Metrics for Kahan's exp quotient

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

sample639.0ms (6.3%)

Memory

20.8MiB live, 528.9MiB allocated

Samples

419.0ms

8 256×

valid

Precisions

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

ival-expm1: 95.0ms (59.1% of total)

ival-div: 58.0ms (36.1% of total)

ival-true: 5.0ms (3.1% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

explain84.0ms (0.8%)

Memory

3.4MiB live, 93.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
132	-	-	`(-.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	132	0

Confusion

	Predicted +	Predicted -
+	132	0
-	0	124

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	0
-	0	0	124

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	124
1	132

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms

512×

valid

Compiler

Compiled 39 to 19 computations (51.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (35.1% of total)

ival-exp: 4.0ms (35.1% of total)

ival-expm1: 3.0ms (26.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess62.0ms (0.6%)

Memory

12.3MiB live, 51.3MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.5%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify45.0ms (0.4%)

Memory

-25.9MiB live, 13.1MiB 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)

localize17.0ms (0.2%)

Memory

22.8MiB live, 22.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.015625	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
accuracy	30.285339292217422	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (35.9% of total)

ival-exp: 2.0ms (35.9% of total)

ival-expm1: 2.0ms (35.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

3.2MiB live, 3.2MiB 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	@	-inf	(- (exp x) 1)

simplify361.0ms (3.6%)

Memory

-24.4MiB live, 219.5MiB 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)

rewrite232.0ms (2.3%)

Memory

26.7MiB live, 534.4MiB 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))

eval118.0ms (1.2%)

Memory: -15.1MiB live, 154.6MiB allocated
Compiler: Compiled 11 352 to 1 472 computations (87% saved)

prune83.0ms (0.8%)

Memory

-15.1MiB live, 222.6MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	522	9	531
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	523	9	532

Accuracy

100.0%

Counts

532 → 9

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)
	69.9%	(/.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))
	75.3%	(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)))
▶	68.2%	#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)))
▶	65.5%	#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)))
	52.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶	52.6%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 156 to 98 computations (37.2% saved)

simplify130.0ms (1.3%)

Memory

3.5MiB live, 113.4MiB 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)

localize99.0ms (1%)

Memory

9.6MiB live, 134.4MiB 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	0.03515625	(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	0.05859375	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy	0.16015625	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
accuracy	20.13306445194313	#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	0.0703125	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	0.1640625	(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	21.81994266704848	#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	30.083194471625838	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
accuracy	0	(expm1.f64 x)
accuracy	0.015625	(/.f64 (expm1.f64 x) x)

Samples

70.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 99 to 21 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 41.0ms (69.8% of total)

const: 6.0ms (10.2% of total)

ival-add: 5.0ms (8.5% of total)

ival-div: 4.0ms (6.8% of total)

ival-expm1: 2.0ms (3.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB 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>) () ())) ())
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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 (+ 1/6 (* 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	@	0	(+ (* x (+ (* x 1/6) 1/2)) 1)

simplify201.0ms (2%)

Memory

-20.0MiB live, 260.1MiB 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)

rewrite303.0ms (3%)

Memory

-8.8MiB live, 554.8MiB 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))
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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)))

eval104.0ms (1%)

Memory: 6.7MiB live, 241.3MiB allocated
Compiler: Compiled 16 811 to 1 525 computations (90.9% saved)

prune122.0ms (1.2%)

Memory

7.1MiB live, 335.5MiB allocated

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	854	21	875
Fresh	1	3	4
Picked	0	5	5
Done	0	0	0
Total	855	29	884

Accuracy

100.0%

Counts

884 → 29

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)
	69.9%	(/.f64 #s(approx (- (exp x) 1) (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)) x)
	69.9%	(/.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))
▶	69.9%	(.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (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)))
▶	75.3%	(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)))
	68.2%	#s(approx (/ (- (exp x) 1) 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))) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
	58.4%	#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)))
	68.2%	#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)))
	68.2%	#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)))
✓	68.2%	#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)))
▶	55.1%	#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)))
	68.2%	#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)))
	55.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	68.2%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (+.f64 (*.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) (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)))
✓	65.5%	#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)))
	56.9%	#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)))
	68.2%	#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)))
▶	52.7%	#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)))
	65.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	56.0%	#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)))))
▶	18.7%	#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)))))
	16.2%	#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)))))
	16.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
✓	52.6%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 870 to 504 computations (42.1% saved)

simplify195.0ms (1.9%)

Memory

15.7MiB live, 366.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(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))
cost-diff	0	#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)))
cost-diff	128	(+.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal -1/144 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))
cost-diff	320	(fma.f64 x #s(literal -1/144 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
cost-diff	0	(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)
cost-diff	0	#s(approx (- (exp x) 1) (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))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (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)))
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 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))
cost-diff	0	(+.f64 x x)
cost-diff	0	(expm1.f64 (+.f64 x x))
cost-diff	7296	(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)))

Rules

11 992×	`lower-fma.f32`
11 974×	`lower-fma.f64`
2 494×	`lower-*.f32`
2 482×	`lower-*.f64`
2 470×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	368
0	79	356
1	152	346
2	317	346
3	564	342
4	915	342
5	1655	342
6	4477	342
0	8632	317

Stop Event

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

Calls

Call 1

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

Outputs
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (+.f64 x x))
(+.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))
#s(literal 1 binary64)
(fma.f64 x (exp.f64 x) x)
(exp.f64 x)
#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)
(.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (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)))
(/.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(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (exp x) 1) (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))
#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 (*.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)
(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 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 (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 x (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(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))
(fma.f64 x (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
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))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))) #s(literal 1/2 binary64))
(/.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)))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(.f64 x (.f64 x 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))))
(fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(fma.f64 x #s(literal -1/144 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
#s(literal -1/144 binary64)
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
#s(literal 1/576 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize154.0ms (1.5%)

