Metrics for expq2 (section 3.11)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

1.2MiB live, 1.2MiB 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)

sample490.0ms (48.2%)

Memory

5.8MiB live, 431.3MiB allocated; 121ms collecting garbage

Samples

289.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-exp: 67.0ms (42% of total)

ival-expm1: 48.0ms (30.1% of total)

ival-div!: 43.0ms (27% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess34.0ms (3.4%)

Memory

28.9MiB live, 28.9MiB allocated; 0ms 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
▶	35.6%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 12 to 10 computations (16.7% saved)

series6.0ms (0.6%)

Memory

6.6MiB live, 6.6MiB 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)

rewrite61.0ms (6%)

Memory

-4.7MiB live, 42.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	43	15
0	366	11

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

5 → 60

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

eval6.0ms (0.6%)

Memory: 9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 572 to 247 computations (56.8% saved)

prune8.0ms (0.8%)

Memory

-38.3MiB live, 7.2MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	5	72

Accuracy

100.0%

Counts

72 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	5.0%	(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
▶	100.0%	(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x))))
▶	69.5%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
▶	69.3%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 82 to 72 computations (12.2% saved)

series10.0ms (1%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	405

Stop Event

1×	iter-limit

Counts

20 → 34

Calls

Call 1

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

Outputs
#s(approx (/ 1 (neg (- (exp (neg x)) 1))) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (neg (- (exp (neg x)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ 1 (neg (- (exp (neg 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 (/ 1 (neg (- (exp (neg 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 (neg (- (exp (neg x)) 1)) x)
#s(approx (neg (- (exp (neg x)) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
#s(approx (neg (- (exp (neg x)) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (neg (- (exp (neg x)) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
#s(approx (+ 1 (* 1/2 x)) #s(literal 1 binary64))
#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 (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (- (exp x) 1) (.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 (neg (- (exp (neg x)) 1))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
#s(approx (neg (- (exp (neg x)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64))
#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 (exp x) (exp.f64 x))
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (/ 1 (neg (- (exp (neg x)) 1))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))
#s(approx (neg (- (exp (neg x)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (*.f64 #s(literal -1 binary64) x)))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

rewrite65.0ms (6.4%)

Memory

4.5MiB live, 49.8MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	99
0	38	98
1	173	91
0	1520	90

Stop Event

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

Counts

20 → 315

Calls

Call 1

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

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

eval34.0ms (3.3%)

Memory: -5.4MiB live, 43.0MiB allocated; 11ms collecting garbage
Compiler: Compiled 2 525 to 1 047 computations (58.5% saved)

prune7.0ms (0.7%)

Memory

11.7MiB live, 11.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	305	3	308
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	308	5	313

Accuracy

100.0%

Counts

313 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
✓	69.3%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	69.5%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
▶	3.6%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64)))

Compiler

Compiled 42 to 39 computations (7.1% saved)

series6.0ms (0.6%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	188

Stop Event

1×	iter-limit

Counts

12 → 16

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64)))
#s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
#s(literal -1 binary64)
(expm1.f64 (neg.f64 x))
(neg.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 x x)
#s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64))
#s(approx (/ (+ 1 (* 1/2 x)) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (*.f64 #s(literal -1 binary64) x)))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite59.0ms (5.8%)

Memory

5.4MiB live, 50.8MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	61
0	24	57
1	140	53
0	1351	53

Stop Event

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

Counts

12 → 140

Calls

Call 1

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

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

eval18.0ms (1.8%)

Memory: -18.6MiB live, 24.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 1 010 to 490 computations (51.5% saved)

prune4.0ms (0.4%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	143	5	148

Accuracy

100.0%

Counts

148 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
✓	69.3%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	69.5%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	3.6%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64)))

Compiler

Compiled 42 to 39 computations (7.1% saved)

series3.0ms (0.3%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	94

Stop Event

1×	iter-limit

Counts

6 → 8

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ 1 x) 1 x -1/2)
0.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ 1 x) 1 x -1/2)
0.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ 1 x) 1 x -1/2)

rewrite55.0ms (5.4%)

Memory

-3.4MiB live, 41.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	11	24
1	74	24
0	661	22

Stop Event

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

Counts

6 → 42

Calls

Call 1

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

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64))))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
x
#s(literal -1/2 binary64)

eval4.0ms (0.4%)

Memory: 7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 299 to 172 computations (42.5% saved)

prune3.0ms (0.3%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	43	5	48

Accuracy

100.0%

Counts

48 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
✓	69.3%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	69.5%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	3.6%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64)))

Compiler

Compiled 103 to 78 computations (24.3% saved)

regimes8.0ms (0.8%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))

Calls

3 calls:

3.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms	(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)

regimes16.0ms (1.6%)

Memory

-37.9MiB live, 14.5MiB allocated; 11ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x
1.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
69.5%	1	`(exp.f64 x)`
69.5%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
69.5%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0.3%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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
69.3%	1	`(exp.f64 x)`
69.3%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
69.3%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0.3%)

Memory

6.3MiB live, 6.3MiB 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 (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64)))

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

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
3.6%	1	`(exp.f64 x)`
3.6%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.6%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

derivations16.0ms (1.5%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 32 to 22 computations (31.3% saved)

preprocess96.0ms (9.4%)

Memory: -15.0MiB live, 75.9MiB allocated; 13ms collecting garbage
Compiler: Compiled 44 to 33 computations (25% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample490.0ms (48.2%)

preprocess34.0ms (3.4%)

series6.0ms (0.6%)

rewrite61.0ms (6%)

eval6.0ms (0.6%)

prune8.0ms (0.8%)

series10.0ms (1%)

rewrite65.0ms (6.4%)

eval34.0ms (3.3%)

prune7.0ms (0.7%)

series6.0ms (0.6%)

rewrite59.0ms (5.8%)

eval18.0ms (1.8%)

prune4.0ms (0.4%)

series3.0ms (0.3%)

rewrite55.0ms (5.4%)

eval4.0ms (0.4%)

prune3.0ms (0.3%)

regimes8.0ms (0.8%)

regimes16.0ms (1.6%)

regimes3.0ms (0.3%)

regimes3.0ms (0.3%)

derivations16.0ms (1.5%)

preprocess96.0ms (9.4%)

end0.0ms (0%)

Profiling