Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze19.0ms (0.2%)

Memory

-4.5MiB live, 34.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	0.1%	0%	6.2%	0%	6
75.9%	68.7%	21.9%	0.1%	0%	9.4%	0%	7
80%	68.7%	17.2%	0.1%	0%	14%	0%	8
86%	71.8%	11.7%	0.1%	0%	16.4%	0%	9
88.9%	71.8%	9%	0.1%	0%	19.1%	0%	10
92.4%	73.4%	6%	0.1%	0%	20.5%	0%	11
94.1%	73.4%	4.6%	0.1%	0%	22%	0%	12

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample602.0ms (7%)

Memory

48.3MiB live, 1 106.9MiB allocated

Samples

359.0ms	8 256×	0	valid
13.0ms	296×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-mult: 69.0ms (45.8% of total)

ival-expm1: 51.0ms (33.9% of total)

ival->: 20.0ms (13.3% of total)

exact: 7.0ms (4.6% of total)

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

Bogosity

explain71.0ms (0.8%)

Memory

-8.2MiB live, 148.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
133	0	-	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	0	-	-	`a`
0	1	(1.0217835507885668e-203 -1.8778187628038145e+205)	-	`(exp.f64 (*.f64 a x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 a x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	133	0
`exp.f64`	`(exp.f64 (*.f64 a x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	133	0
-	1	122

Precision

0.9925373134328358

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	0
-	1	0	122

Precision?

0.9925373134328358

Recall?

1.0

Freqs

test

number	freq
0	122
1	134

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

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

ival-exp: 4.0ms (36.1% of total)

ival-mult: 4.0ms (36.1% of total)

ival-expm1: 3.0ms (27.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess19.0ms (0.2%)

Memory

2.7MiB live, 41.7MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`sub-neg`
40×	`exp-sum`
24×	`exp-prod`
24×	`+-commutative`
18×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	42	36
2	73	34
3	108	34
4	141	34
5	165	34
6	204	34
7	226	34
8	240	34
9	251	34
10	252	34
0	6	6
0	9	6
1	17	6
2	20	6
0	20	4

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.0%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

6×	`lower-exp.f32`
4×	`exp-prod`
4×	`lower-pow.f64`
4×	`lower-+.f64`
4×	`lower-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	17	16
2	20	16
0	20	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (0.5%)

Memory

-22.6MiB live, 34.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a x)
accuracy	0.0078125	(exp.f64 (*.f64 a x))
accuracy	30.74820716768161	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

33.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-mult: 23.0ms (86.3% of total)

ival-exp: 2.0ms (7.5% of total)

ival-expm1: 1.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

18 calls:

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

simplify272.0ms (3.2%)

Memory

8.6MiB live, 120.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 560×	`lower-fma.f64`
8 560×	`lower-fma.f32`
3 454×	`associate-r`
2 992×	`lower-*.f64`
2 992×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	432
1	195	432
2	526	424
3	1050	424
4	1650	424
5	1848	424
6	1875	424
7	1895	424
8	1909	424
9	1912	424
10	1912	424
11	2607	420
12	3082	420
13	4049	420
14	4050	420
15	4050	420
16	4178	420
17	4178	420
18	6095	416
19	6319	416
20	6361	416
21	6375	416
22	6375	416
23	6551	416
24	6889	416
25	6889	416
26	7463	416
0	7463	360

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

rewrite89.0ms (1%)

Memory

-11.3MiB live, 145.9MiB allocated

Rules

806×	`lower-fma.f64`
806×	`lower-fma.f32`
650×	`lower-*.f32`
648×	`lower-*.f64`
594×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	30	13
2	152	13
0	1346	11

Stop Event

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

Counts

3 → 111

Calls

Call 1

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

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

eval25.0ms (0.3%)

Memory: -11.8MiB live, 32.3MiB allocated
Compiler: Compiled 3 258 to 325 computations (90% saved)

prune24.0ms (0.3%)

Memory

0.5MiB live, 39.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	175	8	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	176	8	184

Accuracy

100.0%

Counts

184 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
▶	16.6%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	99.7%	(.f64 (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (*.f64 a x))))
▶	100.0%	(expm1.f64 (*.f64 a x))
	62.3%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
▶	61.3%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)))
▶	61.3%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
	66.1%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 256 to 144 computations (43.8% saved)

simplify243.0ms (2.8%)

Memory

25.3MiB live, 247.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
cost-diff	0	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))))
cost-diff	448	(fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))
cost-diff	20736	(.f64 (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (*.f64 a x))))
cost-diff	0	(.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
cost-diff	0	(fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
cost-diff	0	(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 x x))
cost-diff	0	(fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
cost-diff	0	(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
cost-diff	0	#s(approx (exp (* a x)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	(*.f64 a x)
cost-diff	0	(expm1.f64 (*.f64 a x))

Rules

17 084×	`lower-fma.f32`
17 074×	`lower-fma.f64`
4 750×	`lower-+.f32`
4 746×	`lower-+.f64`
3 844×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	359
0	78	344
1	162	334
2	410	334
3	1235	322
4	3498	320
0	8104	318

Stop Event

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

Calls

Call 1

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

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

localize147.0ms (1.7%)

Memory

-12.3MiB live, 153.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.016882531620653757	(-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x)))
accuracy	0.017910009768442016	(-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy	0.13671875	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	0.21484375	(.f64 a (.f64 x #s(literal 3 binary64)))
accuracy	0.35546875	(*.f64 x #s(literal 1/24 binary64))
accuracy	1.211553568714128	(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
accuracy	4.413871911716878	(fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
accuracy	22.376942226609902	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)))
accuracy	0.00390625	(.f64 #s(literal 1/2 binary64) (.f64 x x))
accuracy	1.1866676750326737	(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
accuracy	5.735515833860136	(fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
accuracy	22.415593022667526	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
accuracy	22.275826245574592	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	30.74820716768161	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0	(*.f64 a x)
accuracy	0.015625	(expm1.f64 (*.f64 a x))

Samples

99.0ms

256×

valid

Compiler

Compiled 363 to 42 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 22.0ms (37.8% of total)

ival-pow2: 10.0ms (17.2% of total)

ival-add: 7.0ms (12% of total)

const: 6.0ms (10.3% of total)

ival-expm1: 4.0ms (6.9% of total)

ival-exp: 3.0ms (5.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series55.0ms (0.6%)

Memory

24.4MiB live, 64.6MiB allocated

Counts

20 → 456

Calls

Call 1

Inputs
#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())
#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp (* a x)) #s(literal 1 binary64)) (patch #s(approx (exp (* a x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x))) (patch #s(approx (- (exp ( a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) #<representation binary64>) () ())
#s(alt (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (patch (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (patch (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))) (patch #s(approx (- (exp ( a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))) #<representation binary64>) () ())
#s(alt (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)) (patch (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)) #<representation binary64>) () ())
#s(alt (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) (patch (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (patch (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x)))) (patch (.f64 (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x)))) #<representation binary64>) () ())
#s(alt (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x))) (patch (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (patch (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (patch (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/24 binary64)) (patch (.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (.f64 a (.f64 x #s(literal 3 binary64))) (patch (.f64 a (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) (patch (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) #<representation binary64>) () ())