Memory

-25.7MiB live, 300.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(.f64 (.f64 x x) #s(literal 1/576 binary64))
accuracy	0.21484375	(fma.f64 x #s(literal -1/144 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
accuracy	9.443505427639895	(/.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)))))
accuracy	15.648584451056031	#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)))
accuracy	0.03125	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy	0.0546875	(.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (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)))
accuracy	0.08203125	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
accuracy	15.718972366074453	#s(approx (- (exp x) 1) (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))
accuracy	0.03125	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy	0.08203125	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
accuracy	15.648584451056031	#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	32.24399816483984	#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	0.01171875	(fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	15.648584451056031	#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	15.671825932578754	#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))
accuracy	0	(expm1.f64 (+.f64 x x))
accuracy	0	(exp.f64 x)
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))
accuracy	0.44921875000000006	(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)))

Samples

79.0ms	195×	0	valid
24.0ms	61×	0	exit

Compiler

Compiled 306 to 44 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 25.0ms (30.5% of total)

const: 23.0ms (28.1% of total)

ival-add: 22.0ms (26.9% of total)

ival-div: 6.0ms (7.3% of total)

ival-expm1: 3.0ms (3.7% of total)

ival-exp: 2.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory

6.6MiB live, 45.0MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#s(alt (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) (patch (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) #<representation binary64>) () ())
#s(alt (expm1.f64 (+.f64 x x)) (patch (expm1.f64 (+.f64 x x)) #<representation binary64>) () ())
#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)) #<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 (.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 (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 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (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))) (patch (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (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))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) 1) (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)) (patch #s(approx (- (exp x) 1) (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)) #<representation binary64>) () ())
#s(alt (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) (patch (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) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -1/144 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (patch (fma.f64 x #s(literal -1/144 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal -1/144 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (patch (+.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal -1/144 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<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 (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))))) (patch (/.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))))) #<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>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) (patch (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) (patch (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) (patch (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.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 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) (patch (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x)))) (taylor inf x) (#s(alt (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) (patch (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x)))) (taylor inf x) (#s(alt (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) (patch (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x)))) (taylor inf x) (#s(alt (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) (patch (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x)))) (taylor inf x) (#s(alt (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) (patch (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1)))) (taylor -inf x) (#s(alt (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) (patch (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1)))) (taylor -inf x) (#s(alt (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) (patch (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1)))) (taylor -inf x) (#s(alt (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) (patch (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1)))) (taylor -inf x) (#s(alt (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) (patch (.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (expm1.f64 (+.f64 x x)) (patch (expm1.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (expm1.f64 (+.f64 x x)) (patch (expm1.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* 4/3 x))))) (taylor 0 x) (#s(alt (expm1.f64 (+.f64 x x)) (patch (expm1.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x))))))) (taylor 0 x) (#s(alt (expm1.f64 (+.f64 x x)) (patch (expm1.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 x)) 1) (taylor inf x) (#s(alt (expm1.f64 (+.f64 x x)) (patch (expm1.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 x)) 1) (taylor inf x) (#s(alt (expm1.f64 (+.f64 x x)) (patch (expm1.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 x)) 1) (taylor inf x) (#s(alt (expm1.f64 (+.f64 x x)) (patch (expm1.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 x)) 1) (taylor inf x) (#s(alt (expm1.f64 (+.f64 x x)) (patch (expm1.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (* -2 x))) 1) (taylor -inf x) (#s(alt (expm1.f64 (+.f64 x x)) (patch (expm1.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (* -2 x))) 1) (taylor -inf x) (#s(alt (expm1.f64 (+.f64 x x)) (patch (expm1.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (* -2 x))) 1) (taylor -inf x) (#s(alt (expm1.f64 (+.f64 x x)) (patch (expm1.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (* -2 x))) 1) (taylor -inf x) (#s(alt (expm1.f64 (+.f64 x x)) (patch (expm1.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))) (taylor inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 3)) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<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>) () ())) ())
#s(alt 1/6 (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 (+ 1/6 (* 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 (+ 1/6 (* 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 (+ 1/6 (* 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 1/6 (taylor 0 x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/24 x)) (taylor 0 x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/24 x)) (taylor 0 x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/24 x)) (taylor 0 x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (/.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))))) (patch (/.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))))) #<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>) () ())) ())

Calls

69 calls:

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

simplify223.0ms (2.2%)

Memory

0.8MiB live, 398.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 066×	`lower-fma.f64`
14 066×	`lower-fma.f32`
4 542×	`lower-*.f64`
4 542×	`lower-*.f32`
2 760×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	1926
1	480	1925
2	1248	1908
3	3717	1842
0	8720	1517

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 (* 2 x)) 1) (* x (+ 1 (exp x))))
(/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))
(/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))
(/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))
(* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1))))
(* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1))))
(* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1))))
(* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(- (exp (* 2 x)) 1)
(- (exp (* 2 x)) 1)
(- (exp (* 2 x)) 1)
(- (exp (* 2 x)) 1)
(- (exp (neg (* -2 x))) 1)
(- (exp (neg (* -2 x))) 1)
(- (exp (neg (* -2 x))) 1)
(- (exp (neg (* -2 x))) 1)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ 1/2 x)
(/ (+ 1/2 (* -1/4 x)) x)
(/ (+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4))) x)
(/ (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4))) x)
(/ 1 (* x (+ 1 (exp x))))
(/ 1 (* x (+ 1 (exp x))))
(/ 1 (* x (+ 1 (exp x))))
(/ 1 (* x (+ 1 (exp x))))
(/ -1 (* x (- (* -1 (exp x)) 1)))
(/ -1 (* x (- (* -1 (exp x)) 1)))
(/ -1 (* x (- (* -1 (exp x)) 1)))
(/ -1 (* 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))))))
(* 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 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 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 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))))
(* -1/144 x)
(* x (- (* 1/576 x) 1/144))
(* x (- (* 1/576 x) 1/144))
(* x (- (* 1/576 x) 1/144))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
1/36
(+ 1/36 (* -1/144 x))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))
(* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) 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
(+ 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)
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))

