Metrics for expq2 (section 3.11)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	75.2%	24.8%	0%	0%	0%	0
0%	0%	75.2%	24.8%	0%	0%	0%	1
50%	37.6%	37.6%	24.8%	0%	0%	0%	2
75%	56.4%	18.8%	24.8%	0%	0%	0%	3
87.5%	65.8%	9.4%	24.8%	0%	0%	0%	4
93.8%	70.5%	4.7%	24.8%	0%	0%	0%	5
96.9%	72.8%	2.3%	24.8%	0%	0%	0%	6
98.4%	74%	1.2%	24.8%	0%	0%	0%	7
99.2%	74.6%	0.6%	24.8%	0%	0%	0%	8
99.6%	74.9%	0.3%	24.8%	0%	0%	0%	9
99.8%	75%	0.1%	24.8%	0%	0%	0%	10
99.9%	75.1%	0.1%	24.8%	0%	0%	0%	11
100%	75.1%	0%	24.8%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample778.0ms (25%)

Memory

2.8MiB live, 822.4MiB allocated; 235ms collecting garbage

Samples

505.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 302.0ms

ival-div!: 149.0ms (49.3% of total)

ival-exp: 101.0ms (33.4% of total)

ival-expm1: 51.0ms (16.9% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

preprocess67.0ms (2.1%)

Memory

-37.4MiB live, 55.0MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	43	25
2	175	25
3	1003	19

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.7%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 12 to 10 computations (16.7% saved)

series6.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	166

Stop Event

1×	iter-limit

Counts

5 → 15

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx x 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) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)
1.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)
0.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)

rewrite235.0ms (7.6%)

Memory

-9.8MiB live, 331.0MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	43	15
2	141	15
3	680	15
4	7573	15
0	8027	11
1	18720	11

