Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze17.0ms (0.2%)

Memory

34.4MiB 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)

sample811.0ms (8.7%)

Memory

-55.3MiB live, 809.1MiB allocated

Samples

528.0ms	8 256×	0	valid
17.0ms	301×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 385.0ms

ival-expm1: 275.0ms (71.5% of total)

ival-mult: 76.0ms (19.8% of total)

ival->: 23.0ms (6% of total)

exact: 7.0ms (1.8% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain76.0ms (0.8%)

Memory

11.3MiB live, 145.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
136	-	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	-	-	`a`
0	-	-	`(exp.f64 (*.f64 a x))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 a x)`
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	136	0

Confusion

	Predicted +	Predicted -
+	136	0
-	0	120

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	136	0	0
-	0	0	120

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	120
1	136

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

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 (34.8% of total)

ival-mult: 4.0ms (34.8% of total)

ival-expm1: 3.0ms (26.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess20.0ms (0.2%)

Memory

-3.8MiB live, 33.1MiB 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: 0.5MiB live, 0.5MiB 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
▶	53.0%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0%)

Memory

9.9MiB live, 9.9MiB 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)

localize24.0ms (0.3%)

Memory

-34.8MiB live, 50.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a x)
accuracy	0	(exp.f64 (*.f64 a x))
accuracy	30.093954113609662	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

17.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-exp: 2.0ms (35.2% of total)

ival-mult: 2.0ms (35.2% of total)

ival-expm1: 2.0ms (35.2% 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%)

Memory

8.4MiB live, 8.4MiB 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)

simplify333.0ms (3.6%)

Memory

24.4MiB live, 253.2MiB 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 (*.f64 a 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 (*.f64 a 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

-3.9MiB live, 151.7MiB 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)

eval39.0ms (0.4%)

Memory: -3.5MiB live, 45.1MiB allocated
Compiler: Compiled 3 258 to 324 computations (90.1% saved)

prune27.0ms (0.3%)

Memory

-13.1MiB live, 65.1MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	172	11	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	173	11	184

Accuracy

100.0%

Counts

184 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.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))))))
▶	22.0%	(-.f64 #s(approx (exp (* a x)) (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))) #s(literal 1 binary64))
▶	21.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	22.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	20.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
	99.9%	(.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)))))
▶	100.0%	(expm1.f64 (*.f64 a x))
	67.2%	#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)))
	66.4%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 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)))) x)))
	66.2%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
	69.0%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 314 to 182 computations (42% saved)

simplify68.0ms (0.7%)

Memory

22.6MiB live, 100.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

1 908×	`lower-fma.f32`
1 896×	`lower-fma.f64`
1 058×	`associate-r`
1 014×	`lower-*.f32`
1 004×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	211
0	49	211
1	99	211
2	228	211
3	546	211
4	968	211
5	1235	211
6	1249	211
7	1264	211
8	1272	211
9	1273	211
10	1273	211
11	1529	211
12	1538	211
13	1551	211
14	1551	211
0	1551	211

Stop Event

1×	iter limit
1×	saturated
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)
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
(fma.f64 a x #s(literal 1 binary64))
a
x
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))
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(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (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))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (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)))
(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))
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(literal 1 binary64)

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

localize117.0ms (1.3%)

Memory

9.7MiB live, 124.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.48469090018266814	(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))
accuracy	5.744954252134385	(.f64 a (.f64 x x))
accuracy	19.65819445529591	#s(approx (exp (* a x)) (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)))
accuracy	30.093954113609662	(-.f64 #s(approx (exp (* a x)) (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))) #s(literal 1 binary64))
accuracy	1.6521998176152128	(fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))
accuracy	3.616755434157589	(fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
accuracy	19.70484551924543	#s(approx (exp (* a x)) (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))
accuracy	30.093954113609662	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0	(fma.f64 a x #s(literal 1 binary64))
accuracy	19.82954112944966	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
accuracy	30.093954113609662	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	20.259015763552437	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	30.093954113609662	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0	(*.f64 a x)
accuracy	0.01171875	(expm1.f64 (*.f64 a x))

Samples

88.0ms

256×

valid

Compiler

Compiled 153 to 25 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-add: 51.0ms (69.4% of total)

ival-mult: 15.0ms (20.4% of total)

const: 3.0ms (4.1% of total)

ival-exp: 2.0ms (2.7% of total)

ival-expm1: 2.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.3%)

Memory

7.0MiB live, 47.5MiB allocated

Counts

16 → 384

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

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>) () ())) ())
#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>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#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 (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#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 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#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 (* 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 #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 (- (exp (* a x)) 1) (taylor inf a) (#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 (- (exp (* a x)) 1) (taylor inf a) (#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 (- (exp (* a x)) 1) (taylor inf a) (#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 (- (exp (* a x)) 1) (taylor inf a) (#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 (- (exp (* a x)) 1) (taylor -inf a) (#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 (- (exp (* a x)) 1) (taylor -inf a) (#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 (- (exp (* a x)) 1) (taylor -inf a) (#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 (- (exp (* a x)) 1) (taylor -inf a) (#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 (* a x) (taylor 0 x) (#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 (* x (+ a (* 1/2 (* (pow a 2) x)))) (taylor 0 x) (#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 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) (taylor 0 x) (#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 (* 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 #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 (- (exp (* a x)) 1) (taylor inf x) (#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>) () ())) ())
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#s(alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))) (taylor 0 x) (#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 (* 1/6 (* (pow a 2) (pow x 3))) (taylor inf x) (#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 (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) (taylor inf x) (#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 (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) (taylor inf x) (#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 (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) (taylor inf x) (#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 (* 1/6 (* (pow a 2) (pow x 3))) (taylor -inf x) (#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 (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) (taylor -inf x) (#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 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))))) (taylor -inf x) (#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 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))))) (taylor -inf x) (#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 (* 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

96 calls:

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

simplify461.0ms (5%)

Memory

2.2MiB live, 667.3MiB allocated

Algorithm

1×	egg-herbie

Rules

19 060×	`lower-fma.f64`
19 060×	`lower-fma.f32`
4 442×	`lower-*.f64`
4 442×	`lower-*.f32`
2 202×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	3108
1	695	3096
2	2453	3006
3	6687	3000
0	8191	2608

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 380

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)
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))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 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))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* 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)) (+ (/ 1 (pow a 2)) (/ x a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 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 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* 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)) (+ (/ 1 (pow x 2)) (/ a x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 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 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
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)))
(* 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))
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)))))))
(* 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)) (+ (/ 1 (pow a 3)) (/ 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 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
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)))))))
(* 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)) (+ (/ 1 (pow x 3)) (/ 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 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) 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))

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

rewrite363.0ms (3.9%)

Memory

8.4MiB live, 560.1MiB allocated

Rules

5 696×	`lower-fma.f32`
5 684×	`lower-fma.f64`
3 966×	`lower-/.f64`
3 966×	`lower-/.f32`
3 586×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	176
0	49	176
1	219	176
2	1715	176
0	8262	176

