Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze21.0ms (0.4%)

Memory

-6.9MiB live, 32.0MiB 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)

sample614.0ms (11.2%)

Memory

24.1MiB live, 805.5MiB allocated

Samples

379.0ms	8 256×	0	valid
12.0ms	293×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-mult: 77.0ms (46.1% of total)

ival-expm1: 54.0ms (32.3% of total)

ival->: 25.0ms (15% of total)

exact: 7.0ms (4.2% of total)

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

Bogosity

explain66.0ms (1.2%)

Memory

30.1MiB live, 68.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
129	39	(-8.535507883382356e-211 6.175175942319246e-170)	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	0	-	-	`a`
0	0	-	-	`(exp.f64 (*.f64 a x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 a x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	168	0

Confusion

	Predicted +	Predicted -
+	129	0
-	39	88

Precision

0.7678571428571429

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	39	0	88

Precision?

0.7678571428571429

Recall?

1.0

Freqs

test

number	freq
0	88
1	168

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 58 to 29 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-exp: 4.0ms (33.3% of total)

ival-mult: 4.0ms (33.3% of total)

ival-expm1: 3.0ms (25% of total)

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

exact: 0.0ms (0% of total)

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

preprocess18.0ms (0.3%)

Memory

-22.8MiB live, 15.6MiB 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 x a))

Symmetry

(sort a x)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.4%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify3.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	-6144	(exp.f64 (*.f64 a x))
cost-diff	0	(*.f64 a x)
cost-diff	6336	(-.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 x a))
(exp.f64 (*.f64 a x))
(pow.f64 (exp.f64 x) a)
(*.f64 a x)
(*.f64 x a)
a
x
#s(literal 1 binary64)

localize17.0ms (0.3%)

Memory

16.7MiB live, 16.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a x)
accuracy	0	(exp.f64 (*.f64 a x))
accuracy	29.794242639383235	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

12.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-exp: 2.0ms (34.2% of total)

ival-mult: 2.0ms (34.2% of total)

ival-expm1: 2.0ms (34.2% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-36.4MiB live, 5.2MiB 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 (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())
#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.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 (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())

#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.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 (* 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 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)) 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 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 (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)) 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 -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 (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 (* 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 (* 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 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)) 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 (* 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 (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)) 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 (* 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 (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>) () ())) ())

Calls

6 calls:

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

simplify212.0ms (3.9%)

Memory

18.4MiB live, 93.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 560×	`lower-fma.f64`
8 560×	`lower-fma.f32`
3 428×	`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	1045	424
4	1672	424
5	1873	424
6	1900	424
7	1920	424
8	1934	424
9	1937	424
10	1937	424
11	2619	420
12	3094	420
13	4061	420
14	4062	420
15	4062	420
16	4190	420
17	4190	420
18	6071	416
19	6279	416
20	6321	416
21	6335	416
22	6335	416
23	6511	416
24	6849	416
25	6849	416
26	7408	416
0	7408	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))))))))
(* a x)
(* a x)
(* a x)
(* a x)
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* 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))))))))
(* a x)
(* a x)
(* a x)
(* 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)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))

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

rewrite60.0ms (1.1%)

Memory

11.5MiB live, 49.5MiB 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))
(*.f64 a x)
(exp.f64 (*.f64 a x))

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

eval37.0ms (0.7%)

Memory: -5.4MiB live, 35.0MiB allocated
Compiler: Compiled 3 200 to 339 computations (89.4% saved)

prune19.0ms (0.4%)

Memory

-9.7MiB live, 29.0MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	177	6	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	178	6	184

Accuracy

100.0%

Counts

184 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
	66.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
▶	67.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
▶	61.6%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	66.9%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 120 to 94 computations (21.7% saved)

simplify39.0ms (0.7%)