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 (* 2 x)) 1) (* x (+ 1 (exp x))))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1))))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1))))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1))))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1))))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(* 2 x)
(+.f64 x x)
(* x (+ 2 (* 2 x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (+.f64 x x)))
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal 4/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(- (exp (* 2 x)) 1)
(expm1.f64 (+.f64 x x))
(- (exp (* 2 x)) 1)
(expm1.f64 (+.f64 x x))
(- (exp (* 2 x)) 1)
(expm1.f64 (+.f64 x x))
(- (exp (* 2 x)) 1)
(expm1.f64 (+.f64 x x))
(- (exp (neg (* -2 x))) 1)
(expm1.f64 (+.f64 x x))
(- (exp (neg (* -2 x))) 1)
(expm1.f64 (+.f64 x x))
(- (exp (neg (* -2 x))) 1)
(expm1.f64 (+.f64 x x))
(- (exp (neg (* -2 x))) 1)
(expm1.f64 (+.f64 x x))
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* -1/4 x)) x)
(/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4))) x)
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4))) x)
(/.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)
(/ 1 (* x (+ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))
(/ 1 (* x (+ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))
(/ 1 (* x (+ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))
(/ 1 (* x (+ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))
(/ -1 (* x (- (* -1 (exp x)) 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))
(/ -1 (* x (- (* -1 (exp x)) 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))
(/ -1 (* x (- (* -1 (exp x)) 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))
(/ -1 (* x (- (* -1 (exp x)) 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (exp.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 (* 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 x (.f64 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 x (.f64 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
#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 x (.f64 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))))))
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(* 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 x (.f64 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))
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(*.f64 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 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 x (.f64 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)))
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(*.f64 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 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 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)))
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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))
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(*.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))
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(.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
#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)
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(/ (- (exp x) 1) x)
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(/ 1 x)
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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 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)
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(- (exp x) 1)
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(- (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)
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x
(* x (+ 1 (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)
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(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
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(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
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(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 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 x (.f64 x (.f64 x x)))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(.f64 (.f64 x (.f64 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)))
(* -1/144 x)
(*.f64 x #s(literal -1/144 binary64))
(* x (- (* 1/576 x) 1/144))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* x (- (* 1/576 x) 1/144))
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(* x (- (* 1/576 x) 1/144))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
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(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
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(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
1/36
#s(literal 1/36 binary64)
(+ 1/36 (* -1/144 x))
(fma.f64 x #s(literal -1/144 binary64) #s(literal 1/36 binary64))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
(fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
(fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
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(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
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(* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) (+.f64 #s(literal -1/144 binary64) (/.f64 #s(literal 1/36 binary64) x))))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) (+.f64 #s(literal -1/144 binary64) (/.f64 #s(literal 1/36 binary64) x))))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) (+.f64 #s(literal -1/144 binary64) (/.f64 #s(literal 1/36 binary64) 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)
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(/ (- (exp x) 1) x)
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(/ (- (exp x) 1) x)
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(/ (- (exp x) 1) x)
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(/ (- (exp x) 1) x)
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(/ (- (exp x) 1) x)
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1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
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(+ 1 (* x (+ 1/2 (* 1/6 x))))
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(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
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(* 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 x (.f64 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 x (.f64 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
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #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)
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(exp x)
(exp.f64 x)
(exp x)
(exp.f64 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))
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(+ 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 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))

rewrite311.0ms (3.1%)

Memory

28.7MiB live, 545.6MiB allocated

Rules

6 066×	`lower-fma.f32`
6 048×	`lower-fma.f64`
4 526×	`lower-*.f32`
4 514×	`lower-*.f64`
4 418×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	289
0	79	281
1	329	270
2	2649	270
0	9978	247

Stop Event

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

Counts

23 → 715

Calls

Call 1

Inputs
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))
#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))))
(*.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 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (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)))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (exp x) 1) (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))
(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)
(fma.f64 x #s(literal -1/144 binary64) (.f64 (.f64 x x) #s(literal 1/576 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(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)))
(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))
(exp.f64 x)
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(/.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)))))
(.f64 (.f64 x x) #s(literal 1/576 binary64))