Outputs
#s(alt (* a x) (taylor 0 a) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 x) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ a (* 1/2 (* (pow a 2) x)))) (taylor 0 x) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) (taylor 0 x) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) (taylor 0 x) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (.f64 a x)) (patch (expm1.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
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#s(alt (/ (* (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1)) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x)))) (patch (.f64 (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x)))) #<representation binary64>) () ())) ())
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#s(alt (* 3 (* a x)) (taylor 0 x) (#s(alt (.f64 a (.f64 x #s(literal 3 binary64))) (patch (.f64 a (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a x)) (taylor inf x) (#s(alt (.f64 a (.f64 x #s(literal 3 binary64))) (patch (.f64 a (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a x)) (taylor inf x) (#s(alt (.f64 a (.f64 x #s(literal 3 binary64))) (patch (.f64 a (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a x)) (taylor inf x) (#s(alt (.f64 a (.f64 x #s(literal 3 binary64))) (patch (.f64 a (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a x)) (taylor inf x) (#s(alt (.f64 a (.f64 x #s(literal 3 binary64))) (patch (.f64 a (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a x)) (taylor -inf x) (#s(alt (.f64 a (.f64 x #s(literal 3 binary64))) (patch (.f64 a (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a x)) (taylor -inf x) (#s(alt (.f64 a (.f64 x #s(literal 3 binary64))) (patch (.f64 a (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a x)) (taylor -inf x) (#s(alt (.f64 a (.f64 x #s(literal 3 binary64))) (patch (.f64 a (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a x)) (taylor -inf x) (#s(alt (.f64 a (.f64 x #s(literal 3 binary64))) (patch (.f64 a (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
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#s(alt (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)) (taylor inf a) (#s(alt (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt -3 (taylor 0 x) (#s(alt (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* 8 (pow a 2)) (+ (* 2 (pow a 2)) (pow a 2)))) 3) (taylor 0 x) (#s(alt (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (+ (* 8 (pow a 2)) (* x (- (* 32/3 (pow a 3)) (+ (* 2/3 (pow a 3)) (pow a 3))))) (+ (* 2 (pow a 2)) (pow a 2)))) 3) (taylor 0 x) (#s(alt (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (+ (* 8 (pow a 2)) (* x (- (+ (* 32/3 (pow a 3)) (* x (- (* 32/3 (pow a 4)) (+ (* 1/6 (pow a 4)) (+ (* 1/4 (pow a 4)) (* 1/3 (pow a 4))))))) (+ (* 2/3 (pow a 3)) (pow a 3))))) (+ (* 2 (pow a 2)) (pow a 2)))) 3) (taylor 0 x) (#s(alt (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)) (taylor inf x) (#s(alt (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)) (taylor inf x) (#s(alt (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)) (taylor inf x) (#s(alt (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)) (taylor -inf x) (#s(alt (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)) (taylor -inf x) (#s(alt (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)) (taylor -inf x) (#s(alt (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) (patch (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* 2 a) a)) 1) (taylor 0 x) (#s(alt (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) (patch (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (+ (* 2 a) (* x (- (* 2 (pow a 2)) (* 1/2 (pow a 2))))) a)) 1) (taylor 0 x) (#s(alt (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) (patch (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (+ (* 2 a) (* x (- (+ (* 2 (pow a 2)) (* x (- (* 4/3 (pow a 3)) (* 1/6 (pow a 3))))) (* 1/2 (pow a 2))))) a)) 1) (taylor 0 x) (#s(alt (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) (patch (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (taylor inf x) (#s(alt (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) (patch (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (taylor inf x) (#s(alt (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) (patch (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (taylor inf x) (#s(alt (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) (patch (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (taylor inf x) (#s(alt (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) (patch (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (taylor -inf x) (#s(alt (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) (patch (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (taylor -inf x) (#s(alt (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) (patch (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (taylor -inf x) (#s(alt (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) (patch (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (taylor -inf x) (#s(alt (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) (patch (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) #<representation binary64>) () ())) ())

Calls

114 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(* (/ (- (exp (* a (* x 3))) 1) (- (exp (+ (* a (+ x x)) (* a (+ x x)))) (pow (+ (exp (* a x)) 1) 2))) (- (- (exp (* a (+ x x))) 1) (exp (* a x))))
3.0ms	a	@	inf	(* (/ (- (exp (* a (* x 3))) 1) (- (exp (+ (* a (+ x x)) (* a (+ x x)))) (pow (+ (exp (* a x)) 1) 2))) (- (- (exp (* a (+ x x))) 1) (exp (* a x))))
2.0ms	x	@	0	(* (/ (- (exp (* a (* x 3))) 1) (- (exp (+ (* a (+ x x)) (* a (+ x x)))) (pow (+ (exp (* a x)) 1) 2))) (- (- (exp (* a (+ x x))) 1) (exp (* a x))))
2.0ms	a	@	0	(* (/ (- (exp (* a (* x 3))) 1) (- (exp (+ (* a (+ x x)) (* a (+ x x)))) (pow (+ (exp (* a x)) 1) 2))) (- (- (exp (* a (+ x x))) 1) (exp (* a x))))
2.0ms	x	@	-inf	(* (/ (- (exp (* a (* x 3))) 1) (- (exp (+ (* a (+ x x)) (* a (+ x x)))) (pow (+ (exp (* a x)) 1) 2))) (- (- (exp (* a (+ x x))) 1) (exp (* a x))))

simplify262.0ms (3.1%)

Memory

25.4MiB live, 283.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 742×	`lower-fma.f64`
11 742×	`lower-fma.f32`
6 676×	`lower-*.f64`
6 676×	`lower-*.f32`
3 102×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	566	5963
1	1857	5648
2	6117	5608
0	8250	5049