Stop Event

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

Counts

5 → 514

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(.f64 (/.f64 (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (expm1.f64 x) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (expm1.f64 x))) #s(literal 2 binary64))
(.f64 (/.f64 (neg.f64 (exp.f64 x)) (.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x)))) #s(literal 2 binary64))
(.f64 (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (expm1.f64 x))) #s(literal 2 binary64))
(*.f64 (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (expm1.f64 x) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(.f64 (.f64 (expm1.f64 x) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (exp.f64 x)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal 4 binary64))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (expm1.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (exp.f64 x) (expm1.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 x) (expm1.f64 x))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (expm1.f64 x) (exp.f64 x)) (expm1.f64 x)) (expm1.f64 x))
(/.f64 (fma.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (neg.f64 (expm1.f64 x)) (neg.f64 (cosh.f64 x))) (neg.f64 (expm1.f64 x)))
(/.f64 (fma.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (fma.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (expm1.f64 x) (cosh.f64 x)) (expm1.f64 x))
(/.f64 (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (neg.f64 (expm1.f64 x)) (sinh.f64 (neg.f64 x))) (neg.f64 (expm1.f64 x)))
(/.f64 (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)) (.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (expm1.f64 x)))) (.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (expm1.f64 x)))) (.f64 (neg.f64 (expm1.f64 x)) (*.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x) (.f64 (cosh.f64 x) (neg.f64 (expm1.f64 x)))) (.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (neg.f64 (expm1.f64 x)) (.f64 (neg.f64 (cosh.f64 x)) (.f64 #s(literal 2 binary64) (expm1.f64 x)))) (.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (neg.f64 (expm1.f64 x))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (expm1.f64 x)))) (.f64 (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (expm1.f64 x) (.f64 (cosh.f64 x) (.f64 #s(literal 2 binary64) (expm1.f64 x)))) (.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (fma.f64 (sinh.f64 x) (neg.f64 (expm1.f64 x)) (.f64 (neg.f64 (cosh.f64 x)) (expm1.f64 x))) (.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (fma.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (expm1.f64 x))) (.f64 (expm1.f64 x) (*.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (expm1.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))) (.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (neg.f64 (expm1.f64 x)))) (.f64 (neg.f64 (expm1.f64 x)) (*.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) (expm1.f64 x) (.f64 (sinh.f64 x) (neg.f64 (expm1.f64 x)))) (.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (expm1.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (expm1.f64 x)))) (.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (neg.f64 (expm1.f64 x))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (expm1.f64 x)))) (.f64 (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (expm1.f64 x) (.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (expm1.f64 x)))) (.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (fma.f64 (cosh.f64 x) (neg.f64 (expm1.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x))) (.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (fma.f64 (cosh.f64 x) (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (expm1.f64 x))) (.f64 (expm1.f64 x) (*.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)) (.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (cosh.f64 x)))) (.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 (neg.f64 (expm1.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (.f64 (neg.f64 (expm1.f64 x)) (*.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x) (.f64 (neg.f64 (expm1.f64 x)) (cosh.f64 x))) (.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (neg.f64 (expm1.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (expm1.f64 x)) (neg.f64 (cosh.f64 x)))) (.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (neg.f64 (expm1.f64 x))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (.f64 (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (expm1.f64 x) (.f64 (.f64 #s(literal 2 binary64) (expm1.f64 x)) (cosh.f64 x))) (.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (fma.f64 (sinh.f64 x) (neg.f64 (expm1.f64 x)) (.f64 (expm1.f64 x) (neg.f64 (cosh.f64 x)))) (.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (fma.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 (expm1.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (.f64 (expm1.f64 x) (*.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (expm1.f64 x)) (.f64 (neg.f64 (expm1.f64 x)) (sinh.f64 (neg.f64 x)))) (.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 (neg.f64 (expm1.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (.f64 (neg.f64 (expm1.f64 x)) (*.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) (expm1.f64 x) (.f64 (neg.f64 (expm1.f64 x)) (sinh.f64 x))) (.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (expm1.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (expm1.f64 x)) (sinh.f64 (neg.f64 x)))) (.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (neg.f64 (expm1.f64 x))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (.f64 (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (expm1.f64 x) (.f64 (.f64 #s(literal 2 binary64) (expm1.f64 x)) (sinh.f64 x))) (.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (fma.f64 (cosh.f64 x) (neg.f64 (expm1.f64 x)) (.f64 (expm1.f64 x) (sinh.f64 (neg.f64 x)))) (.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (fma.f64 (cosh.f64 x) (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 (expm1.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (.f64 (expm1.f64 x) (*.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 (-.f64 (.f64 (neg.f64 (cosh.f64 x)) (expm1.f64 x)) (.f64 (neg.f64 (expm1.f64 x)) (sinh.f64 (neg.f64 x)))) (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (expm1.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (expm1.f64 x)) (sinh.f64 (neg.f64 x)))) (.f64 (.f64 #s(literal 2 binary64) (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (expm1.f64 x)) (.f64 (expm1.f64 x) (sinh.f64 (neg.f64 x)))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal 8 binary64))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x)))) (.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))) #s(literal 4 binary64)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x))) (.f64 (.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (expm1.f64 x) (sinh.f64 x))) (.f64 #s(literal -2 binary64) (expm1.f64 x)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 (expm1.f64 x) (exp.f64 x))) (.f64 #s(literal -2 binary64) (.f64 (expm1.f64 x) (expm1.f64 x))))
(/.f64 (.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 x))) (.f64 #s(literal -2 binary64) (neg.f64 (expm1.f64 x))))
(/.f64 (.f64 #s(literal -2 binary64) (exp.f64 x)) (.f64 #s(literal -2 binary64) (expm1.f64 x)))
(/.f64 (.f64 #s(literal -2 binary64) (exp.f64 x)) (.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (expm1.f64 x) (sinh.f64 x))) (.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (expm1.f64 x) (exp.f64 x))) (.f64 #s(literal 2 binary64) (.f64 (expm1.f64 x) (expm1.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (expm1.f64 x) (sinh.f64 x))) (expm1.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) (exp.f64 x))) (.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) (expm1.f64 x))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) (exp.f64 x))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
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(fma.f64 #s(literal 1 binary64) (expm1.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sinh.f64 x))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(expm1.f64 x)
(-.f64 (+.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (exp.f64 x))) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (-.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal 0 binary64)))
(-.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 (neg.f64 x)))
(-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (-.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (-.f64 (cosh.f64 x) #s(literal 1 binary64))))
(-.f64 (*.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 binary64) (cosh.f64 x))))
(-.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (neg.f64 (cosh.f64 x)))
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(-.f64 (sinh.f64 x) (-.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(-.f64 (sinh.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 0 binary64)))
(-.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x)))
(-.f64 (cosh.f64 x) (-.f64 #s(literal 1 binary64) (sinh.f64 x)))
(-.f64 (expm1.f64 x) #s(literal 0 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (exp.f64 x))) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 0 binary64)))
(+.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (-.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sinh.f64 x))))
(+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (cosh.f64 x) #s(literal 0 binary64)))
(+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (sinh.f64 x) (.f64 #s(literal -2 binary64) (.f64 (sinh.f64 (/.f64 x #s(literal -2 binary64))) (sinh.f64 (*.f64 x #s(literal 1/2 binary64))))))
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (expm1.f64 x) #s(literal 0 binary64))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
#s(literal 1 binary64)

