Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze16.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB 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)

sample1.2s (13.8%)

Memory

-84.5MiB live, 411.0MiB allocated

Samples

931.0ms	8 256×	0	valid
28.0ms	303×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-mult: 81.0ms (50.9% of total)

ival-expm1: 49.0ms (30.8% of total)

ival->: 20.0ms (12.6% of total)

exact: 7.0ms (4.4% of total)

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

Bogosity

explain76.0ms (0.9%)

Memory

16.9MiB live, 63.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
111	-	-	`(-.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	111	0

Confusion

	Predicted +	Predicted -
+	111	0
-	0	145

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	111	0	0
-	0	1	144

Precision?

0.9910714285714286

Recall?

1.0

Freqs

test

number	freq
0	145
1	111

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

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

ival-mult: 4.0ms (36.8% of total)

ival-exp: 3.0ms (27.6% of total)

ival-expm1: 3.0ms (27.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess42.0ms (0.5%)

Memory

-19.3MiB live, 26.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.8%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0%)

Memory

4.7MiB live, 4.7MiB 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)

localize17.0ms (0.2%)

Memory

25.3MiB live, 25.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a x)
accuracy	0.010097509768442016	(exp.f64 (*.f64 a x))
accuracy	25.04449225643097	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 2.0ms (37% of total)

ival-mult: 2.0ms (37% of total)

ival-expm1: 2.0ms (37% 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

6.2MiB live, 6.2MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

18 calls:

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

simplify285.0ms (3.4%)

Memory

-22.1MiB live, 118.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

rewrite84.0ms (1%)

Memory

15.0MiB live, 60.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 111

Calls

Call 1

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

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

eval65.0ms (0.8%)

Memory: -8.4MiB live, 37.1MiB allocated
Compiler: Compiled 3 258 to 325 computations (90% saved)

prune94.0ms (1.1%)

Memory

-1.5MiB live, 51.6MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	174	9	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	175	9	184

Accuracy

100.0%

Counts

184 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
▶	60.8%	(-.f64 (pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
▶	21.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	19.9%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 a x))
▶	57.4%	#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)))
	56.4%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)))
	56.3%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
	60.4%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 216 to 132 computations (38.9% saved)

simplify352.0ms (4.1%)

Memory

15.2MiB live, 300.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
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	192	(-.f64 (pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff	6784	(pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 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	(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

15 782×	`lower-fma.f32`
15 776×	`lower-fma.f64`
3 918×	`lower-*.f32`
3 904×	`lower-*.f64`
2 576×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	157
0	46	147
1	85	147
2	200	146
3	543	146
4	922	146
5	1540	146
6	3447	146
7	4195	146
8	4797	146
9	6374	146
0	8049	146

Stop Event

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

Calls

Call 1

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

localize119.0ms (1.4%)

Memory

-13.5MiB live, 176.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 a (.f64 x #s(literal 1/2 binary64)))
accuracy	0.00390625	(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
accuracy	0.01953125	(pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
accuracy	25.04449225643097	(-.f64 (pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy	0.359375	(*.f64 x #s(literal 1/6 binary64))
accuracy	0.7451095640468268	(.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	5.954436786046526	(.f64 a (.f64 x x))
accuracy	25.310272716944368	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
accuracy	0	(fma.f64 a x #s(literal 1 binary64))
accuracy	25.04449225643097	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	25.79741196306911	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
accuracy	25.04449225643097	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	25.840191549097078	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	0	(*.f64 a x)
accuracy	0.021816259768442016	(expm1.f64 (*.f64 a x))

Samples

51.0ms	81×	2	valid
20.0ms	66×	1	valid
18.0ms	109×	0	valid

Compiler

Compiled 139 to 25 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-exp: 22.0ms (34.5% of total)

ival-mult: 15.0ms (23.6% of total)

adjust: 8.0ms (12.6% of total)

ival-pow2: 4.0ms (6.3% of total)

const: 4.0ms (6.3% of total)

ival-add: 4.0ms (6.3% of total)

ival-expm1: 4.0ms (6.3% of total)

ival-sub: 2.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory

-2.7MiB live, 43.4MiB allocated

Counts

16 → 372

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

Calls

93 calls:

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

simplify507.0ms (6%)

Memory

32.0MiB live, 491.4MiB allocated

Algorithm

1×	egg-herbie

Rules

23 742×	`lower-fma.f64`
23 742×	`lower-fma.f32`
5 592×	`lower-*.f64`
5 592×	`lower-*.f32`
3 896×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	236	2908
1	794	2898
2	2703	2796
3	6062	2778
0	8469	2432

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 370

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)
(* 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
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3)))))))))
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (* 1/8 (pow a 3)))))))))
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(* 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))))))))))))
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(- (pow (exp (* 1/2 (* a x))) 2) 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))))))))))))
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(- (pow (exp (* 1/2 (* a x))) 2) 1)
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))
(* 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)