Outputs
(+.f64 (/.f64 (exp.f64 x) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (exp.f64 x) x) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)) (exp.f64 (+.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)) #s(literal -1 binary64)))
(+.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(-.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 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (fma.f64 x (exp.f64 x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (fma.f64 x (exp.f64 x) x)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (fma.f64 x (exp.f64 x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (fma.f64 x (exp.f64 x) x)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 x (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (.f64 x (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (.f64 x (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (.f64 x (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (.f64 x (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (expm1.f64 x) (neg.f64 x)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 (fma.f64 x (exp.f64 x) x) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (exp.f64 x) x) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))))
(-.f64 (/.f64 (.f64 x (exp.f64 x)) (.f64 x x)) (/.f64 x (*.f64 x x)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 (fma.f64 x (exp.f64 x) x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (exp.f64 x) x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 (.f64 (exp.f64 x) (neg.f64 x)) (.f64 x (neg.f64 x))) (/.f64 (.f64 x #s(literal -1 binary64)) (.f64 x (neg.f64 x))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (/.f64 (fma.f64 x (exp.f64 x) x) (.f64 x x))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x (exp.f64 x) x) (*.f64 x x))))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)) (exp.f64 (+.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))))
(fma.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (fma.f64 x (exp.f64 x) x)))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (fma.f64 x (exp.f64 x) x)))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (fma.f64 x (exp.f64 x) x) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (fma.f64 x (exp.f64 x) x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 x (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
(/.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 (expm1.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (expm1.f64 x)))))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) x) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (/.f64 (expm1.f64 x) x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (exp.f64 x) x) (expm1.f64 (+.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 x (exp.f64 x) (neg.f64 x)) (*.f64 x x))
(/.f64 (-.f64 (.f64 (exp.f64 x) (neg.f64 x)) (.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (exp.f64 x) x)))
(/.f64 (.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64)) (.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (fma.f64 x (exp.f64 x) x))))
(/.f64 (.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (fma.f64 x (exp.f64 x) x))))
(/.f64 (.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (neg.f64 x)))
(/.f64 (.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64)) (.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (exp.f64 x) (neg.f64 x))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (fma.f64 x (exp.f64 x) x)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (*.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (*.f64 (fma.f64 x (exp.f64 x) x) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (*.f64 (fma.f64 x (exp.f64 x) x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (fma.f64 x (exp.f64 x) x))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (fma.f64 x (exp.f64 x) x))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 x (exp.f64 x) x) (.f64 x x)))
(/.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 x x))) (neg.f64 (fma.f64 x (exp.f64 x) x)))
(/.f64 (.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 x x))) (.f64 (neg.f64 (fma.f64 x (exp.f64 x) x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 x x))) (.f64 (neg.f64 (fma.f64 x (exp.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (/.f64 x (exp.f64 x))) (.f64 (/.f64 x (exp.f64 x)) x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) (.f64 (/.f64 x (exp.f64 x)) (neg.f64 (neg.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (/.f64 x (exp.f64 x)) #s(literal -1 binary64))) (*.f64 (/.f64 x (exp.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (exp.f64 x) (neg.f64 (neg.f64 x))) x) (.f64 x (neg.f64 (neg.f64 x))))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) x) (.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (neg.f64 (neg.f64 x))) (.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (neg.f64 (neg.f64 x))))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (neg.f64 x)) (.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x)) (fma.f64 x (exp.f64 x) x)) (.f64 (fma.f64 x (exp.f64 x) x) (fma.f64 x (exp.f64 x) x)))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (neg.f64 (neg.f64 (fma.f64 x (exp.f64 x) x)))) (fma.f64 x (exp.f64 x) x)) (.f64 (fma.f64 x (exp.f64 x) x) (neg.f64 (neg.f64 (fma.f64 x (exp.f64 x) x)))))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (neg.f64 (fma.f64 x (exp.f64 x) x))) (.f64 (fma.f64 x (exp.f64 x) x) #s(literal -1 binary64))) (*.f64 (fma.f64 x (exp.f64 x) x) (neg.f64 (fma.f64 x (exp.f64 x) x))))
(/.f64 (neg.f64 (/.f64 (expm1.f64 x) x)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (expm1.f64 x) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 x (exp.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 x) (neg.f64 x)) (.f64 x #s(literal -1 binary64)))) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 x (exp.f64 x) x))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (fma.f64 x (exp.f64 x) x)))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (fma.f64 x (exp.f64 x) x)))))
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(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))) (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))) #s(literal 1/46656 binary64))) (fma.f64 (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))) #s(literal 1/36 binary64)) #s(literal 1/1296 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))) (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))) #s(literal 1/46656 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))) #s(literal 1/36 binary64)) #s(literal 1/1296 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))) (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))))) (-.f64 #s(literal 1/36 binary64) (*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))) (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/2641807540224 binary64) #s(literal 1/10077696 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal 1/46656 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2985984 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/2641807540224 binary64) #s(literal 1/10077696 binary64)) (fma.f64 (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))) (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))) #s(literal 1/46656 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal 1/46656 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2985984 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))) #s(literal 1/36 binary64)) #s(literal 1/1296 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/2641807540224 binary64) #s(literal 1/10077696 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))) (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal 1/46656 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2985984 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64)) (fma.f64 (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))) (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))) #s(literal 1/46656 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))) (-.f64 (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))) #s(literal 1/36 binary64)) #s(literal 1/1296 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))) (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/24 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x #s(literal 1/24 binary64))))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(.f64 #s(literal 1/576 binary64) (.f64 x x))
(.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/24 binary64))
(.f64 (.f64 x #s(literal 1/576 binary64)) x)
(.f64 (.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/24 binary64)) x)

eval250.0ms (2.5%)

Memory: -2.4MiB live, 309.8MiB allocated
Compiler: Compiled 29 823 to 2 793 computations (90.6% saved)

prune306.0ms (3%)

Memory

15.0MiB live, 335.9MiB allocated

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	1 063	11	1 074
Fresh	12	7	19
Picked	3	2	5
Done	0	5	5
Total	1 078	25	1 103

Accuracy

100.0%

Counts

1 103 → 25

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)
	69.9%	(/.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)
	69.9%	(/.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))
	32.0%	(.f64 (/.f64 #s(literal 1 binary64) x) #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)))))
▶	20.3%	(.f64 (/.f64 #s(literal 1 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 x (.f64 x (.f64 x x)))))))
▶	76.4%	(.f64 (expm1.f64 (+.f64 x x)) #s(approx (/ 1 (+ ( x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)))
✓	68.2%	#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)))
	51.7%	#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)) #s(approx (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))) (fma.f64 x #s(literal -1/144 binary64) #s(literal 1/36 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	71.3%	#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)) #s(approx (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	68.2%	#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)))
✓	65.5%	#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)))
✓	52.7%	#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)))
	65.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	56.0%	#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 (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 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 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
✓	18.7%	#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)))))
▶	18.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
	16.2%	#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)))))
▶	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)))))
	16.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
✓	52.6%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 631 to 331 computations (47.5% saved)

simplify432.0ms (4.3%)

Memory

-6.2MiB live, 314.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (* x x) (+ (* x (+ (* x 1/24) 1/6)) 1/2)) x) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 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 x (.f64 x (.f64 x x))))))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	320	(.f64 (/.f64 #s(literal 1 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 x (.f64 x (.f64 x x)))))))
cost-diff	0	(.f64 x (fma.f64 x (+.f64 (.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 (.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 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
cost-diff	128	(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
cost-diff	0	(.f64 #s(literal 1/24 binary64) (.f64 x x))
cost-diff	0	(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
cost-diff	0	#s(approx (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
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	#s(approx (/ 1 (+ (* x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x))
cost-diff	0	(+.f64 x x)
cost-diff	0	(expm1.f64 (+.f64 x x))
cost-diff	0	(.f64 (expm1.f64 (+.f64 x x)) #s(approx (/ 1 (+ ( x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)))

Rules

11 158×	`lower-fma.f32`
11 152×	`lower-fma.f64`
3 476×	`lower-*.f32`
3 452×	`lower-*.f64`
1 918×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	463
0	95	447
1	187	425
2	372	425
3	561	425
4	765	425
5	978	425
6	1681	425
7	2426	425
8	4575	425
9	6606	425
0	8126	380

Stop Event

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

Calls

Call 1

Inputs
(.f64 (expm1.f64 (+.f64 x x)) #s(approx (/ 1 (+ ( x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
x
#s(approx (/ 1 (+ (* x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(*.f64 x #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
#s(literal -1/4 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) #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 (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
x
(.f64 #s(literal 1/24 binary64) (.f64 x x))
#s(literal 1/24 binary64)
(*.f64 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 (.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 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(.f64 x (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
x
(fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.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 1/6 binary64)
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 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 x (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 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 x (.f64 x (.f64 x x))))))
#s(approx (+ (* (* x x) (+ (* x (+ (* x 1/24) 1/6)) 1/2)) x) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
#s(literal 1/24 binary64)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)