Stop Event

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

Counts

16 → 482

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

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 (.f64 a x) #s(literal 3 binary64))) (+.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 (+.f64 x x))) (+.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))) (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 (.f64 a x) #s(literal 3 binary64))) (+.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 (+.f64 x x))) (+.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 (exp.f64 (.f64 (.f64 a 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 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 (.f64 a 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)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))))))
(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 #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 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)))))
(/.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 (*.f64 a x) #s(literal 3 binary64)))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 a 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) (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 (.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 a 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)))) (neg.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 a x))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.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))) #s(literal 1 binary64))) (.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 (.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (+.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 (neg.f64 (neg.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 a (+.f64 x x))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a (+.f64 x x))) (.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.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 (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3 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 (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 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 (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.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 (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))))))
(/.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)))))))
(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 (.f64 a 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 (expm1.f64 (.f64 (.f64 a 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 (neg.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.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 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (/.f64 (expm1.f64 (.f64 a x)) #s(literal 1 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))
(fma.f64 (*.f64 a x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 a x) #s(literal 0 binary64))
(*.f64 a x)
(*.f64 a (log.f64 (exp.f64 x)))
(*.f64 x a)
(.f64 (.f64 a x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 a x))
(+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (+.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))))))
(+.f64 (/.f64 (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64))))))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (+.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))))))
(fma.f64 (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (/.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))) (fma.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (-.f64 (.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 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (fma.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 x (.f64 x x))) (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 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 x (.f64 x x))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))))
(/.f64 #s(literal -1 binary64) (neg.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))))
(/.f64 (.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 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x))) (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 x (.f64 x x)))) (neg.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 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))))))
(/.f64 (neg.f64 (.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 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x)))) (neg.f64 (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x))))
(/.f64 (-.f64 (.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 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (-.f64 x (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (.f64 a 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))) (neg.f64 x)) (.f64 x x))) (.f64 (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x)) (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 x (.f64 x x))))) (neg.f64 (neg.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 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (.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 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x))))) (neg.f64 (neg.f64 (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.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 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))) (neg.f64 (-.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 (.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x))) #s(literal 1/216 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))) (.f64 (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (.f64 (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)))) (fma.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 a x))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 a x))) (-.f64 (.f64 (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 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 a x))) (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 a x)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))))) (fma.f64 (+.f64 x (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 a x)))) (+.f64 x (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 a x)))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 x x)) (.f64 a (.f64 x x)))) (.f64 (+.f64 x (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 a x)))) (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x))) (/.f64 (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x))) (.f64 (/.f64 (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 a x))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 a x)))) (.f64 (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 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 a x))) (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
(/.f64 (-.f64 (.f64 (+.f64 x (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 a x)))) (+.f64 x (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 a x))))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 x x)) (.f64 a (.f64 x x))))) (-.f64 (+.f64 x (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 a x)))) (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(pow.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)) #s(literal -1 binary64))
(.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 (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (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 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(.f64 (fma.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))))))
(.f64 (.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 (.f64 a 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) (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.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 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))
(.f64 (neg.f64 (.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 (.f64 a 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) (neg.f64 (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x)))))
(.f64 (-.f64 (.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 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 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 x x))
(.f64 x (.f64 a x))
(.f64 (.f64 a x) x)
(.f64 (.f64 x x) a)

eval112.0ms (1.2%)

Memory: 12.5MiB live, 208.2MiB allocated
Compiler: Compiled 26 215 to 1 650 computations (93.7% saved)

prune192.0ms (2.1%)

Memory

-12.8MiB live, 162.4MiB allocated

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	848	14	862
Fresh	2	4	6
Picked	1	4	5
Done	0	0	0
Total	851	22	873

Accuracy

100.0%

Counts

873 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.6%	(fma.f64 (/.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (/.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))))
▶	22.1%	(/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64)) (+.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))
	22.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))
	99.8%	(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))))
▶	22.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
	21.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	22.0%	(-.f64 #s(approx (exp (* a x)) (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))) #s(literal 1 binary64))
✓	22.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
	22.4%	(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 a x) a) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
	22.4%	(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a x) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
	22.4%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 a x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a x)))))) #s(literal 1 binary64))
	22.0%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 a x))) (fma.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
	22.0%	(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 a x) (.f64 a x)) (*.f64 a x)))))) #s(literal 1 binary64))
▶	22.4%	(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (*.f64 a x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
	5.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* a (* 1/2 (* x x))) x)) 1) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))))) #s(literal 1 binary64))
✓	20.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	99.9%	(.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)))))
✓	100.0%	(expm1.f64 (*.f64 a x))
	67.2%	#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)))
	66.4%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 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)))) x)))
	66.2%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x)))
▶	69.0%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 830 to 371 computations (55.3% saved)

simplify483.0ms (5.2%)

Memory

24.3MiB live, 762.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64)) (+.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))
cost-diff	384	(+.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (.f64 a x) (.f64 a x) #s(literal -1 binary64))
cost-diff	0	#s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (*.f64 a x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (*.f64 a x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
cost-diff	2048	(.f64 (fma.f64 (.f64 a x) (*.f64 a x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
cost-diff	0	(+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
cost-diff	0	(*.f64 a x)
cost-diff	0	#s(approx (- (exp (* a x)) 1) (*.f64 a x))
cost-diff	0	(.f64 a (.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
cost-diff	0	(+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
cost-diff	7872	(.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)))))

Rules

23 724×	`lower-fma.f32`
23 714×	`lower-fma.f64`
2 490×	`lower--.f32`
2 488×	`lower--.f64`
2 486×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	377
0	55	306
1	96	306
2	172	289
3	307	289
4	840	281
5	2590	281
6	5908	281
0	8077	275

Stop Event

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

Calls

Call 1

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

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

localize165.0ms (1.8%)

Memory

-20.4MiB live, 293.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))
accuracy	0.1171875	(/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64)) (+.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))
accuracy	19.829541129449673	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
accuracy	29.9607709166626	(fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64))
accuracy	0.078125	(/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
accuracy	11.107814418800034	(.f64 (fma.f64 (.f64 a x) (*.f64 a x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))
accuracy	19.82954112944966	#s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (*.f64 a x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))))
accuracy	30.093954113609662	(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (*.f64 a x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
accuracy	0.13671875	(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))
accuracy	0.8377819312044065	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
accuracy	19.829541129449673	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
accuracy	30.093954113609662	(+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
accuracy	0	(*.f64 a x)
accuracy	19.853490781998868	#s(approx (- (exp (* a x)) 1) (*.f64 a x))
accuracy	0	(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
accuracy	0.015625	(expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
accuracy	0.01953125	(+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
accuracy	0.02734375	(.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)))))

Samples

63.0ms	84×	2	valid
35.0ms	85×	1	valid
19.0ms	87×	0	valid

Compiler

Compiled 254 to 31 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-exp: 25.0ms (29.5% of total)

ival-mult: 17.0ms (20.1% of total)

ival-add: 15.0ms (17.7% of total)

adjust: 14.0ms (16.5% of total)

ival-div: 9.0ms (10.6% of total)

ival-expm1: 4.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series50.0ms (0.5%)