eval68.0ms (2.2%)

Memory: 16.7MiB live, 106.2MiB allocated; 14ms collecting garbage
Compiler: Compiled 4 829 to 1 439 computations (70.2% saved)

prune10.0ms (0.3%)

Memory

26.6MiB live, 26.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	519	6	525
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	520	6	526

Accuracy

100.0%

Counts

526 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
	63.8%	(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
▶	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
▶	63.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x))
▶	63.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
▶	64.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 108 to 100 computations (7.4% saved)

series59.0ms (1.9%)

Memory

-13.6MiB live, 40.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	464

Stop Event

1×	iter-limit

Counts

21 → 34

Calls

Call 1

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

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx x 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 (+ 1 (* 1/2 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ 1 (* x (+ 1/2 (* 1/12 x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))))
#s(approx (* x (+ 1/2 (* 1/12 x))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x))))
#s(approx (+ 1/2 (* 1/12 x)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/12 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)))) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (/ (+ 1 (* 1/2 x)) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/12 x)))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/12 x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/12 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
#s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64)))))

Calls

3 calls:

Time	Variable		Point	Expression
47.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ 1 (* 1/2 x)) x) (+ 1 (* 1/2 x)) (* 1/2 x) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (+ 1 (* x (+ 1/2 (* 1/12 x)))) (* x (+ 1/2 (* 1/12 x))) (+ 1/2 (* 1/12 x)) (* 1/12 x) 1/12 (* (/ 1 (- (exp x) 1)) (exp x)) (/ 1 (- (exp x) 1)))
4.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ 1 (* 1/2 x)) x) (+ 1 (* 1/2 x)) (* 1/2 x) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (+ 1 (* x (+ 1/2 (* 1/12 x)))) (* x (+ 1/2 (* 1/12 x))) (+ 1/2 (* 1/12 x)) (* 1/12 x) 1/12 (* (/ 1 (- (exp x) 1)) (exp x)) (/ 1 (- (exp x) 1)))
3.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ 1 (* 1/2 x)) x) (+ 1 (* 1/2 x)) (* 1/2 x) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (+ 1 (* x (+ 1/2 (* 1/12 x)))) (* x (+ 1/2 (* 1/12 x))) (+ 1/2 (* 1/12 x)) (* 1/12 x) 1/12 (* (/ 1 (- (exp x) 1)) (exp x)) (/ 1 (- (exp x) 1)))

Time

Variable

Point

Expression

47.0ms

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

4.0ms

-inf

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

3.0ms

inf

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

rewrite303.0ms (9.7%)

Memory

7.6MiB live, 453.8MiB allocated; 125ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	116
0	38	114
1	167	106
2	668	106
3	3155	106
0	8074	99
1	21510	99

Stop Event

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

Counts

21 → 1 669

Calls

Call 1

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

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

eval189.0ms (6.1%)

Memory: 18.2MiB live, 356.3MiB allocated; 100ms collecting garbage
Compiler: Compiled 17 079 to 5 216 computations (69.5% saved)

prune37.0ms (1.2%)

Memory

-0.0MiB live, 93.1MiB allocated; 12ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 779	5	1 784
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	1 781	9	1 790

Accuracy

100.0%

Counts

1 790 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
	63.8%	(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
✓	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
▶	63.8%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
▶	51.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (.f64 x x)))
▶	63.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) x))) x))
✓	64.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	63.7%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶	33.1%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))

