Metrics for Kahan's exp quotient

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

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)

sample508.0ms (5.4%)

Memory

-12.8MiB live, 1 047.6MiB allocated

Samples

304.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-expm1: 81.0ms (53.4% of total)

ival-div: 62.0ms (40.9% of total)

ival-true: 6.0ms (4% of total)

ival-assert: 3.0ms (2% of total)

Bogosity

explain91.0ms (1%)

Memory

3.1MiB live, 155.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
119	-	-	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	-	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(exp.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	119	0

Confusion

	Predicted +	Predicted -
+	119	0
-	0	137

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	0	0
-	0	0	137

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	137
1	119

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 39 to 19 computations (51.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-exp: 5.0ms (38.9% of total)

ival-div: 4.0ms (31.1% of total)

ival-expm1: 3.0ms (23.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess54.0ms (0.6%)

Memory

8.2MiB live, 103.0MiB allocated

Algorithm

1×	egg-herbie

Rules

240×	`lower-fma.f64`
240×	`lower-fma.f32`
176×	`lower-*.f64`
176×	`lower-*.f32`
168×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	209	14
4	523	14
5	669	14
6	790	14
7	825	14
8	826	14
0	5	6
0	8	6
1	16	6
2	19	6
3	25	6
4	34	6
5	46	6
6	66	6
7	110	6
8	173	6
9	321	6
10	475	6
11	569	6
12	636	6
13	844	6
14	851	6
15	852	6
0	852	4

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.1%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify37.0ms (0.4%)

Memory

-3.9MiB live, 41.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 x)
cost-diff	0	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
cost-diff	192	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Rules

240×	`lower-fma.f64`
240×	`lower-fma.f32`
176×	`lower-*.f64`
176×	`lower-*.f32`
128×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	16	14
2	19	14
3	25	14
4	34	14
5	46	14
6	66	14
7	110	14
8	173	14
9	321	14
10	475	14
11	569	14
12	636	14
13	844	14
14	851	14
15	852	14
0	852	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

localize39.0ms (0.4%)

Memory

-8.1MiB live, 37.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.00390625	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
accuracy	27.473680479812863	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

33.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 24.0ms (87.4% of total)

ival-exp: 2.0ms (7.3% of total)

ival-expm1: 2.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())

Inputs

#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())

#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())

#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify384.0ms (4.1%)

Memory

3.1MiB live, 238.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 912×	`lower-fma.f64`
6 912×	`lower-fma.f32`
1 616×	`lower-*.f64`
1 616×	`lower-*.f32`
1 056×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	184
1	81	184
2	173	184
3	391	184
4	623	184
5	769	184
6	797	184
7	845	184
8	899	184
9	1593	184
10	4099	184
11	5148	184
12	5374	184
13	5508	184
14	5623	184
15	5629	184
16	5904	184
17	5904	184
18	6088	184
19	6161	184
20	6161	184
21	6369	184
22	6450	184
23	6450	184
0	6450	135

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 35

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)

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

rewrite282.0ms (3%)

Memory

12.4MiB live, 489.1MiB allocated

Rules

5 428×	`lower-/.f32`
5 426×	`lower-/.f64`
3 690×	`lower-*.f64`
3 690×	`lower-*.f32`
2 262×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	35	12
2	220	12
3	2299	12
0	8893	8

Stop Event

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

Counts

3 → 496

Calls

Call 1

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

Outputs
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(+.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x)))
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(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) x)))
(/.f64 (neg.f64 (.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) x)))
(/.f64 (neg.f64 (.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal -1 binary64))) (neg.f64 (.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))))) (neg.f64 (*.f64 x (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (+.f64 x x))))) (neg.f64 (.f64 x (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))))) (neg.f64 (*.f64 (neg.f64 x) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (+.f64 x x))))) (neg.f64 (.f64 (neg.f64 x) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (exp.f64 x) (neg.f64 x)))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (.f64 x x)))) (neg.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) x))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x)))) x)
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) (neg.f64 x)))) (neg.f64 (.f64 x x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (+.f64 x x)) (.f64 x x)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (+.f64 x x)) x))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64))) x)
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (expm1.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (+.f64 x x))))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (fma.f64 x (exp.f64 x) (neg.f64 x)) x)) (neg.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (exp.f64 x) (neg.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x))) (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (expm1.f64 (+.f64 x x)) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (expm1.f64 (+.f64 x x)) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x (expm1.f64 x)) (/.f64 x (expm1.f64 x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 x (expm1.f64 x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))
(*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (expm1.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) x))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) x))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (expm1.f64 x) (fma.f64 x (exp.f64 x) x)))
(.f64 (fma.f64 x (exp.f64 x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (.f64 x #s(literal 3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (+.f64 x x)))))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x)))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (expm1.f64 (+.f64 x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x) (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (expm1.f64 x) x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) x) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 (.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) x) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 x x)) (exp.f64 x)))
(*.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (expm1.f64 (+.f64 x x))) (expm1.f64 x))
(.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) (neg.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (+.f64 x x)) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 x (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (expm1.f64 (+.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(exp.f64 x)
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))

eval65.0ms (0.7%)

Memory: -6.8MiB live, 179.7MiB allocated
Compiler: Compiled 11 352 to 1 472 computations (87% saved)

prune90.0ms (1%)

Memory

8.5MiB live, 288.3MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	523	8	531
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	524	8	532