Memory

0.5MiB live, 76.6MiB allocated

Counts

20 → 480

Calls

Call 1

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

Outputs
#s(alt (* a x) (taylor 0 a) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3)))))))) (taylor 0 a) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (+ (* 1/8 (pow x 3)) (* a (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))))))))))) (taylor 0 a) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) (taylor inf a) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) (taylor inf a) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) (taylor inf a) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) (taylor inf a) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) (taylor -inf a) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) (taylor -inf a) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) (taylor -inf a) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) (taylor -inf a) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ a (* 1/2 (* (pow a 2) x)))) (taylor 0 x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (* 1/8 (pow a 3)))))))) (taylor 0 x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (+ (* 1/8 (pow a 3)) (* x (+ (* 1/192 (pow a 4)) (+ (* 1/64 (pow a 4)) (* 1/48 (pow a 4)))))))))))) (taylor 0 x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) (taylor inf x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) (taylor inf x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) (taylor inf x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) (taylor inf x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) (taylor -inf x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) (taylor -inf x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) (taylor -inf x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) (taylor -inf x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 a) (#s(alt (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 1/2 (* a x))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x)))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2))))))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* 1/2 (* a x)))) (taylor inf a) (#s(alt (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* 1/2 (* a x)))) (taylor inf a) (#s(alt (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* 1/2 (* a x)))) (taylor inf a) (#s(alt (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* 1/2 (* a x)))) (taylor inf a) (#s(alt (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* 1/2 (* a x)))) (taylor -inf a) (#s(alt (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* 1/2 (* a x)))) (taylor -inf a) (#s(alt (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* 1/2 (* a x)))) (taylor -inf a) (#s(alt (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* 1/2 (* a x)))) (taylor -inf a) (#s(alt (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (- (exp (* 1/2 (* a x))) 1) (taylor -inf a) (#s(alt (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 1/2 (* a x))) 1) (taylor -inf a) (#s(alt (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 1/2 (* a x))) 1) (taylor -inf a) (#s(alt (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 1/2 (* a x))) 1) (taylor -inf a) (#s(alt (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* a x)) (taylor 0 x) (#s(alt (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a))) (taylor 0 x) (#s(alt (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2)))))) (taylor 0 x) (#s(alt (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 a) (* x (+ (* 1/8 (pow a 2)) (* x (+ (* 1/384 (* (pow a 4) x)) (* 1/48 (pow a 3)))))))) (taylor 0 x) (#s(alt (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 1/2 (* a x))) 1) (taylor inf x) (#s(alt (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 1/2 (* a x))) 1) (taylor inf x) (#s(alt (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 1/2 (* a x))) 1) (taylor inf x) (#s(alt (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 1/2 (* a x))) 1) (taylor inf x) (#s(alt (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 1/2 (* a x))) 1) (taylor -inf x) (#s(alt (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 1/2 (* a x))) 1) (taylor -inf x) (#s(alt (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 1/2 (* a x))) 1) (taylor -inf x) (#s(alt (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 1/2 (* a x))) 1) (taylor -inf x) (#s(alt (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* a x)) 1) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* -1 (* a (pow x 2))) x)) 1) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* a (- (* -1 (* a (pow x 3))) (pow x 2))) x)) 1) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a x)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) a) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ 1 x) (+ (/ 1 (* a (pow x 2))) (/ 1 (* (pow a 2) (pow x 3))))) a) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ 1 x) (+ (/ 1 (* a (pow x 2))) (+ (/ 1 (* (pow a 2) (pow x 3))) (/ 1 (* (pow a 3) (pow x 4)))))) a) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a x)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) a) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) a)) (/ 1 x)) a)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (+ (/ 1 (* (pow a 2) (pow x 4))) (/ 1 (pow x 2)))) a)) (/ 1 x)) a)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* a x)) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1 (* (pow a 2) x)) a)) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -1 (* (pow a 3) x)) (pow a 2))) a)) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a x)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ 1 a) (/ 1 (* (pow a 2) x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ 1 a) (+ (/ 1 (* (pow a 2) x)) (/ 1 (* (pow a 3) (pow x 2))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ 1 a) (+ (/ 1 (* (pow a 2) x)) (+ (/ 1 (* (pow a 3) (pow x 2))) (/ 1 (* (pow a 4) (pow x 3)))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ 1 a) (/ 1 (* (pow a 2) x))) x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow a 3) x)) (+ (/ 1 (* (pow a 4) (pow x 2))) (/ 1 (pow a 2)))) x)) (/ 1 a)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* 2 (* a x))) (taylor 0 a) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))) (taylor 0 a) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 1/3 (pow x 3)) (pow x 3)))))))) (taylor 0 a) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* a x)) 2) (taylor inf a) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* a x)) 2) (taylor inf a) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* a x)) 2) (taylor inf a) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* a x)) 2) (taylor inf a) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* a x)) 2) (taylor -inf a) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* a x)) 2) (taylor -inf a) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* a x)) 2) (taylor -inf a) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* a x)) 2) (taylor -inf a) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (* a x))) (taylor 0 x) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))) (taylor 0 x) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 1/3 (pow a 3)) (pow a 3)))))))) (taylor 0 x) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* a x)) 2) (taylor inf x) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* a x)) 2) (taylor inf x) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* a x)) 2) (taylor inf x) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* a x)) 2) (taylor inf x) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* a x)) 2) (taylor -inf x) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* a x)) 2) (taylor -inf x) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* a x)) 2) (taylor -inf x) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* a x)) 2) (taylor -inf x) (#s(alt (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())

Calls

120 calls:

Time	Variable		Point	Expression
6.0ms	a	@	0	(/ (+ (* (exp (* a x)) (* (exp (* a x)) (exp (* a x)))) -1) (+ (+ (* (exp (* a x)) (exp (* a x))) 1) (exp (* a x))))
2.0ms	a	@	-inf	(/ 1 (+ (exp (* a x)) -1))
2.0ms	x	@	0	(/ (+ (* (exp (* a x)) (* (exp (* a x)) (exp (* a x)))) -1) (+ (+ (* (exp (* a x)) (exp (* a x))) 1) (exp (* a x))))
1.0ms	x	@	-inf	(/ (+ (* (exp (* a x)) (* (exp (* a x)) (exp (* a x)))) -1) (+ (+ (* (exp (* a x)) (exp (* a x))) 1) (exp (* a x))))
1.0ms	a	@	-inf	(/ (+ (* (exp (* a x)) (* (exp (* a x)) (exp (* a x)))) -1) (+ (+ (* (exp (* a x)) (exp (* a x))) 1) (exp (* a x))))

simplify367.0ms (4%)

Memory

2.1MiB live, 441.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 774×	`lower-fma.f64`
12 774×	`lower-fma.f32`
5 304×	`lower-*.f64`
5 304×	`lower-*.f32`
4 592×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	556	5254
1	1873	4972
2	6605	4852
0	8170	4368