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 452

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* 1/2 (* a (pow x 2))))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* a (pow x 2)))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* 1/2 (* a x))))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))) a)) (* -1/24 (pow x 4)))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 (* a x))))
(* (pow x 2) (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* (pow x 2) (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 4) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(* (pow x 4) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(* 1/2 (pow x 2))
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))
(+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))
(+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* a x)
(* a (+ x (* -1/3 (* a (+ (* -9/2 (pow x 2)) (* 3 (* x (- (* 2 x) x))))))))
(* a (+ x (* a (+ (* -1/3 (+ (* -9/2 (pow x 2)) (* 3 (* x (- (* 2 x) x))))) (* a (- (* -1/3 (+ (* -9/2 (pow x 3)) (+ (* 3 (* x (- (* 2 (pow x 2)) (* 1/2 (pow x 2))))) (* 9/2 (* (pow x 2) (- (* 2 x) x)))))) (* -1/3 (* x (- (* 8 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2)))))))))))
(* a (+ x (* a (+ (* -1/3 (+ (* -9/2 (pow x 2)) (* 3 (* x (- (* 2 x) x))))) (* a (- (+ (* -1/3 (+ (* -9/2 (pow x 3)) (+ (* 3 (* x (- (* 2 (pow x 2)) (* 1/2 (pow x 2))))) (* 9/2 (* (pow x 2) (- (* 2 x) x)))))) (* a (- (* -1/3 (+ (* -27/8 (pow x 4)) (+ (* 3 (* x (- (* 4/3 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* 9/2 (* (pow x 2) (- (* 2 (pow x 2)) (* 1/2 (pow x 2))))) (* 9/2 (* (pow x 3) (- (* 2 x) x))))))) (+ (* -1/3 (* x (- (* 32/3 (pow x 3)) (+ (* 2/3 (pow x 3)) (pow x 3))))) (* 1/9 (* (+ (* -9/2 (pow x 2)) (* 3 (* x (- (* 2 x) x)))) (- (* 8 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))))))))) (* -1/3 (* x (- (* 8 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2)))))))))))
(/ (* (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1)) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (* (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1)) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (* (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1)) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (* (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1)) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (* (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1)) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (* (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1)) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (* (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1)) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (* (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1)) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(* a x)
(* x (+ a (* -1/3 (* x (+ (* -9/2 (pow a 2)) (* 3 (* a (- (* 2 a) a))))))))
(* x (+ a (* x (+ (* -1/3 (+ (* -9/2 (pow a 2)) (* 3 (* a (- (* 2 a) a))))) (* x (- (* -1/3 (+ (* -9/2 (pow a 3)) (+ (* 3 (* a (- (* 2 (pow a 2)) (* 1/2 (pow a 2))))) (* 9/2 (* (pow a 2) (- (* 2 a) a)))))) (* -1/3 (* a (- (* 8 (pow a 2)) (+ (* 2 (pow a 2)) (pow a 2)))))))))))
(* x (+ a (* x (+ (* -1/3 (+ (* -9/2 (pow a 2)) (* 3 (* a (- (* 2 a) a))))) (* x (- (+ (* -1/3 (+ (* -9/2 (pow a 3)) (+ (* 3 (* a (- (* 2 (pow a 2)) (* 1/2 (pow a 2))))) (* 9/2 (* (pow a 2) (- (* 2 a) a)))))) (* x (- (* -1/3 (+ (* -27/8 (pow a 4)) (+ (* 3 (* a (- (* 4/3 (pow a 3)) (* 1/6 (pow a 3))))) (+ (* 9/2 (* (pow a 2) (- (* 2 (pow a 2)) (* 1/2 (pow a 2))))) (* 9/2 (* (pow a 3) (- (* 2 a) a))))))) (+ (* -1/3 (* a (- (* 32/3 (pow a 3)) (+ (* 2/3 (pow a 3)) (pow a 3))))) (* 1/9 (* (+ (* -9/2 (pow a 2)) (* 3 (* a (- (* 2 a) a)))) (- (* 8 (pow a 2)) (+ (* 2 (pow a 2)) (pow a 2))))))))) (* -1/3 (* a (- (* 8 (pow a 2)) (+ (* 2 (pow a 2)) (pow a 2)))))))))))
(/ (* (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1)) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (* (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1)) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (* (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1)) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (* (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1)) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (* (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1)) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (* (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1)) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (* (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1)) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (* (- (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1)) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* -1 (* a x))
(* a (+ (* -3/2 (* a (pow x 2))) (* -1 x)))
(* a (+ (* -1 x) (* a (+ (* -3/2 (pow x 2)) (* a (- (* -3/2 (pow x 3)) (* 1/3 (* x (- (* 8 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2)))))))))))
(* a (+ (* -1 x) (* a (+ (* -3/2 (pow x 2)) (* a (- (+ (* -3/2 (pow x 3)) (* a (- (* -9/8 (pow x 4)) (+ (* 1/3 (* x (- (* 32/3 (pow x 3)) (+ (* 2/3 (pow x 3)) (pow x 3))))) (* 1/2 (* (pow x 2) (- (* 8 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))))))))) (* 1/3 (* x (- (* 8 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2)))))))))))
(/ (- (exp (* 3 (* a x))) 1) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (- (exp (* 3 (* a x))) 1) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (- (exp (* 3 (* a x))) 1) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (- (exp (* 3 (* a x))) 1) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (- (exp (* 3 (* a x))) 1) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (- (exp (* 3 (* a x))) 1) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (- (exp (* 3 (* a x))) 1) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (- (exp (* 3 (* a x))) 1) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(* -1 (* a x))
(* x (+ (* -3/2 (* (pow a 2) x)) (* -1 a)))
(* x (+ (* -1 a) (* x (+ (* -3/2 (pow a 2)) (* x (- (* -3/2 (pow a 3)) (* 1/3 (* a (- (* 8 (pow a 2)) (+ (* 2 (pow a 2)) (pow a 2)))))))))))
(* x (+ (* -1 a) (* x (+ (* -3/2 (pow a 2)) (* x (- (+ (* -3/2 (pow a 3)) (* x (- (* -9/8 (pow a 4)) (+ (* 1/3 (* a (- (* 32/3 (pow a 3)) (+ (* 2/3 (pow a 3)) (pow a 3))))) (* 1/2 (* (pow a 2) (- (* 8 (pow a 2)) (+ (* 2 (pow a 2)) (pow a 2))))))))) (* 1/3 (* a (- (* 8 (pow a 2)) (+ (* 2 (pow a 2)) (pow a 2)))))))))))
(/ (- (exp (* 3 (* a x))) 1) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (- (exp (* 3 (* a x))) 1) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (- (exp (* 3 (* a x))) 1) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (- (exp (* 3 (* a x))) 1) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (- (exp (* 3 (* a x))) 1) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (- (exp (* 3 (* a x))) 1) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (- (exp (* 3 (* a x))) 1) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(/ (- (exp (* 3 (* a x))) 1) (- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2)))
(* 3 (* a x))
(* a (+ (* 3 x) (* 9/2 (* a (pow x 2)))))
(* a (+ (* 3 x) (* a (+ (* 9/2 (* a (pow x 3))) (* 9/2 (pow x 2))))))
(* a (+ (* 3 x) (* a (+ (* 9/2 (pow x 2)) (* a (+ (* 27/8 (* a (pow x 4))) (* 9/2 (pow x 3))))))))
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(* 3 (* a x))
(* x (+ (* 3 a) (* 9/2 (* (pow a 2) x))))
(* x (+ (* 3 a) (* x (+ (* 9/2 (* (pow a 3) x)) (* 9/2 (pow a 2))))))
(* x (+ (* 3 a) (* x (+ (* 9/2 (pow a 2)) (* x (+ (* 27/8 (* (pow a 4) x)) (* 9/2 (pow a 3))))))))
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(* 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)
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
-3
(- (* (pow a 2) (- (* 8 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2)))) 3)
(- (* (pow a 2) (- (+ (* 8 (pow x 2)) (* a (- (* 32/3 (pow x 3)) (+ (* 2/3 (pow x 3)) (pow x 3))))) (+ (* 2 (pow x 2)) (pow x 2)))) 3)
(- (* (pow a 2) (- (+ (* 8 (pow x 2)) (* a (- (+ (* 32/3 (pow x 3)) (* a (- (* 32/3 (pow x 4)) (+ (* 1/6 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4))))))) (+ (* 2/3 (pow x 3)) (pow x 3))))) (+ (* 2 (pow x 2)) (pow x 2)))) 3)
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
-3
(- (* (pow x 2) (- (* 8 (pow a 2)) (+ (* 2 (pow a 2)) (pow a 2)))) 3)
(- (* (pow x 2) (- (+ (* 8 (pow a 2)) (* x (- (* 32/3 (pow a 3)) (+ (* 2/3 (pow a 3)) (pow a 3))))) (+ (* 2 (pow a 2)) (pow a 2)))) 3)
(- (* (pow x 2) (- (+ (* 8 (pow a 2)) (* x (- (+ (* 32/3 (pow a 3)) (* x (- (* 32/3 (pow a 4)) (+ (* 1/6 (pow a 4)) (+ (* 1/4 (pow a 4)) (* 1/3 (pow a 4))))))) (+ (* 2/3 (pow a 3)) (pow a 3))))) (+ (* 2 (pow a 2)) (pow a 2)))) 3)
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
-1
(- (* a (- (* 2 x) x)) 1)
(- (* a (- (+ (* 2 x) (* a (- (* 2 (pow x 2)) (* 1/2 (pow x 2))))) x)) 1)
(- (* a (- (+ (* 2 x) (* a (- (+ (* 2 (pow x 2)) (* a (- (* 4/3 (pow x 3)) (* 1/6 (pow x 3))))) (* 1/2 (pow x 2))))) x)) 1)
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
-1
(- (* x (- (* 2 a) a)) 1)
(- (* x (- (+ (* 2 a) (* x (- (* 2 (pow a 2)) (* 1/2 (pow a 2))))) a)) 1)
(- (* x (- (+ (* 2 a) (* x (- (+ (* 2 (pow a 2)) (* x (- (* 4/3 (pow a 3)) (* 1/6 (pow a 3))))) (* 1/2 (pow a 2))))) a)) 1)
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 x (fma.f64 x (.f64 a (*.f64 a #s(literal 1/2 binary64))) a))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 a (fma.f64 a (fma.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 a #s(literal 1/24 binary64))) (.f64 x (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 x (fma.f64 x (.f64 a (*.f64 a #s(literal 1/2 binary64))) a))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))))) a))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a)))) (.f64 a (.f64 a #s(literal 1/2 binary64)))) a))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 x (fma.f64 x (.f64 a (*.f64 a #s(literal 1/2 binary64))) a))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 a (fma.f64 a (fma.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 a #s(literal 1/24 binary64))) (.f64 x (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 x (fma.f64 x (.f64 a (*.f64 a #s(literal 1/2 binary64))) a))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))))) a))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a)))) (.f64 a (.f64 a #s(literal 1/2 binary64)))) a))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 x (fma.f64 x (.f64 a (.f64 a #s(literal 1/2 binary64))) a) #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 x (fma.f64 x (.f64 a (.f64 a #s(literal 1/2 binary64))) a) #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 a a))))) a) #s(literal 1 binary64))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 x (fma.f64 x (.f64 a (*.f64 a #s(literal 1/2 binary64))) a))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 a (fma.f64 a (fma.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 a #s(literal 1/24 binary64))) (.f64 x (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 x (fma.f64 x (.f64 a (*.f64 a #s(literal 1/2 binary64))) a))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))))) a))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a)))) (.f64 a (.f64 a #s(literal 1/2 binary64)))) a))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
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(- (exp (* a x)) 1)
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x
(+ x (* 1/2 (* a (pow x 2))))
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(+ x (* 1/2 (* a (pow x 2))))
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(+ x (* 1/2 (* a (pow x 2))))
(fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(* 1/2 (* a (pow x 2)))
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x
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(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 x (fma.f64 x (.f64 a (*.f64 a #s(literal 1/2 binary64))) a))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
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(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
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(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 x (fma.f64 x (.f64 a (*.f64 a #s(literal 1/2 binary64))) a))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
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(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
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(expm1.f64 (*.f64 a x))
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(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
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(.f64 x (fma.f64 x (.f64 a (*.f64 a #s(literal 1/2 binary64))) a))
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(* a x)
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(* x (+ a (* 1/2 (* (pow a 2) x))))
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(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
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(* 1/24 (* (pow a 4) (pow x 4)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 a a)))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 a (.f64 a a)) x) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 a a))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
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(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
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(* 1/24 (* (pow a 4) (pow x 4)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 a a)))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
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(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
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x
(+ x (* 1/2 (* a (pow x 2))))
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(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(fma.f64 a (.f64 x (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
(+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))
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(* 1/24 (* (pow a 3) (pow x 4)))
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(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
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(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
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(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
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(* 1/24 (* (pow a 3) (pow x 4)))
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(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))
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(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
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x
(* x (+ 1 (* 1/2 (* a x))))
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(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
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(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))
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(* 1/24 (* (pow a 3) (pow x 4)))
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(fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 9 binary64)) (.f64 (.f64 a a) #s(literal 5 binary64))) #s(literal -3 binary64))
(- (* (pow x 2) (- (+ (* 8 (pow a 2)) (* x (- (+ (* 32/3 (pow a 3)) (* x (- (* 32/3 (pow a 4)) (+ (* 1/6 (pow a 4)) (+ (* 1/4 (pow a 4)) (* 1/3 (pow a 4))))))) (+ (* 2/3 (pow a 3)) (pow a 3))))) (+ (* 2 (pow a 2)) (pow a 2)))) 3)
(fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 32/3 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -3/4 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 9 binary64))) (.f64 (*.f64 a a) #s(literal 5 binary64))) #s(literal -3 binary64))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(-.f64 (exp.f64 (.f64 x (.f64 a #s(literal 4 binary64)))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(-.f64 (exp.f64 (.f64 x (.f64 a #s(literal 4 binary64)))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(-.f64 (exp.f64 (.f64 x (.f64 a #s(literal 4 binary64)))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(-.f64 (exp.f64 (.f64 x (.f64 a #s(literal 4 binary64)))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(-.f64 (exp.f64 (.f64 x (.f64 a #s(literal 4 binary64)))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(-.f64 (exp.f64 (.f64 x (.f64 a #s(literal 4 binary64)))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(-.f64 (exp.f64 (.f64 x (.f64 a #s(literal 4 binary64)))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(- (exp (* 4 (* a x))) (pow (+ 1 (exp (* a x))) 2))
(-.f64 (exp.f64 (.f64 x (.f64 a #s(literal 4 binary64)))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
-1
#s(literal -1 binary64)
(- (* a (- (* 2 x) x)) 1)
(fma.f64 a x #s(literal -1 binary64))
(- (* a (- (+ (* 2 x) (* a (- (* 2 (pow x 2)) (* 1/2 (pow x 2))))) x)) 1)
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal 3/2 binary64)) x) #s(literal -1 binary64))
(- (* a (- (+ (* 2 x) (* a (- (+ (* 2 (pow x 2)) (* a (- (* 4/3 (pow x 3)) (* 1/6 (pow x 3))))) (* 1/2 (pow x 2))))) x)) 1)
(fma.f64 a (fma.f64 a (fma.f64 a (.f64 (.f64 x (.f64 x x)) #s(literal 7/6 binary64)) (.f64 (*.f64 x x) #s(literal 3/2 binary64))) x) #s(literal -1 binary64))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(-.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(-.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(-.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(-.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(-.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(-.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(-.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(-.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))
-1
#s(literal -1 binary64)
(- (* x (- (* 2 a) a)) 1)
(fma.f64 a x #s(literal -1 binary64))
(- (* x (- (+ (* 2 a) (* x (- (* 2 (pow a 2)) (* 1/2 (pow a 2))))) a)) 1)
(fma.f64 x (fma.f64 x (.f64 (.f64 a a) #s(literal 3/2 binary64)) a) #s(literal -1 binary64))
(- (* x (- (+ (* 2 a) (* x (- (+ (* 2 (pow a 2)) (* x (- (* 4/3 (pow a 3)) (* 1/6 (pow a 3))))) (* 1/2 (pow a 2))))) a)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 7/6 binary64)) (.f64 (*.f64 a a) #s(literal 3/2 binary64))) a) #s(literal -1 binary64))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(-.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(-.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(-.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(-.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(-.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(-.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(-.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))
(- (exp (* 2 (* a x))) (+ 1 (exp (* a x))))
(-.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))