Accuracy

100.0%

Counts

532 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.2%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
▶	100.0%	(/.f64 (expm1.f64 x) x)
	66.1%	(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x)
▶	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
▶	63.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
▶	60.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	48.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶	48.1%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 130 to 82 computations (36.9% saved)

simplify161.0ms (1.7%)

Memory

12.3MiB live, 170.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(expm1.f64 x)
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
cost-diff	0	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
cost-diff	0	(expm1.f64 x)
cost-diff	0	(/.f64 (expm1.f64 x) x)

Rules

2 808×	`lower-fma.f32`
2 798×	`lower-fma.f64`
840×	`lower-*.f32`
838×	`lower-*.f64`
528×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	95
0	33	93
1	68	93
2	137	93
3	215	93
4	251	93
5	282	93
6	325	93
7	415	93
8	548	93
9	894	93
10	1855	93
11	2228	93
12	2677	93
13	2964	93
14	3048	93
15	3117	93
16	3137	93
17	3137	93
0	3137	93

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize80.0ms (0.9%)

Memory

-12.4MiB live, 218.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(expm1.f64 x)
accuracy	0.0546875	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
accuracy	0.01953125	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	0.07421875	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy	0.1796875	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
accuracy	23.3073341659281	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	0.08203125	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	0.17578125	(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	25.21973403625121	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	33.24147578620312	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
accuracy	0	(expm1.f64 x)
accuracy	0.00390625	(/.f64 (expm1.f64 x) x)

Samples

56.0ms

256×

valid

Compiler

Compiled 99 to 21 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 16.0ms (45.9% of total)

const: 6.0ms (17.2% of total)

ival-div: 5.0ms (14.3% of total)

ival-add: 5.0ms (14.3% of total)

ival-expm1: 2.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

26.4MiB live, 26.4MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#s(alt (/.f64 (expm1.f64 x) x) (patch (/.f64 (expm1.f64 x) x) #<representation binary64>) () ())
#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (expm1.f64 x) x) (patch (/.f64 (expm1.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (/.f64 (expm1.f64 x) x) (patch (/.f64 (expm1.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt (/.f64 (expm1.f64 x) x) (patch (/.f64 (expm1.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (taylor 0 x) (#s(alt (/.f64 (expm1.f64 x) x) (patch (/.f64 (expm1.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (/.f64 (expm1.f64 x) x) (patch (/.f64 (expm1.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (/.f64 (expm1.f64 x) x) (patch (/.f64 (expm1.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (/.f64 (expm1.f64 x) x) (patch (/.f64 (expm1.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (/.f64 (expm1.f64 x) x) (patch (/.f64 (expm1.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (/.f64 (expm1.f64 x) x) (patch (/.f64 (expm1.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (/.f64 (expm1.f64 x) x) (patch (/.f64 (expm1.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (/.f64 (expm1.f64 x) x) (patch (/.f64 (expm1.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (/.f64 (expm1.f64 x) x) (patch (/.f64 (expm1.f64 x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1/6 (* 1/24 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1)
0.0ms	x	@	inf	(+ (* x (+ (* x 1/6) 1/2)) 1)
0.0ms	x	@	-inf	(+ (* x (+ (* x 1/6) 1/2)) 1)
0.0ms	x	@	-inf	(+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1)
0.0ms	x	@	-inf	(/ 1 x)

simplify185.0ms (2%)

Memory

-62.6MiB live, 393.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 284×	`lower-fma.f64`
9 284×	`lower-fma.f32`
2 480×	`lower-*.f64`
2 480×	`lower-*.f32`
2 198×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	874
1	216	874
2	603	858
3	1838	858
4	4744	858
5	7505	858
0	8756	660

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 143

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
x
(* x (+ 1 (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

rewrite326.0ms (3.5%)

Memory

45.8MiB live, 610.2MiB allocated

Rules

11 596×	`lower-fma.f32`
11 586×	`lower-fma.f64`
5 204×	`lower-*.f32`
5 202×	`lower-*.f64`
3 338×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	80
0	33	78
1	149	78
2	1160	78
0	8561	78

Stop Event

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

Counts

12 → 666

Calls

Call 1

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

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

eval122.0ms (1.3%)

Memory: -10.2MiB live, 276.3MiB allocated
Compiler: Compiled 16 811 to 1 525 computations (90.9% saved)

prune182.0ms (1.9%)

Memory

18.0MiB live, 351.5MiB allocated

Pruning

32 alts after pruning (27 fresh and 5 done)

	Pruned	Kept	Total
New	850	25	875
Fresh	1	2	3
Picked	0	5	5
Done	0	0	0
Total	851	32	883

Accuracy

100.0%

Counts

883 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.2%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	66.1%	(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x)
✓	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
	55.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	65.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
	63.4%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	50.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal -1/144 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64))))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	63.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	63.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	63.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	50.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal -1/144 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	50.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	63.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	50.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
▶	63.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	63.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	63.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	60.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
▶	53.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	53.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x x)) (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
	50.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
	63.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
▶	48.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	63.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	52.4%	#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
	18.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
▶	18.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
	18.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
	15.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
	16.0%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
✓	48.1%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 1 140 to 646 computations (43.3% saved)

simplify323.0ms (3.4%)