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (+ (* 1/8 (pow x 3)) (* a (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4))))))))))))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (* 1/8 (pow a 3))))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (+ (* 1/8 (pow a 3)) (* x (+ (* 1/192 (pow a 4)) (+ (* 1/64 (pow a 4)) (* 1/48 (pow a 4))))))))))))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
2
(+ 2 (* 1/2 (* a x)))
(+ 2 (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x))))
(+ 2 (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2)))))))
(+ 1 (exp (* 1/2 (* a x))))
(+ 1 (exp (* 1/2 (* a x))))
(+ 1 (exp (* 1/2 (* a x))))
(+ 1 (exp (* 1/2 (* a x))))
(+ 1 (exp (* 1/2 (* a x))))
(+ 1 (exp (* 1/2 (* a x))))
(+ 1 (exp (* 1/2 (* a x))))
(+ 1 (exp (* 1/2 (* a x))))
2
(+ 2 (* 1/2 (* a x)))
(+ 2 (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a))))
(+ 2 (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2)))))))
(+ 1 (exp (* 1/2 (* a x))))
(+ 1 (exp (* 1/2 (* a x))))
(+ 1 (exp (* 1/2 (* a x))))
(+ 1 (exp (* 1/2 (* a x))))
(+ 1 (exp (* 1/2 (* a x))))
(+ 1 (exp (* 1/2 (* a x))))
(+ 1 (exp (* 1/2 (* a x))))
(+ 1 (exp (* 1/2 (* a x))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x))))
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2)))))))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a))))
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2)))))))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 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))
(* 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)
(* 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 (* a x))
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (+ (* -1/12 (pow x 2)) (* 1/24 (pow x 2)))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (* a x))
(/ (+ (* -1/2 x) (/ 1 a)) x)
(/ (+ (* x (- (* -1 (* x (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 a) (* 1/6 a)))) (+ (* -1/12 (pow a 2)) (* 1/24 (pow a 2)))))) (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 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))))))))
(- (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))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 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))
-1
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(* (pow a 2) (pow x 2))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
-1
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(* (pow a 2) (pow x 2))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow a 2) (pow x 2))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
3
(+ 3 (* a (+ x (* 2 x))))
(+ 3 (* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))))))
(+ 3 (* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (+ (* 2 (pow x 2)) (* a (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (pow x 3)))))))))))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
3
(+ 3 (* x (+ a (* 2 a))))
(+ 3 (* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))))))
(+ 3 (* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (+ (* 2 (pow a 2)) (* x (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (pow a 3)))))))))))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(* 1/3 (* a (+ x (* 2 x))))
(* a (+ (* 1/3 (+ x (* 2 x))) (* a (- (* 1/3 (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (* 1/9 (pow (+ x (* 2 x)) 2))))))
(* a (+ (* 1/3 (+ x (* 2 x))) (* a (- (+ (* 1/3 (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (* a (- (* 1/3 (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 4 (pow x 3))))) (+ (* 1/9 (* (+ x (* 2 x)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 1/3 (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (* 1/9 (pow (+ x (* 2 x)) 2))))))))) (* 1/9 (pow (+ x (* 2 x)) 2))))))
(* a (+ (* 1/3 (+ x (* 2 x))) (* a (- (+ (* 1/3 (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (* a (- (+ (* 1/3 (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 4 (pow x 3))))) (* a (- (* 1/3 (+ (* 1/24 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (+ (* 2/3 (pow x 4)) (+ (* x (+ (* 1/3 (pow x 3)) (pow x 3))) (pow x 4))))))) (+ (* 1/9 (* (+ x (* 2 x)) (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (pow x 3))))) (+ (* 1/3 (* (+ x (* 2 x)) (- (* 1/3 (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 4 (pow x 3))))) (+ (* 1/9 (* (+ x (* 2 x)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 1/3 (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (* 1/9 (pow (+ x (* 2 x)) 2))))))))) (* 1/3 (* (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) (- (* 1/3 (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (* 1/9 (pow (+ x (* 2 x)) 2)))))))))) (+ (* 1/9 (* (+ x (* 2 x)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 1/3 (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (* 1/9 (pow (+ x (* 2 x)) 2))))))))) (* 1/9 (pow (+ x (* 2 x)) 2))))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(* 1/3 (* x (+ a (* 2 a))))
(* x (+ (* 1/3 (+ a (* 2 a))) (* x (- (* 1/3 (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))) (* 1/9 (pow (+ a (* 2 a)) 2))))))
(* x (+ (* 1/3 (+ a (* 2 a))) (* x (- (+ (* 1/3 (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))) (* x (- (* 1/3 (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (* 4 (pow a 3))))) (+ (* 1/9 (* (+ a (* 2 a)) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 1/3 (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))) (* 1/9 (pow (+ a (* 2 a)) 2))))))))) (* 1/9 (pow (+ a (* 2 a)) 2))))))
(* x (+ (* 1/3 (+ a (* 2 a))) (* x (- (+ (* 1/3 (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))) (* x (- (+ (* 1/3 (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (* 4 (pow a 3))))) (* x (- (* 1/3 (+ (* 1/24 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (pow a 4)) (+ (* 2/3 (pow a 4)) (+ (* a (+ (* 1/3 (pow a 3)) (pow a 3))) (pow a 4))))))) (+ (* 1/9 (* (+ a (* 2 a)) (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (pow a 3))))) (+ (* 1/3 (* (+ a (* 2 a)) (- (* 1/3 (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (* 4 (pow a 3))))) (+ (* 1/9 (* (+ a (* 2 a)) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 1/3 (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))) (* 1/9 (pow (+ a (* 2 a)) 2))))))))) (* 1/3 (* (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) (- (* 1/3 (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))) (* 1/9 (pow (+ a (* 2 a)) 2)))))))))) (+ (* 1/9 (* (+ a (* 2 a)) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 1/3 (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))) (* 1/9 (pow (+ a (* 2 a)) 2))))))))) (* 1/9 (pow (+ a (* 2 a)) 2))))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(* a (+ x (* 2 x)))
(* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))))))
(* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (+ (* 4 (pow x 2)) (* a (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 4 (pow x 3)))))))))))
(* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (+ (* 4 (pow x 2)) (* a (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (+ (* 4 (pow x 3)) (* a (+ (* 1/24 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (+ (* 2/3 (pow x 4)) (+ (* x (+ (* 1/3 (pow x 3)) (pow x 3))) (pow x 4)))))))))))))))))
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(* x (+ a (* 2 a)))
(* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))))))
(* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (+ (* 4 (pow a 2)) (* x (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (* 4 (pow a 3)))))))))))
(* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (+ (* 4 (pow a 2)) (* x (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (+ (* 4 (pow a 3)) (* x (+ (* 1/24 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (pow a 4)) (+ (* 2/3 (pow a 4)) (+ (* a (+ (* 1/3 (pow a 3)) (pow a 3))) (pow a 4)))))))))))))))))
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(* 1/2 (* a x))
(* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x)))
(* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2))))))
(* a (+ (* 1/2 x) (* a (+ (* 1/8 (pow x 2)) (* a (+ (* 1/384 (* a (pow x 4))) (* 1/48 (pow x 3))))))))
(- (exp (* 1/2 (* a x))) 1)
(- (exp (* 1/2 (* a x))) 1)
(- (exp (* 1/2 (* a x))) 1)
(- (exp (* 1/2 (* a x))) 1)
(- (exp (* 1/2 (* a x))) 1)
(- (exp (* 1/2 (* a x))) 1)
(- (exp (* 1/2 (* a x))) 1)
(- (exp (* 1/2 (* a x))) 1)
(* 1/2 (* a x))
(* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2))))))
(* x (+ (* 1/2 a) (* x (+ (* 1/8 (pow a 2)) (* x (+ (* 1/384 (* (pow a 4) x)) (* 1/48 (pow a 3))))))))
(- (exp (* 1/2 (* a x))) 1)
(- (exp (* 1/2 (* a x))) 1)
(- (exp (* 1/2 (* a x))) 1)
(- (exp (* 1/2 (* a x))) 1)
(- (exp (* 1/2 (* a x))) 1)
(- (exp (* 1/2 (* a x))) 1)
(- (exp (* 1/2 (* a x))) 1)
(- (exp (* 1/2 (* a x))) 1)
-1
(- (* -1 (* a x)) 1)
(- (* a (- (* -1 (* a (pow x 2))) x)) 1)
(- (* a (- (* a (- (* -1 (* a (pow x 3))) (pow x 2))) x)) 1)
(/ 1 (* a x))
(/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) a)
(/ (+ (/ 1 x) (+ (/ 1 (* a (pow x 2))) (/ 1 (* (pow a 2) (pow x 3))))) a)
(/ (+ (/ 1 x) (+ (/ 1 (* a (pow x 2))) (+ (/ 1 (* (pow a 2) (pow x 3))) (/ 1 (* (pow a 3) (pow x 4)))))) a)
(/ 1 (* a x))
(/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) a)
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) a)) (/ 1 x)) a))
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (+ (/ 1 (* (pow a 2) (pow x 4))) (/ 1 (pow x 2)))) a)) (/ 1 x)) a))
-1
(- (* -1 (* a x)) 1)
(- (* x (- (* -1 (* (pow a 2) x)) a)) 1)
(- (* x (- (* x (- (* -1 (* (pow a 3) x)) (pow a 2))) a)) 1)
(/ 1 (* a x))
(/ (+ (/ 1 a) (/ 1 (* (pow a 2) x))) x)
(/ (+ (/ 1 a) (+ (/ 1 (* (pow a 2) x)) (/ 1 (* (pow a 3) (pow x 2))))) x)
(/ (+ (/ 1 a) (+ (/ 1 (* (pow a 2) x)) (+ (/ 1 (* (pow a 3) (pow x 2))) (/ 1 (* (pow a 4) (pow x 3)))))) x)
(/ 1 (* a x))
(/ (+ (/ 1 a) (/ 1 (* (pow a 2) x))) x)
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x))
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow a 3) x)) (+ (/ 1 (* (pow a 4) (pow x 2))) (/ 1 (pow a 2)))) x)) (/ 1 a)) x))
1
(+ 1 (* 2 (* a x)))
(+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(+ 1 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 1/3 (pow x 3)) (pow x 3))))))))
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
1
(+ 1 (* 2 (* a x)))
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 1/3 (pow a 3)) (pow a 3))))))))
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))))))))
(.f64 a (fma.f64 a (fma.f64 (.f64 a (.f64 x (.f64 x x))) #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (+ (* 1/8 (pow x 3)) (* a (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4))))))))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) x))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (* 1/8 (pow a 3))))))))
(.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)))) a))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (+ (* 1/8 (pow a 3)) (* x (+ (* 1/192 (pow a 4)) (+ (* 1/64 (pow a 4)) (* 1/48 (pow a 4))))))))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 a (.f64 a (.f64 a #s(literal 1/6 binary64))) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 a a)))))) (.f64 #s(literal 1/2 binary64) (.f64 a a))) a))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(+ 2 (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(+ 2 (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2)))))))
(fma.f64 a (fma.f64 a (fma.f64 (.f64 x (.f64 x x)) (.f64 a #s(literal 1/48 binary64)) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(+ 1 (exp (* 1/2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (exp (* 1/2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (exp (* 1/2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (exp (* 1/2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (exp (* 1/2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (exp (* 1/2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (exp (* 1/2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (exp (* 1/2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(+ 2 (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/8 binary64)) (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a (.f64 a x))))) (.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))