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 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 a (.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) 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 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 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 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (fma.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a a)) (.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 a #s(literal 4 binary64))))))) a))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (fma.f64 a (.f64 #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 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 a (.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) 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))
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1
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1
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1
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1
#s(literal 1 binary64)
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(.f64 x (fma.f64 (.f64 x x) (*.f64 a (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) (*.f64 a (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(* 1/6 (* (pow a 2) (pow x 3)))
(.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(.f64 (.f64 x x) (fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a a)) (.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(.f64 (neg.f64 (.f64 x x)) (fma.f64 x (.f64 (.f64 a a) #s(literal -1/6 binary64)) (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(.f64 (neg.f64 (.f64 x x)) (fma.f64 x (.f64 (.f64 a a) #s(literal -1/6 binary64)) (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) 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
#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 (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3)))))))))
(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))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (*.f64 a x))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (*.f64 a x))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (*.f64 a x))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (*.f64 a x))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (*.f64 a x))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (*.f64 a x))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (*.f64 a x))
(pow (exp (* 1/2 (* a x))) 2)
(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 (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (* 1/8 (pow a 3)))))))))
(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))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (*.f64 a x))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (*.f64 a x))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (*.f64 a x))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (*.f64 a x))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (*.f64 a x))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (*.f64 a x))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (*.f64 a x))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (*.f64 a x))
(* 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 (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))))))))
(.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 (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 (.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x))
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(expm1.f64 (*.f64 a x))
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(expm1.f64 (*.f64 a x))
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(expm1.f64 (*.f64 a x))
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(expm1.f64 (*.f64 a x))
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(expm1.f64 (*.f64 a x))
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(expm1.f64 (*.f64 a x))
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(expm1.f64 (*.f64 a x))
(- (pow (exp (* 1/2 (* a x))) 2) 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 (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (* 1/8 (pow a 3))))))))
(.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 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 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (fma.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a a)) (.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 a #s(literal 4 binary64))))))) a))
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(expm1.f64 (*.f64 a x))
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(expm1.f64 (*.f64 a x))
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(expm1.f64 (*.f64 a x))
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(expm1.f64 (*.f64 a x))
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(expm1.f64 (*.f64 a x))
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(expm1.f64 (*.f64 a x))
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(expm1.f64 (*.f64 a x))
(- (pow (exp (* 1/2 (* a x))) 2) 1)
(expm1.f64 (*.f64 a x))
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 (.f64 x (fma.f64 (.f64 a #s(literal 1/8 binary64)) 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 (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/48 binary64)) 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 (.f64 x (fma.f64 (.f64 a #s(literal 1/8 binary64)) 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 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/48 binary64)) (.f64 a (.f64 a #s(literal 1/8 binary64)))) (.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)))
(* 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))

rewrite432.0ms (5.1%)

Memory

-3.8MiB live, 327.9MiB allocated

Rules

7 122×	`lower-fma.f32`
7 116×	`lower-fma.f64`
4 664×	`lower-*.f32`
4 650×	`lower-*.f64`
3 456×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	130
0	46	120
1	172	120
2	1255	119
0	8173	119

Stop Event

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

Counts

16 → 570

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

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

eval109.0ms (1.3%)

Memory: 9.2MiB live, 188.9MiB allocated
Compiler: Compiled 20 426 to 1 581 computations (92.3% saved)

prune158.0ms (1.9%)

Memory

-15.0MiB live, 228.4MiB allocated

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	922	18	940
Fresh	2	2	4
Picked	2	3	5
Done	0	0	0
Total	926	23	949

Accuracy

100.0%

Counts

949 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.6%	(/.f64 (.f64 (fma.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)))) (.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(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)) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
▶	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
	20.7%	(/.f64 #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))) (-.f64 #s(literal 1 binary64) (.f64 #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))))
▶	21.7%	(/.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))))
	60.9%	(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
✓	21.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	22.5%	(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64)))))) #s(literal 1 binary64))
	21.3%	(-.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))
▶	22.7%	(-.f64 #s(approx (exp (* a x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64))
	21.8%	(-.f64 #s(approx (exp (* a x)) (/.f64 (.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 a (.f64 a (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
	22.7%	(-.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 a (.f64 a (.f64 x x))))))) #s(literal 1 binary64))
	22.5%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64)))) (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) #s(literal 1 binary64))))) #s(literal 1 binary64))
	22.5%	(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64))))))) #s(literal 1 binary64))
	21.3%	(-.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))
✓	19.9%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 a x))
	56.3%	#s(approx (- (pow (exp (* a (* x 1/2))) 2) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
▶	60.4%	#s(approx (- (pow (exp (* a (* x 1/2))) 2) 1) (*.f64 a x))
	57.3%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))))
	60.4%	#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)))
	56.4%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)))
	20.5%	#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))))
	20.3%	#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))))

Compiler

Compiled 925 to 443 computations (52.1% saved)

simplify231.0ms (2.7%)

Memory

52.7MiB live, 235.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64)))))
cost-diff	0	#s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (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 (.f64 a (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64)))))) #s(literal 1 binary64))
cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 a (.f64 a (*.f64 x x))))
cost-diff	0	#s(approx (exp (* a x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 a x))))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64))
cost-diff	256	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 a x)))
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 (- (pow (exp (* a (* x 1/2))) 2) 1) (*.f64 a x))
cost-diff	0	(+.f64 x x)
cost-diff	0	(*.f64 a (+.f64 x x))
cost-diff	0	(expm1.f64 (*.f64 a (+.f64 x x)))
cost-diff	7808	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))

Rules

15 060×	`lower-fma.f32`
15 054×	`lower-fma.f64`
5 718×	`lower-*.f32`
5 706×	`lower-*.f64`
2 500×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	347
0	68	343
1	129	343
2	274	321
3	509	319
4	819	319
5	2277	309
0	8023	298

Stop Event

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

Calls

Call 1

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

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

localize182.0ms (2.1%)

Memory

-2.6MiB live, 186.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	5.954436786046529	(.f64 a (.f64 x x))
accuracy	18.18005332268875	(/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64)))))
accuracy	25.04449225643097	(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64)))))) #s(literal 1 binary64))
accuracy	25.79741196306911	#s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64))))))
accuracy	5.954436786046529	(.f64 a (.f64 x x))
accuracy	15.54023789922547	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 a x)))
accuracy	25.04449225643097	(-.f64 #s(approx (exp (* a x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64))
accuracy	25.79741196306911	#s(approx (exp (* a x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 a x))))
accuracy	0.12109375	(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))
accuracy	0.7432836506685077	(/.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	25.04449225643097	(+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
accuracy	25.79741196306911	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
accuracy	0	(*.f64 a x)
accuracy	25.32774100886398	#s(approx (- (pow (exp (* a (* x 1/2))) 2) 1) (*.f64 a x))
accuracy	0.00390625	(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
accuracy	0.010097509768442016	(exp.f64 (*.f64 a x))
accuracy	0.01953125	(expm1.f64 (*.f64 a (+.f64 x x)))
accuracy	0.02734375	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))