Outputs
(.f64 (expm1.f64 (+.f64 x x)) #s(approx (/ 1 (+ ( x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
x
#s(approx (/ 1 (+ (* x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(*.f64 x #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
#s(literal -1/4 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) #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 (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
x
(.f64 #s(literal 1/24 binary64) (.f64 x x))
#s(literal 1/24 binary64)
(*.f64 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 (.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 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 (.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 (+.f64 (.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 (+.f64 (*.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 (*.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 #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 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 x (.f64 x (.f64 x x)))))))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (* x x) (+ (* x (+ (* x 1/24) 1/6)) 1/2)) x) (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))))) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 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 x (.f64 x (.f64 x x))))))
#s(approx (- (exp x) 1) #s(approx (+ (* (* x x) (+ (* x (+ (* x 1/24) 1/6)) 1/2)) x) (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
#s(approx (+ (* (* x x) (+ (* x (+ (* x 1/24) 1/6)) 1/2)) x) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))))
#s(approx (+ (* (* x x) (+ (* x (+ (* x 1/24) 1/6)) 1/2)) x) (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
#s(literal 1/24 binary64)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)

localize255.0ms (2.5%)

Memory

9.2MiB live, 247.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
accuracy	0.07421875	(.f64 x (.f64 x x))
accuracy	15.718972366074453	#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 x (.f64 x (.f64 x x))))))
accuracy	32.198236213837454	#s(approx (+ (* (* x x) (+ (* x (+ (* x 1/24) 1/6)) 1/2)) x) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))))
accuracy	0.03125	(fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy	0.2265625	(*.f64 x #s(literal 1/24 binary64))
accuracy	15.648584451056031	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
accuracy	32.24399816483984	#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
accuracy	0.05078125	(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
accuracy	0.19140625	(.f64 #s(literal 1/24 binary64) (.f64 x x))
accuracy	15.648584451056031	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
accuracy	32.92429457304412	#s(approx (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
accuracy	0.015625	(.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))
accuracy	15.648584451056031	#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	15.671825932578754	#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))
accuracy	32.24399816483984	#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	0.2265625	(*.f64 x #s(literal 1/48 binary64))
accuracy	0.44921875000000006	(.f64 (expm1.f64 (+.f64 x x)) #s(approx (/ 1 (+ ( x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)))
accuracy	1.6492767052020363	(/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)
accuracy	15.550489070380639	#s(approx (/ 1 (+ (* x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x))

Samples

119.0ms	195×	0	valid
59.0ms	61×	0	exit

Compiler

Compiled 273 to 56 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-mult: 60.0ms (41.7% of total)

ival-add: 34.0ms (23.6% of total)

ival-expm1: 20.0ms (13.9% of total)

const: 20.0ms (13.9% of total)

ival-div: 8.0ms (5.6% of total)

ival-exp: 2.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory

-2.7MiB live, 35.7MiB allocated

Counts

26 → 312

Calls

Call 1

Inputs
#s(alt (.f64 (expm1.f64 (+.f64 x x)) #s(approx (/ 1 (+ ( x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x))) (patch (.f64 (expm1.f64 (+.f64 x x)) #s(approx (/ 1 (+ (* x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())
#s(alt (expm1.f64 (+.f64 x x)) (patch (expm1.f64 (+.f64 x x)) #<representation binary64>) () ())
#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)) (patch #s(approx (/ 1 (+ ( x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)) #<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 (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (patch #s(approx (/ (- (exp x) 1) x) #s(approx (+ ( x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))) (patch #s(approx (+ ( x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (patch (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/24 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/24 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) (patch (+.f64 (.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 (.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 (.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 (.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 (.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 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (.f64 x (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 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 x (.f64 x (.f64 x x))))))) (patch (.f64 (/.f64 #s(literal 1 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 x (.f64 x (.f64 x x))))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 x (.f64 x x))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/48 binary64)) (patch (.f64 x #s(literal 1/48 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/24 binary64)) (patch (.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (expm1.f64 (+.f64 x x)) #s(approx (/ 1 (+ ( x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x))) (patch (.f64 (expm1.f64 (+.f64 x x)) #s(approx (/ 1 (+ (* x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
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#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 1/2 (taylor 0 x) (#s(alt (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 x)) (taylor 0 x) (#s(alt (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (taylor 0 x) (#s(alt (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (taylor 0 x) (#s(alt (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (+.f64 (.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 2)) (taylor inf x) (#s(alt (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (+.f64 (.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 2)) (taylor -inf x) (#s(alt (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 4)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 4)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 4)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 4)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 4)) (taylor inf x) (#s(alt (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 4)) (taylor inf x) (#s(alt (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 4)) (taylor inf x) (#s(alt (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 4)) (taylor inf x) (#s(alt (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 4)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 4)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 4)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 4)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())

Calls

78 calls:

Time	Variable		Point	Expression
20.0ms	x	@	inf	(* (- (exp (+ x x)) 1) (/ 1 (+ (* x (exp x)) x)))
2.0ms	x	@	-inf	(* x 1/48)
1.0ms	x	@	-inf	(/ (+ (* x (+ (* x (* x 1/48)) -1/4)) 1/2) x)
0.0ms	x	@	inf	(/ (+ (* x (+ (* x (* x 1/48)) -1/4)) 1/2) x)
0.0ms	x	@	0	(* 1/24 (* x (* x (* x x))))

simplify378.0ms (3.7%)

Memory

-14.5MiB live, 378.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 462×	`lower-fma.f64`
13 462×	`lower-fma.f32`
4 258×	`lower-*.f64`
4 258×	`lower-*.f32`
2 424×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	2140
1	428	2139
2	1129	2130
3	3395	2022
0	8085	1699