(+ 1 (exp (* 1/2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (exp (* 1/2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (exp (* 1/2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (exp (* 1/2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (exp (* 1/2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (exp (* 1/2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (exp (* 1/2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (exp (* 1/2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2)))))))
(fma.f64 a (fma.f64 a (fma.f64 (.f64 x (.f64 x x)) (.f64 a #s(literal 1/48 binary64)) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(exp (* 1/2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(exp (* 1/2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(exp (* 1/2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(exp (* 1/2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(exp (* 1/2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(exp (* 1/2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(exp (* 1/2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(exp (* 1/2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/8 binary64)) (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a (.f64 a x))))) (.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64))
(exp (* 1/2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(exp (* 1/2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(exp (* 1/2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(exp (* 1/2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(exp (* 1/2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(exp (* 1/2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(exp (* 1/2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(exp (* 1/2 (* a x)))
(exp.f64 (.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)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (fma.f64 (.f64 a (.f64 x (.f64 x x))) #s(literal 1/6 binary64) (.f64 x (.f64 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 a (fma.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (.f64 x #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 #s(literal 1/2 binary64) (*.f64 a a)) 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 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)))) 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 a (.f64 a (.f64 a #s(literal 1/6 binary64))) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 a a)))))) (.f64 #s(literal 1/2 binary64) (.f64 a a))) 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)
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(.f64 x (fma.f64 x (.f64 (.f64 a a) #s(literal 9/2 binary64)) (.f64 a #s(literal 3 binary64))))
(* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (+ (* 4 (pow a 2)) (* x (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (* 4 (pow a 3)))))))))))
(.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 9/2 binary64)) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 9/2 binary64)))) (*.f64 a #s(literal 3 binary64))))
(* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (+ (* 4 (pow a 2)) (* x (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (+ (* 4 (pow a 3)) (* x (+ (* 1/24 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (pow a 4)) (+ (* 2/3 (pow a 4)) (+ (* a (+ (* 1/3 (pow a 3)) (pow a 3))) (pow a 4)))))))))))))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 (.f64 a (.f64 a a)) #s(literal 9/2 binary64) (.f64 x (fma.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1/8 binary64) (fma.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 11/12 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (.f64 a a)))))))) (.f64 (.f64 a a) #s(literal 9/2 binary64))) (*.f64 a #s(literal 3 binary64))))
(- (pow (exp (* a x)) 3) 1)
(expm1.f64 (fma.f64 a x (fma.f64 a x (*.f64 a x))))
(- (pow (exp (* a x)) 3) 1)
(expm1.f64 (fma.f64 a x (fma.f64 a x (*.f64 a x))))
(- (pow (exp (* a x)) 3) 1)
(expm1.f64 (fma.f64 a x (fma.f64 a x (*.f64 a x))))
(- (pow (exp (* a x)) 3) 1)
(expm1.f64 (fma.f64 a x (fma.f64 a x (*.f64 a x))))
(- (pow (exp (* a x)) 3) 1)
(expm1.f64 (fma.f64 a x (fma.f64 a x (*.f64 a x))))
(- (pow (exp (* a x)) 3) 1)
(expm1.f64 (fma.f64 a x (fma.f64 a x (*.f64 a x))))
(- (pow (exp (* a x)) 3) 1)
(expm1.f64 (fma.f64 a x (fma.f64 a x (*.f64 a x))))
(- (pow (exp (* a x)) 3) 1)
(expm1.f64 (fma.f64 a x (fma.f64 a x (*.f64 a x))))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x)))
(.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 x #s(literal 1/2 binary64))))
(* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2))))))
(.f64 a (fma.f64 a (fma.f64 (.f64 x (.f64 x x)) (.f64 a #s(literal 1/48 binary64)) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(* a (+ (* 1/2 x) (* a (+ (* 1/8 (pow x 2)) (* a (+ (* 1/384 (* a (pow x 4))) (* 1/48 (pow x 3))))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 x (.f64 (.f64 x x) #s(literal 1/48 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 a #s(literal 1/384 binary64)))) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(- (exp (* 1/2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(- (exp (* 1/2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(- (exp (* 1/2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(- (exp (* 1/2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(- (exp (* 1/2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(- (exp (* 1/2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(- (exp (* 1/2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(- (exp (* 1/2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a)))
(.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 x #s(literal 1/2 binary64))))
(* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/8 binary64)) (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a (.f64 a x))))) (*.f64 a #s(literal 1/2 binary64))))
(* x (+ (* 1/2 a) (* x (+ (* 1/8 (pow a 2)) (* x (+ (* 1/384 (* (pow a 4) x)) (* 1/48 (pow a 3))))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 (.f64 x (.f64 a (.f64 a (.f64 a a)))) #s(literal 1/384 binary64) (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a)))) (.f64 a (.f64 a #s(literal 1/8 binary64)))) (*.f64 a #s(literal 1/2 binary64))))
(- (exp (* 1/2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(- (exp (* 1/2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(- (exp (* 1/2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(- (exp (* 1/2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(- (exp (* 1/2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(- (exp (* 1/2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(- (exp (* 1/2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(- (exp (* 1/2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
-1
#s(literal -1 binary64)
(- (* -1 (* a x)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 a x))
(- (* a (- (* -1 (* a (pow x 2))) x)) 1)
(fma.f64 a (neg.f64 (fma.f64 a (*.f64 x x) x)) #s(literal -1 binary64))
(- (* a (- (* a (- (* -1 (* a (pow x 3))) (pow x 2))) x)) 1)
(fma.f64 a (-.f64 (neg.f64 (.f64 (fma.f64 a (.f64 x (.f64 x x)) (.f64 x x)) a)) x) #s(literal -1 binary64))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) a)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 x x)))) a)
(/ (+ (/ 1 x) (+ (/ 1 (* a (pow x 2))) (/ 1 (* (pow a 2) (pow x 3))))) a)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) a)
(/ (+ (/ 1 x) (+ (/ 1 (* a (pow x 2))) (+ (/ 1 (* (pow a 2) (pow x 3))) (/ 1 (* (pow a 3) (pow x 4)))))) a)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a (.f64 x (.f64 x (.f64 x x))))))))) a)
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) a)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 x x)))) a)
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) a)) (/ 1 x)) a))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 x (.f64 x x))))) a) (/.f64 #s(literal 1 binary64) x)) a)
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (+ (/ 1 (* (pow a 2) (pow x 4))) (/ 1 (pow x 2)))) a)) (/ 1 x)) a))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 x (.f64 x (*.f64 x x)))))))) a) (/.f64 #s(literal 1 binary64) x)) a)
-1
#s(literal -1 binary64)
(- (* -1 (* a x)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 a x))
(- (* x (- (* -1 (* (pow a 2) x)) a)) 1)
(fma.f64 a (neg.f64 (fma.f64 a (*.f64 x x) x)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 (* (pow a 3) x)) (pow a 2))) a)) 1)
(fma.f64 x (-.f64 (neg.f64 (.f64 (fma.f64 a (.f64 a (.f64 a x)) (.f64 a a)) x)) a) #s(literal -1 binary64))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ (+ (/ 1 a) (/ 1 (* (pow a 2) x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a x)))) x)
(/ (+ (/ 1 a) (+ (/ 1 (* (pow a 2) x)) (/ 1 (* (pow a 3) (pow x 2))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 a (.f64 a (.f64 a x))))))) x)
(/ (+ (/ 1 a) (+ (/ 1 (* (pow a 2) x)) (+ (/ 1 (* (pow a 3) (pow x 2))) (/ 1 (* (pow a 4) (pow x 3)))))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a x)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 a (.f64 a (.f64 a x))))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 a (.f64 a (.f64 a a))))))))) x)
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ (+ (/ 1 a) (/ 1 (* (pow a 2) x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a x)))) x)
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a x))))) x) (/.f64 #s(literal 1 binary64) a)) x)
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow a 3) x)) (+ (/ 1 (* (pow a 4) (pow x 2))) (/ 1 (pow a 2)))) x)) (/ 1 a)) x))
(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a x))))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 a (.f64 a (*.f64 a a))))))) x) (/.f64 #s(literal 1 binary64) a)) x)
1
#s(literal 1 binary64)
(+ 1 (* 2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(fma.f64 (.f64 x #s(literal 2 binary64)) (fma.f64 a (.f64 a x) a) #s(literal 1 binary64))
(+ 1 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 1/3 (pow x 3)) (pow x 3))))))))
(fma.f64 a (fma.f64 a (fma.f64 a (.f64 (.f64 x (.f64 x x)) #s(literal 4/3 binary64)) (.f64 x (.f64 x #s(literal 2 binary64)))) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow (exp (* a x)) 2)
(exp.f64 (fma.f64 a x (*.f64 a x)))
(pow (exp (* a x)) 2)
(exp.f64 (fma.f64 a x (*.f64 a x)))
(pow (exp (* a x)) 2)
(exp.f64 (fma.f64 a x (*.f64 a x)))
(pow (exp (* a x)) 2)
(exp.f64 (fma.f64 a x (*.f64 a x)))
(pow (exp (* a x)) 2)
(exp.f64 (fma.f64 a x (*.f64 a x)))
(pow (exp (* a x)) 2)
(exp.f64 (fma.f64 a x (*.f64 a x)))
(pow (exp (* a x)) 2)
(exp.f64 (fma.f64 a x (*.f64 a x)))
(pow (exp (* a x)) 2)
(exp.f64 (fma.f64 a x (*.f64 a x)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(fma.f64 (.f64 x #s(literal 2 binary64)) (fma.f64 a (.f64 a x) a) #s(literal 1 binary64))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 1/3 (pow a 3)) (pow a 3))))))))
(fma.f64 x (fma.f64 x (fma.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 4/3 binary64)) (.f64 a (.f64 a #s(literal 2 binary64)))) (.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))
(pow (exp (* a x)) 2)
(exp.f64 (fma.f64 a x (*.f64 a x)))
(pow (exp (* a x)) 2)
(exp.f64 (fma.f64 a x (*.f64 a x)))
(pow (exp (* a x)) 2)
(exp.f64 (fma.f64 a x (*.f64 a x)))
(pow (exp (* a x)) 2)
(exp.f64 (fma.f64 a x (*.f64 a x)))
(pow (exp (* a x)) 2)
(exp.f64 (fma.f64 a x (*.f64 a x)))
(pow (exp (* a x)) 2)
(exp.f64 (fma.f64 a x (*.f64 a x)))
(pow (exp (* a x)) 2)
(exp.f64 (fma.f64 a x (*.f64 a x)))
(pow (exp (* a x)) 2)
(exp.f64 (fma.f64 a x (*.f64 a x)))