Memory

4.0MiB live, 434.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
cost-diff	0	(fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
cost-diff	320	(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	128	(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))
cost-diff	128	(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
cost-diff	0	#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
cost-diff	0	#s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x)

Rules

15 428×	`lower-fma.f32`
15 410×	`lower-fma.f64`
3 548×	`lower-*.f32`
3 538×	`lower-*.f64`
1 932×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	413
0	72	413
1	138	413
2	313	413
3	842	413
4	1967	413
5	3696	413
6	5780	413
7	7920	413
0	8260	381

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x)
#s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
x
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
x
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64))))
(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
#s(literal 1/36 binary64)
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(*.f64 x x)
#s(literal 1/576 binary64)
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))
#s(literal 1/6 binary64)
(*.f64 x #s(literal -1/24 binary64))
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
x
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
(.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x))
(*.f64 x x)
#s(literal -1/4 binary64)
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)

Outputs
(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x)
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)) x)
#s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (- (exp x) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)
x
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
x
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64)) (/.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64)) (/.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64)) (/.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64))))
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))
(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(*.f64 x x)
#s(literal 1/576 binary64)
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 x #s(literal -1/24 binary64))
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/72 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/72 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
x
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/72 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/72 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
(.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.f64 x x)
#s(literal -1/4 binary64)
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)

localize189.0ms (2%)

Memory

1.0MiB live, 337.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x))
accuracy	0.1796875	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
accuracy	19.17294378575151	(/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
accuracy	23.3073341659281	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
accuracy	0.33203125	(*.f64 x #s(literal -1/24 binary64))
accuracy	0.4419118775976717	(.f64 (.f64 x x) #s(literal 1/576 binary64))
accuracy	14.384801640244126	(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64))))
accuracy	23.3073341659281	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	0.07421875	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy	0.1796875	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
accuracy	23.3073341659281	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
accuracy	29.102798961672285	#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
accuracy	0.01953125	(fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	23.3073341659281	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	33.15436620847561	#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))
accuracy	0.03515625	(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
accuracy	0.07421875	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy	0.1796875	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
accuracy	21.721796251862923	#s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))

Samples

101.0ms

256×

valid

Compiler

Compiled 335 to 39 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 17.0ms (31% of total)

const: 15.0ms (27.4% of total)

ival-add: 13.0ms (23.7% of total)

ival-div: 5.0ms (9.1% of total)

ival-expm1: 2.0ms (3.6% of total)

ival-sub: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory

-30.8MiB live, 58.5MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#s(alt (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) (patch (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (patch #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (patch (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (patch #s(approx (/ (- (exp x) 1) x) #s(approx (+ ( x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (+ ( x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (patch (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (patch (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (patch (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 1/576 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/576 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal -1/24 binary64)) (patch (.f64 x #s(literal -1/24 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) (patch (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) (patch (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) (patch (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) (patch (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) (patch (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) (patch (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) (patch (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) (patch (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) (patch (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) (patch (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) (patch (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) (patch (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (patch #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (patch #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (patch #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (patch #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (patch #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (patch #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (patch #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (patch #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (patch #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (patch #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (patch #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (patch #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (patch (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (patch (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (patch (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (patch (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (patch (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (patch (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (patch (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (patch (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (patch (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (patch (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (patch (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (patch (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/6 x))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 3)) (taylor inf x) (#s(alt (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/576 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/576 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/576 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/576 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/576 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/576 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/576 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/576 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/576 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/576 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/576 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/576 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/576 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/576 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/576 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/576 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/576 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/576 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/576 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/576 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/576 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/576 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/576 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/576 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/576 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/576 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/576 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/576 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/576 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/576 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/576 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/576 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/576 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/576 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/576 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/576 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/24 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -1/24 binary64)) (patch (.f64 x #s(literal -1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/24 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -1/24 binary64)) (patch (.f64 x #s(literal -1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/24 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -1/24 binary64)) (patch (.f64 x #s(literal -1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/24 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -1/24 binary64)) (patch (.f64 x #s(literal -1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/24 x) (taylor inf x) (#s(alt (.f64 x #s(literal -1/24 binary64)) (patch (.f64 x #s(literal -1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/24 x) (taylor inf x) (#s(alt (.f64 x #s(literal -1/24 binary64)) (patch (.f64 x #s(literal -1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/24 x) (taylor inf x) (#s(alt (.f64 x #s(literal -1/24 binary64)) (patch (.f64 x #s(literal -1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/24 x) (taylor inf x) (#s(alt (.f64 x #s(literal -1/24 binary64)) (patch (.f64 x #s(literal -1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/24 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/24 binary64)) (patch (.f64 x #s(literal -1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/24 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/24 binary64)) (patch (.f64 x #s(literal -1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/24 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/24 binary64)) (patch (.f64 x #s(literal -1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/24 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/24 binary64)) (patch (.f64 x #s(literal -1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/24 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/24 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/24 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 3)) (taylor inf x) (#s(alt (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

69 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(- 1/36 (* (* x x) 1/576))
1.0ms	x	@	inf	(+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4)
0.0ms	x	@	inf	(- 1/36 (* (* x x) 1/576))
0.0ms	x	@	inf	(* (* x x) 1/576)
0.0ms	x	@	inf	(* x -1/24)

simplify236.0ms (2.5%)