Memory

27.6MiB live, 27.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

1 276×	`lower-fma.f32`
1 270×	`lower-fma.f64`
986×	`lower-*.f32`
972×	`lower-*.f64`
846×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	158
0	40	152
1	71	152
2	127	152
3	266	152
4	644	152
5	1265	152
6	1475	152
7	1526	152
8	1598	152
9	1690	152
10	1718	152
11	1718	152
12	1718	152
13	1905	152
0	1905	152

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize64.0ms (1.2%)

Memory

-18.5MiB live, 57.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
accuracy	0.34765625	(*.f64 #s(literal 1/6 binary64) x)
accuracy	1.9114207708599946	(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
accuracy	21.132572049414414	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
accuracy	0.0078125	(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
accuracy	1.9185789800547384	(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
accuracy	8.092261150923063	(.f64 (.f64 a a) x)
accuracy	21.856585686312485	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
accuracy	0	(*.f64 x a)
accuracy	21.17557622614498	#s(approx (- (exp (* a x)) 1) (*.f64 x a))
accuracy	21.690938412379776	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	29.794242639383235	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0	(*.f64 x a)
accuracy	0.00390625	(expm1.f64 (*.f64 x a))

Samples

49.0ms

256×

valid

Compiler

Compiled 135 to 24 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 22.0ms (64.4% of total)

const: 4.0ms (11.7% of total)

ival-add: 3.0ms (8.8% of total)

ival-expm1: 3.0ms (8.8% of total)

ival-exp: 2.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series76.0ms (1.4%)

Memory

-10.5MiB live, 29.6MiB allocated

Counts

15 → 348

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2))
3.0ms	x	@	-inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2))
2.0ms	a	@	0	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2))
2.0ms	x	@	inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2))
2.0ms	a	@	inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2))

simplify222.0ms (4%)

Memory

25.1MiB live, 182.1MiB allocated

Algorithm

1×	egg-herbie

Rules

19 298×	`lower-fma.f64`
19 298×	`lower-fma.f32`
4 228×	`lower-*.f64`
4 228×	`lower-*.f32`
3 792×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	2912
1	647	2884
2	1994	2820
3	3937	2816
0	8319	2452

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 346

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

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

rewrite224.0ms (4.1%)

Memory

21.2MiB live, 248.2MiB allocated

Rules

10 116×	`lower-fma.f32`
10 110×	`lower-fma.f64`
6 430×	`lower-*.f32`
6 416×	`lower-*.f64`
3 666×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	136
0	40	130
1	144	130
2	844	130
0	8304	130

Stop Event

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

Counts

15 → 621

Calls

Call 1

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

Outputs
(.f64 (/.f64 (expm1.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)))
(.f64 (/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)))
(.f64 (/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (exp.f64 a) x) (expm1.f64 (.f64 a x)))))
(.f64 (/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) x)))
(.f64 (/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 4 binary64)) (.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) (-.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x)))))
(.f64 (/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))) (expm1.f64 (.f64 a x)))
(.f64 (+.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (expm1.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x)))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (expm1.f64 (.f64 a x)))
(.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))))
(.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (expm1.f64 (.f64 (*.f64 a x) #s(literal 3 binary64))))
(.f64 (neg.f64 (expm1.f64 (.f64 (*.f64 a x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (exp.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 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)))))
(.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) (.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (expm1.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(.f64 (expm1.f64 (.f64 (*.f64 a x) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 3 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))))))
(/.f64 (.f64 (expm1.f64 (.f64 (*.f64 a x) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))) (.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)))) (.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.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 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x))) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x)) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))))
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal -1/2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) #s(literal 6 binary64)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (.f64 #s(literal 1/12 binary64) (.f64 a x)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal -1/2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) #s(literal 6 binary64)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) #s(literal 9 binary64)) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (.f64 #s(literal 1/12 binary64) (.f64 a x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 a x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal -1/2 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) a)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))))
(/.f64 (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) a)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x)))))))
(fma.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) #s(literal 2 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x)))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) #s(literal 2 binary64)) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) a))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) a))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) a))

eval136.0ms (2.5%)