Samples

76.0ms	80×	2	valid
31.0ms	66×	1	valid
27.0ms	109×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 256 to 36 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-exp: 36.0ms (34.5% of total)

ival-mult: 16.0ms (15.3% of total)

adjust: 15.0ms (14.4% of total)

ival-add: 13.0ms (12.5% of total)

ival-div: 12.0ms (11.5% of total)

ival-sub: 5.0ms (4.8% of total)

ival-pow2: 4.0ms (3.8% of total)

ival-expm1: 4.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory

-0.0MiB live, 45.0MiB allocated

Counts

21 → 492

Calls

Call 1

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

Outputs
#s(alt (* a x) (taylor 0 a) (#s(alt (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (patch (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (patch (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (patch (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (patch (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x)))) (taylor inf a) (#s(alt (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (patch (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x)))) (taylor inf a) (#s(alt (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (patch (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x)))) (taylor inf a) (#s(alt (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (patch (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x)))) (taylor inf a) (#s(alt (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (patch (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 a) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64))))) (patch (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (fma.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 2 (taylor 0 a) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* a x)) (taylor 0 a) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* a (+ x (* 1/2 (* a (pow x 2)))))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* a x))) (taylor inf a) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* a x))) (taylor inf a) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* a x))) (taylor inf a) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* a x))) (taylor inf a) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* a x))) (taylor -inf a) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* a x))) (taylor -inf a) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* a x))) (taylor -inf a) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* a x))) (taylor -inf a) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* a x)) (taylor 0 x) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x))))) (taylor 0 x) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) (taylor 0 x) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* a x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* a x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* a x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* a x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* a x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* a x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* a x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* a x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 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

123 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1))
3.0ms	a	@	-inf	(/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1))
1.0ms	a	@	inf	(/ (+ (* (* a x) (* a (* a (* x x)))) 1) (+ 1 (* (* a x) (+ (* a x) -1))))
1.0ms	x	@	inf	(/ (+ (* (* a x) (* a (* a (* x x)))) 1) (+ 1 (* (* a x) (+ (* a x) -1))))
1.0ms	a	@	0	(/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1))

simplify283.0ms (3.3%)

Memory

-4.0MiB live, 280.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 454×	`lower-fma.f64`
11 454×	`lower-fma.f32`
6 054×	`lower-*.f64`
6 054×	`lower-*.f32`
3 716×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	374	4128
1	1224	3886
2	3775	3808
0	8180	3372

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

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

rewrite277.0ms (3.3%)

Memory

5.9MiB live, 421.2MiB allocated

Rules

4 394×	`lower-/.f32`
4 384×	`lower-/.f64`
4 276×	`lower-fma.f32`
4 270×	`lower-fma.f64`
4 018×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	264
0	68	192
1	294	157
2	2503	157
0	8462	150

Stop Event

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

Counts

21 → 1 314

Calls

Call 1

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

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

eval377.0ms (4.4%)

Memory: 21.7MiB live, 383.7MiB allocated
Compiler: Compiled 57 140 to 4 146 computations (92.7% saved)

prune219.0ms (2.6%)

Memory

26.9MiB live, 314.4MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	2 178	8	2 186
Fresh	9	6	15
Picked	3	2	5
Done	0	3	3
Total	2 190	19	2 209

Accuracy

100.0%

Counts

2 209 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
	59.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (* a x)) -1) (*.f64 a x))))
▶	59.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.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)))
▶	60.9%	(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
✓	21.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
	23.3%	(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
	4.4%	(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) #s(literal 1 binary64)) #s(approx (+ 1 (* (* a x) (+ (* a x) -1))) (.f64 a (.f64 x (*.f64 a x)))))) #s(literal 1 binary64))
	20.2%	(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) #s(literal 1 binary64)) #s(approx (+ 1 (* (* a x) (+ (* a x) -1))) #s(literal 1 binary64)))) #s(literal 1 binary64))
	59.1%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* a (* x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal 1 binary64))
✓	19.9%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 a x))
	30.8%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x)))) #s(literal -1 binary64)))
▶	56.3%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 a (fma.f64 (.f64 x x) (*.f64 a #s(literal 1/2 binary64)) x)))
✓	60.4%	#s(approx (- (pow (exp (* a (* x 1/2))) 2) 1) (*.f64 a x))
▶	57.3%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))))
	60.4%	#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)))
	56.4%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)))
▶	20.5%	#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))))
	20.3%	#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))))

Compiler

Compiled 542 to 306 computations (43.5% saved)

simplify271.0ms (3.2%)

Memory

-3.9MiB live, 270.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x (fma.f64 a (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
cost-diff	0	(/.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)
cost-diff	0	#s(approx (/ 1 (+ (exp (* a x)) -1)) (/.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))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.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)))
cost-diff	0	(.f64 a (.f64 x x))
cost-diff	0	(.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))))
cost-diff	320	(fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)))
cost-diff	0	(.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)
cost-diff	0	#s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))
cost-diff	0	(.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (.f64 a #s(literal 1/2 binary64)) x)
cost-diff	0	(.f64 a (fma.f64 (.f64 x x) (*.f64 a #s(literal 1/2 binary64)) x))
cost-diff	0	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 a (fma.f64 (.f64 x x) (*.f64 a #s(literal 1/2 binary64)) x)))
cost-diff	0	(.f64 a (.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(exp.f64 #s(literal 2 binary64))
cost-diff	0	(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64))))
cost-diff	0	(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))

Rules

18 800×	`lower-fma.f32`
18 790×	`lower-fma.f64`
2 902×	`lower-*.f32`
2 870×	`lower-*.f64`
2 592×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	384
0	91	384
1	173	382
2	350	382
3	702	374
4	987	374
5	1335	365
6	1494	365
7	2128	365
8	5355	365
0	8385	350

Stop Event

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

Calls

Call 1

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

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

localize295.0ms (3.5%)