rewrite359.0ms (4.2%)

Memory

0.7MiB live, 512.5MiB allocated

Rules

7 004×	`lower-fma.f32`
6 994×	`lower-fma.f64`
4 366×	`lower-*.f32`
4 342×	`lower-*.f64`
3 744×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	258
0	78	248
1	305	224
2	2606	212
0	9288	212

Stop Event

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

Counts

20 → 1 983

Calls

Call 1

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

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

eval584.0ms (6.8%)

Memory: -25.1MiB live, 664.6MiB allocated
Compiler: Compiled 122 746 to 8 419 computations (93.1% saved)

prune372.0ms (4.3%)

Memory

10.7MiB live, 504.9MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	2 535	2	2 537
Fresh	0	3	3
Picked	3	2	5
Done	0	0	0
Total	2 538	7	2 545

Accuracy

100.0%

Counts

2 545 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
✓	16.6%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	65.0%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)))
▶	65.0%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) x x)))
▶	62.3%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
▶	66.1%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 162 to 92 computations (43.2% saved)

simplify258.0ms (3%)

Memory

7.1MiB live, 315.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)
cost-diff	0	(.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)))
cost-diff	0	(.f64 a (.f64 x x))
cost-diff	0	(fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
cost-diff	0	(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
cost-diff	0	(.f64 (.f64 a #s(literal 1/2 binary64)) x)
cost-diff	0	(fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x)
cost-diff	0	(.f64 a (fma.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) x x))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) x x)))
cost-diff	0	(*.f64 a x)
cost-diff	0	#s(approx (- (exp (* a x)) 1) (*.f64 a x))
cost-diff	0	(+.f64 x x)
cost-diff	0	(*.f64 a (+.f64 x x))
cost-diff	0	(expm1.f64 (*.f64 a (+.f64 x x)))
cost-diff	7808	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))

Rules

16 566×	`lower-fma.f32`
16 554×	`lower-fma.f64`
2 742×	`lower-*.f32`
2 718×	`lower-*.f64`
2 688×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	283
0	66	283
1	157	283
2	432	283
3	1202	283
4	1987	283
5	3732	276
6	3995	276
7	4293	276
8	5439	276
0	8245	266

Stop Event

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

Calls

Call 1

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

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

localize165.0ms (1.9%)

Memory

-32.9MiB live, 168.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.26583636377793507	(fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)
accuracy	0.35546875	(*.f64 x #s(literal 1/24 binary64))
accuracy	1.211553568714128	(.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x))
accuracy	22.376942226609902	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)))
accuracy	0.35546875	(*.f64 x #s(literal 1/6 binary64))
accuracy	1.2158524895642473	(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
accuracy	8.38061056110443	(.f64 a (.f64 x x))
accuracy	21.64075917139086	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
accuracy	0	(*.f64 a #s(literal 1/2 binary64))
accuracy	0.0546875	(fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x)
accuracy	1.1866676750326737	(.f64 a (fma.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) x x))
accuracy	22.415593022667526	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) x x)))
accuracy	0	(*.f64 a x)
accuracy	21.720181404733847	#s(approx (- (exp (* a x)) 1) (*.f64 a x))
accuracy	0.0078125	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
accuracy	0.0078125	(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
accuracy	0.0078125	(exp.f64 (*.f64 a x))
accuracy	0.01171875	(expm1.f64 (*.f64 a (+.f64 x x)))

Samples

66.0ms

256×

valid

Compiler

Compiled 255 to 38 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 25.0ms (52.1% of total)

ival-add: 9.0ms (18.7% of total)

const: 6.0ms (12.5% of total)

ival-expm1: 4.0ms (8.3% of total)

ival-div: 2.0ms (4.2% of total)

ival-exp: 2.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory

33.9MiB live, 33.9MiB allocated

Counts

23 → 504

Calls

Call 1

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

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

Calls

126 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1))
1.0ms	a	@	0	(/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1))
1.0ms	x	@	0	(/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1))
1.0ms	a	@	inf	(/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1))
1.0ms	a	@	-inf	(/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1))

simplify471.0ms (5.5%)

