Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze17.0ms (0.2%)

Memory

32.7MiB live, 32.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample875.0ms (11.6%)

Memory

-61.0MiB live, 1 090.1MiB allocated

Samples

621.0ms	8 256×	0	valid
37.0ms	290×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-mult: 72.0ms (41.1% of total)

ival-expm1: 68.0ms (38.8% of total)

ival->: 26.0ms (14.8% of total)

exact: 7.0ms (4% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

explain72.0ms (1%)

Memory

30.4MiB live, 196.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	134	0
`exp.f64`	`(exp.f64 (*.f64 a x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	134	0
-	1	121

Precision

0.9925925925925926

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	0	0
-	1	0	121

Precision?

0.9925925925925926

Recall?

1.0

Freqs

test

number	freq
0	121
1	135

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 5.0ms (38.9% of total)

ival-exp: 4.0ms (31.1% of total)

ival-expm1: 3.0ms (23.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess23.0ms (0.3%)

Memory

-40.7MiB live, 41.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval1.0ms (0%)

Memory: 1.7MiB live, 1.7MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.7%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.3%)

Memory

6.9MiB live, 46.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a x)
accuracy	0.025780909539793468	(exp.f64 (*.f64 a x))
accuracy	30.248140533555972	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

13.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (45.7% of total)

ival-exp: 2.0ms (30.5% of total)

ival-expm1: 2.0ms (30.5% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

18 calls:

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

simplify218.0ms (2.9%)

Memory

13.2MiB live, 89.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

Outputs
(* a x)
(*.f64 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))
(- (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))
(* 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))
(- (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
#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))
(exp.f64 (*.f64 x a))
(exp (* a x))
(exp.f64 (*.f64 x a))
(exp (* a x))
(exp.f64 (*.f64 x a))
(exp (* a x))
(exp.f64 (*.f64 x a))
(exp (* a x))
(exp.f64 (*.f64 x a))
(exp (* a x))
(exp.f64 (*.f64 x a))
(exp (* a x))
(exp.f64 (*.f64 x a))
(exp (* a x))
(exp.f64 (*.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))
(exp.f64 (*.f64 x a))
(exp (* a x))
(exp.f64 (*.f64 x a))
(exp (* a x))
(exp.f64 (*.f64 x a))
(exp (* a x))
(exp.f64 (*.f64 x a))
(exp (* a x))
(exp.f64 (*.f64 x a))
(exp (* a x))
(exp.f64 (*.f64 x a))
(exp (* a x))
(exp.f64 (*.f64 x a))
(exp (* a x))
(exp.f64 (*.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)
(*.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)
(*.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)
(*.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)
(*.f64 x a)
(* a x)
(*.f64 x a)
(* a x)
(*.f64 x a)
(* a x)
(*.f64 x a)
(* a x)
(*.f64 x a)

rewrite76.0ms (1%)

Memory

1.9MiB live, 81.5MiB 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))
(exp.f64 (*.f64 a x))
(*.f64 a x)

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

eval23.0ms (0.3%)

Memory: -2.5MiB live, 36.3MiB allocated
Compiler: Compiled 3 258 to 323 computations (90.1% saved)

prune27.0ms (0.4%)

Memory

2.1MiB live, 40.0MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

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

Accuracy

100.0%

Counts

184 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.3%	(-.f64 #s(approx (exp (* a x)) (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))) #s(literal 1 binary64))
▶	20.9%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	22.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	20.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
	68.6%	#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)))
	69.5%	#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)))
	62.3%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
	68.8%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 236 to 136 computations (42.4% saved)

simplify52.0ms (0.7%)

Memory

-16.0MiB live, 23.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	212
0	49	212
1	87	212
2	146	212
3	310	212
4	700	212
5	1433	212
6	1669	212
7	1739	212
8	1811	212
9	1951	212
10	2061	212
11	2061	212
12	2061	212
13	2212	212
0	2212	212

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

localize86.0ms (1.1%)

Memory

14.2MiB live, 128.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.3359375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	2.3763301894568407	(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	19.905216979194186	#s(approx (exp (* a x)) (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)))
accuracy	30.248140533555972	(-.f64 #s(approx (exp (* a x)) (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))) #s(literal 1 binary64))
accuracy	2.387578695380082	(fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
accuracy	6.515277496950677	(.f64 (.f64 a a) x)
accuracy	19.92993809646303	#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
accuracy	30.248140533555972	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0	(fma.f64 x a #s(literal 1 binary64))
accuracy	20.100486700886425	#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
accuracy	30.248140533555972	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	20.38735403770335	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	30.248140533555972	(-.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

55.0ms

256×

valid

Compiler

Compiled 155 to 27 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 17.0ms (49.2% of total)

ival-add: 7.0ms (20.2% of total)

const: 6.0ms (17.4% of total)

ival-expm1: 3.0ms (8.7% of total)

ival-exp: 2.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.4%)

Memory

-1.0MiB live, 46.5MiB allocated

Counts

17 → 396

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

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

Calls

99 calls:

Time	Variable		Point	Expression
8.0ms	a	@	0	(+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1)
1.0ms	a	@	inf	(+ (* (+ (* (* (* a a) x) 1/2) a) x) 1)
0.0ms	a	@	-inf	(+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1)
0.0ms	x	@	-inf	(+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1)
0.0ms	a	@	inf	(+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1)

simplify204.0ms (2.7%)

Memory

2.7MiB live, 157.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 362×	`lower-fma.f64`
15 362×	`lower-fma.f32`
4 610×	`lower-*.f64`
4 610×	`lower-*.f32`
2 262×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	3108
1	707	3103
2	2336	3003
3	6158	2990
0	8477	2591