Memory

5.1MiB live, 302.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.359375	(*.f64 x #s(literal 1/12 binary64))
accuracy	0.7432836506685077	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.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)))
accuracy	7.36816287256803	(/.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)
accuracy	24.959697373157418	#s(approx (/ 1 (+ (exp (* a x)) -1)) (/.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))
accuracy	0.359375	(*.f64 x #s(literal 1/6 binary64))
accuracy	3.198233341391249	(.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
accuracy	5.954436786046526	(.f64 a (.f64 x x))
accuracy	25.310272716944368	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))))
accuracy	3.1531442875662425	(.f64 x (.f64 x (*.f64 a a)))
accuracy	5.2066307081766	(.f64 x (.f64 a a))
accuracy	25.310272716944368	#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))))
accuracy	36.39015711512062	#s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))
accuracy	0	(*.f64 a #s(literal 1/2 binary64))
accuracy	0.9731335552541671	(.f64 a (fma.f64 (.f64 x x) (*.f64 a #s(literal 1/2 binary64)) x))
accuracy	4.422715411672347	(fma.f64 (.f64 x x) (.f64 a #s(literal 1/2 binary64)) x)
accuracy	26.115138536922448	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 a (fma.f64 (.f64 x x) (*.f64 a #s(literal 1/2 binary64)) x)))
accuracy	0	(.f64 a (.f64 x #s(literal 1/2 binary64)))
accuracy	0	(exp.f64 #s(literal 2 binary64))
accuracy	0.00390625	(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64))))
accuracy	25.04449225643097	(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))

Samples

108.0ms	80×	2	valid
80.0ms	109×	0	valid
42.0ms	66×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 290 to 55 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

const: 47.0ms (27.6% of total)

ival-mult: 36.0ms (21.2% of total)

ival-exp: 22.0ms (12.9% of total)

adjust: 20.0ms (11.8% of total)

ival-pow: 14.0ms (8.2% of total)

ival-div: 12.0ms (7.1% of total)

ival-add: 12.0ms (7.1% of total)

ival-expm1: 4.0ms (2.4% of total)

ival-sub: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series42.0ms (0.5%)