Memory

15.2MiB live, 279.7MiB allocated

Algorithm

1×	egg-herbie

Rules

22 670×	`lower-fma.f64`
22 670×	`lower-fma.f32`
6 794×	`lower-*.f64`
6 794×	`lower-*.f32`
4 576×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	417	5203
1	1413	5000
2	4903	4870
0	8564	4397

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 498

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(* a x)
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))
(* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(* 2 (* a x))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(* 2 (* a x))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* 1/2 (* a (pow x 2))))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* a (pow x 2)))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* 1/2 (* a x))))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))) a)) (* -1/24 (pow x 4)))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* 1/2 (* a x))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))))
(* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* 1/2 (* a x))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
(* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
2
(+ 2 (* a x))
(+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
2
(+ 2 (* a x))
(+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 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)

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64))))) (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))))) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64))))) (.f64 x #s(literal -1/2 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) x))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(* a x)
(*.f64 a x)
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))
(.f64 a (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (.f64 a a) #s(literal -1/2 binary64))))) (.f64 a (*.f64 a #s(literal 1/2 binary64)))) a))
(* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (fma.f64 x (fma.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 a (.f64 a (.f64 a (.f64 a #s(literal 1/2 binary64)))))) (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (.f64 a a) #s(literal -1/2 binary64))))) (.f64 a #s(literal -1/2 binary64)))) (fma.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (.f64 a a) #s(literal -1/2 binary64)))))))) a))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(.f64 (.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 a x) a))
(* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))))
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(.f64 a (fma.f64 a (fma.f64 #s(literal 2/3 binary64) (.f64 (.f64 a (.f64 (.f64 x x) (.f64 x x))) a) (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64)))) (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(.f64 (.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 a x) a))
(* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))
(.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 a (.f64 a x) a) (.f64 #s(literal 4/3 binary64) (.f64 (.f64 a (.f64 a (*.f64 a x))) x))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 2/3 binary64) (.f64 x (.f64 (.f64 a a) (.f64 a a))) (.f64 (.f64 a (.f64 a a)) #s(literal 4/3 binary64))) (.f64 #s(literal 2 binary64) (.f64 a a))) (*.f64 a #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
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(* 2 x)
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(* 2 x)
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(* 2 x)
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(* 2 x)
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(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* a x)
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(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 a (fma.f64 a (fma.f64 x (.f64 x (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 a (.f64 (.f64 x x) (.f64 x x))) (*.f64 a #s(literal 1/24 binary64)))) x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (fma.f64 a (.f64 a (.f64 a #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/24 binary64)))))) a))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 a (fma.f64 a (fma.f64 x (.f64 x (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 a (.f64 (.f64 x x) (.f64 x x))) (*.f64 a #s(literal 1/24 binary64)))) x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (fma.f64 a (.f64 a (.f64 a #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/24 binary64)))))) a))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a))))
(* a x)
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(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 (.f64 x x) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 (.f64 x x) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 (.f64 x x) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 (.f64 x x) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 (.f64 x x) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 (.f64 x x) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)))
x
(+ x (* 1/2 (* a (pow x 2))))
(fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(+ x (* 1/2 (* a (pow x 2))))
(fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(+ x (* 1/2 (* a (pow x 2))))
(fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(* 1/2 (* a (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (/.f64 x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (/.f64 x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (/.f64 x a)))
(* 1/2 (* a (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(.f64 a (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (/.f64 x a)))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(.f64 a (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (/.f64 x a)))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(.f64 a (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (/.f64 x a)))
x
(* x (+ 1 (* 1/2 (* a x))))
(fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(* x (+ 1 (* 1/2 (* a x))))
(fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(* x (+ 1 (* 1/2 (* a x))))
(fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(* 1/2 (* a (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(* 1/2 (* a (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* a x)
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(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 a (fma.f64 a (fma.f64 x (.f64 x (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 a (.f64 (.f64 x x) (.f64 x x))) (*.f64 a #s(literal 1/24 binary64)))) x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
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(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
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x
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(- (exp (* a x)) 1)
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(expm1.f64 (*.f64 a x))
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
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(* a x)
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(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 a (.f64 a a)) (/.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/24 binary64))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/24 binary64)) (/.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal -1/6 binary64)) (/.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) x)) x)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/24 binary64)) (/.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (/.f64 a x)) x)) x)))
x
(+ x (* 1/2 (* a (pow x 2))))
(fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(fma.f64 a (.f64 x (.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x)
(+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))
(fma.f64 a (fma.f64 x (.f64 x (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 a (.f64 (.f64 x x) (.f64 x x))) (.f64 a #s(literal 1/24 binary64)))) x)
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a (*.f64 a a)) #s(literal 1/24 binary64)))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(.f64 (.f64 a a) (.f64 a (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 a a)) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64))))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(.f64 a (.f64 (.f64 a a) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 a a)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/6 binary64) a) (/.f64 x (.f64 a (.f64 a a))))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a (*.f64 a a)) #s(literal 1/24 binary64)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(.f64 (.f64 a (.f64 a a)) (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/24 binary64)) (/.f64 (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))) a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))) a)) (* -1/24 (pow x 4)))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/24 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (/.f64 x a)) a)) a)) (neg.f64 (.f64 a (.f64 a a))))
x
(* x (+ 1 (* 1/2 (* a x))))
(fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(fma.f64 a (.f64 x (.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x)
(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))
(fma.f64 (.f64 x x) (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/6 binary64)) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/24 binary64)))) (*.f64 a #s(literal 1/2 binary64))) x)
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a (*.f64 a a)) #s(literal 1/24 binary64)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 a (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (*.f64 a a) (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 a a) (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (fma.f64 a (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a (*.f64 a a)) #s(literal 1/24 binary64)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/24 binary64)) (/.f64 (fma.f64 (.f64 a a) #s(literal -1/6 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) x)) x)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/24 binary64)) (/.f64 (-.f64 (.f64 (*.f64 a a) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(.f64 a (.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))
(* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(* 1/24 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/24 binary64))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(.f64 (.f64 a (.f64 a a)) (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) a))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) a)) (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a a))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) a)) (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a a))))
(* 1/24 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/24 binary64))))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(.f64 (.f64 a (.f64 a a)) (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/24 binary64)) (/.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))) a)) (neg.f64 (.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/24 binary64)) (/.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))) a)) (neg.f64 (.f64 a (*.f64 a a))))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(.f64 a (.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))
(* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/6 binary64)) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/24 binary64)))) (*.f64 a #s(literal 1/2 binary64))))
(* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/6 binary64)) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/24 binary64)))) (*.f64 a #s(literal 1/2 binary64))))
(* 1/24 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/24 binary64))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 a a) (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 a (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 a a) (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 a (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 a a) (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))))
(* 1/24 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/24 binary64))))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 a a) (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal -1/24 binary64)) (/.f64 (.f64 a (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x))) (neg.f64 (.f64 x (.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal -1/24 binary64)) (/.f64 (.f64 a (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x))) (neg.f64 (.f64 x (.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 a (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 a (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
2
#s(literal 2 binary64)
(+ 2 (* a x))
(fma.f64 a x #s(literal 2 binary64))
(+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 a (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 2 binary64))
(+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) #s(literal 2 binary64))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
2
#s(literal 2 binary64)
(+ 2 (* a x))
(fma.f64 a x #s(literal 2 binary64))
(+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 a (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 2 binary64))
(+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) #s(literal 2 binary64))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 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))

rewrite316.0ms (3.7%)

Memory

-15.7MiB live, 421.4MiB allocated

Rules

6 550×	`lower-fma.f32`
6 538×	`lower-fma.f64`
3 752×	`lower-*.f32`
3 728×	`lower-*.f64`
3 300×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	234
0	66	241
1	266	227
2	2014	227
0	9127	215

