Metrics for Kahan's exp quotient

start0.0ms (0%)

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

analyze2.0ms (0.2%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample569.0ms (49.9%)

Memory

-40.1MiB live, 460.2MiB allocated; 225ms collecting garbage

Samples

395.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-expm1: 86.0ms (53.5% of total)

ival-div!: 73.0ms (45.4% of total)

adjust: 2.0ms (1.2% of total)

Bogosity

preprocess38.0ms (3.3%)

Memory

-11.9MiB live, 33.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	48	20
2	211	20
3	1294	20

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.7%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

series6.0ms (0.5%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	147

Stop Event

1×	iter-limit

Counts

5 → 14

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	inf
0.0ms	x	0

rewrite57.0ms (5%)

Memory

2.0MiB live, 48.5MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	45	14
0	398	10

Stop Event

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

Counts

5 → 77

Calls

Call 1

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

Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (/.f64 (exp.f64 x) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))
(pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (expm1.f64 x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 (exp.f64 x) x) (.f64 x #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) x))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
(neg.f64 (*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (exp.f64 x) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) 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 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))
(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))
(*.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
#s(literal 1 binary64)

eval7.0ms (0.6%)

Memory: 10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 032 to 270 computations (73.8% saved)

prune5.0ms (0.5%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	79	8	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	8	88

Accuracy

100.0%

Counts

88 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.7%	(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
▶	100.0%	(/.f64 (expm1.f64 x) x)
▶	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
▶	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
	69.5%	#s(approx (/ (- (exp x) 1) 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)))))))
	66.0%	#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))))
	51.5%	#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
▶	50.9%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 170 to 138 computations (18.8% saved)

series10.0ms (0.9%)

Memory

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	486

Stop Event

1×	iter-limit

Counts

16 → 37

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite35.0ms (3%)

Memory

-15.7MiB live, 33.0MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	68
0	31	60
0	143	60

Stop Event

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

Counts

16 → 85

Calls

Call 1

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

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

eval9.0ms (0.8%)

Memory: 21.1MiB live, 21.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 754 to 373 computations (78.7% saved)

prune10.0ms (0.9%)

Memory

-29.1MiB live, 13.1MiB allocated; 6ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	1	2	3
Picked	1	4	5
Done	0	0	0
Total	112	9	121

Accuracy

100.0%

Counts

121 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.8%	(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
▶	52.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64))))))
▶	54.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
✓	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
▶	66.0%	#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))))
▶	51.5%	#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
✓	50.9%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 166 to 132 computations (20.5% saved)

series15.0ms (1.3%)

Memory

30.7MiB live, 30.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	766

Stop Event

1×	iter-limit

Counts

31 → 55

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite39.0ms (3.4%)

Memory

-0.1MiB live, 45.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	189
0	56	189
0	295	158

Stop Event

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

Counts

31 → 125

Calls

Call 1

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

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

eval25.0ms (2.2%)

Memory: -13.8MiB live, 32.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 072 to 685 computations (77.7% saved)

prune6.0ms (0.5%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	157	4	161
Fresh	0	0	0
Picked	4	1	5
Done	0	4	4
Total	161	9	170

Accuracy

100.0%

Counts

170 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.8%	(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
▶	52.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
▶	54.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
▶	66.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	51.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	50.9%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 89 to 70 computations (21.3% saved)

series16.0ms (1.4%)

Memory

-29.3MiB live, 22.4MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	395

Stop Event

1×	iter-limit

Counts

18 → 31

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
#s(approx (/ x (- (exp x) 1)) (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 1/12 binary64) x #s(literal -1/2 binary64))
#s(literal 1/12 binary64)

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

Calls

3 calls:

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

rewrite79.0ms (7%)

Memory

17.3MiB live, 105.5MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	115
0	36	115
1	193	115
0	1887	103

Stop Event

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

Counts

18 → 237

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
#s(approx (/ x (- (exp x) 1)) (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 1/12 binary64) x #s(literal -1/2 binary64))
#s(literal 1/12 binary64)

Outputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))
(.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 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) (.f64 #s(literal 1/2 binary64) x))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(.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) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(/.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) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 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)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) x)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x)
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
(fma.f64 (.f64 x (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) (.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))
(fma.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
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(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x) 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 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x) 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 #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)) (fma.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)) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x) 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 (pow.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x)))
(fma.f64 (.f64 x (+.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64))) (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64))
(fma.f64 (+.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) x) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) (*.f64 x #s(literal 1 binary64)) #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 binary64) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 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) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))
(-.f64 (*.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 (neg.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x) 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 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x) 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 (*.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 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x))
(.f64 (.f64 (+.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64)) #s(literal 1/12 binary64)) x)
(.f64 (.f64 (+.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/12 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x))) (*.f64 #s(literal 1/12 binary64) x))
(.f64 (+.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64)) (.f64 #s(literal 1/12 binary64) x))
(.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) x) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/24 binary64))))))
(.f64 (.f64 #s(literal 1/12 binary64) x) (+.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/144 binary64) (.f64 x x))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) x) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/24 binary64))))))
(/.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) x) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (.f64 x #s(literal -1/24 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) x) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) x) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/24 binary64)))) (fma.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/8 binary64))))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
(-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/12 binary64) x))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1/12 binary64)))
(-.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal 1/12 binary64) x)))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) x)) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/24 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/24 binary64))))))
(+.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))
#s(literal 1/12 binary64)

eval29.0ms (2.5%)