Memory: -17.8MiB live, 170.9MiB allocated
Compiler: Compiled 23 384 to 2 620 computations (88.8% saved)

prune99.0ms (1.8%)

Memory

21.2MiB live, 145.5MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 048	3	1 051
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	1 048	9	1 057

Accuracy

100.0%

Counts

1 057 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.4%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	19.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	66.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
✓	67.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
✓	61.6%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	65.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
▶	19.9%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) a) x)) (*.f64 x a)))
✓	66.9%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 101 to 77 computations (23.8% saved)

simplify259.0ms (4.7%)

Memory

8.8MiB live, 165.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

22 426×	`lower-fma.f32`
22 414×	`lower-fma.f64`
5 672×	`lower-+.f64`
5 672×	`lower-+.f32`
5 496×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	366
0	63	366
1	123	366
2	261	366
3	564	366
4	1479	366
5	2690	366
6	4015	366
7	4365	366
8	4391	366
9	4391	366
10	7053	366
11	7053	366
12	7053	366
13	7139	366
14	7139	366
0	8701	349

Stop Event

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

Calls

Call 1

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

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

localize160.0ms (2.9%)

Memory

-24.2MiB live, 133.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.03125	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a)
accuracy	1.9029539800547384	(fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))
accuracy	21.575110887559138	#s(approx (exp (* a x)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)))
accuracy	29.794242639383235	(-.f64 #s(approx (exp (* a x)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.34765625	(*.f64 #s(literal 1/24 binary64) x)
accuracy	0.5001539722083962	(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x)
accuracy	2.1201256303969354	(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
accuracy	21.775787502750823	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
accuracy	0.046875	(.f64 #s(approx (+ ( (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a)
accuracy	1.9114207708599946	(fma.f64 (.f64 #s(approx (+ ( (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
accuracy	21.132572049414414	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
accuracy	22.094155699833152	#s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64))
accuracy	0.2890625	(.f64 #s(literal 1/6 binary64) (.f64 x a))
accuracy	3.5621381917513117	(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) a) x)
accuracy	21.132572049414414	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) a) x)) (*.f64 x a)))
accuracy	40.709386456723	#s(approx (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) a) x))

Samples

134.0ms

256×

valid

Compiler

Compiled 265 to 36 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-add: 46.0ms (50.2% of total)

ival-mult: 35.0ms (38.2% of total)

const: 7.0ms (7.6% of total)

ival-exp: 2.0ms (2.2% of total)

ival-expm1: 2.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.7%)

Memory

28.5MiB live, 66.3MiB allocated

Counts

19 → 444

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (* (* 1/6 (* x a)) a) x) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (* (+ (* 1/2 (* x a)) 1) a) (* 1/6 (* x a)) (+ (* (* 1/6 x) a) 1/2) (* 1/24 x))
5.0ms	a	@	0	((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (* (* 1/6 (* x a)) a) x) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (* (+ (* 1/2 (* x a)) 1) a) (* 1/6 (* x a)) (+ (* (* 1/6 x) a) 1/2) (* 1/24 x))
3.0ms	a	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (* (* 1/6 (* x a)) a) x) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (* (+ (* 1/2 (* x a)) 1) a) (* 1/6 (* x a)) (+ (* (* 1/6 x) a) 1/2) (* 1/24 x))
3.0ms	x	@	inf	((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (* (* 1/6 (* x a)) a) x) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (* (+ (* 1/2 (* x a)) 1) a) (* 1/6 (* x a)) (+ (* (* 1/6 x) a) 1/2) (* 1/24 x))
3.0ms	a	@	inf	((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (* (* 1/6 (* x a)) a) x) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (* (+ (* 1/2 (* x a)) 1) a) (* 1/6 (* x a)) (+ (* (* 1/6 x) a) 1/2) (* 1/24 x))

simplify257.0ms (4.7%)