Memory

-6.9MiB live, 480.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 084×	`lower-fma.f64`
12 084×	`lower-fma.f32`
3 604×	`lower-*.f64`
3 604×	`lower-*.f32`
2 588×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	1912
1	421	1910
2	1106	1896
3	3206	1888
4	7529	1888
0	8240	1551

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 274

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
1/36
(+ 1/36 (* -1/576 (pow x 2)))
(+ 1/36 (* -1/576 (pow x 2)))
(+ 1/36 (* -1/576 (pow x 2)))
(* -1/576 (pow x 2))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* -1/576 (pow x 2))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
1/6
(+ 1/6 (* -1/24 x))
(+ 1/6 (* -1/24 x))
(+ 1/6 (* -1/24 x))
(* -1/24 x)
(* x (- (* 1/6 (/ 1 x)) 1/24))
(* x (- (* 1/6 (/ 1 x)) 1/24))
(* x (- (* 1/6 (/ 1 x)) 1/24))
(* -1/24 x)
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
-1/4
(- (* 1/36 (pow x 2)) 1/4)
(- (* (pow x 2) (+ 1/36 (* 1/72 x))) 1/4)
(- (* (pow x 2) (+ 1/36 (* x (+ 1/72 (* 1/576 x))))) 1/4)
(* 1/576 (pow x 4))
(* (pow x 4) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 4) (- (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 1 x)))) (* 1/4 (/ 1 (pow x 4)))))
(* 1/576 (pow x 4))
(* (pow x 4) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 4) (+ 1/576 (* -1 (/ (- (* -1 (/ (- 1/36 (* 1/4 (/ 1 (pow x 2)))) x)) 1/72) x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
x
(* x (+ 1 (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
x
(* x (+ 1 (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/6 x)))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
1/36
#s(literal 1/36 binary64)
(+ 1/36 (* -1/576 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64))
(+ 1/36 (* -1/576 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64))
(+ 1/36 (* -1/576 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64))
(* -1/576 (pow x 2))
(.f64 x (.f64 x #s(literal -1/576 binary64)))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64))
(* -1/576 (pow x 2))
(.f64 x (.f64 x #s(literal -1/576 binary64)))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/24 x))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* -1/24 x))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* -1/24 x))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
(* x (- (* 1/6 (/ 1 x)) 1/24))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(* x (- (* 1/6 (/ 1 x)) 1/24))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(* x (- (* 1/6 (/ 1 x)) 1/24))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
-1/4
#s(literal -1/4 binary64)
(- (* 1/36 (pow x 2)) 1/4)
(fma.f64 x (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(- (* (pow x 2) (+ 1/36 (* 1/72 x))) 1/4)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/72 binary64) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(- (* (pow x 2) (+ 1/36 (* x (+ 1/72 (* 1/576 x))))) 1/4)
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/72 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(* 1/576 (pow x 4))
(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64))
(* (pow x 4) (+ 1/576 (* 1/72 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/72 binary64)))
(* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/72 binary64)) #s(literal 1/36 binary64)))
(* (pow x 4) (- (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 1 x)))) (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/72 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(* 1/576 (pow x 4))
(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64))
(* (pow x 4) (+ 1/576 (* 1/72 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/72 binary64)))
(* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/72 binary64)) #s(literal 1/36 binary64)))
(* (pow x 4) (+ 1/576 (* -1 (/ (- (* -1 (/ (- 1/36 (* 1/4 (/ 1 (pow x 2)))) x)) 1/72) x))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/576 binary64) (/.f64 (+.f64 #s(literal 1/72 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))

rewrite353.0ms (3.8%)

Memory

37.8MiB live, 715.4MiB allocated

Rules

4 962×	`lower-/.f32`
4 956×	`lower-/.f64`
4 756×	`lower-fma.f32`
4 742×	`lower-fma.f64`
4 560×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	336
0	72	284
1	314	258
2	2716	258
0	9405	244

Stop Event

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

Counts

23 → 855

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x)
#s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64))))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(*.f64 x #s(literal -1/24 binary64))
(.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 x #s(approx (- (exp x) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)) (neg.f64 x)))
(neg.f64 (/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)) (neg.f64 x)))
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(fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) x (.f64 (.f64 x #s(literal 1/6 binary64)) x))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal 1/216 binary64))) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64))))
(/.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(/.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)))) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) x) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal 1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))))) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal 1/216 binary64)) (.f64 x x))) (neg.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) x)) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 x x) #s(literal 1/6 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x (.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) x) (-.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) x) (.f64 (.f64 x #s(literal 1/6 binary64)) x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) x)
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal 1/216 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal -1/144 binary64) x)))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(.f64 (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal 1/216 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal -1/144 binary64) x)))))

eval415.0ms (4.4%)

Memory: -12.9MiB live, 543.3MiB allocated
Compiler: Compiled 63 759 to 4 142 computations (93.5% saved)

prune478.0ms (5.1%)

Memory

-6.9MiB live, 626.0MiB allocated

Pruning

34 alts after pruning (27 fresh and 7 done)

	Pruned	Kept	Total
New	1 764	21	1 785
Fresh	16	6	22
Picked	3	2	5
Done	0	5	5
Total	1 783	34	1 817