Memory: 19.4MiB live, 64.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 5 693 to 997 computations (82.5% saved)

prune16.0ms (1.4%)

Memory

-26.2MiB live, 29.7MiB allocated; 10ms collecting garbage

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	252	3	255
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	252	12	264

Accuracy

100.0%

Counts

264 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.8%	(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
✓	52.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
✓	54.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
	6.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* x -1/2) 1) (*.f64 #s(literal -1/2 binary64) x))))
✓	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
✓	66.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	64.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
✓	51.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
	3.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x 1/2) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	50.9%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 142 to 111 computations (21.8% saved)

regimes46.0ms (4%)

Memory

22.7MiB live, 113.6MiB allocated; 12ms collecting garbage

Accuracy

Total -30.5b remaining (-20.2%)

Threshold costs -30.5b (-20.2%)

Counts

2 → 1

4 → 1

5 → 2

6 → 2

8 → 2

9 → 2

19 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

Outputs

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

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

Call 4

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

Outputs

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

#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))

Call 5

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

Outputs

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

#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))

Call 6

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

Outputs

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

#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))

Call 7

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

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

Calls

14 calls:

7.0ms	x
6.0ms	x
5.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
3.0ms	x

Results

Accuracy	Segments	Branch
50.9%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
50.9%	1	`x`
51.5%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
51.5%	1	`x`
55.3%	3	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
55.3%	2	`x`
68.2%	3	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
68.2%	2	`x`
69.1%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
69.1%	2	`x`
69.5%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
69.5%	2	`x`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
100.0%	1	`x`

Compiler

Compiled 290 to 126 computations (56.6% saved)

bsearch20.0ms (1.8%)

Memory

-15.1MiB live, 25.3MiB allocated; 13ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-5432.2388484458415	-0.5682632142882418

Samples

4.0ms

128×

valid

Compiler

Compiled 225 to 191 computations (15.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-expm1: 1.0ms (49.7% of total)

ival-div!: 1.0ms (49.7% of total)

adjust: 0.0ms (0% of total)

bsearch12.0ms (1%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.15644322107899836	16895707083.877298

Samples

5.0ms

160×

valid

Compiler

Compiled 329 to 277 computations (15.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-expm1: 2.0ms (84.9% of total)

ival-div!: 1.0ms (42.5% of total)

adjust: 0.0ms (0% of total)

bsearch4.0ms (0.4%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	-5432.2388484458415	-0.5682632142882418

Samples

2.0ms

48×

valid

Compiler

Compiled 305 to 255 computations (16.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

adjust: 0.0ms (0% of total)

ival-expm1: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

bsearch2.0ms (0.2%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-5432.2388484458415	-0.5682632142882418

Samples

1.0ms

16×

valid

Compiler

Compiled 241 to 207 computations (14.1% saved)

Precisions

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

adjust: 0.0ms (0% of total)

ival-expm1: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

derivations10.0ms (0.8%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 164 to 48 computations (70.7% saved)

preprocess71.0ms (6.2%)

Memory: -49.1MiB live, 68.6MiB allocated; 54ms collecting garbage
Compiler: Compiled 192 to 65 computations (66.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.2%)

sample569.0ms (49.9%)

preprocess38.0ms (3.3%)

series6.0ms (0.5%)

rewrite57.0ms (5%)

eval7.0ms (0.6%)

prune5.0ms (0.5%)

series10.0ms (0.9%)

rewrite35.0ms (3%)

eval9.0ms (0.8%)

prune10.0ms (0.9%)

series15.0ms (1.3%)

rewrite39.0ms (3.4%)

eval25.0ms (2.2%)

prune6.0ms (0.5%)

series16.0ms (1.4%)

rewrite79.0ms (7%)

eval29.0ms (2.5%)

prune16.0ms (1.4%)

regimes46.0ms (4%)

bsearch20.0ms (1.8%)

bsearch12.0ms (1%)

bsearch4.0ms (0.4%)

bsearch2.0ms (0.2%)

derivations10.0ms (0.8%)

preprocess71.0ms (6.2%)

end0.0ms (0%)

Profiling