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 310

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 (* 2 x)) 1) (* x (+ 1 (exp x))))
(/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))
(/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))
(/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))
(* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1))))
(* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1))))
(* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1))))
(* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(- (exp (* 2 x)) 1)
(- (exp (* 2 x)) 1)
(- (exp (* 2 x)) 1)
(- (exp (* 2 x)) 1)
(- (exp (neg (* -2 x))) 1)
(- (exp (neg (* -2 x))) 1)
(- (exp (neg (* -2 x))) 1)
(- (exp (neg (* -2 x))) 1)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ 1/2 x)
(/ (+ 1/2 (* -1/4 x)) x)
(/ (+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4))) x)
(/ (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4))) x)
(/ 1 (* x (+ 1 (exp x))))
(/ 1 (* x (+ 1 (exp x))))
(/ 1 (* x (+ 1 (exp x))))
(/ 1 (* x (+ 1 (exp x))))
(/ -1 (* x (- (* -1 (exp x)) 1)))
(/ -1 (* x (- (* -1 (exp x)) 1)))
(/ -1 (* x (- (* -1 (exp x)) 1)))
(/ -1 (* 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))))))
(* 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)))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
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
(+ 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)
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)
(/ (+ 1/2 (* -1/4 x)) x)
(/ (+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4))) x)
(/ (+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4))) x)
(* 1/48 (pow x 2))
(* (pow x 2) (- 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1/48 (/ 1/2 (pow x 3))) (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1/48 (/ 1/2 (pow x 3))) (* 1/4 (/ 1 (pow x 2)))))
(* 1/48 (pow x 2))
(* (pow x 2) (- 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1/48 (/ 1/2 (pow x 3))) (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1/48 (/ 1/2 (pow x 3))) (* 1/4 (/ 1 (pow x 2)))))
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 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)
(* 1/24 x)
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)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 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))

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 (* 2 x)) 1) (* x (+ 1 (exp x))))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1))))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1))))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1))))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1))))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(* 2 x)
(+.f64 x x)
(* x (+ 2 (* 2 x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (+.f64 x x)))
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal 4/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(- (exp (* 2 x)) 1)
(expm1.f64 (+.f64 x x))
(- (exp (* 2 x)) 1)
(expm1.f64 (+.f64 x x))
(- (exp (* 2 x)) 1)
(expm1.f64 (+.f64 x x))
(- (exp (* 2 x)) 1)
(expm1.f64 (+.f64 x x))
(- (exp (neg (* -2 x))) 1)
(expm1.f64 (+.f64 x x))
(- (exp (neg (* -2 x))) 1)
(expm1.f64 (+.f64 x x))
(- (exp (neg (* -2 x))) 1)
(expm1.f64 (+.f64 x x))
(- (exp (neg (* -2 x))) 1)
(expm1.f64 (+.f64 x x))
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* -1/4 x)) x)
(/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4))) x)
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4))) x)
(/.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)
(/ 1 (* x (+ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))
(/ 1 (* x (+ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))
(/ 1 (* x (+ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))
(/ 1 (* x (+ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))
(/ -1 (* x (- (* -1 (exp x)) 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))
(/ -1 (* x (- (* -1 (exp x)) 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))
(/ -1 (* x (- (* -1 (exp x)) 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x))
(/ -1 (* x (- (* -1 (exp x)) 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (exp.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 (* 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 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)))
1/2
#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))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 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
#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 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 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)
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 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)
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 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)
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (.f64 x (.f64 x (.f64 x 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 x (.f64 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 x (.f64 x (.f64 x x)))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (.f64 x (.f64 x (.f64 x 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 x (.f64 x (*.f64 x x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(.f64 (.f64 x (.f64 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)
(/ (+ 1/2 (* -1/4 x)) x)
(/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4))) x)
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4))) x)
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)
(* 1/48 (pow x 2))
(.f64 #s(literal 1/48 binary64) (.f64 x x))
(* (pow x 2) (- 1/48 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(* (pow x 2) (- (+ 1/48 (/ 1/2 (pow x 3))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(* (pow x 2) (- (+ 1/48 (/ 1/2 (pow x 3))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/48 (pow x 2))
(.f64 #s(literal 1/48 binary64) (.f64 x x))
(* (pow x 2) (- 1/48 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(* (pow x 2) (- (+ 1/48 (/ 1/2 (pow x 3))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(* (pow x 2) (- (+ 1/48 (/ 1/2 (pow x 3))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 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))
1/2
#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))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))

rewrite327.0ms (3.2%)

Memory

2.6MiB live, 604.3MiB allocated

Rules

6 538×	`lower-fma.f32`
6 532×	`lower-fma.f64`
4 824×	`lower-*.f32`
4 800×	`lower-*.f64`
4 630×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	420
0	95	406
1	382	386
2	2911	386
0	10529	341

Stop Event

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

Counts

26 → 351

Calls

Call 1

Inputs
(.f64 (expm1.f64 (+.f64 x x)) #s(approx (/ 1 (+ ( x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
#s(approx (/ 1 (+ (* x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) 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) #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 (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(+.f64 (*.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 (.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 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(.f64 x (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 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 x (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 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 x (.f64 x (.f64 x x))))))
#s(approx (+ (* (* x x) (+ (* x (+ (* x 1/24) 1/6)) 1/2)) x) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)
(*.f64 x #s(literal 1/48 binary64))
(*.f64 x #s(literal 1/24 binary64))
(fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(.f64 x (.f64 x x))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))

Outputs
(+.f64 (.f64 #s(approx (/ 1 (+ ( x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)) (exp.f64 (+.f64 x x))) (.f64 #s(approx (/ 1 (+ (* x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)))
(+.f64 (.f64 (exp.f64 (+.f64 x x)) #s(approx (/ 1 (+ ( x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x))) (.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x))))
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(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (-.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x #s(literal 1/6 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/4 binary64)) (.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.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)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (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 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.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)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/4 binary64)) (.f64 x (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (*.f64 x 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 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x x))
(.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) x)
(.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64))

eval149.0ms (1.5%)

Memory: 25.9MiB live, 182.3MiB allocated
Compiler: Compiled 13 212 to 1 233 computations (90.7% saved)

prune333.0ms (3.3%)

Memory

-25.3MiB live, 290.1MiB allocated

Pruning

26 alts after pruning (15 fresh and 11 done)

	Pruned	Kept	Total
New	655	6	661
Fresh	4	9	13
Picked	1	4	5
Done	0	7	7
Total	660	26	686