rewrite475.0ms (5.1%)

Memory

38.6MiB live, 620.4MiB allocated

Rules

4 826×	`lower-fma.f32`
4 816×	`lower-fma.f64`
4 752×	`lower-/.f32`
4 744×	`lower-/.f64`
4 040×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	312
0	55	200
1	224	187
2	1718	181
0	8586	177

Stop Event

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

Counts

20 → 1 475

Calls

Call 1

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

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

eval350.0ms (3.8%)

Memory: 29.9MiB live, 483.2MiB allocated
Compiler: Compiled 91 972 to 4 187 computations (95.4% saved)

prune274.0ms (3%)

Memory

10.2MiB live, 439.8MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	2 291	8	2 299
Fresh	9	4	13
Picked	4	1	5
Done	0	4	4
Total	2 304	17	2 321

Accuracy

100.0%

Counts

2 321 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 x (fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x)))
	72.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)) x)))
	68.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a (fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) a)))
▶	72.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)))
	21.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	22.0%	(-.f64 #s(approx (exp (* a x)) (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))) #s(literal 1 binary64))
✓	22.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
	7.7%	(-.f64 #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) (.f64 x (.f64 x (fma.f64 a a (/.f64 #s(literal -1 binary64) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
▶	52.0%	(-.f64 #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
	5.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* a (* 1/2 (* x x))) x)) 1) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))))) #s(literal 1 binary64))
✓	20.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	63.7%	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)))) a)))
▶	66.7%	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)))
▶	67.2%	#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)))
	66.4%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 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)))) x)))
✓	69.0%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 464 to 264 computations (43.1% saved)

simplify407.0ms (4.4%)

Memory

-26.2MiB live, 387.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (.f64 (.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) a)
cost-diff	0	(.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)))) a))
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)))) a)))
cost-diff	640	(fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (.f64 (.f64 a (*.f64 a a)) #s(literal 1/6 binary64))))
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	#s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64))
cost-diff	0	#s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
cost-diff	320	(.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 a a))
cost-diff	0	(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a)) a)
cost-diff	0	(.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a))
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)))
cost-diff	0	(fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)
cost-diff	0	#s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)))

Rules

16 674×	`lower-fma.f32`
16 660×	`lower-fma.f64`
3 906×	`lower-*.f32`
3 880×	`lower-*.f64`
2 918×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	380
0	77	354
1	169	348
2	349	344
3	769	344
4	1005	344
5	1137	344
6	1264	344
7	1652	344
8	4980	344
9	7096	344
0	8073	330

Stop Event

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

Calls

Call 1

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

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

localize248.0ms (2.7%)

Memory

9.3MiB live, 162.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.6778557804220369	(.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)))) a))
accuracy	2.691098316049966	(fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (.f64 (.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) a)
accuracy	4.84750394266712	(.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)))
accuracy	19.32642898705059	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)))) a)))
accuracy	0.3515625	(*.f64 x #s(literal 1/6 binary64))
accuracy	0.49250340018266814	(.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	5.744954252134385	(.f64 a (.f64 x x))
accuracy	19.32642898705059	#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	11.107814418800034	(.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))
accuracy	19.82954112944966	#s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))))
accuracy	20.128378607918783	#s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64))
accuracy	30.093954113609662	(-.f64 #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
accuracy	0	(.f64 #s(literal 1/2 binary64) (.f64 a a))
accuracy	0.4959676936909927	(.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a))
accuracy	4.579980161615373	(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a)) a)
accuracy	20.063629224345917	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)))
accuracy	0.02734375	(fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy	0.13671875	(/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)
accuracy	0.8377819312044065	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)))
accuracy	16.50578288270851	#s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a))

Samples

62.0ms	83×	2	valid
43.0ms	86×	1	valid
28.0ms	87×	0	valid

Compiler

Compiled 292 to 46 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-mult: 32.0ms (32.5% of total)

ival-exp: 19.0ms (19.3% of total)

adjust: 16.0ms (16.2% of total)

ival-add: 13.0ms (13.2% of total)

ival-div: 12.0ms (12.2% of total)

const: 4.0ms (4.1% of total)

ival-expm1: 2.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series81.0ms (0.9%)

Memory

10.3MiB live, 47.0MiB allocated

Counts

22 → 504

Calls

Call 1

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

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

Calls

126 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(* x (+ (* x (* 1/2 (* a a))) a))
1.0ms	a	@	0	(/ (+ (* a -1/2) (/ 1 x)) a)
1.0ms	a	@	inf	(/ (+ (* a -1/2) (/ 1 x)) a)
0.0ms	x	@	0	(+ (* a (* a 1/2)) (* x (* (* a (* a a)) 1/6)))
0.0ms	x	@	-inf	(* x (+ (* x (* 1/2 (* a a))) a))

simplify901.0ms (9.7%)