Accuracy

100.0%

Counts

1 817 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.2%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	65.2%	(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64))))) x)) x)
	26.5%	(/.f64 #s(approx (- (exp x) 1) (/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)))) x)
	21.3%	(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))) x)
▶	21.0%	(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))) x)
✓	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
	63.4%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	63.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	63.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	63.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (- 1/36 (* (* x x) 1/576)) (.f64 x (.f64 x #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	47.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (- 1/36 (* (* x x) 1/576)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	63.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	60.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
▶	66.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	52.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
✓	48.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	52.4%	#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
	18.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
	18.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
	18.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (fma.f64 x #s(literal 1/2 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)))))
	10.4%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (/.f64 (.f64 x (fma.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
	18.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
	18.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) x) #s(literal 1/2 binary64)))))
	18.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
✓	18.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
	18.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
▶	18.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)))))
	15.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
	18.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
▶	18.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
▶	3.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
	16.0%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
✓	48.1%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 993 to 535 computations (46.1% saved)

simplify205.0ms (2.2%)

Memory

21.0MiB live, 407.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)))))
cost-diff	320	(.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))
cost-diff	0	(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))
cost-diff	0	#s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))
cost-diff	0	#s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))))
cost-diff	0	(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))) x)
cost-diff	0	#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
cost-diff	0	(.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
cost-diff	0	#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
cost-diff	0	#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))
cost-diff	0	(.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
cost-diff	0	(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
cost-diff	0	(fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))

Rules

9 634×	`lower-fma.f32`
9 620×	`lower-fma.f64`
4 562×	`lower-*.f32`
4 544×	`lower-*.f64`
2 164×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	575
0	78	575
1	147	555
2	313	545
3	903	545
4	2074	545
5	3330	545
6	5069	545
7	5816	545
8	6221	545
9	7883	545
0	8016	507

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
x
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
(.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x))
(*.f64 x x)
#s(literal -1/4 binary64)
(fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
#s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))))
(.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))
x
#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))
(.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
x
#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))) x)
#s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))))
#s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))
#s(literal 1/24 binary64)
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))))
(.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)))
x
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))
(*.f64 x x)
#s(literal -1/576 binary64)
#s(literal 1/36 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
#s(literal -1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)

Outputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (fma.f64 x #s(literal 1/72 binary64) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (fma.f64 x #s(literal 1/72 binary64) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
x
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (fma.f64 x #s(literal 1/72 binary64) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (fma.f64 x #s(literal 1/72 binary64) #s(literal 1/36 binary64))) #s(literal -1/4 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
(.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.f64 x x)
#s(literal -1/4 binary64)
(fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
#s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))))
(.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))
x
#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))
(.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
x
#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))) x)
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) x)
#s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))))
#s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
#s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))
#s(literal 1/24 binary64)
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))
(*.f64 x x)
x
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64)) (/.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))))
#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64)) (/.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))
(.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64)) (/.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
x
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64)) (/.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))
(fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64))
(*.f64 x x)
#s(literal -1/576 binary64)
#s(literal 1/36 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
#s(literal -1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)

localize224.0ms (2.4%)

Memory

-10.2MiB live, 299.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3403493775976717	(fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))
accuracy	14.340211650012568	(.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))
accuracy	23.3073341659281	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)))))
accuracy	29.102798961672285	#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))))
accuracy	0.11328125	(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))
accuracy	0.15234375	(.f64 (.f64 x x) (*.f64 x x))
accuracy	21.721796251862923	#s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))))
accuracy	29.203820006098194	#s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))
accuracy	0.22265625	(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
accuracy	23.3073341659281	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
accuracy	29.102798961672285	#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))
accuracy	29.30282087836473	#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
accuracy	0.02734375	(.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))
accuracy	23.3073341659281	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
accuracy	29.102798961672285	#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))))
accuracy	33.15436620847561	#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))
accuracy	0.1796875	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
accuracy	19.17294378575151	(/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
accuracy	23.3073341659281	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
accuracy	33.477805920079234	#s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64))

Samples

131.0ms

256×

valid

Compiler

Compiled 364 to 41 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-add: 37.0ms (36% of total)

ival-div: 27.0ms (26.2% of total)

ival-mult: 22.0ms (21.4% of total)

const: 14.0ms (13.6% of total)

ival-expm1: 2.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Memory

36.7MiB live, 36.7MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (patch (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))))) (patch #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))) (patch #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))) (patch (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))) (patch #s(approx (/ (- (exp x) 1) x) #s(approx (+ ( x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))) (patch #s(approx (+ ( x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (patch (.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))) x) (patch (/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))) x) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))) (patch #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))) (patch #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) (patch (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))))) (patch #s(approx (/ (- (exp x) 1) x) #s(approx (+ ( x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)))) (patch #s(approx (+ ( x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))) (patch (.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1/576 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/576 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())

Calls

75 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x (+ (* x (* (+ (* (* x x) -1/576) 1/36) (/ 1 (+ (* x -1/24) 1/6)))) 1/2))
0.0ms	x	@	0	(* 1/24 (* (* x x) (* x x)))
0.0ms	x	@	0	(* (+ (* (* x x) -1/576) 1/36) (/ 1 (+ (* x -1/24) 1/6)))
0.0ms	x	@	inf	(* 1/24 (* (* x x) (* x x)))
0.0ms	x	@	0	(* x (+ (* x (* (+ (* (* x x) -1/576) 1/36) (/ 1 (+ (* x -1/24) 1/6)))) 1/2))

simplify283.0ms (3%)