Accuracy

100.0%

Counts

686 → 26

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)
	69.9%	(/.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)
	20.3%	(/.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)
✓	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
	32.0%	(.f64 (/.f64 #s(literal 1 binary64) x) #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)))))
✓	20.3%	(.f64 (/.f64 #s(literal 1 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 x (.f64 x (.f64 x x)))))))
	76.4%	(.f64 (expm1.f64 (+.f64 x x)) #s(approx (/ 1 (+ ( x (exp x)) x)) #s(approx (/ (+ (* x (+ (* x (* x 1/48)) -1/4)) 1/2) x) (+.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) (/.f64 #s(literal 1/2 binary64) x))))))
	72.5%	(.f64 #s(approx (- (exp (+ x x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal 4/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(approx (/ 1 (+ (* x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)))
	71.1%	(.f64 #s(approx (- (exp (+ x x)) 1) (.f64 x (fma.f64 x (fma.f64 x #s(literal 4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(approx (/ 1 (+ (* x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)))
✓	68.2%	#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)))
	51.7%	#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)) #s(approx (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))) (fma.f64 x #s(literal -1/144 binary64) #s(literal 1/36 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	71.3%	#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)) #s(approx (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	68.2%	#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)))
✓	65.5%	#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)))
✓	52.7%	#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)))
	65.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	18.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))
	18.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
✓	18.7%	#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)))))
✓	18.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
	16.2%	#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)))))
✓	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)))))
	16.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
✓	52.6%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 1 069 to 353 computations (67% saved)

regimes27.0ms (0.3%)

Memory

28.1MiB live, 66.0MiB allocated

Counts

48 → 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 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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))
#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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.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 (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 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 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 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)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (+.f64 (.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 (+.f64 (*.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 #s(literal 1/6 binary64) (fma.f64 x (*.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 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) x)
(/.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 (*.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)) 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)
(.f64 (/.f64 #s(literal 1 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 x (.f64 x (.f64 x x)))))))
#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)) #s(approx (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (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)))
#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 (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 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))) (fma.f64 x #s(literal -1/144 binary64) #s(literal 1/36 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)))
#s(approx (/ (- (exp x) 1) 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))) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (- (exp (+ x x)) 1) (.f64 x (fma.f64 x (fma.f64 x #s(literal 4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(approx (/ 1 (+ (* x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)))
(.f64 #s(approx (- (exp (+ x x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal 4/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(approx (/ 1 (+ (* x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)))
#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 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 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 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) (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)))
(.f64 (/.f64 #s(literal 1 binary64) x) #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)))))
(/.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))
(.f64 (expm1.f64 (+.f64 x x)) #s(approx (/ 1 (+ ( x (exp x)) x)) #s(approx (/ (+ (* x (+ (* x (* x 1/48)) -1/4)) 1/2) x) (+.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) (/.f64 #s(literal 1/2 binary64) x))))))
(.f64 (expm1.f64 (+.f64 x x)) #s(approx (/ 1 (+ ( x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)))

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

Calls

2 calls:

14.0ms	x
11.0ms	(/.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)

regimes242.0ms (2.4%)

Memory

-45.2MiB live, 48.0MiB allocated

Counts

42 → 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 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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))
#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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.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 (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 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 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 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)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (+.f64 (.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 (+.f64 (*.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 #s(literal 1/6 binary64) (fma.f64 x (*.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 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) x)
(/.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 (*.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)) 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)
(.f64 (/.f64 #s(literal 1 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 x (.f64 x (.f64 x x)))))))
#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)) #s(approx (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (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)))
#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 (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 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))) (fma.f64 x #s(literal -1/144 binary64) #s(literal 1/36 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)))
#s(approx (/ (- (exp x) 1) 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))) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (- (exp (+ x x)) 1) (.f64 x (fma.f64 x (fma.f64 x #s(literal 4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(approx (/ 1 (+ (* x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)))
(.f64 #s(approx (- (exp (+ x x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal 4/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(approx (/ 1 (+ (* x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)))
#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 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 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 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) (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)))
(.f64 (/.f64 #s(literal 1 binary64) x) #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)))))

Outputs

(*.f64 #s(approx (- (exp (+ x x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal 4/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(approx (/ 1 (+ (* x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)))

Calls

2 calls:

196.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
11.0ms	x

Results

Accuracy	Segments	Branch
72.5%	1	`x`
72.5%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes22.0ms (0.2%)

Memory

9.2MiB live, 48.7MiB allocated

Counts

35 → 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 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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))
#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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.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 (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 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 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 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)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (+.f64 (.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 (+.f64 (*.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 #s(literal 1/6 binary64) (fma.f64 x (*.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 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) x)
(/.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 (*.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)) 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)
(.f64 (/.f64 #s(literal 1 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 x (.f64 x (.f64 x x)))))))
#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)) #s(approx (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (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)))
#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 (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 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))) (fma.f64 x #s(literal -1/144 binary64) #s(literal 1/36 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)))
#s(approx (/ (- (exp x) 1) 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))) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (- (exp (+ x x)) 1) (.f64 x (fma.f64 x (fma.f64 x #s(literal 4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(approx (/ 1 (+ (* x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)))

Outputs

#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)) #s(approx (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
71.3%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
71.3%	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory

-1.7MiB live, 37.1MiB allocated

Counts

26 → 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 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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))
#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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.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 (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 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 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 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)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (+.f64 (.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 (+.f64 (*.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 #s(literal 1/6 binary64) (fma.f64 x (*.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 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) x)
(/.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 (*.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)) 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)
(.f64 (/.f64 #s(literal 1 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 x (.f64 x (.f64 x x)))))))

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:

8.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
69.9%	1	`x`
69.9%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

-7.1MiB live, 34.2MiB allocated

Counts

22 → 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 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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))
#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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.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 (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 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 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 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)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (+.f64 (.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 (+.f64 (*.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 #s(literal 1/6 binary64) (fma.f64 x (*.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 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) x)

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
70.3%	2	`x`
70.3%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

34.1MiB live, 34.1MiB allocated

Counts

21 → 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 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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))
#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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.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 (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 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 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 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)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (+.f64 (.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 (+.f64 (*.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 #s(literal 1/6 binary64) (fma.f64 x (*.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:

6.0ms	x
5.0ms	(/.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)

regimes12.0ms (0.1%)

Memory

-3.1MiB live, 36.0MiB 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 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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))
#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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.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 (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 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 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))

Outputs

#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 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	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
68.5%	2	`x`
68.5%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-8.8MiB live, 30.4MiB 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 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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))
#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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.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 (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 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
68.5%	2	`x`
68.5%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-10.1MiB live, 29.0MiB allocated