Memory

-7.3MiB live, 227.4MiB allocated

Algorithm

1×	egg-herbie

Rules

23 958×	`lower-fma.f64`
23 958×	`lower-fma.f32`
6 614×	`lower-*.f64`
6 614×	`lower-*.f32`
4 588×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	362	4992
1	1242	4920
2	4221	4690
0	8419	4232

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 442

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

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

rewrite224.0ms (4.1%)

Memory

-3.3MiB live, 196.5MiB allocated

Rules

5 370×	`lower-fma.f32`
5 358×	`lower-fma.f64`
5 066×	`lower-*.f32`
5 044×	`lower-*.f64`
4 414×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	307
0	63	307
1	236	307
2	1620	299
0	8408	282

Stop Event

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

Counts

19 → 308

Calls

Call 1

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

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

eval92.0ms (1.7%)

Memory: 6.5MiB live, 124.4MiB allocated
Compiler: Compiled 17 540 to 1 815 computations (89.7% saved)

prune58.0ms (1%)

Memory

10.7MiB live, 87.4MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	748	2	750
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	748	11	759

Accuracy

100.0%

Counts

759 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	19.4%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	5.1%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
▶	4.6%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
✓	19.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	66.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
✓	67.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
✓	61.6%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
✓	65.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
✓	19.9%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) a) x)) (*.f64 x a)))
✓	66.9%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 130 to 100 computations (23.1% saved)

simplify137.0ms (2.5%)

Memory

-7.3MiB live, 110.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
cost-diff	0	#s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
cost-diff	704	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)
cost-diff	0	(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
cost-diff	0	#s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))

Rules

9 470×	`lower-fma.f32`
9 468×	`lower-fma.f64`
4 490×	`lower-*.f32`
4 476×	`lower-*.f64`
1 728×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	239
0	39	239
1	71	239
2	124	239
3	236	239
4	338	234
5	384	234
6	719	234
7	2780	234
8	4391	234
9	5460	234
10	6395	234
11	7262	234
0	8036	217

Stop Event

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

Calls

Call 1

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

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

localize64.0ms (1.2%)

Memory

14.2MiB live, 52.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	13.492722419872765	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)
accuracy	21.575110887559138	#s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))
accuracy	29.794242639383235	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
accuracy	40.785000600029385	#s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
accuracy	8.092261150923063	(.f64 (.f64 a a) x)
accuracy	21.575110887559138	#s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)))
accuracy	29.794242639383235	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
accuracy	40.702029152012514	#s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))

Samples

50.0ms

256×

valid

Compiler

Compiled 119 to 25 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 19.0ms (66.2% of total)

ival-add: 3.0ms (10.5% of total)

ival-div: 2.0ms (7% of total)

ival-exp: 2.0ms (7% of total)

ival-expm1: 2.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.6%)

Memory

-8.9MiB live, 35.7MiB allocated

Counts

9 → 216

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (* (* (* (* a a) x) 1/2) x) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (* (* a a) x))
2.0ms	a	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (* (* (* (* a a) x) 1/2) x) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (* (* a a) x))
1.0ms	x	@	inf	((- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (* (* (* (* a a) x) 1/2) x) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (* (* a a) x))
1.0ms	a	@	0	((- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (* (* (* (* a a) x) 1/2) x) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (* (* a a) x))
1.0ms	x	@	0	((- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (* (* (* (* a a) x) 1/2) x) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (* (* a a) x))

simplify499.0ms (9.1%)

Memory

-22.8MiB live, 166.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 526×	`lower-fma.f64`
16 526×	`lower-fma.f32`
4 442×	`lower-*.f64`
4 442×	`lower-*.f32`
1 332×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	1744
1	346	1744
2	961	1728
3	2359	1728
4	5944	1728
0	8272	1538

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 214

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

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

rewrite158.0ms (2.9%)

Memory

7.9MiB live, 205.2MiB allocated

Rules

8 472×	`lower-fma.f32`
8 470×	`lower-fma.f64`
5 078×	`lower-*.f32`
5 064×	`lower-*.f64`
3 616×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	195
0	39	195
1	135	195
2	889	187
0	8709	175