Memory

-32.7MiB live, 358.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 524×	`lower-fma.f64`
12 524×	`lower-fma.f32`
3 474×	`lower-*.f64`
3 474×	`lower-*.f32`
2 394×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	2222
1	390	2220
2	1052	2188
3	3016	2076
4	7173	2076
0	8258	1709

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 298

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
-1/4
(- (* 1/36 (pow x 2)) 1/4)
(- (* (pow x 2) (+ 1/36 (* 1/72 x))) 1/4)
(- (* (pow x 2) (+ 1/36 (* x (+ 1/72 (* 1/576 x))))) 1/4)
(* 1/576 (pow x 4))
(* (pow x 4) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 4) (- (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 1 x)))) (* 1/4 (/ 1 (pow x 4)))))
(* 1/576 (pow x 4))
(* (pow x 4) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 4) (+ 1/576 (* -1 (/ (- (* -1 (/ (- 1/36 (* 1/4 (/ 1 (pow x 2)))) x)) 1/72) x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
1/36
(+ 1/36 (* -1/576 (pow x 2)))
(+ 1/36 (* -1/576 (pow x 2)))
(+ 1/36 (* -1/576 (pow x 2)))
(* -1/576 (pow x 2))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* -1/576 (pow x 2))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
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(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/6 x)))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/24 x)))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/24 x)))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/24 x)))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
1/36
#s(literal 1/36 binary64)
(+ 1/36 (* -1/576 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64))
(+ 1/36 (* -1/576 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64))
(+ 1/36 (* -1/576 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64))
(* -1/576 (pow x 2))
(.f64 x (.f64 x #s(literal -1/576 binary64)))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64))
(* -1/576 (pow x 2))
(.f64 x (.f64 x #s(literal -1/576 binary64)))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(fma.f64 x (*.f64 x #s(literal -1/576 binary64)) #s(literal 1/36 binary64))

rewrite276.0ms (2.9%)

Memory

25.4MiB live, 455.8MiB allocated

Rules

5 378×	`lower-fma.f32`
5 364×	`lower-fma.f64`
4 192×	`lower-*.f32`
4 174×	`lower-*.f64`
4 006×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	499
0	78	481
1	307	455
2	2284	455
0	8790	417

Stop Event

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

Counts

25 → 368

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))))
(.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))
(.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))) x)
#s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))))
#s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))))
(.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)))
#s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))

Outputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
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(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal -1/36 binary64))))
(/.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/576 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64)) (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal -1/36 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/1296 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal -1/36 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/191102976 binary64) #s(literal 1/46656 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (.f64 (*.f64 x x) #s(literal -1/20736 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal -1/36 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/191102976 binary64) #s(literal 1/46656 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) #s(literal -1/20736 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal -1/36 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64)))) (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/576 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64)) (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal -1/36 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal -1/36 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64)) (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal -1/36 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64)) (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal -1/36 binary64))) (fma.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal -1/36 binary64))) (/.f64 #s(literal 1/1296 binary64) (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal -1/36 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64)) (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal -1/36 binary64))) (/.f64 #s(literal 1/1296 binary64) (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal -1/36 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) #s(literal -1/20736 binary64)))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/191102976 binary64) #s(literal 1/46656 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/191102976 binary64) #s(literal 1/46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (.f64 (*.f64 x x) #s(literal -1/20736 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal -1/36 binary64))))

eval124.0ms (1.3%)

Memory: -18.6MiB live, 224.0MiB allocated
Compiler: Compiled 21 894 to 1 630 computations (92.6% saved)

prune204.0ms (2.2%)

Memory

26.1MiB live, 266.5MiB allocated

Pruning

42 alts after pruning (32 fresh and 10 done)

	Pruned	Kept	Total
New	721	21	742
Fresh	11	11	22
Picked	2	3	5
Done	0	7	7
Total	734	42	776

Accuracy

100.0%

Counts

776 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.2%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	26.5%	(/.f64 #s(approx (- (exp x) 1) (/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)))) x)
	21.0%	(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/24 binary64))))) x)
	21.0%	(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))) x)
✓	21.0%	(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))) x)
✓	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
	66.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x) #s(literal 1 binary64)))
	51.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (.f64 x (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64))) (fma.f64 (.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64))) (.f64 x (.f64 #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) (.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64))))) #s(literal -1/8 binary64))) (-.f64 (fma.f64 (.f64 x x) (.f64 #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64))) #s(literal 1/4 binary64)) (.f64 x (.f64 #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
	68.2%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 x (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	63.4%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	63.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	47.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (- 1/36 (* (* x x) 1/576)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	60.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	66.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	53.4%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	66.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	66.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	66.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	66.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) x #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	66.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	63.4%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/72 binary64) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	65.4%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	65.4%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/72 binary64)) #s(literal 1/36 binary64)))) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	65.4%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/72 binary64)))))) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
✓	48.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	52.4%	#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
	68.2%	#s(approx (/ (- (exp x) 1) x) (+.f64 (/.f64 (.f64 x (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	18.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
	18.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
	18.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
	18.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (fma.f64 x #s(literal 1/2 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)))))
	18.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
✓	18.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
	15.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
	18.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))
✓	18.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
	18.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))))
	16.0%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)))))))
✓	3.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
	16.0%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
✓	48.1%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 2 236 to 678 computations (69.7% saved)

regimes44.0ms (0.5%)