Stop Event

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

Counts

23 → 811

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x)))) #s(literal -1 binary64)))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(+.f64 (exp.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 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))
(+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.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)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (expm1.f64 (+.f64 x x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (pow.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.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) (exp.f64 (+.f64 x x))) (+.f64 (pow.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (*.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (fma.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(expm1.f64 (+.f64 x x))
(expm1.f64 (*.f64 a (+.f64 x x)))
(expm1.f64 (*.f64 a x))
(expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64)))
(expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64)))
(expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x))))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (+.f64 a a))) (+.f64 x x)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (+.f64 a a))) x))
(expm1.f64 (.f64 (.f64 a (+.f64 x x)) a))
(expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 2 binary64)))
(expm1.f64 (.f64 a (.f64 #s(literal 2 binary64) (+.f64 x x))))
(expm1.f64 (.f64 (.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x))) #s(literal 3 binary64)))
(expm1.f64 (.f64 (.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3/2 binary64)))
(expm1.f64 (.f64 a (.f64 (+.f64 x x) #s(literal 3 binary64))))
(expm1.f64 (fma.f64 a x (*.f64 a (+.f64 x x))))
(expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a x)))
(expm1.f64 (fma.f64 a (+.f64 x x) (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))))
(expm1.f64 (+.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x))) (.f64 a (+.f64 x x))))
(expm1.f64 (fma.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64) (.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))))
(expm1.f64 (+.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x))) (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))))
(expm1.f64 (fma.f64 (.f64 a x) #s(literal 3 binary64) (.f64 (*.f64 a x) #s(literal 3 binary64))))
(fma.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a x)) (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (*.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (pow.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (pow.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3/2 binary64))) (exp.f64 (.f64 (.f64 a x) #s(literal 3/2 binary64))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 a (/.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 (.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (exp.f64 (.f64 a x)) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 (.f64 a x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (/.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (/.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (/.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (/.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (/.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (.f64 a x)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (/.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (/.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (/.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (/.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(neg.f64 (neg.f64 (expm1.f64 (+.f64 x x))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
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(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))))
(-.f64 (/.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 a x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (exp.f64 (*.f64 a x)) (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3/2 binary64))) (exp.f64 (.f64 (.f64 a x) #s(literal 3/2 binary64))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (.f64 a (/.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.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) (exp.f64 (+.f64 x x))) (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 (+.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.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 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)))) (.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)))) (.f64 (expm1.f64 (+.f64 x x)) (*.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)))))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x))) (.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (+.f64 x x)))) (.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) (*.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x)))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 3 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal -3 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal -2 binary64))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))))
(.f64 (expm1.f64 (+.f64 x x)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (expm1.f64 (+.f64 x x))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) #s(literal 3 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))) #s(literal 3 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))) #s(literal 3 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (expm1.f64 (+.f64 x x))))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (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))) (expm1.f64 (+.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(*.f64 (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 3 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 (+.f64 x x))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(*.f64 a #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)

eval180.0ms (2.1%)

Memory: 27.3MiB live, 404.3MiB allocated
Compiler: Compiled 35 331 to 2 468 computations (93% saved)

prune226.0ms (2.6%)

Memory

-24.3MiB live, 383.8MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 406	5	1 411
Fresh	0	0	0
Picked	3	2	5
Done	0	2	2
Total	1 409	9	1 418

Accuracy

100.0%

Counts

1 418 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	16.6%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	65.0%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
▶	65.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 a x)))
▶	65.0%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))
▶	66.1%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 a x)) x x)))
✓	65.0%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) x x)))
▶	62.2%	#s(approx (- (exp (* a x)) 1) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))))
✓	66.1%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 213 to 120 computations (43.7% saved)

simplify277.0ms (3.2%)

Memory

19.9MiB live, 245.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x))
cost-diff	0	(.f64 a (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x))))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))
cost-diff	0	(.f64 x (fma.f64 a (.f64 x (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 a x))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 a x)))
cost-diff	0	(*.f64 a x)
cost-diff	0	(.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
cost-diff	320	(fma.f64 x a (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
cost-diff	0	(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 a (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))
cost-diff	0	(.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a x))
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a x)) x x)
cost-diff	0	(.f64 a (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 a x)) x x))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 a x)) x x)))

Rules

16 872×	`lower-fma.f32`
16 856×	`lower-fma.f64`
4 198×	`lower-*.f32`
4 172×	`lower-*.f64`
2 168×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	397
0	69	381
1	159	381
2	446	381
3	1258	381
4	2078	381
5	2845	381
6	3215	381
7	3525	381
8	3759	381
9	3940	381
10	5062	381
11	5067	381
12	5652	381
13	5680	381
14	5687	381
15	5687	381
16	5956	381
17	6337	381
0	8242	371

Stop Event

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

Calls

Call 1

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

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

localize196.0ms (2.3%)

Memory

-12.3MiB live, 174.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))
accuracy	1.2158524895642473	(.f64 a (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x))))
accuracy	8.38061056110443	(.f64 a (.f64 x x))
accuracy	21.64075917139086	#s(approx (- (exp (* a x)) 1) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))))
accuracy	0.2890625	(.f64 x (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
accuracy	1.2032470050416775	(fma.f64 a (.f64 x (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
accuracy	1.212073901562161	(fma.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
accuracy	22.376942226609902	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 a x)))
accuracy	0	(*.f64 a x)
accuracy	0.015625	(fma.f64 x a (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
accuracy	0.23503876953688402	(.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))
accuracy	22.415593022667526	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.0546875	(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	0.28822987136008776	(.f64 (.f64 a (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
accuracy	22.415593022667526	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))
accuracy	0.08984375	(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.26781301309715394	(fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a x)) x x)
accuracy	1.2158524895642473	(.f64 a (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 a x)) x x))
accuracy	21.64075917139086	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 a x)) x x)))

Samples

146.0ms

256×

valid

Compiler

Compiled 349 to 40 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-mult: 54.0ms (42.9% of total)

ival-div: 34.0ms (27% of total)

ival-add: 30.0ms (23.8% of total)

const: 7.0ms (5.6% of total)

ival-expm1: 2.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

series48.0ms (0.6%)

Memory

-6.0MiB live, 72.4MiB allocated

Counts

25 → 588

Calls

Call 1

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

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

Calls

147 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ 1 (+ (* (* a (* x x)) (+ (* (* a x) 1/6) 1/2)) x))
1.0ms	x	@	-inf	(* (* a (+ (* a (* x 1/2)) 1)) x)
0.0ms	a	@	-inf	(* (+ (* (* a x) 1/6) 1/2) (* a x))
0.0ms	a	@	inf	(/ 1 (+ (* (* a (* x x)) (+ (* (* a x) 1/6) 1/2)) x))
0.0ms	x	@	inf	(/ 1 (+ (* (* a (* x x)) (+ (* (* a x) 1/6) 1/2)) x))

simplify248.0ms (2.9%)

Memory

-1.7MiB live, 308.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 624×	`lower-fma.f64`
11 624×	`lower-fma.f32`
6 960×	`lower-*.f64`
6 960×	`lower-*.f32`
2 180×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	528	6682
1	1797	6533
2	5910	6517
0	8142	5940