Stop Event

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

Counts

9 → 176

Calls

Call 1

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

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

eval53.0ms (1%)

Memory: -14.7MiB live, 100.4MiB allocated
Compiler: Compiled 9 848 to 806 computations (91.8% saved)

prune32.0ms (0.6%)

Memory

-0.5MiB live, 77.6MiB allocated

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	388	2	390
Fresh	0	0	0
Picked	0	2	2
Done	0	9	9
Total	388	13	401

Accuracy

100.0%

Counts

401 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	19.4%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
	5.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)))) a))) #s(literal 1 binary64))
✓	5.1%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
	2.8%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))) #s(literal 1 binary64))
✓	4.6%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
✓	19.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	66.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
✓	67.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
✓	61.6%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
✓	65.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
✓	19.9%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) a) x)) (*.f64 x a)))
✓	66.9%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 330 to 196 computations (40.6% saved)

regimes23.0ms (0.4%)

Memory

9.9MiB live, 49.0MiB allocated

Counts

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

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

Calls

5 calls:

5.0ms	x
5.0ms	a
5.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms	(*.f64 a x)
4.0ms	(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 15 to 17 computations (-13.3% saved)

regimes22.0ms (0.4%)

Memory

-3.7MiB live, 41.8MiB allocated

Counts

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
69.1%	2	`a`
67.0%	1	`x`
68.8%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
68.8%	2	`(exp.f64 (*.f64 a x))`
68.8%	2	`(*.f64 a x)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes46.0ms (0.8%)

Memory

-22.2MiB live, 16.6MiB 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 x a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) a) x)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))

Outputs

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

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

Calls

4 calls:

35.0ms	(*.f64 a x)
4.0ms	a
3.0ms	(exp.f64 (*.f64 a x))
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
67.0%	1	`(*.f64 a x)`
67.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
67.0%	1	`(exp.f64 (*.f64 a x))`
68.7%	2	`a`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes8.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	a
3.0ms	x

Results

Accuracy	Segments	Branch
67.0%	1	`x`
67.0%	1	`a`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes15.0ms (0.3%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
66.9%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
66.9%	1	`(exp.f64 (*.f64 a x))`
66.9%	1	`(*.f64 a x)`
66.9%	1	`a`
66.9%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes6.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB 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:

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

Results

Accuracy	Segments	Branch
19.0%	1	`a`
19.0%	1	`x`
19.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
19.0%	1	`(exp.f64 (*.f64 a x))`
19.0%	1	`(*.f64 a x)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch7.0ms (0.1%)

Memory

-29.9MiB live, 8.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	-2.8580089785852402e+249	-1.4429120027494607e+249

Samples

3.0ms

64×

valid

Compiler

Compiled 145 to 117 computations (19.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-expm1: 2.0ms (95.7% of total)

ival-mult: 1.0ms (47.8% of total)

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

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

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.8580089785852402e+249	-1.4429120027494607e+249

Compiler

Compiled 137 to 113 computations (17.5% saved)

simplify25.0ms (0.5%)

Memory

19.0MiB live, 54.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
8×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	164
1	58	164
2	64	164
3	67	164
4	70	164
5	75	164