Compiler

Compiled 163 to 150 computations (8% saved)

series9.0ms (0.3%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	333

Stop Event

1×	iter-limit

Counts

25 → 23

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
x
#s(literal 1/12 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (.f64 x x)))
(/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (.f64 x x))
(+.f64 x (*.f64 x #s(literal 0 binary64)))
(*.f64 x #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 x x)
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
(+.f64 (/.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
(/.f64 x (*.f64 x x))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) x))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) x))) x)
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x))
#s(approx x x)
#s(approx (* x 0) #s(literal 0 binary64))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* 1/12 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/12 x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ 1 (+ (* (* x x) 1/12) (* 1/2 x))) #s(literal 1 binary64))
#s(approx (+ 1 (+ (* (* x x) 1/12) (* 1/2 x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ 1 (+ (* (* x x) 1/12) (* 1/2 x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))))
#s(approx (+ (* (* x x) 1/12) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (* x x) 1/12) (* 1/2 x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (/ 1 x) -1/2) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1 (+ (* (* x x) 1/12) (* 1/2 x))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (+ (* (* x x) 1/12) (* 1/2 x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (+ (* (* x x) 1/12) (* 1/2 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (- (/ 1 x) -1/2)) x 1/12 (- (/ 1 x) -1/2) (/ 1 x) 1 -1/2 (/ (exp x) (- (exp x) 1)) (/ (exp x) (- (exp x) 1)) (/ (+ x (* x 0)) (* x x)) (+ x (* x 0)) (* x 0) 0 (* x x) (/ (exp x) (- (exp x) 1)) (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (/ x (* x x)) (+ (* 1/12 x) 1/2) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ 1 (+ (* (* x x) 1/12) (* 1/2 x))) x) (+ 1 (+ (* (* x x) 1/12) (* 1/2 x))) (+ (* (* x x) 1/12) (* 1/2 x)) (* 1/2 x))
2.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (- (/ 1 x) -1/2)) x 1/12 (- (/ 1 x) -1/2) (/ 1 x) 1 -1/2 (/ (exp x) (- (exp x) 1)) (/ (exp x) (- (exp x) 1)) (/ (+ x (* x 0)) (* x x)) (+ x (* x 0)) (* x 0) 0 (* x x) (/ (exp x) (- (exp x) 1)) (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (/ x (* x x)) (+ (* 1/12 x) 1/2) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ 1 (+ (* (* x x) 1/12) (* 1/2 x))) x) (+ 1 (+ (* (* x x) 1/12) (* 1/2 x))) (+ (* (* x x) 1/12) (* 1/2 x)) (* 1/2 x))
1.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (- (/ 1 x) -1/2)) x 1/12 (- (/ 1 x) -1/2) (/ 1 x) 1 -1/2 (/ (exp x) (- (exp x) 1)) (/ (exp x) (- (exp x) 1)) (/ (+ x (* x 0)) (* x x)) (+ x (* x 0)) (* x 0) 0 (* x x) (/ (exp x) (- (exp x) 1)) (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (/ x (* x x)) (+ (* 1/12 x) 1/2) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ 1 (+ (* (* x x) 1/12) (* 1/2 x))) x) (+ 1 (+ (* (* x x) 1/12) (* 1/2 x))) (+ (* (* x x) 1/12) (* 1/2 x)) (* 1/2 x))

Time

Variable

Point

Expression

2.0ms

-inf

((/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (- (/ 1 x) -1/2)) x 1/12 (- (/ 1 x) -1/2) (/ 1 x) 1 -1/2 (/ (exp x) (- (exp x) 1)) (/ (exp x) (- (exp x) 1)) (/ (+ x (* x 0)) (* x x)) (+ x (* x 0)) (* x 0) 0 (* x x) (/ (exp x) (- (exp x) 1)) (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (/ x (* x x)) (+ (* 1/12 x) 1/2) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ 1 (+ (* (* x x) 1/12) (* 1/2 x))) x) (+ 1 (+ (* (* x x) 1/12) (* 1/2 x))) (+ (* (* x x) 1/12) (* 1/2 x)) (* 1/2 x))