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 582

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* 1/2 (* a x))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* 1/2 (* a x))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
a
(* a (+ 1 (* 1/2 (* a x))))
(* a (+ 1 (* 1/2 (* a x))))
(* a (+ 1 (* 1/2 (* a x))))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
a
(+ a (* 1/2 (* (pow a 2) x)))
(+ a (* 1/2 (* (pow a 2) x)))
(+ a (* 1/2 (* (pow a 2) x)))
(* 1/2 (* (pow a 2) x))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) x))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(* 1/2 (* a x))
(* a (+ (* 1/2 x) (/ 1 a)))
(* a (+ (* 1/2 x) (/ 1 a)))
(* a (+ (* 1/2 x) (/ 1 a)))
(* 1/2 (* a x))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(* 1/2 (* a x))
(* x (+ (* 1/2 a) (/ 1 x)))
(* x (+ (* 1/2 a) (/ 1 x)))
(* x (+ (* 1/2 a) (/ 1 x)))
(* 1/2 (* a x))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (+ (* 1/2 (/ x (pow a 2))) (/ 1 (pow a 3))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))) a)) (* -1/24 (pow x 3)))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 (* a x))))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(* 1/2 x)
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(/ 1 x)
(+ (* -1/2 a) (/ 1 x))
(+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (* -1/12 (pow x 2))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x))
(/ 6 (* (pow a 2) (pow x 3)))
(/ (- (* 6 (/ 1 (pow x 3))) (* 18 (/ 1 (* a (pow x 4))))) (pow a 2))
(/ (- (+ (* 6 (/ 1 (pow x 3))) (/ 18 (* (pow a 2) (pow x 5)))) (/ 18 (* a (pow x 4)))) (pow a 2))
(/ (- (+ (* 18 (/ 1 (* (pow a 2) (pow x 5)))) (+ (* 54 (/ 1 (* (pow a 3) (pow x 6)))) (* 6 (/ 1 (pow x 3))))) (/ 18 (* a (pow x 4)))) (pow a 2))
(/ 6 (* (pow a 2) (pow x 3)))
(/ (- (* 6 (/ 1 (pow x 3))) (* 18 (/ 1 (* a (pow x 4))))) (pow a 2))
(/ (+ (* -1 (/ (- (* 18 (/ 1 (pow x 4))) (* 18 (/ 1 (* a (pow x 5))))) a)) (* 6 (/ 1 (pow x 3)))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 54 (/ 1 (* a (pow x 6)))) (* 18 (/ 1 (pow x 5)))) a)) (* 18 (/ 1 (pow x 4)))) a)) (* 6 (/ 1 (pow x 3)))) (pow a 2))
(/ 1 x)
(/ (+ 1 (* -1/2 (* a x))) x)
(/ (+ 1 (* x (- (* -1 (* x (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a)))) x)
(/ (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* -1/12 (pow a 3))))) (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a)))) x)
(/ 6 (* (pow a 2) (pow x 3)))
(/ (- (* 6 (/ 1 (pow a 2))) (* 18 (/ 1 (* (pow a 3) x)))) (pow x 3))
(/ (- (+ (* 6 (/ 1 (pow a 2))) (/ 18 (* (pow a 4) (pow x 2)))) (/ 18 (* (pow a 3) x))) (pow x 3))
(/ (- (+ (* 18 (/ 1 (* (pow a 4) (pow x 2)))) (+ (* 54 (/ 1 (* (pow a 5) (pow x 3)))) (* 6 (/ 1 (pow a 2))))) (/ 18 (* (pow a 3) x))) (pow x 3))
(/ 6 (* (pow a 2) (pow x 3)))
(* -1 (/ (- (* 18 (/ 1 (* (pow a 3) x))) (* 6 (/ 1 (pow a 2)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 (* (pow a 4) x))) (* 18 (/ 1 (pow a 3)))) x)) (* 6 (/ 1 (pow a 2)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (+ (/ 18 (* (pow a 4) x)) (/ 54 (* (pow a 5) (pow x 2)))) (* 18 (/ 1 (pow a 3)))) x)) (* 6 (/ 1 (pow a 2)))) (pow x 3)))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(* 1/6 (* a x))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* 1/6 (* a x))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(* 1/6 (* a x))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* 1/6 (* a x))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))
(+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))
(+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(* 1/6 x)
(* x (+ 1/6 (* 1/24 (* a x))))
(* x (+ 1/6 (* 1/24 (* a x))))
(* x (+ 1/6 (* 1/24 (* a x))))
(* 1/24 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* (pow x 2) (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* (pow x 2) (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* 1/24 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* (pow x 2) (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* (pow x 2) (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* 1/6 x)
(+ (* 1/24 (* a (pow x 2))) (* 1/6 x))
(+ (* 1/24 (* a (pow x 2))) (* 1/6 x))
(+ (* 1/24 (* a (pow x 2))) (* 1/6 x))
(* 1/24 (* a (pow x 2)))
(* a (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* a (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* a (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* 1/24 (* a (pow x 2)))
(* -1 (* a (+ (* -1/6 (/ x a)) (* -1/24 (pow x 2)))))
(* -1 (* a (+ (* -1/6 (/ x a)) (* -1/24 (pow x 2)))))
(* -1 (* a (+ (* -1/6 (/ x a)) (* -1/24 (pow x 2)))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))

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

rewrite582.0ms (6.8%)

Memory

20.3MiB live, 407.6MiB allocated

Rules

5 742×	`lower-*.f32`
5 716×	`lower-*.f64`
4 914×	`lower-fma.f32`
4 898×	`lower-fma.f64`
3 880×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	330
0	69	314
1	284	312
2	1934	312
0	8173	302

Stop Event

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

Counts

25 → 841

Calls

Call 1

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

Outputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 a x)))
(+.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 a x))
(-.f64 (/.f64 (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (.f64 a x) (.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (-.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 a x))) (/.f64 (.f64 a (.f64 a (.f64 x x))) (-.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 a x))))
(fma.f64 a x (.f64 (.f64 a x) (.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 a (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 a x))
(fma.f64 a (log.f64 (exp.f64 x)) (.f64 (.f64 a x) (.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 x a (.f64 (.f64 a x) (.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 x (.f64 (.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a) (*.f64 a x))
(fma.f64 (.f64 a x) (.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 a x))
(fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a (.f64 x x))) (*.f64 a x))
(fma.f64 (.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 a x) (*.f64 a x))
(fma.f64 (.f64 a (.f64 x x)) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 a x))
(fma.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a (*.f64 a x))
(fma.f64 (.f64 a (.f64 a (.f64 x x))) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 a x))
(fma.f64 (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 a (.f64 x x)) (*.f64 a x))
(fma.f64 (.f64 a a) (.f64 x (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 a x))
(fma.f64 (.f64 a (.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) x (*.f64 a x))
(/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))
(/.f64 a (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 a (.f64 x x)) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))) (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 a (.f64 x x)) (.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))))
(/.f64 a (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (.f64 x (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 x)) (.f64 (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (fma.f64 a (.f64 x (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) a))
(/.f64 (.f64 (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 a x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) a)))
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) #s(literal 6 binary64)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 a (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))) (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 a (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 a (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))) #s(literal 1/4 binary64)))) (fma.f64 x (.f64 a (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 a (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))) (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 a (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 a (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))) #s(literal 1/4 binary64)) (fma.f64 x (.f64 a (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 a (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 a (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))) #s(literal 1/4 binary64)) (.f64 (.f64 a x) (.f64 (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 a (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 a (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 a (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))) #s(literal 1/4 binary64)) (.f64 (.f64 a x) (.f64 (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 a (.f64 x (.f64 a (fma.f64 a (.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 (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal -1/2 binary64)) (fma.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 a (.f64 x (.f64 a (fma.f64 a (.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 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 a (.f64 x (.f64 a (fma.f64 a (.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 (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 a (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))) #s(literal 1/4 binary64)) (.f64 (.f64 a x) (.f64 (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(.f64 (fma.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 a (.f64 x (.f64 a (fma.f64 a (.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 (.f64 a (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))))
(+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64))))
(+.f64 (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 x #s(literal 1/6 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (-.f64 (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 x #s(literal 1/6 binary64)))) (/.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 x #s(literal 1/6 binary64)))))
(fma.f64 a (.f64 (.f64 x #s(literal 1/24 binary64)) x) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 (*.f64 a x) #s(literal 1/24 binary64))))
(fma.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 a x) (.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 (*.f64 a x) #s(literal 1/24 binary64))))
(fma.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 a x) #s(literal 1/24 binary64)) x (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 a x) (*.f64 x #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))) (fma.f64 (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64))) (-.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64)))) (-.f64 (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 x #s(literal 1/6 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (.f64 (*.f64 a x) #s(literal 1/144 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (.f64 (*.f64 a x) #s(literal 1/144 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64))) (-.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))))) (neg.f64 (-.f64 (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 x #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (.f64 (*.f64 a x) #s(literal 1/144 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (.f64 (*.f64 a x) #s(literal 1/144 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x)) (neg.f64 (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 (*.f64 a x) #s(literal 1/24 binary64)))))))
(.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
(.f64 (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) x)
(.f64 a (.f64 x x))
(.f64 x (.f64 a x))
(.f64 (.f64 a x) x)
(.f64 (.f64 x x) a)

eval545.0ms (6.4%)

Memory: 33.8MiB live, 460.9MiB allocated
Compiler: Compiled 50 524 to 2 988 computations (94.1% saved)

prune402.0ms (4.7%)

Memory

-11.4MiB live, 498.1MiB allocated

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	1 658	6	1 664
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	1 660	13	1 673