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
(if (<=.f64 a #s(literal -2700000000000000184406080953661184573534664523713754186436780159988303858089942455419771905972928519614670962035396782807668350608480895906680430886636952948121018333152072958479486389493175494375862522191044475549518956691183912709986133772569935872 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)))) a))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a))))
(if (<=.f64 a #s(literal -2700000000000000184406080953661184573534664523713754186436780159988303858089942455419771905972928519614670962035396782807668350608480895906680430886636952948121018333152072958479486389493175494375862522191044475549518956691183912709986133772569935872 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a))))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(expm1.f64 (*.f64 x a))
(expm1.f64 (*.f64 a x))
(if (<=.f64 a #s(literal -2700000000000000184406080953661184573534664523713754186436780159988303858089942455419771905972928519614670962035396782807668350608480895906680430886636952948121018333152072958479486389493175494375862522191044475549518956691183912709986133772569935872 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)))) a))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a))))
(if (<=.f64 a #s(literal -2700000000000000184406080953661184573534664523713754186436780159988303858089942455419771905972928519614670962035396782807668350608480895906680430886636952948121018333152072958479486389493175494375862522191044475549518956691183912709986133772569935872 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)))) a))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 a x))))
(if (<=.f64 a #s(literal -2700000000000000184406080953661184573534664523713754186436780159988303858089942455419771905972928519614670962035396782807668350608480895906680430886636952948121018333152072958479486389493175494375862522191044475549518956691183912709986133772569935872 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a))))
(if (<=.f64 a #s(literal -2700000000000000184406080953661184573534664523713754186436780159988303858089942455419771905972928519614670962035396782807668350608480895906680430886636952948121018333152072958479486389493175494375862522191044475549518956691183912709986133772569935872 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 a x))))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 a x)))
#s(approx (- (exp (* a x)) 1) (*.f64 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))

soundness1.2s (22.6%)

Memory

-8.6MiB live, 461.3MiB allocated

Rules

23 958×	`lower-fma.f64`
23 958×	`lower-fma.f32`
19 298×	`lower-fma.f64`
19 298×	`lower-fma.f32`
8 560×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	2912
1	647	2884
2	1994	2820
3	3937	2816
0	8319	2452
0	6	13
0	9	13
1	30	13
2	152	13
0	1346	11
0	362	4992
1	1242	4920
2	4221	4690
0	8419	4232
0	27	195
0	39	195
1	135	195
2	889	187
0	8709	175
0	63	432
1	195	432
2	526	424
3	1045	424
4	1672	424
5	1873	424
6	1900	424
7	1920	424
8	1934	424
9	1937	424
10	1937	424
11	2619	420
12	3094	420
13	4061	420
14	4062	420
15	4062	420
16	4190	420
17	4190	420
18	6071	416
19	6279	416
20	6321	416
21	6335	416
22	6335	416
23	6511	416
24	6849	416
25	6849	416
26	7408	416
0	7408	360

Stop Event

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

Compiler

Compiled 144 to 78 computations (45.8% saved)

preprocess87.0ms (1.6%)

Memory: 27.3MiB live, 107.3MiB allocated
Remove: (sort a x)
Compiler: Compiled 256 to 120 computations (53.1% 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%)

analyze21.0ms (0.4%)

sample614.0ms (11.2%)

explain66.0ms (1.2%)

preprocess18.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize17.0ms (0.3%)

series9.0ms (0.2%)

simplify212.0ms (3.9%)

rewrite60.0ms (1.1%)

eval37.0ms (0.7%)

prune19.0ms (0.4%)

simplify39.0ms (0.7%)

localize64.0ms (1.2%)

series76.0ms (1.4%)

simplify222.0ms (4%)

rewrite224.0ms (4.1%)

eval136.0ms (2.5%)

prune99.0ms (1.8%)

simplify259.0ms (4.7%)

localize160.0ms (2.9%)

series38.0ms (0.7%)

simplify257.0ms (4.7%)

rewrite224.0ms (4.1%)

eval92.0ms (1.7%)

prune58.0ms (1%)

simplify137.0ms (2.5%)

localize64.0ms (1.2%)

series33.0ms (0.6%)

simplify499.0ms (9.1%)

rewrite158.0ms (2.9%)

eval53.0ms (1%)

prune32.0ms (0.6%)

regimes23.0ms (0.4%)

regimes22.0ms (0.4%)

regimes46.0ms (0.8%)

regimes8.0ms (0.1%)

regimes15.0ms (0.3%)

regimes6.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch1.0ms (0%)

simplify25.0ms (0.5%)

soundness1.2s (22.6%)

preprocess87.0ms (1.6%)

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