2.0ms

inf

((/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (- (/ 1 x) -1/2)) x 1/12 (- (/ 1 x) -1/2) (/ 1 x) 1 -1/2 (/ (exp x) (- (exp x) 1)) (/ (exp x) (- (exp x) 1)) (/ (+ x (* x 0)) (* x x)) (+ x (* x 0)) (* x 0) 0 (* x x) (/ (exp x) (- (exp x) 1)) (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (/ x (* x x)) (+ (* 1/12 x) 1/2) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ 1 (+ (* (* x x) 1/12) (* 1/2 x))) x) (+ 1 (+ (* (* x x) 1/12) (* 1/2 x))) (+ (* (* x x) 1/12) (* 1/2 x)) (* 1/2 x))

1.0ms

((/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (- (/ 1 x) -1/2)) x 1/12 (- (/ 1 x) -1/2) (/ 1 x) 1 -1/2 (/ (exp x) (- (exp x) 1)) (/ (exp x) (- (exp x) 1)) (/ (+ x (* x 0)) (* x x)) (+ x (* x 0)) (* x 0) 0 (* x x) (/ (exp x) (- (exp x) 1)) (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (/ x (* x x)) (+ (* 1/12 x) 1/2) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ 1 (+ (* (* x x) 1/12) (* 1/2 x))) x) (+ 1 (+ (* (* x x) 1/12) (* 1/2 x))) (+ (* (* x x) 1/12) (* 1/2 x)) (* 1/2 x))

rewrite309.0ms (9.9%)

Memory

-29.7MiB live, 275.9MiB allocated; 82ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	178
0	45	150
1	271	142
2	1091	142
3	6888	142
0	8064	131
1	15621	131