Memory

5.5MiB live, 780.3MiB allocated

Algorithm

1×	egg-herbie

Rules

22 084×	`lower-fma.f64`
22 084×	`lower-fma.f32`
6 354×	`lower-*.f64`
6 354×	`lower-*.f32`
3 640×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	288	4710
1	959	4628
2	3281	4528
0	8452	4034

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 498

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

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

rewrite372.0ms (4%)

Memory

3.8MiB live, 475.3MiB allocated

Rules

7 120×	`lower-fma.f32`
7 106×	`lower-fma.f64`
4 522×	`lower-*.f32`
4 496×	`lower-*.f64`
3 478×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	318
0	77	286
1	329	286
2	2270	286
0	8736	276

Stop Event

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

Counts

22 → 459

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 #s(approx (/ 1 (+ (exp ( a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a))))))
(pow.f64 #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 #s(approx (/ 1 (+ (exp ( a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp ( a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (exp ( a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp ( a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a))) #s(literal 1 binary64))
(.f64 (pow.f64 #s(approx (/ 1 (+ (exp ( a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (/ 1 (+ (exp ( a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)))))
(/.f64 #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)))) #s(literal 1 binary64))
#s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a))
(pow.f64 #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a))) #s(literal -1 binary64))
(.f64 #s(approx (/ 1 (+ (exp ( a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 a (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) a) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) a))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 a)))
(-.f64 (/.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 a (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(neg.f64 (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 a)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)
(/.f64 (neg.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (neg.f64 a))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 a (fma.f64 (.f64 a a) #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 a #s(literal -1/2 binary64))) x))))
(/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 a a) #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 a #s(literal -1/2 binary64))) x)) a))
(/.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) a))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (.f64 a (fma.f64 (.f64 a a) #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 a #s(literal -1/2 binary64))) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) a)
(/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) a)) (fma.f64 (.f64 a a) #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 a #s(literal -1/2 binary64))) x)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) a)) (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 a #s(literal -1/2 binary64))) x)) a)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) a)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) a))) (neg.f64 (fma.f64 (.f64 a a) #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 a #s(literal -1/2 binary64))) x))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) a))) (neg.f64 (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 a (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 a (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a))
(*.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) a))
(.f64 (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a) (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 a (fma.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 a #s(literal -1/2 binary64))) x))))
(.f64 (pow.f64 (/.f64 a (-.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (fma.f64 (.f64 a a) #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 a #s(literal -1/2 binary64))) x)) a) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 a a) #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 a #s(literal -1/2 binary64))) x))))
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(/.f64 (fma.f64 (.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a)))) (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))) (.f64 a (.f64 a a))) (fma.f64 a (-.f64 a (.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))) (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a)))))))
(/.f64 (fma.f64 (.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a)))) (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))) (.f64 a (.f64 a a))) (fma.f64 a a (-.f64 (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))) (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (*.f64 a x)))))
(/.f64 (.f64 (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) a) (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (neg.f64 a))) (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (neg.f64 a)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a)))) (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))) (.f64 a (.f64 a a)))) (neg.f64 (fma.f64 a (-.f64 a (.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))) (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a)))) (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))) (.f64 a (.f64 a a)))) (neg.f64 (fma.f64 a a (-.f64 (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))) (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (*.f64 a x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) a) (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (neg.f64 a)))) (neg.f64 (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (neg.f64 a))))
(/.f64 (-.f64 (.f64 a a) (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a)))))) (-.f64 a (.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))) (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (neg.f64 a))) (.f64 (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (neg.f64 a)) (.f64 a a))) (.f64 (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (neg.f64 a)) (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (*.f64 a a))) (neg.f64 a))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a)))) (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))) (.f64 a (.f64 a a))))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a (.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))) (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a)))))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) a) (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (neg.f64 a))))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (neg.f64 a)))))
(/.f64 (neg.f64 (-.f64 (.f64 a a) (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))) (neg.f64 (-.f64 a (.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x) a) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 a (.f64 a a))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x) a) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x) a) (-.f64 (.f64 (.f64 (.f64 (.f64 a (.f64 a x)) a) (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 a (.f64 a x)) a) (.f64 x #s(literal 1/6 binary64)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x) a) (.f64 (.f64 (.f64 a (.f64 a x)) a) (.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (pow.f64 (fma.f64 (.f64 (.f64 a (.f64 a x)) a) (.f64 x #s(literal 1/6 binary64)) a) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a))) (-.f64 (.f64 (fma.f64 (.f64 (.f64 a (.f64 a x)) a) (.f64 x #s(literal 1/6 binary64)) a) (fma.f64 (.f64 (.f64 a (.f64 a x)) a) (.f64 x #s(literal 1/6 binary64)) a)) (.f64 (.f64 (.f64 a (.f64 a x)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 a (.f64 a x)) a) (.f64 x #s(literal 1/6 binary64)) a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))) (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (neg.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 a a) (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (neg.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))) (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (neg.f64 a))) (/.f64 (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))) (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (neg.f64 a))) (fma.f64 (/.f64 (.f64 a a) (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (neg.f64 a))) (/.f64 (.f64 a a) (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (neg.f64 a))) (.f64 (/.f64 (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))) (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (neg.f64 a))) (/.f64 (.f64 a a) (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (*.f64 a a))) (neg.f64 a)))))))
(pow.f64 (/.f64 (fma.f64 a (-.f64 a (.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))) (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a)))))) (fma.f64 (.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a)))) (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))) (.f64 a (.f64 a a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (neg.f64 a)) (.f64 (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) a) (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (neg.f64 a)))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a)))) (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))))) (.f64 (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (*.f64 a a))))))))
(.f64 (.f64 (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) a) (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (neg.f64 a))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/2 binary64) (*.f64 a a))) (neg.f64 a))))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(.f64 a (.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x))
(.f64 x (.f64 a (.f64 a (.f64 a #s(literal 1/6 binary64)))))
(.f64 (.f64 a x) (.f64 a (.f64 a #s(literal 1/6 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 (.f64 a (.f64 a x)) a))
(.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 a (.f64 a a)))
(.f64 (.f64 a (.f64 a a)) (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 a (.f64 a (.f64 a #s(literal 1/6 binary64)))) x)
(.f64 (.f64 (.f64 a (.f64 a x)) a) #s(literal 1/6 binary64))

eval170.0ms (1.8%)

Memory: 23.1MiB live, 227.2MiB allocated
Compiler: Compiled 26 421 to 1 704 computations (93.6% saved)

prune180.0ms (1.9%)

Memory

-36.7MiB live, 246.2MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	949	8	957
Fresh	2	5	7
Picked	5	0	5
Done	0	5	5
Total	956	18	974

Accuracy

100.0%

Counts

974 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.0%	(/.f64 (fma.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64)))
	68.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 x (fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x)))
	68.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a (fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) a)))
	73.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) #s(approx (/ (+ (* a -1/2) (/ 1 x)) a) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1/2 binary64)))))
	8.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) #s(approx (/ (+ (* a -1/2) (/ 1 x)) a) #s(literal -1/2 binary64))))
	21.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	22.0%	(-.f64 #s(approx (exp (* a x)) (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))) #s(literal 1 binary64))
✓	22.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
	52.0%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
	7.7%	(-.f64 #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) (.f64 (.f64 (fma.f64 a a (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
	5.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* a (* 1/2 (* x x))) x)) 1) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))))) #s(literal 1 binary64))
✓	20.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 a x))
	68.6%	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 x (fma.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) a) a a)))
	67.7%	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 x (fma.f64 x #s(approx (+ ( a (* a 1/2)) (* x (* (* a (* a a)) 1/6))) (.f64 (.f64 a a) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a)))
	69.8%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a x)) x x)))
	66.4%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 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)))) x)))
✓	69.0%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 963 to 313 computations (67.5% saved)

regimes64.0ms (0.7%)