Counts

15 → 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 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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))
#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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.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 (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 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 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
68.5%	2	`x`
68.5%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

12 → 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 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 (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))))) 1/2)) 1) (.f64 (.f64 x (*.f64 x #s(literal 1/24 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)))

#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:

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

Results

Accuracy	Segments	Branch
68.5%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
68.5%	2	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

-16.4MiB live, 24.7MiB allocated

Counts

9 → 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 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:

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

Results

Accuracy	Segments	Branch
65.5%	1	`x`
65.5%	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

19.6MiB live, 19.5MiB allocated

Counts

7 → 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 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
3.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
65.4%	2	`x`
65.4%	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

-22.9MiB live, 15.8MiB allocated

Counts

5 → 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))))

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:

4.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
2.0ms	x

Results

Accuracy	Segments	Branch
65.4%	2	`x`
65.4%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes4.0ms (0%)

Memory

11.3MiB live, 11.3MiB allocated

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) (fma.f64 x #s(literal 1/2 binary64) #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
52.7%	1	`x`
52.7%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes3.0ms (0%)

Memory

10.7MiB live, 10.7MiB allocated

Accuracy

Total -31.7b remaining (-104.6%)

Threshold costs -31.7b (-104.6%)

Counts

2 → 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)))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
52.6%	1	`x`
52.6%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0006406640706542	+inf

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0006406640706542	+inf

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0006406640706542	+inf

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch12.0ms (0.1%)

Memory

-7.0MiB live, 31.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0012807811660239389	11371.072041445628

Samples

5.0ms

144×

valid

Compiler

Compiled 208 to 133 computations (36.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-expm1: 2.0ms (73.5% of total)

ival-div: 1.0ms (36.7% of total)

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

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

bsearch6.0ms (0.1%)

Memory

-27.8MiB live, 11.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.0012807811660239389	11371.072041445628

Samples

2.0ms

64×

valid

Compiler

Compiled 199 to 124 computations (37.7% saved)

Precisions

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

ival-expm1: 1.0ms (93.8% of total)

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

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

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0006406640706542	+inf

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0006406640706542	+inf

Compiler

Compiled 10 to 9 computations (10% saved)

simplify12.0ms (0.1%)

Memory

28.7MiB live, 28.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	485
1	137	485
2	141	485
3	144	485
4	147	485
5	150	485

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(.f64 #s(approx (- (exp (+ x x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal 4/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(approx (/ 1 (+ (* x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)))
#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)) #s(approx (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))) #s(literal 1/36 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 #s(literal 1/2 binary64) (fma.f64 x (.f64 x #s(literal 1/6 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 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) 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 #s(literal 1/2 binary64) (fma.f64 x (.f64 x #s(literal 1/6 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 x #s(literal 4728779608739021/1125899906842624 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 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))
(if (<=.f64 x #s(literal 3602879701896397/562949953421312 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) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Outputs
(/.f64 (expm1.f64 x) x)
(.f64 #s(approx (- (exp (+ x x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal 4/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(approx (/ 1 (+ (* x (exp x)) x)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) x)))
#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)) #s(approx (+ 1/36 (+ (* x -1/144) (* (* x x) 1/576))) #s(literal 1/36 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 #s(literal 1/2 binary64) (fma.f64 x (.f64 x #s(literal 1/6 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 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) 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 #s(literal 1/2 binary64) (fma.f64 x (.f64 x #s(literal 1/6 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 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) 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 #s(literal 1/2 binary64) (fma.f64 x (.f64 x #s(literal 1/6 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 #s(literal 1/2 binary64) (fma.f64 x (.f64 x #s(literal 1/6 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 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 4728779608739021/1125899906842624 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 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))
(if (<=.f64 x #s(literal 3602879701896397/562949953421312 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 x #s(literal 3602879701896397/562949953421312 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 (*.f64 x x) #s(literal 1/24 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)))
(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 (.f64 x x) #s(literal 1/6 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) #s(literal 1 binary64))

soundness3.6s (35.5%)

Memory

-32.7MiB live, 1 532.0MiB allocated

Rules

14 066×	`lower-fma.f64`
14 066×	`lower-fma.f32`
13 462×	`lower-fma.f64`
13 462×	`lower-fma.f32`
11 596×	`lower-fma.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
0	69	420
0	95	406
1	382	386
2	2911	386
0	10529	341
0	65	874
1	216	874
2	603	858
3	1838	858
4	4744	858
5	7505	858
0	8756	660
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	156	1926
1	480	1925
2	1248	1908
3	3717	1842
0	8720	1517
0	137	2140
1	428	2139
2	1129	2130
3	3395	2022
0	8085	1699
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×	node limit
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 595 to 286 computations (51.9% saved)

preprocess87.0ms (0.9%)

Memory: 30.9MiB live, 226.1MiB allocated
Compiler: Compiled 580 to 170 computations (70.7% 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%)

sample639.0ms (6.3%)

explain84.0ms (0.8%)

preprocess62.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify45.0ms (0.4%)

localize17.0ms (0.2%)

series3.0ms (0%)

simplify361.0ms (3.6%)

rewrite232.0ms (2.3%)

eval118.0ms (1.2%)

prune83.0ms (0.8%)

simplify130.0ms (1.3%)

localize99.0ms (1%)

series8.0ms (0.1%)

simplify201.0ms (2%)

rewrite303.0ms (3%)

eval104.0ms (1%)

prune122.0ms (1.2%)

simplify195.0ms (1.9%)

localize154.0ms (1.5%)

series22.0ms (0.2%)

simplify223.0ms (2.2%)

rewrite311.0ms (3.1%)

eval250.0ms (2.5%)

prune306.0ms (3%)

simplify432.0ms (4.3%)

localize255.0ms (2.5%)

series40.0ms (0.4%)

simplify378.0ms (3.7%)

rewrite327.0ms (3.2%)

eval149.0ms (1.5%)

prune333.0ms (3.3%)

regimes27.0ms (0.3%)

regimes242.0ms (2.4%)

regimes22.0ms (0.2%)

regimes16.0ms (0.2%)

regimes15.0ms (0.1%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.1%)

bsearch6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness3.6s (35.5%)

preprocess87.0ms (0.9%)

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