Memory

-33.8MiB live, 68.7MiB allocated

Counts

25 → 528

Calls

Call 1

Inputs
#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (exp.f64 #s(literal 2 binary64)) (patch (exp.f64 #s(literal 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 x))) 1) (+ (exp (* a x)) 1)) (.f64 a (fma.f64 (.f64 x x) (.f64 a #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- (exp ( a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 a (fma.f64 (.f64 x x) (*.f64 a #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())
#s(alt (.f64 a (fma.f64 (.f64 x x) (.f64 a #s(literal 1/2 binary64)) x)) (patch (.f64 a (fma.f64 (.f64 x x) (.f64 a #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (.f64 a #s(literal 1/2 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 a #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)))) (patch #s(approx (- (exp ( a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)))) #<representation binary64>) () ())
#s(alt (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x))) (patch (.f64 a #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)))) (patch #s(approx (- (exp ( a x)) 1) (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) (patch (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) #<representation binary64>) () ())
#s(alt (.f64 a (.f64 x x)) (patch (.f64 a (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.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))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp ( a x)) -1)) (/.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))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.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)) (patch #s(approx (/ 1 (+ (exp ( a x)) -1)) (/.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)) #<representation binary64>) () ())
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (patch (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())
#s(alt (.f64 a #s(literal 1/2 binary64)) (patch (.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a 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 #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* a x) (taylor 0 a) (#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ a (* 1/2 (* (pow a 2) x)))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) (taylor 0 a) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) (taylor 0 a) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor inf a) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor inf a) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor inf a) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor inf a) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf a) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf a) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf a) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf a) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a x)) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor inf x) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor inf x) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor inf x) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor inf x) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* a x)) (taylor 0 a) (#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 (* 1/2 (* a x)) (taylor 0 a) (#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 (* 1/2 (* a x)) (taylor 0 a) (#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 (* 1/2 (* a x)) (taylor 0 a) (#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 (* 1/2 (* a x)) (taylor inf a) (#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 (* 1/2 (* a x)) (taylor inf a) (#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 (* 1/2 (* a x)) (taylor inf a) (#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 (* 1/2 (* a x)) (taylor inf a) (#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 (* 1/2 (* a x)) (taylor -inf a) (#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 (* 1/2 (* a x)) (taylor -inf a) (#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 (* 1/2 (* a x)) (taylor -inf a) (#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 (* 1/2 (* a x)) (taylor -inf a) (#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 (* 1/2 (* a x)) (taylor 0 x) (#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 (* 1/2 (* a x)) (taylor 0 x) (#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 (* 1/2 (* a x)) (taylor 0 x) (#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 (* 1/2 (* a x)) (taylor 0 x) (#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 (* 1/2 (* a x)) (taylor inf x) (#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 (* 1/2 (* a x)) (taylor inf x) (#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 (* 1/2 (* a x)) (taylor inf x) (#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 (* 1/2 (* a x)) (taylor inf x) (#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 (* 1/2 (* a x)) (taylor -inf x) (#s(alt (.f64 a (.f64 x #s(literal 1/2 binary64))) (patch (.f64 a (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) (taylor inf a) (#s(alt (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x))) (patch (.f64 a #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) (taylor inf a) (#s(alt (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x))) (patch (.f64 a #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) (taylor inf a) (#s(alt (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x))) (patch (.f64 a #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 3) (pow x 3))) (taylor -inf a) (#s(alt (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x))) (patch (.f64 a #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))) #<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 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x))) (patch (.f64 a #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))) #<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 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x))) (patch (.f64 a #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))) #<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 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x))) (patch (.f64 a #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 x) (#s(alt (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x))) (patch (.f64 a #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ a (* 1/2 (* (pow a 2) x)))) (taylor 0 x) (#s(alt (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x))) (patch (.f64 a #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) (taylor 0 x) (#s(alt (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x))) (patch (.f64 a #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) (taylor 0 x) (#s(alt (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x))) (patch (.f64 a #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 3) (pow x 3))) (taylor inf x) (#s(alt (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x))) (patch (.f64 a #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) (taylor inf x) (#s(alt (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x))) (patch (.f64 a #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))) #<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 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x))) (patch (.f64 a #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))) #<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 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x))) (patch (.f64 a #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 3) (pow x 3))) (taylor -inf x) (#s(alt (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x))) (patch (.f64 a #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))) #<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 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x))) (patch (.f64 a #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))) #<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 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x))) (patch (.f64 a #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))) #<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 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x))) (patch (.f64 a #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 a) (#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (* a (pow x 2)))) (taylor 0 a) (#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))) (taylor 0 a) (#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))) (taylor 0 a) (#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor inf a) (#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) (taylor inf a) (#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) (taylor inf a) (#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) (taylor inf a) (#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor -inf a) (#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) (taylor -inf a) (#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3)))) (taylor -inf a) (#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3)))) (taylor -inf a) (#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 (* a x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))) (taylor 0 x) (#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))) (taylor 0 x) (#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor inf x) (#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) (taylor inf x) (#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 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 #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 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 #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor -inf x) (#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 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 #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 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 #s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x)) (patch #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor 0 a) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor 0 a) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor 0 a) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor 0 a) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor inf a) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor inf a) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor inf a) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor inf a) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor -inf a) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor -inf a) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor -inf a) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 2) (pow x 3))) (taylor -inf a) (#s(alt (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x (.f64 x (.f64 a a))) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 x) (#s(alt (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) #<representation binary64>) () ())) ())
#s(alt (* x (+ a (* 1/2 (* (pow a 2) x)))) (taylor 0 x) (#s(alt (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 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 (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 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 (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 3) (pow x 3))) (taylor inf x) (#s(alt (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 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 (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 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 (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 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 (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 3) (pow x 3))) (taylor -inf x) (#s(alt (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 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 (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 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 (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 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 (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 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 (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 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 (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 3) (pow x 3))) (taylor inf a) (#s(alt (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 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 (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 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 (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 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 (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 3) (pow x 3))) (taylor -inf a) (#s(alt (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 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 (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 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 (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) (patch (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) #<representation binary64>) () ())) ())
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#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)))) (patch #s(approx (- (exp ( a x)) 1) (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)))) #<representation binary64>) () ())) ())
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#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)))) (patch #s(approx (- (exp ( a x)) 1) (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ (* -1 (/ (- 1/2 (/ 1 (* a x))) x)) (* 1/12 a))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (patch (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- 1/2 (/ 1 (* a x))) x)) (* 1/12 a))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (patch (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor 0 a) (#s(alt (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (patch (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1/2 (* a x))) a) (taylor 0 a) (#s(alt (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (patch (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* a (+ (* -1/2 x) (* 1/12 (* a (pow x 2)))))) a) (taylor 0 a) (#s(alt (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (patch (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* a (+ (* -1/2 x) (* 1/12 (* a (pow x 2)))))) a) (taylor 0 a) (#s(alt (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (patch (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (* a (pow x 2))) (taylor inf a) (#s(alt (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (patch (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ x a)) (* 1/12 (pow x 2)))) (taylor inf a) (#s(alt (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (patch (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ x a)) (+ (* 1/12 (pow x 2)) (/ 1 (pow a 2))))) (taylor inf a) (#s(alt (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (patch (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ x a)) (+ (* 1/12 (pow x 2)) (/ 1 (pow a 2))))) (taylor inf a) (#s(alt (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (patch (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (* a (pow x 2))) (taylor -inf a) (#s(alt (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (patch (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/12 (pow x 2)) (* 1/2 (/ x a))))) (taylor -inf a) (#s(alt (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (patch (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (+ (* -1/2 x) (/ 1 a)) a)) (* -1/12 (pow x 2))))) (taylor -inf a) (#s(alt (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (patch (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (+ (* -1/2 x) (/ 1 a)) a)) (* -1/12 (pow x 2))))) (taylor -inf a) (#s(alt (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (patch (fma.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 a) (taylor 0 a) (#s(alt (.f64 a #s(literal 1/2 binary64)) (patch (.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 a) (taylor 0 a) (#s(alt (.f64 a #s(literal 1/2 binary64)) (patch (.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 a) (taylor 0 a) (#s(alt (.f64 a #s(literal 1/2 binary64)) (patch (.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 a) (taylor 0 a) (#s(alt (.f64 a #s(literal 1/2 binary64)) (patch (.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 a) (taylor inf a) (#s(alt (.f64 a #s(literal 1/2 binary64)) (patch (.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 a) (taylor inf a) (#s(alt (.f64 a #s(literal 1/2 binary64)) (patch (.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 a) (taylor inf a) (#s(alt (.f64 a #s(literal 1/2 binary64)) (patch (.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 a) (taylor inf a) (#s(alt (.f64 a #s(literal 1/2 binary64)) (patch (.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 a) (taylor -inf a) (#s(alt (.f64 a #s(literal 1/2 binary64)) (patch (.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 a) (taylor -inf a) (#s(alt (.f64 a #s(literal 1/2 binary64)) (patch (.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 a) (taylor -inf a) (#s(alt (.f64 a #s(literal 1/2 binary64)) (patch (.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 a) (taylor -inf a) (#s(alt (.f64 a #s(literal 1/2 binary64)) (patch (.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor 0 x) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor 0 x) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor 0 x) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor 0 x) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor inf x) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor inf x) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor inf x) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor inf x) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor 0 a) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor 0 a) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor 0 a) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor 0 a) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor inf a) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor inf a) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor inf a) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor inf a) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor -inf a) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor -inf a) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor -inf a) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor -inf a) (#s(alt (.f64 x (.f64 a a)) (patch (.f64 x (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor 0 x) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor 0 x) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor 0 x) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor 0 x) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor inf x) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor inf x) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor inf x) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor inf x) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor -inf x) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor -inf x) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor -inf x) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor -inf x) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor 0 a) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor 0 a) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor 0 a) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor 0 a) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor inf a) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor inf a) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor inf a) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor inf a) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor -inf a) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor -inf a) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor -inf a) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow x 2)) (taylor -inf a) (#s(alt (.f64 x (.f64 x (.f64 a a))) (patch (.f64 x (.f64 x (.f64 a 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 (* 1/12 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())

Calls

132 calls:

Time	Variable		Point	Expression
10.0ms	a	@	-inf	(* a (+ (* (* x x) (* a 1/2)) x))
1.0ms	x	@	-inf	(/ (+ (* x (+ (* a (* x 1/12)) -1/2)) (/ 1 a)) x)
1.0ms	x	@	0	(* (* (* x (* x (* a a))) 1/6) x)
1.0ms	a	@	0	(* (* (* x (* x (* a a))) 1/6) x)
0.0ms	x	@	0	(/ (+ (* x (+ (* a (* x 1/12)) -1/2)) (/ 1 a)) x)

simplify315.0ms (3.7%)