Memory

11.0MiB live, 86.2MiB allocated

Counts

42 → 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))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) #s(approx (/ (+ (* a -1/2) (/ 1 x)) a) #s(literal -1/2 binary64))))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 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 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)))
#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 x (fma.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) a) a a)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* a (* 1/2 (* x x))) x)) 1) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) #s(approx (/ (+ (* a -1/2) (/ 1 x)) a) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
#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 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a x)) x x)))
#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 x (fma.f64 x #s(approx (+ ( a (* a 1/2)) (* x (* (* a (* a a)) 1/6))) (.f64 (.f64 a a) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a)))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a x) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (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))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))
(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (*.f64 a x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)))) a)))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 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)))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 a (fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 x (fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x)))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 a x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a x)))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) (.f64 x (.f64 x (fma.f64 a a (/.f64 #s(literal -1 binary64) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) (.f64 (.f64 (fma.f64 a a (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 a x) a) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64)) (+.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))
(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 a x) (.f64 a x)) (*.f64 a x)))))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (/.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 a x))) (fma.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(.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 (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 (.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))))

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

Calls

5 calls:

16.0ms	a
13.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
12.0ms	x
11.0ms	(*.f64 a x)
9.0ms	(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)

regimes54.0ms (0.6%)

Memory

31.6MiB live, 69.2MiB allocated

Counts

37 → 2

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

Outputs

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

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

Calls

5 calls:

13.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
11.0ms	x
10.0ms	a
10.0ms	(*.f64 a x)
8.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
85.0%	2	`a`
81.0%	2	`x`
99.4%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
99.4%	2	`(exp.f64 (*.f64 a x))`
99.4%	2	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes32.0ms (0.3%)

Memory

-3.4MiB live, 41.5MiB allocated

Counts

34 → 2

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

Outputs

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

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

Calls

3 calls:

14.0ms	(*.f64 a x)
8.0ms	(exp.f64 (*.f64 a x))
8.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.4%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
99.4%	2	`(exp.f64 (*.f64 a x))`
99.4%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes19.0ms (0.2%)

Memory

-15.1MiB live, 22.9MiB allocated

Counts

16 → 2

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.2%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
99.2%	2	`(exp.f64 (*.f64 a x))`
99.2%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes9.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

8 → 2

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.2%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
98.2%	2	`(exp.f64 (*.f64 a x))`
98.2%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes17.0ms (0.2%)

Memory

-18.5MiB live, 19.3MiB allocated

Counts

4 → 2

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

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

Calls

5 calls:

9.0ms	(*.f64 a x)
2.0ms	x
2.0ms	a
2.0ms	(exp.f64 (*.f64 a x))
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
69.0%	1	`x`
69.0%	1	`a`
73.2%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
73.2%	2	`(exp.f64 (*.f64 a x))`
73.2%	2	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes5.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

3 → 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))

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

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

Calls

3 calls:

2.0ms	(*.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
69.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
69.0%	1	`(exp.f64 (*.f64 a x))`
69.0%	1	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB 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
20.4%	1	`a`
20.4%	1	`x`
20.4%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
20.4%	1	`(exp.f64 (*.f64 a x))`
20.4%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-29769763508426.3	-1.557127663411826e-6

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-29769763508426.3	-1.557127663411826e-6

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-29769763508426.3	-1.557127663411826e-6

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.792424031555972e-9	-1.9848665780878066e-9

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-29769763508426.3	-1.557127663411826e-6

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify12.0ms (0.1%)

Memory

-23.3MiB live, 15.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	296
1	70	296
2	77	296
3	85	296
4	86	296

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -20000000000000 binary64)) (/.f64 (fma.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a x)) x x))))
(if (<=.f64 (.f64 a x) #s(literal -20000000000000 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a x)) x x))))
(if (<=.f64 (.f64 a x) #s(literal -20000000000000 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 x (fma.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) a) a a))))
(if (<=.f64 (.f64 a x) #s(literal -3022314549036573/604462909807314587353088 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a x)))
(if (<=.f64 (.f64 a x) #s(literal -20000000000000 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp ( a x)) -1)) #s(approx (/ (+ (* a -1/2) (/ 1 x)) a) #s(literal -1/2 binary64)))) #s(approx (- (exp (* a x)) 1) (*.f64 a 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))
(if (<=.f64 (.f64 a x) #s(literal -20000000000000 binary64)) (/.f64 (fma.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a x)) x x))))
(if (<=.f64 (.f64 a x) #s(literal -20000000000000 binary64)) (/.f64 (fma.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x))))
(if (<=.f64 (.f64 a x) #s(literal -20000000000000 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a x)) x x))))
(if (<=.f64 (.f64 a x) #s(literal -20000000000000 binary64)) (+.f64 #s(literal -1 binary64) #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x))))
(if (<=.f64 (.f64 a x) #s(literal -20000000000000 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 x (fma.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) a) a a))))
(if (<=.f64 (.f64 a x) #s(literal -20000000000000 binary64)) (+.f64 #s(literal -1 binary64) #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 x (fma.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64))) a a))))
(if (<=.f64 (.f64 a x) #s(literal -3022314549036573/604462909807314587353088 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a x)))
(if (<=.f64 (.f64 a x) #s(literal -3022314549036573/604462909807314587353088 binary64)) (+.f64 #s(literal -1 binary64) #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(approx (- (exp (* a x)) 1) (*.f64 a x)))
(if (<=.f64 (.f64 a x) #s(literal -20000000000000 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp ( a x)) -1)) #s(approx (/ (+ (* a -1/2) (/ 1 x)) a) #s(literal -1/2 binary64)))) #s(approx (- (exp (* a x)) 1) (*.f64 a 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(literal -1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))

soundness1.7s (18%)

Memory

5.6MiB live, 923.7MiB allocated

Rules

22 084×	`lower-fma.f64`
22 084×	`lower-fma.f32`
12 774×	`lower-fma.f64`
12 774×	`lower-fma.f32`
8 560×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	288	4710
1	959	4628
2	3281	4528
0	8452	4034
0	46	318
0	77	286
1	329	286
2	2270	286
0	8736	276
0	27	176
0	49	176
1	219	176
2	1715	176
0	8262	176
0	556	5254
1	1873	4972
2	6605	4852
0	8170	4368
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
0	6	13
0	9	13
1	30	13
2	152	13
0	1346	11

Stop Event

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

Compiler

Compiled 506 to 234 computations (53.8% saved)

preprocess83.0ms (0.9%)

Memory: 16.2MiB live, 138.9MiB allocated
Remove: (sort a x)
Compiler: Compiled 370 to 106 computations (71.4% 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%)

analyze17.0ms (0.2%)

sample811.0ms (8.7%)

explain76.0ms (0.8%)

preprocess20.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize24.0ms (0.3%)

series4.0ms (0%)

simplify333.0ms (3.6%)

rewrite89.0ms (1%)

eval39.0ms (0.4%)

prune27.0ms (0.3%)

simplify68.0ms (0.7%)

localize117.0ms (1.3%)

series25.0ms (0.3%)

simplify461.0ms (5%)

rewrite363.0ms (3.9%)

eval112.0ms (1.2%)

prune192.0ms (2.1%)

simplify483.0ms (5.2%)

localize165.0ms (1.8%)

series50.0ms (0.5%)

simplify367.0ms (4%)

rewrite475.0ms (5.1%)

eval350.0ms (3.8%)

prune274.0ms (3%)

simplify407.0ms (4.4%)

localize248.0ms (2.7%)

series81.0ms (0.9%)

simplify901.0ms (9.7%)

rewrite372.0ms (4%)

eval170.0ms (1.8%)

prune180.0ms (1.9%)

regimes64.0ms (0.7%)

regimes54.0ms (0.6%)

regimes32.0ms (0.3%)

regimes19.0ms (0.2%)

regimes9.0ms (0.1%)

regimes17.0ms (0.2%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.7s (18%)

preprocess83.0ms (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