓	99.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 64 to 49 computations (23.4% saved)

series2.0ms (0.1%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Counts

6 → 13

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (+ (* (cosh x) 2) -2) (cosh x) x 2 -2)
1.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (+ (* (cosh x) 2) -2) (cosh x) x 2 -2)
0.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (+ (* (cosh x) 2) -2) (cosh x) x 2 -2)

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

rewrite114.0ms (3.3%)

Memory

-6.3MiB live, 39.5MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	231
0	75	220
1	474	202
0	3783	190

Stop Event

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

Counts

19 → 68

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(cosh.f64 x)
x
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))

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

eval6.0ms (0.2%)

Memory: 5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 380 to 282 computations (79.6% saved)

prune4.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	60	5	65

Accuracy

100.0%

Counts

65 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.6%	(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
✓	50.1%	(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
✓	50.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
✓	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
✓	99.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 161 to 86 computations (46.6% saved)

regimes5.0ms (0.1%)

Memory

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

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0.1%)

Memory

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

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.5%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
50.1%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
50.1%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

derivations80.0ms (2.3%)

Memory

-33.8MiB live, 16.0MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 58 to 23 computations (60.3% saved)

preprocess31.0ms (0.9%)

Memory: 34.7MiB live, 34.7MiB allocated; 0ms collecting garbage
Remove: (abs x)
Compiler: Compiled 193 to 123 computations (36.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.6s (75.4%)

preprocess67.0ms (2%)

series2.0ms (0.1%)

rewrite135.0ms (3.9%)

eval8.0ms (0.2%)

prune3.0ms (0.1%)

series6.0ms (0.2%)

rewrite154.0ms (4.5%)

eval47.0ms (1.4%)

prune9.0ms (0.3%)

series4.0ms (0.1%)

rewrite132.0ms (3.8%)

eval26.0ms (0.7%)

prune5.0ms (0.2%)

series2.0ms (0.1%)

rewrite114.0ms (3.3%)

eval6.0ms (0.2%)

prune4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

derivations80.0ms (2.3%)

preprocess31.0ms (0.9%)

end0.0ms (0%)

Profiling