Stop Event

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

Counts

25 → 1 894

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
x
#s(literal 1/12 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (.f64 x x)))
(/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (.f64 x x))
(+.f64 x (*.f64 x #s(literal 0 binary64)))
(*.f64 x #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 x x)
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
(+.f64 (/.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
(/.f64 x (*.f64 x x))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) x))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) x))) x)
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (copysign.f64 #s(literal 1 binary64) x)) (fabs.f64 x))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (.f64 x x)) (.f64 (.f64 x x) x))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 (.f64 (.f64 (neg.f64 x) x) x) x))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (neg.f64 x)) (.f64 (neg.f64 x) x))
(/.f64 (*.f64 (copysign.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (fabs.f64 x))
(/.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (.f64 (.f64 x x) x))
(/.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) x) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (.f64 (.f64 (.f64 (neg.f64 x) x) x) x))
(/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (.f64 (.f64 (.f64 x x) x) x))
(/.f64 (.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(/.f64 (/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x)) (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x)) x) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) (neg.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (fma.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) x (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (fabs.f64 x) (copysign.f64 #s(literal 1 binary64) x)) (fabs.f64 x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (neg.f64 x) x) x) x) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 (.f64 (.f64 (neg.f64 x) x) x) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (neg.f64 x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x) (*.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)))) (neg.f64 x))
(/.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal -1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 x))) (.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) x) x)) (.f64 x x))
(/.f64 (fma.f64 (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) (fabs.f64 x) (.f64 (copysign.f64 #s(literal 1 binary64) x) (neg.f64 x))) (*.f64 (neg.f64 x) (fabs.f64 x)))
(/.f64 (fma.f64 (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 (.f64 (.f64 (neg.f64 x) x) x) x))
(/.f64 (fma.f64 (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 (neg.f64 x) x) x) x) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) (.f64 (.f64 (*.f64 (neg.f64 x) x) x) x)))
(/.f64 (fma.f64 (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (neg.f64 x) x) x) x)) (.f64 (neg.f64 x) (.f64 (.f64 (*.f64 x x) x) x)))
(/.f64 (fma.f64 (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) (neg.f64 x) (.f64 #s(literal -1 binary64) (neg.f64 x))) (*.f64 x x))
(/.f64 (fma.f64 (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) x (neg.f64 x)) (.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (fabs.f64 x) (.f64 (copysign.f64 #s(literal 1 binary64) x) x)) (*.f64 x (fabs.f64 x)))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (.f64 (.f64 (.f64 (neg.f64 x) x) x) x) (.f64 (.f64 (.f64 (neg.f64 x) x) x) x)) (.f64 x (.f64 (.f64 (*.f64 (neg.f64 x) x) x) x)))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x (.f64 (.f64 (*.f64 x x) x) x)))
(/.f64 (fma.f64 (copysign.f64 #s(literal 1 binary64) x) (neg.f64 x) (.f64 (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) (fabs.f64 x))) (*.f64 (fabs.f64 x) (neg.f64 x)))
(/.f64 (fma.f64 (copysign.f64 #s(literal 1 binary64) x) x (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (fabs.f64 x))) (*.f64 (fabs.f64 x) x))
(/.f64 (fma.f64 (.f64 (neg.f64 x) x) x (.f64 (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 (neg.f64 x) x) x) x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 x x) x) x))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 (neg.f64 x) x) x) x))) (.f64 (.f64 (.f64 (*.f64 (neg.f64 x) x) x) x) (neg.f64 x)))
(/.f64 (fma.f64 (.f64 (.f64 (neg.f64 x) x) x) x (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (.f64 (.f64 (.f64 (neg.f64 x) x) x) x))) (.f64 (.f64 (.f64 (*.f64 (neg.f64 x) x) x) x) x))
(/.f64 (fma.f64 (.f64 (.f64 (neg.f64 x) x) x) x (.f64 (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 (*.f64 x x) x) x) (neg.f64 x)))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(/.f64 (fma.f64 x x (.f64 (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) (.f64 (neg.f64 x) x))) (.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (.f64 (neg.f64 x) x))) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) (neg.f64 x))) (*.f64 x x))
(/.f64 (+.f64 (neg.f64 x) (.f64 (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) x)) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) (.f64 x x))) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 x x (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (.f64 x x))) (.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal -1 binary64)) x (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) x))) (.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x (.f64 x (.f64 #s(literal 1/2 binary64) x))) (.f64 x x))
(/.f64 (fma.f64 (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) (fabs.f64 x) (.f64 (neg.f64 x) (copysign.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 x) (fabs.f64 x)))
(/.f64 (fma.f64 (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) (neg.f64 x) (.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (fma.f64 (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) x (.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) (.f64 x x) (.f64 (neg.f64 x) x)) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (fabs.f64 x) (.f64 x (copysign.f64 #s(literal 1 binary64) x))) (*.f64 x (fabs.f64 x)))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x)) (.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (.f64 x x) (.f64 x x)) (.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (copysign.f64 #s(literal 1 binary64) x) (neg.f64 x) (.f64 (fabs.f64 x) (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))))) (*.f64 (fabs.f64 x) (neg.f64 x)))
(/.f64 (fma.f64 (copysign.f64 #s(literal 1 binary64) x) x (.f64 (fabs.f64 x) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))) (*.f64 (fabs.f64 x) x))
(/.f64 (fma.f64 (.f64 (neg.f64 x) x) x (.f64 (.f64 (.f64 x x) x) (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))))) (.f64 (.f64 (.f64 (neg.f64 x) x) x) x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))) (.f64 (.f64 (.f64 x x) x) x))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) x) x) (.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))))) (.f64 (.f64 (.f64 (*.f64 (neg.f64 x) x) x) x) (neg.f64 x)))
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(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/12 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1/12 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (.f64 #s(literal -1/12 binary64) (.f64 x x)))
(-.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) x))
(-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))
(-.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))))
(+.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 0 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(+.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(+.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)))
(+.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(+.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 x (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (neg.f64 x)))
(neg.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))))
(fma.f64 (.f64 #s(literal 1/12 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1/12 binary64)) (fabs.f64 x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal -1/12 binary64) x) (neg.f64 x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/12 binary64)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/12 binary64)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (neg.f64 x) (.f64 #s(literal -1/12 binary64) x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 (.f64 #s(literal 1/12 binary64) x) x (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1/12 binary64) (.f64 x x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 x (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/12 binary64) (*.f64 x x)))
(+.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
(+.f64 (.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
(+.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))

eval132.0ms (4.2%)

Memory: -0.9MiB live, 229.6MiB allocated; 46ms collecting garbage
Compiler: Compiled 9 999 to 3 635 computations (63.6% saved)

prune41.0ms (1.3%)