Memory

-18.7MiB live, 75.4MiB allocated

Counts

76 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (fma.f64 x #s(literal 1/2 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (- 1/36 (* (* x x) 1/576)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))) x)
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))) x)
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/24 binary64))))) x)
(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64))))) x)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/72 binary64) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (- 1/36 (* (* x x) 1/576)) (.f64 x (.f64 x #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) x) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/72 binary64)))))) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/72 binary64)) #s(literal 1/36 binary64)))) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
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#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) x #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
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#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal -1/144 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64))))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x x)) (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (.f64 x (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64))) (fma.f64 (.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64))) (.f64 x (.f64 #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) (.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64))))) #s(literal -1/8 binary64))) (-.f64 (fma.f64 (.f64 x x) (.f64 #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64))) #s(literal 1/4 binary64)) (.f64 x (.f64 #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))

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

Calls

2 calls:

22.0ms	x
16.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes45.0ms (0.5%)

Memory

-11.7MiB live, 77.5MiB allocated

Counts

73 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (fma.f64 x #s(literal 1/2 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (- 1/36 (* (* x x) 1/576)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))) x)
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))) x)
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/24 binary64))))) x)
(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64))))) x)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/72 binary64) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (- 1/36 (* (* x x) 1/576)) (.f64 x (.f64 x #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) x) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/72 binary64)))))) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/72 binary64)) #s(literal 1/36 binary64)))) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) x #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (/.f64 (.f64 x (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (/.f64 (.f64 x (fma.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 x (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal -1/144 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal -1/144 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64))))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x x)) (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (.f64 x (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64))) (fma.f64 (.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64))) (.f64 x (.f64 #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) (.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64))))) #s(literal -1/8 binary64))) (-.f64 (fma.f64 (.f64 x x) (.f64 #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64))) #s(literal 1/4 binary64)) (.f64 x (.f64 #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))

Outputs

#s(approx (/ (- (exp x) 1) x) (+.f64 (/.f64 (*.f64 x (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))

Calls

2 calls:

23.0ms	x
17.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
68.2%	1	`x`
68.2%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes33.0ms (0.3%)

Memory

15.1MiB live, 58.4MiB allocated

Counts

53 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (fma.f64 x #s(literal 1/2 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (- 1/36 (* (* x x) 1/576)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))) x)
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))) x)
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/24 binary64))))) x)
(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64))))) x)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/72 binary64) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (- 1/36 (* (* x x) 1/576)) (.f64 x (.f64 x #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) x) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/72 binary64)))))) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/72 binary64)) #s(literal 1/36 binary64)))) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) x #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))

Outputs

#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))

Calls

2 calls:

18.0ms	x
12.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
66.1%	1	`x`
66.1%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes30.0ms (0.3%)

Memory

-4.3MiB live, 53.6MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (fma.f64 x #s(literal 1/2 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (- 1/36 (* (* x x) 1/576)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))) x)
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))) x)
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/24 binary64))))) x)
(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64))))) x)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/72 binary64) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (- 1/36 (* (* x x) 1/576)) (.f64 x (.f64 x #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) x) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/72 binary64)))))) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/72 binary64)) #s(literal 1/36 binary64)))) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))

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

Calls

2 calls:

16.0ms	x
11.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
66.1%	1	`x`
66.1%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes18.0ms (0.2%)

Memory

-9.0MiB live, 37.2MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (fma.f64 x #s(literal 1/2 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (- 1/36 (* (* x x) 1/576)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))) x)
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))) x)
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/24 binary64))))) x)
(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64))))) x)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))

Outputs

#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (- 1/36 (* (* x x) 1/576)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

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

Calls

2 calls:

10.0ms	x
7.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
66.8%	2	`x`
66.8%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

28.6MiB live, 28.6MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (fma.f64 x #s(literal 1/2 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (- 1/36 (* (* x x) 1/576)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
63.6%	1	`x`
63.6%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-24.1MiB live, 22.1MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
64.0%	2	`x`
64.0%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

24.2MiB live, 24.2MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
64.0%	2	`x`
64.0%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes30.0ms (0.3%)

Memory

-32.3MiB live, 13.2MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (/ (+ (* (+ (* x 1/24) 1/6) (* (+ (* x 1/24) 1/6) (* x x))) -1/4) (+ (* x (+ (* x 1/24) 1/6)) -1/2))) 1) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))

Outputs

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

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

Calls

2 calls:

25.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
64.0%	2	`x`
64.0%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
60.6%	1	`x`
60.6%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
60.5%	2	`x`
60.5%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
60.5%	2	`x`
60.5%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes4.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Accuracy

Total -28.8b remaining (-86.6%)

Threshold costs -28.8b (-86.6%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
48.1%	1	`x`
48.1%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0244334538648703	+inf

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0244334538648703	+inf

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0244334538648703	+inf

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0244334538648703	+inf

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0244334538648703	+inf

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0244334538648703	+inf

Compiler

Compiled 10 to 9 computations (10% saved)

simplify25.0ms (0.3%)

Memory

-44.9MiB live, 13.9MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
8×	`+-commutative_binary64`
4×	`unsub-neg_binary64`
4×	`sub-neg_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	447
1	113	447
2	117	447
3	120	447
4	123	447
5	126	447