Memory

43.4MiB live, 264.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 358×	`lower-fma.f64`
15 358×	`lower-fma.f32`
6 338×	`lower-*.f64`
6 338×	`lower-*.f32`
4 242×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	367	5278
1	1195	5132
2	4032	5022
0	8117	4544

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 524

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

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

rewrite424.0ms (5%)

Memory

-35.2MiB live, 401.2MiB allocated

Rules

7 368×	`lower-fma.f32`
7 358×	`lower-fma.f64`
4 536×	`lower-*.f32`
4 504×	`lower-*.f64`
3 406×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	323
0	91	323
1	343	298
2	2397	290
0	9737	275

Stop Event

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

Counts

25 → 662

Calls

Call 1

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

Outputs
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(expm1.f64 (+.f64 x x))
(expm1.f64 (*.f64 a (+.f64 x x)))
(expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64)))
(expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64)))
(expm1.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 a x) #s(literal 1/4 binary64))))
(expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))))
(expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3/2 binary64)))
(expm1.f64 (.f64 #s(literal 2 binary64) (fma.f64 a (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 2 binary64)))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) a) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))
(expm1.f64 (.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(expm1.f64 (.f64 (log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) a (.f64 #s(literal 2 binary64) a)))) (*.f64 x #s(literal 1/2 binary64))))
(expm1.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (.f64 a x) #s(literal 1/4 binary64)))))
(expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 a (+.f64 x x)) #s(literal 4 binary64))))
(expm1.f64 (.f64 (.f64 a (+.f64 x x)) a))
(expm1.f64 (.f64 (log.f64 (exp.f64 (.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64)))) x))
(expm1.f64 (.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (.f64 (*.f64 a x) #s(literal 1/4 binary64))))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(expm1.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) a) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) a) (+.f64 x x)))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 a x) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (.f64 (.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (.f64 (.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(expm1.f64 (.f64 a (.f64 (+.f64 x x) #s(literal 3 binary64))))
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(expm1.f64 (.f64 a (.f64 #s(literal 2 binary64) (+.f64 x x))))
(expm1.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 a x) #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (.f64 (*.f64 a x) #s(literal 1/4 binary64)))))
(expm1.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 a x) #s(literal 1/4 binary64)) (*.f64 a (+.f64 x x))))
(expm1.f64 (fma.f64 a (+.f64 x x) (.f64 #s(literal 2 binary64) (.f64 (*.f64 a x) #s(literal 1/4 binary64)))))
(expm1.f64 (fma.f64 (.f64 a x) #s(literal 3 binary64) (.f64 (*.f64 a x) #s(literal 3 binary64))))
(expm1.f64 (fma.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64) (.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))))
(expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a x)))
(expm1.f64 (fma.f64 a x (*.f64 a (+.f64 x x))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a x)) (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 a x)) #s(literal -1 binary64))
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(/.f64 (fma.f64 (fma.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (neg.f64 (neg.f64 a)) (.f64 (fma.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 (fma.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (neg.f64 a) (.f64 (fma.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (.f64 x #s(literal -1/2 binary64))))) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 a)))
(/.f64 (fma.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x)))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64)))) a (.f64 (-.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (.f64 x #s(literal -1/2 binary64))) a))
(/.f64 (fma.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x)))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 a)) (.f64 (-.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (.f64 x #s(literal -1/2 binary64))) (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x)))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64)))) (neg.f64 a) (.f64 (-.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) (.f64 (-.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (.f64 x #s(literal -1/2 binary64))) (neg.f64 a)))
(/.f64 (fma.f64 (.f64 x (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64))) a (.f64 (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal -1/24 binary64)))) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal -1/24 binary64)))) a))
(/.f64 (fma.f64 (.f64 x (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64))) (neg.f64 (neg.f64 a)) (.f64 (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal -1/24 binary64)))) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal -1/24 binary64)))) (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 (.f64 x (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64))) (neg.f64 a) (.f64 (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal -1/24 binary64)))) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal -1/24 binary64)))) (neg.f64 a)))
(/.f64 (fma.f64 (.f64 x (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/144 binary64) #s(literal -1/4 binary64))) a (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 a x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 a x) #s(literal 1/2 binary64)) a))
(/.f64 (fma.f64 (.f64 x (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/144 binary64) #s(literal -1/4 binary64))) (neg.f64 (neg.f64 a)) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 a x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 a x) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 (.f64 x (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/144 binary64) #s(literal -1/4 binary64))) (neg.f64 a) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 a x) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 a x) #s(literal 1/2 binary64)) (neg.f64 a)))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64)) x) a (.f64 (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal -1/24 binary64)))) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal -1/24 binary64)))) a))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64)) x) (neg.f64 (neg.f64 a)) (.f64 (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal -1/24 binary64)))) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal -1/24 binary64)))) (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64)) x) (neg.f64 a) (.f64 (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal -1/24 binary64)))) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal -1/24 binary64)))) (neg.f64 a)))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/144 binary64) #s(literal -1/4 binary64)) x) a (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 a x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 a x) #s(literal 1/2 binary64)) a))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/144 binary64) #s(literal -1/4 binary64)) x) (neg.f64 (neg.f64 a)) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 a x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 a x) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/144 binary64) #s(literal -1/4 binary64)) x) (neg.f64 a) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 a x) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 a x) #s(literal 1/2 binary64)) (neg.f64 a)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))) (-.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) a))) (.f64 (-.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) (.f64 a a)))) (.f64 (-.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) a)) (-.f64 (.f64 x (fma.f64 a (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) a))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (neg.f64 (neg.f64 (fma.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) a)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 a a))))) (neg.f64 (neg.f64 (-.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (pow.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x))) (-.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))) (.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (*.f64 a x))) (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x)))) #s(literal 3 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x)))) (+.f64 (/.f64 #s(literal 1 binary64) a) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x)))) (-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 a x)))) (.f64 x #s(literal -1/2 binary64))))))
(pow.f64 (/.f64 (fma.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) a)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) a)) (-.f64 (.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 a a)))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) a))))
(.f64 (-.f64 (.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (fma.f64 a (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) a))))
(*.f64 a #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) a)
(.f64 a (.f64 a x))
(.f64 x (.f64 a a))
(.f64 (.f64 a a) x)
(.f64 (.f64 a x) a)
(exp.f64 (.f64 (log.f64 (.f64 a x)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 a) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (*.f64 a x) #s(literal 2 binary64))
(.f64 a (.f64 x (*.f64 a x)))
(.f64 x (.f64 a (*.f64 a x)))
(.f64 (.f64 x x) (*.f64 a a))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 (.f64 a (*.f64 a x)) x)
(.f64 (.f64 x (*.f64 a x)) a)
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)

eval164.0ms (1.9%)