Memory

-0.4MiB live, 46.7MiB allocated; 2ms collecting garbage

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1 192	8	1 200
Fresh	0	1	1
Picked	3	2	5
Done	0	3	3
Total	1 195	14	1 209

Accuracy

100.0%

Counts

1 209 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
	63.8%	(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
✓	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
▶	32.5%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x #s(literal 1/2 binary64)))
	32.5%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x #s(literal 1/2 binary64))))
▶	63.8%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
✓	63.8%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
▶	47.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (/.f64 (.f64 (*.f64 x x) x) x)))
▶	45.4%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x))))
	51.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 x #s(approx (* x 0) #s(literal 0 binary64))) (*.f64 x x)))
✓	64.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	63.7%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
	5.3%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 x (-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
▶	3.3%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))

Compiler

Compiled 289 to 268 computations (7.3% saved)

series13.0ms (0.4%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	295

Stop Event

1×	iter-limit

Counts

28 → 24

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
(fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
x
#s(literal 1/12 binary64)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
#s(literal -1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (/.f64 (.f64 (*.f64 x x) x) x)))
(/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (/.f64 (.f64 (*.f64 x x) x) x))
(+.f64 x (*.f64 x #s(literal 0 binary64)))
(*.f64 x #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 (.f64 (.f64 x x) x) x)
(.f64 (.f64 x x) x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x))))
(/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x)))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (.f64 (*.f64 x x) x) x)

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x))
#s(approx x x)
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 x) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (- (/ 1 (* x x)) -1/12) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (/ 1 (* x x)) -1/12) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* x 0) #s(literal 0 binary64))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* (* (* x x) x) x) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (+ (* x 1/12) (/ (+ (* 1/2 x) 1) x)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* x 1/12) (/ (+ (* 1/2 x) 1) x)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
#s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (* x x)) -1/12) #s(literal 1/12 binary64))
#s(approx (- (/ 1 (* x x)) -1/12) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* x 1/12) (/ (+ (* 1/2 x) 1) x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64)))))

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

-inf

((/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (/ (+ (* 1/2 x) 1) x)) x 1/12 (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 1 (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (- (/ 1 x) -1/2)) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (+ (* (- (/ 1 (* x x)) -1/12) x) 1/2) (- (/ 1 (* x x)) -1/12) (/ 1 (* x x)) (* x x) -1/12 (/ (exp x) (- (exp x) 1)) (/ (+ x (* x 0)) (/ (* (* x x) x) x)) (+ x (* x 0)) (* x 0) 0 (/ (* (* x x) x) x) (* (* x x) x) (/ (exp x) (- (exp x) 1)) (/ (+ x (* x 0)) (sqrt (* (* (* x x) x) x))) (sqrt (* (* (* x x) x) x)) (* (* (* x x) x) x))

3.0ms

inf

((/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (/ (+ (* 1/2 x) 1) x)) x 1/12 (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 1 (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (- (/ 1 x) -1/2)) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (+ (* (- (/ 1 (* x x)) -1/12) x) 1/2) (- (/ 1 (* x x)) -1/12) (/ 1 (* x x)) (* x x) -1/12 (/ (exp x) (- (exp x) 1)) (/ (+ x (* x 0)) (/ (* (* x x) x) x)) (+ x (* x 0)) (* x 0) 0 (/ (* (* x x) x) x) (* (* x x) x) (/ (exp x) (- (exp x) 1)) (/ (+ x (* x 0)) (sqrt (* (* (* x x) x) x))) (sqrt (* (* (* x x) x) x)) (* (* (* x x) x) x))

2.0ms

((/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (/ (+ (* 1/2 x) 1) x)) x 1/12 (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 1 (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (- (/ 1 x) -1/2)) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (+ (* (- (/ 1 (* x x)) -1/12) x) 1/2) (- (/ 1 (* x x)) -1/12) (/ 1 (* x x)) (* x x) -1/12 (/ (exp x) (- (exp x) 1)) (/ (+ x (* x 0)) (/ (* (* x x) x) x)) (+ x (* x 0)) (* x 0) 0 (/ (* (* x x) x) x) (* (* x x) x) (/ (exp x) (- (exp x) 1)) (/ (+ x (* x 0)) (sqrt (* (* (* x x) x) x))) (sqrt (* (* (* x x) x) x)) (* (* (* x x) x) x))

rewrite295.0ms (9.5%)