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
#s(approx (/ (- (exp x) 1) x) (+.f64 (/.f64 (.f64 x (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x)
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (- 1/36 (* (* x x) 1/576)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (- (exp x) 1) #s(approx (+ ( x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))) x))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Outputs
(/.f64 (expm1.f64 x) x)
#s(approx (/ (- (exp x) 1) x) (+.f64 (/.f64 (.f64 x (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) (fma.f64 x #s(approx (+ (* x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x)
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (- 1/36 (* (* x x) 1/576)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (- (exp x) 1) #s(approx (+ ( x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))) x))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (- 1/36 (* (* x x) 1/576)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (- (exp x) 1) #s(approx (+ ( x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))) x))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

soundness3.0s (32.2%)

Memory

46.8MiB live, 1 220.8MiB allocated

Rules

12 084×	`lower-fma.f64`
12 084×	`lower-fma.f32`
11 596×	`lower-fma.f32`
11 586×	`lower-fma.f64`
9 284×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	874
1	216	874
2	603	858
3	1838	858
4	4744	858
5	7505	858
0	8756	660
0	20	80
0	33	78
1	149	78
2	1160	78
0	8561	78
0	26	184
1	81	184
2	173	184
3	391	184
4	623	184
5	769	184
6	797	184
7	845	184
8	899	184
9	1593	184
10	4099	184
11	5148	184
12	5374	184
13	5508	184
14	5623	184
15	5629	184
16	5904	184
17	5904	184
18	6088	184
19	6161	184
20	6161	184
21	6369	184
22	6450	184
23	6450	184
0	6450	135
0	130	1912
1	421	1910
2	1106	1896
3	3206	1888
4	7529	1888
0	8240	1551
0	52	499
0	78	481
1	307	455
2	2284	455
0	8790	417
0	5	12
0	8	12
1	35	12
2	220	12
3	2299	12
0	8893	8

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 574 to 271 computations (52.8% saved)

preprocess120.0ms (1.3%)

Memory: 0.4MiB live, 187.9MiB allocated
Compiler: Compiled 552 to 142 computations (74.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	209	14
4	523	14
5	669	14
6	790	14
7	825	14
8	826	14
0	5	6
0	8	6
1	16	6
2	19	6
3	25	6
4	34	6
5	46	6
6	66	6
7	110	6
8	173	6
9	321	6
10	475	6
11	569	6
12	636	6
13	844	6
14	851	6
15	852	6
0	852	4

Iter	Nodes	Cost
0	5	14
0	8	14
1	16	14
2	19	14
3	25	14
4	34	14
5	46	14
6	66	14
7	110	14
8	173	14
9	321	14
10	475	14
11	569	14
12	636	14
13	844	14
14	851	14
15	852	14
0	852	10

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	209	14
4	523	14
5	669	14
6	790	14
7	825	14
8	826	14
0	5	6
0	8	6
1	16	6
2	19	6
3	25	6
4	34	6
5	46	6
6	66	6
7	110	6
8	173	6
9	321	6
10	475	6
11	569	6
12	636	6
13	844	6
14	851	6
15	852	6
0	852	4

Iter	Nodes	Cost
0	5	14
0	8	14
1	16	14
2	19	14
3	25	14
4	34	14
5	46	14
6	66	14
7	110	14
8	173	14
9	321	14
10	475	14
11	569	14
12	636	14
13	844	14
14	851	14
15	852	14
0	852	10

start0.0ms (0%)

analyze1.0ms (0%)

sample508.0ms (5.4%)

explain91.0ms (1%)

preprocess54.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify37.0ms (0.4%)

localize39.0ms (0.4%)

series2.0ms (0%)

simplify384.0ms (4.1%)

rewrite282.0ms (3%)

eval65.0ms (0.7%)

prune90.0ms (1%)

simplify161.0ms (1.7%)

localize80.0ms (0.9%)

series8.0ms (0.1%)

simplify185.0ms (2%)

rewrite326.0ms (3.5%)

eval122.0ms (1.3%)

prune182.0ms (1.9%)

simplify323.0ms (3.4%)

localize189.0ms (2%)

series24.0ms (0.3%)

simplify236.0ms (2.5%)

rewrite353.0ms (3.8%)

eval415.0ms (4.4%)

prune478.0ms (5.1%)

simplify205.0ms (2.2%)

localize224.0ms (2.4%)

series17.0ms (0.2%)

simplify283.0ms (3%)

rewrite276.0ms (2.9%)

eval124.0ms (1.3%)

prune204.0ms (2.2%)

regimes44.0ms (0.5%)

regimes45.0ms (0.5%)

regimes33.0ms (0.3%)

regimes30.0ms (0.3%)

regimes18.0ms (0.2%)

regimes14.0ms (0.2%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes30.0ms (0.3%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify25.0ms (0.3%)

soundness3.0s (32.2%)

preprocess120.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	209	14
4	523	14
5	669	14
6	790	14
7	825	14
8	826	14
0	5	6
0	8	6
1	16	6
2	19	6
3	25	6
4	34	6
5	46	6
6	66	6
7	110	6
8	173	6
9	321	6
10	475	6
11	569	6
12	636	6
13	844	6
14	851	6
15	852	6
0	852	4

Iter	Nodes	Cost
0	5	14
0	8	14
1	16	14
2	19	14
3	25	14
4	34	14
5	46	14
6	66	14
7	110	14
8	173	14
9	321	14
10	475	14
11	569	14
12	636	14
13	844	14
14	851	14
15	852	14
0	852	10