Memory: 17.5MiB live, 336.7MiB allocated
Compiler: Compiled 23 403 to 2 129 computations (90.9% saved)

prune270.0ms (3.2%)

Memory

35.4MiB live, 376.0MiB allocated

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	1 196	8	1 204
Fresh	1	8	9
Picked	4	1	5
Done	0	5	5
Total	1 201	22	1 223

Accuracy

100.0%

Counts

1 223 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
	40.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) #s(approx (/ (+ (* x (+ (* a (* x 1/12)) -1/2)) (/ 1 a)) x) (fma.f64 x (fma.f64 a #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 x x)))) #s(literal -1/2 binary64)))))
	4.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) #s(approx (/ (+ (* x (+ (* a (* x 1/12)) -1/2)) (/ 1 a)) x) (.f64 (.f64 a x) #s(literal 1/12 binary64)))))
✓	60.9%	(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
✓	21.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
	23.3%	(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
	4.4%	(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) #s(literal 1 binary64)) #s(approx (+ 1 (* (* a x) (+ (* a x) -1))) (.f64 a (.f64 x (*.f64 a x)))))) #s(literal 1 binary64))
	20.2%	(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) #s(literal 1 binary64)) #s(approx (+ 1 (* (* a x) (+ (* a x) -1))) #s(literal 1 binary64)))) #s(literal 1 binary64))
	59.1%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* a (* x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal 1 binary64))
✓	19.9%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 a x))
	30.8%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x)))) #s(literal -1 binary64)))
	59.2%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 x a (.f64 x (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) a))))
	59.2%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 a x)) x) a))
	19.3%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 a #s(approx (+ ( (* x x) (* a 1/2)) x) (.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x))))))
	54.0%	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 a (fma.f64 (.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (.f64 x (.f64 a (*.f64 a #s(literal 1/6 binary64))))) x)))
	51.6%	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) x)))
✓	60.4%	#s(approx (- (pow (exp (* a (* x 1/2))) 2) 1) (*.f64 a x))
	60.4%	#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)))
	56.4%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)))
	20.3%	#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))))
	19.8%	#s(approx (- (exp (* a x)) 1) #s(approx (+ (* x a) (* (* a (* x x)) (* (+ (* a (* x 1/6)) 1/2) a))) (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/6 binary64)))))))

Compiler

Compiled 1 082 to 363 computations (66.5% saved)

regimes62.0ms (0.7%)

Memory

-2.6MiB live, 88.6MiB allocated

Counts

44 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	a
12.0ms	x
12.0ms	(*.f64 a x)
11.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
10.0ms	(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)

regimes56.0ms (0.7%)

Memory

-38.1MiB live, 60.8MiB allocated

Counts

38 → 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))
#s(approx (- (pow (exp (* a (* x 1/2))) 2) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 a #s(approx (+ ( (* x x) (* a 1/2)) x) (.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
#s(approx (- (pow (exp (* a (* x 1/2))) 2) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 a (fma.f64 (.f64 x x) (*.f64 a #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 a x)) x) a))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) #s(approx (/ (+ (* x (+ (* a (* x 1/12)) -1/2)) (/ 1 a)) x) (.f64 (.f64 a x) #s(literal 1/12 binary64)))))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* a (* x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal 1 binary64))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 x a (.f64 x (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (* a x)) -1) (*.f64 a x))))
#s(approx (- (exp (* a x)) 1) #s(approx (+ (* x a) (* (* a (* x x)) (* (+ (* a (* x 1/6)) 1/2) a))) (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/6 binary64)))))))
#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))))
#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) 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)))
(-.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))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))))
#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 a (fma.f64 (.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (.f64 x (.f64 a (*.f64 a #s(literal 1/6 binary64))))) x)))
(-.f64 #s(approx (exp (* a x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) #s(literal 1 binary64)) #s(approx (+ 1 (* (* a x) (+ (* a x) -1))) #s(literal 1 binary64)))) #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)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) #s(approx (/ (+ (* x (+ (* a (* x 1/12)) -1/2)) (/ 1 a)) x) (fma.f64 x (fma.f64 a #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 x x)))) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.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)))
(-.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 a (.f64 a (.f64 x x))))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) #s(literal 1 binary64)) #s(approx (+ 1 (* (* a x) (+ (* a x) -1))) (.f64 a (.f64 x (*.f64 a x)))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (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 a (.f64 a (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) (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 a (.f64 a (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) x)))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64)))) (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 a (.f64 a (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 #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))) (-.f64 #s(literal 1 binary64) (.f64 #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))))
(/.f64 (.f64 (fma.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)))) (.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(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)) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))

Outputs

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

Results

Accuracy	Segments	Branch
79.6%	2	`a`
80.6%	2	`x`
98.5%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
98.5%	2	`(exp.f64 (*.f64 a x))`
98.5%	2	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes15.0ms (0.2%)

Memory

27.2MiB live, 27.2MiB allocated

Counts

18 → 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))
#s(approx (- (pow (exp (* a (* x 1/2))) 2) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 a #s(approx (+ ( (* x x) (* a 1/2)) x) (.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
#s(approx (- (pow (exp (* a (* x 1/2))) 2) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 a (fma.f64 (.f64 x x) (*.f64 a #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 a x)) x) a))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) #s(approx (/ (+ (* x (+ (* a (* x 1/12)) -1/2)) (/ 1 a)) x) (.f64 (.f64 a x) #s(literal 1/12 binary64)))))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* a (* x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal 1 binary64))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 x a (.f64 x (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (* a x)) -1) (*.f64 a x))))
#s(approx (- (exp (* a x)) 1) #s(approx (+ (* x a) (* (* a (* x x)) (* (+ (* a (* x 1/6)) 1/2) a))) (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/6 binary64)))))))
#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (.f64 (.f64 x (.f64 x (*.f64 a a))) #s(literal 1/6 binary64)) x))))
#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) 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 (- 1 (* a (* a (* x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal 1 binary64))