Memory

32.1MiB live, 356.4MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	227
0	54	183
1	293	159
2	1195	151
3	7433	151
0	9114	141
1	16777	141

Stop Event

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

Counts

28 → 1 573

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
(fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
x
#s(literal 1/12 binary64)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
#s(literal -1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (/.f64 (.f64 (*.f64 x x) x) x)))
(/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (/.f64 (.f64 (*.f64 x x) x) x))
(+.f64 x (*.f64 x #s(literal 0 binary64)))
(*.f64 x #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 (.f64 (.f64 x x) x) x)
(.f64 (.f64 x x) x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x))))
(/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x)))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (.f64 (*.f64 x x) x) x)

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

eval224.0ms (7.2%)

Memory: -37.5MiB live, 191.4MiB allocated; 156ms collecting garbage
Compiler: Compiled 10 171 to 4 660 computations (54.2% saved)

prune35.0ms (1.1%)

Memory

-43.5MiB live, 54.5MiB allocated; 15ms collecting garbage

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	1 265	3	1 268
Fresh	1	3	4
Picked	2	3	5
Done	0	5	5
Total	1 268	14	1 282

Accuracy

100.0%

Counts

1 282 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
	63.8%	(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
✓	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
✓	32.5%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x #s(literal 1/2 binary64)))
	32.5%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x #s(literal 1/2 binary64))))
✓	63.8%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
✓	63.8%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	51.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 x x)))
✓	64.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	63.7%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
	96.8%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
	96.8%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
	5.3%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 x (-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
✓	3.3%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))

Compiler

Compiled 282 to 239 computations (15.2% saved)

regimes15.0ms (0.5%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Counts

23 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 x #s(approx (* x 0) #s(literal 0 binary64))) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) x))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (/.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 x (-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))

Calls

3 calls:

6.0ms	x
4.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms	(exp.f64 x)

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes13.0ms (0.4%)

Memory

23.4MiB live, 23.4MiB allocated; 0ms collecting garbage

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 x #s(approx (* x 0) #s(literal 0 binary64))) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) x))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (/.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 x (-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 x (.f64 x #s(literal 0 binary64))) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x))))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))

Calls

3 calls:

5.0ms	x
4.0ms	(exp.f64 x)
3.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
96.8%	1	`(exp.f64 x)`
96.8%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
96.8%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes6.0ms (0.2%)

Memory

-36.3MiB live, 10.4MiB allocated; 3ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
1.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
82.9%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
83.2%	2	`(exp.f64 x)`
83.2%	2	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))

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

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))

Calls

3 calls:

1.0ms	x
1.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
64.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
64.1%	1	`x`
64.1%	1	`(exp.f64 x)`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x
1.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
3.3%	1	`x`
3.3%	1	`(exp.f64 x)`
3.3%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.1498481708530806e-7	0.8441349370957394

Compiler

Compiled 9 to 9 computations (0% saved)

derivations225.0ms (7.2%)

Memory

-18.6MiB live, 121.3MiB allocated; 19ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 44 to 33 computations (25% saved)

preprocess34.0ms (1.1%)

Memory: 34.0MiB live, 79.6MiB allocated; 7ms collecting garbage
Compiler: Compiled 56 to 44 computations (21.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample778.0ms (25%)

preprocess67.0ms (2.1%)

series6.0ms (0.2%)

rewrite235.0ms (7.6%)

eval68.0ms (2.2%)

prune10.0ms (0.3%)

series59.0ms (1.9%)

rewrite303.0ms (9.7%)

eval189.0ms (6.1%)

prune37.0ms (1.2%)

series9.0ms (0.3%)

rewrite309.0ms (9.9%)

eval132.0ms (4.2%)

prune41.0ms (1.3%)

series13.0ms (0.4%)

rewrite295.0ms (9.5%)

eval224.0ms (7.2%)

prune35.0ms (1.1%)

regimes15.0ms (0.5%)

regimes13.0ms (0.4%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

derivations225.0ms (7.2%)

preprocess34.0ms (1.1%)

end0.0ms (0%)

Profiling