Accuracy

100.0%

Counts

1 673 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	16.6%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	65.0%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
✓	65.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 a x)))
	66.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 a x)))
✓	65.0%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))
✓	65.0%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) x x)))
	66.6%	#s(approx (- (exp (* a x)) 1) (.f64 a (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* a (* x x)) (+ (* (* a x) 1/6) 1/2)) x)) (fma.f64 a (fma.f64 a (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))))
	71.0%	#s(approx (- (exp (* a x)) 1) (.f64 a (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* a (* x x)) (+ (* (* a x) 1/6) 1/2)) x)) (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
	61.7%	#s(approx (- (exp (* a x)) 1) (.f64 a (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* a (* x x)) (+ (* (* a x) 1/6) 1/2)) x)) (/.f64 (fma.f64 x (fma.f64 a #s(literal -1/2 binary64) (.f64 (.f64 x (*.f64 a a)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) x)))))
	69.9%	#s(approx (- (exp (* a x)) 1) (.f64 a (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* a (* x x)) (+ (* (* a x) 1/6) 1/2)) x)) (/.f64 (fma.f64 a (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))))
	65.9%	#s(approx (- (exp (* a x)) 1) (.f64 a (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* a (* x x)) (+ (* (* a x) 1/6) 1/2)) x)) (/.f64 #s(literal 1 binary64) x)))))
✓	66.1%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 505 to 206 computations (59.2% saved)

regimes38.0ms (0.4%)

Memory

30.4MiB live, 66.4MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) x x)))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* a (* x x)) (+ (* (* a x) 1/6) 1/2)) x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 a x)) x x)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 a x)))
#s(approx (- (exp (* a x)) 1) (.f64 a (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* a (* x x)) (+ (* (* a x) 1/6) 1/2)) x)) (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* a (* x x)) (+ (* (* a x) 1/6) 1/2)) x)) (/.f64 (fma.f64 a (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 a x)))
#s(approx (- (exp (* a x)) 1) (.f64 a (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* a (* x x)) (+ (* (* a x) 1/6) 1/2)) x)) (fma.f64 a (fma.f64 a (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* a (* x x)) (+ (* (* a x) 1/6) 1/2)) x)) (/.f64 (fma.f64 x (fma.f64 a #s(literal -1/2 binary64) (.f64 (.f64 x (*.f64 a a)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) x)))))
#s(approx (- (exp (* a x)) 1) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (*.f64 a x))))

Outputs
(expm1.f64 (*.f64 a x))

Calls

5 calls:

13.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
6.0ms	x
6.0ms	a
6.0ms	(*.f64 a x)
5.0ms	(exp.f64 (*.f64 a x))

Results

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

Compiler

Compiled 25 to 17 computations (32% saved)

regimes49.0ms (0.6%)

Memory

4.5MiB live, 41.9MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) x x)))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* a (* x x)) (+ (* (* a x) 1/6) 1/2)) x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 a x)) x x)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 a x)))
#s(approx (- (exp (* a x)) 1) (.f64 a (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* a (* x x)) (+ (* (* a x) 1/6) 1/2)) x)) (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* a (* x x)) (+ (* (* a x) 1/6) 1/2)) x)) (/.f64 (fma.f64 a (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 a x)))
#s(approx (- (exp (* a x)) 1) (.f64 a (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* a (* x x)) (+ (* (* a x) 1/6) 1/2)) x)) (fma.f64 a (fma.f64 a (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* a (* x x)) (+ (* (* a x) 1/6) 1/2)) x)) (/.f64 (fma.f64 x (fma.f64 a #s(literal -1/2 binary64) (.f64 (.f64 x (*.f64 a a)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) x)))))
#s(approx (- (exp (* a x)) 1) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))))

Outputs

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

Calls

5 calls:

29.0ms	(*.f64 a x)
5.0ms	x
5.0ms	a
4.0ms	(exp.f64 (*.f64 a x))
4.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
71.0%	1	`a`
71.0%	1	`x`
71.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
71.0%	1	`(exp.f64 (*.f64 a x))`
71.0%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes39.0ms (0.5%)

Memory

-36.4MiB live, 27.8MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

25.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
3.0ms	a
3.0ms	x
3.0ms	(*.f64 a x)
3.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
66.2%	1	`(exp.f64 (*.f64 a x))`
66.2%	1	`(*.f64 a x)`
66.2%	1	`a`
66.2%	1	`x`
66.2%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes19.0ms (0.2%)

Memory

-9.4MiB live, 28.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	(*.f64 a x)
3.0ms	x
3.0ms	a
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
2.0ms	(exp.f64 (*.f64 a x))

Results

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

Compiler

Compiled 25 to 17 computations (32% saved)

regimes17.0ms (0.2%)

Memory

-5.1MiB live, 33.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Calls

5 calls:

6.0ms	(*.f64 a x)
3.0ms	x
3.0ms	a
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
2.0ms	(exp.f64 (*.f64 a x))

Results

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

Compiler

Compiled 25 to 17 computations (32% saved)

regimes6.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
16.6%	1	`a`
16.6%	1	`(*.f64 a x)`
16.6%	1	`x`
16.6%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
16.6%	1	`(exp.f64 (*.f64 a x))`

Compiler

Compiled 25 to 17 computations (32% saved)

simplify10.0ms (0.1%)

Memory

-22.6MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-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	38	101
1	50	101
2	54	101
3	57	101
4	60	101
5	63	101

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.2s (13.5%)

Memory

24.8MiB live, 640.2MiB allocated

Rules

11 624×	`lower-fma.f64`
11 624×	`lower-fma.f32`
8 560×	`lower-fma.f64`
8 560×	`lower-fma.f32`
6 960×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	30	13
2	152	13
0	1346	11
0	528	6682
1	1797	6533
2	5910	6517
0	8142	5940
0	38	330
0	69	314
1	284	312
2	1934	312
0	8173	302
0	36	234
0	66	241
1	266	227
2	2014	227
0	9127	215
0	63	432
1	195	432
2	526	424
3	1050	424
4	1650	424
5	1848	424
6	1875	424
7	1895	424
8	1909	424
9	1912	424
10	1912	424
11	2607	420
12	3082	420
13	4049	420
14	4050	420
15	4050	420
16	4178	420
17	4178	420
18	6095	416
19	6319	416
20	6361	416
21	6375	416
22	6375	416
23	6551	416
24	6889	416
25	6889	416
26	7463	416
0	7463	360

Stop Event

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

Compiler

Compiled 160 to 84 computations (47.5% saved)

preprocess73.0ms (0.9%)

Memory: -5.8MiB live, 148.6MiB allocated
Remove: (sort a x)
Compiler: Compiled 192 to 98 computations (49% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	36
1	42	36
2	73	34
3	108	34
4	141	34
5	165	34
6	204	34
7	226	34
8	240	34
9	251	34
10	252	34
0	6	6
0	9	6
1	17	6
2	20	6
0	20	4

Iter	Nodes	Cost
0	16	36
1	42	36
2	73	34
3	108	34
4	141	34
5	165	34
6	204	34
7	226	34
8	240	34
9	251	34
10	252	34
0	6	6
0	9	6
1	17	6
2	20	6
0	20	4

start0.0ms (0%)

analyze19.0ms (0.2%)

sample602.0ms (7%)

explain71.0ms (0.8%)

preprocess19.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize40.0ms (0.5%)

series4.0ms (0.1%)

simplify272.0ms (3.2%)

rewrite89.0ms (1%)

eval25.0ms (0.3%)

prune24.0ms (0.3%)

simplify243.0ms (2.8%)

localize147.0ms (1.7%)

series55.0ms (0.6%)

simplify262.0ms (3.1%)

rewrite359.0ms (4.2%)

eval584.0ms (6.8%)

prune372.0ms (4.3%)

simplify258.0ms (3%)

localize165.0ms (1.9%)

series35.0ms (0.4%)

simplify471.0ms (5.5%)

rewrite316.0ms (3.7%)

eval180.0ms (2.1%)

prune226.0ms (2.6%)

simplify277.0ms (3.2%)

localize196.0ms (2.3%)

series48.0ms (0.6%)

simplify248.0ms (2.9%)

rewrite582.0ms (6.8%)

eval545.0ms (6.4%)

prune402.0ms (4.7%)

regimes38.0ms (0.4%)

regimes49.0ms (0.6%)

regimes39.0ms (0.5%)

regimes19.0ms (0.2%)

regimes17.0ms (0.2%)

regimes6.0ms (0.1%)

simplify10.0ms (0.1%)

soundness1.2s (13.5%)

preprocess73.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	36
1	42	36
2	73	34
3	108	34
4	141	34
5	165	34
6	204	34
7	226	34
8	240	34
9	251	34
10	252	34
0	6	6
0	9	6
1	17	6
2	20	6
0	20	4