#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 x a (*.f64 x (*.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) 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
98.4%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
98.4%	2	`(exp.f64 (*.f64 a x))`
98.4%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes12.0ms (0.1%)

Memory

-27.0MiB live, 18.8MiB allocated

Counts

11 → 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))
#s(approx (- (pow (exp (* a (* x 1/2))) 2) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 a #s(approx (+ ( (* x x) (* a 1/2)) x) (.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
#s(approx (- (pow (exp (* a (* x 1/2))) 2) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 a (fma.f64 (.f64 x x) (*.f64 a #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 a x)) x) a))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) #s(approx (/ (+ (* x (+ (* a (* x 1/12)) -1/2)) (/ 1 a)) x) (.f64 (.f64 a x) #s(literal 1/12 binary64)))))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* a (* x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal 1 binary64))

Outputs

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

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

Calls

3 calls:

5.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms	(*.f64 a x)
3.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
98.4%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
98.4%	2	`(exp.f64 (*.f64 a x))`
98.4%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes17.0ms (0.2%)

Memory

33.4MiB live, 33.4MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
60.4%	1	`a`
60.4%	1	`x`
60.4%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
60.4%	1	`(exp.f64 (*.f64 a x))`
60.4%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes10.0ms (0.1%)

Memory

-29.2MiB live, 14.4MiB 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:

5.0ms	(*.f64 a x)
1.0ms	x
1.0ms	a
1.0ms	(exp.f64 (*.f64 a x))
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
19.9%	1	`(*.f64 a x)`
19.9%	1	`a`
19.9%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
19.9%	1	`(exp.f64 (*.f64 a x))`
19.9%	1	`x`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2125649.4594384516	-0.032401401721388175

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	-2125649.4594384516	-0.032401401721388175

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	-2125649.4594384516	-0.032401401721388175

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify9.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
20×	`unsub-neg_binary64`
20×	`neg-mul-1_binary64`
14×	`+-commutative_binary64`
14×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	188
1	70	188
2	85	188
3	97	188
4	114	188
5	138	188
6	140	188

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -2000000 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* a (* x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #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 -2000000 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* a (* x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64)) #s(approx (/ (- (exp ( a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 x a (.f64 x (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) a)))))
(if (<=.f64 (.f64 a x) #s(literal -2000000 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* a (* x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64)) #s(approx (/ (- (exp ( a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 a x)) x) a)))
#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 -2000000 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* a (* x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #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 -2000000 binary64)) (+.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* a (* x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.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 -2000000 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* a (* x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64)) #s(approx (/ (- (exp ( a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 x a (.f64 x (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) a)))))
(if (<=.f64 (.f64 a x) #s(literal -2000000 binary64)) (+.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* a (* x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64)) #s(approx (/ (- (exp ( a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 x a (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))))))
(if (<=.f64 (.f64 a x) #s(literal -2000000 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* a (* x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64)) #s(approx (/ (- (exp ( a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 a x)) x) a)))
(if (<=.f64 (.f64 a x) #s(literal -2000000 binary64)) (+.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* a (* x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64)) #s(approx (/ (- (exp ( a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 a x)) x))))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))

soundness1.3s (15.1%)

Memory

14.6MiB live, 625.3MiB allocated

Rules

11 454×	`lower-fma.f64`
11 454×	`lower-fma.f32`
8 560×	`lower-fma.f64`
8 560×	`lower-fma.f32`
7 368×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	323
0	91	323
1	343	298
2	2397	290
0	9737	275
0	28	130
0	46	120
1	172	120
2	1255	119
0	8173	119
0	374	4128
1	1224	3886
2	3775	3808
0	8180	3372
0	6	13
0	9	13
1	30	13
2	152	13
0	1346	11
0	63	432
1	195	432
2	526	424
3	1050	424
4	1650	424
5	1848	424
6	1875	424
7	1895	424
8	1909	424
9	1912	424
10	1912	424
11	2607	420
12	3082	420
13	4049	420
14	4050	420
15	4050	420
16	4178	420
17	4178	420
18	6095	416
19	6319	416
20	6361	416
21	6375	416
22	6375	416
23	6551	416
24	6889	416
25	6889	416
26	7463	416
0	7463	360

Stop Event

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

Compiler

Compiled 326 to 157 computations (51.8% saved)

preprocess73.0ms (0.9%)

Memory: 27.4MiB live, 73.6MiB allocated
Remove: (sort a x)
Compiler: Compiled 262 to 96 computations (63.4% 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%)

analyze16.0ms (0.2%)

sample1.2s (13.8%)

explain76.0ms (0.9%)

preprocess42.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize17.0ms (0.2%)

series4.0ms (0%)

simplify285.0ms (3.4%)

rewrite84.0ms (1%)

eval65.0ms (0.8%)

prune94.0ms (1.1%)

simplify352.0ms (4.1%)

localize119.0ms (1.4%)

series29.0ms (0.3%)

simplify507.0ms (6%)

rewrite432.0ms (5.1%)

eval109.0ms (1.3%)

prune158.0ms (1.9%)

simplify231.0ms (2.7%)

localize182.0ms (2.1%)

series41.0ms (0.5%)

simplify283.0ms (3.3%)

rewrite277.0ms (3.3%)

eval377.0ms (4.4%)

prune219.0ms (2.6%)

simplify271.0ms (3.2%)

localize295.0ms (3.5%)

series42.0ms (0.5%)

simplify315.0ms (3.7%)

rewrite424.0ms (5%)

eval164.0ms (1.9%)

prune270.0ms (3.2%)

regimes62.0ms (0.7%)

regimes56.0ms (0.7%)

regimes15.0ms (0.2%)

regimes12.0ms (0.1%)

regimes17.0ms (0.2%)

regimes10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.3s (15.1%)

preprocess73.0ms (0.9%)

end0.0ms (0%)

Profiling

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