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 394

Calls

Call 1

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

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

rewrite179.0ms (2.4%)

Memory

20.3MiB live, 247.1MiB allocated

Rules

5 054×	`lower-*.f32`
5 044×	`lower-*.f64`
4 592×	`lower-fma.f32`
4 580×	`lower-fma.f64`
4 090×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	177
0	49	177
1	209	177
2	1532	177
0	8086	177

Stop Event

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

Counts

17 → 405

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

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

eval149.0ms (2%)

Memory: -24.2MiB live, 128.9MiB allocated
Compiler: Compiled 25 528 to 1 564 computations (93.9% saved)

prune197.0ms (2.6%)

Memory

16.8MiB live, 144.9MiB allocated

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	826	14	840
Fresh	2	2	4
Picked	1	4	5
Done	0	0	0
Total	829	20	849

Accuracy

100.0%

Counts

849 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.6%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
	21.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
✓	22.3%	(-.f64 #s(approx (exp (* a x)) (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))) #s(literal 1 binary64))
	21.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	22.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	22.5%	(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 (.f64 a a) x) x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
	22.3%	(-.f64 #s(approx (exp (* a x)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) (fma.f64 a x #s(literal -1 binary64))) (.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
	21.9%	(-.f64 #s(approx (exp (* a x)) (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) (.f64 (.f64 (.f64 a a) x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (*.f64 a a) x) x #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
▶	22.0%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 a x))) (fma.f64 (.f64 (.f64 (.f64 a a) x) x) (*.f64 a x) #s(literal 1 binary64))))) #s(literal 1 binary64))
	22.5%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 a a) x) x #s(literal -1 binary64))))) #s(literal 1 binary64))
	22.5%	(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
▶	5.6%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64)) x) x))) #s(literal 1 binary64))
	6.6%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a) a))) #s(literal 1 binary64))
✓	20.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
	65.1%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
	62.3%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	68.8%	#s(approx (- (exp (* x a)) 1) (*.f64 x a))
▶	68.6%	#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)))
▶	69.5%	#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)))

Compiler

Compiled 762 to 365 computations (52.1% saved)

simplify216.0ms (2.9%)

Memory

-10.1MiB live, 104.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 a x))) (fma.f64 (.f64 (.f64 (.f64 a a) x) x) (*.f64 a x) #s(literal 1 binary64)))))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 a x))) (fma.f64 (.f64 (.f64 (.f64 a a) x) x) (*.f64 a x) #s(literal 1 binary64))))) #s(literal 1 binary64))
cost-diff	448	(fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 a x))) (fma.f64 (.f64 (.f64 (.f64 a a) x) x) (*.f64 a x) #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 (.f64 (.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64)) x) x))
cost-diff	0	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64)) x) x)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64)) x) x))) #s(literal 1 binary64))
cost-diff	0	(*.f64 x a)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (*.f64 x a))
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)))

Rules

10 550×	`lower-fma.f32`
10 536×	`lower-fma.f64`
5 218×	`lower-*.f32`
5 186×	`lower-*.f64`
2 080×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	518
0	89	518
1	171	497
2	353	450
3	902	450
4	1894	450
5	4318	450
6	5813	450
0	8857	431

Stop Event

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

Calls

Call 1

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

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

localize170.0ms (2.3%)

Memory

26.8MiB live, 221.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	6.515277496950677	(.f64 (.f64 a a) x)
accuracy	12.305648020119834	(/.f64 (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 a x))) (fma.f64 (.f64 (.f64 (.f64 a a) x) x) (*.f64 a x) #s(literal 1 binary64)))
accuracy	20.100486700886425	#s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 a x))) (fma.f64 (.f64 (.f64 (.f64 a a) x) x) (*.f64 a x) #s(literal 1 binary64)))))
accuracy	30.248140533555972	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 a x))) (fma.f64 (.f64 (.f64 (.f64 a a) x) x) (*.f64 a x) #s(literal 1 binary64))))) #s(literal 1 binary64))
accuracy	0.07421875	(fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64))
accuracy	0.3359375	(*.f64 #s(literal 1/24 binary64) x)
accuracy	0.9143408025985326	(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	20.102778441301837	#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	5.698177011504702	(.f64 (.f64 (.f64 (.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64)) x)
accuracy	19.905216979194186	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64)) x) x)))
accuracy	30.248140533555972	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64)) x) x))) #s(literal 1 binary64))
accuracy	42.80864077566624	#s(approx (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64)) x) x))
accuracy	0	(*.f64 x a)
accuracy	19.953584652153236	#s(approx (- (exp (* x a)) 1) (*.f64 x a))
accuracy	0.08203125	(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
accuracy	0.3359375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	2.3763301894568407	(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	19.5352879464939	#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)))

Samples

115.0ms

256×

valid

Compiler

Compiled 370 to 44 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 32.0ms (53.6% of total)

ival-add: 11.0ms (18.4% of total)

const: 7.0ms (11.7% of total)

ival-div: 3.0ms (5% of total)

ival-expm1: 3.0ms (5% of total)

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

ival-sub: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series52.0ms (0.7%)

Memory

-17.6MiB live, 100.3MiB allocated

Counts

25 → 576

Calls

Call 1

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

Calls

144 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(* (* (* (* (* (* a a) a) x) 1/6) x) x)
2.0ms	x	@	inf	(* (+ (* (* 1/6 x) a) 1/2) a)
2.0ms	x	@	0	(* 1/24 x)
1.0ms	x	@	0	(* (* (* (* (* (* a a) a) x) 1/6) x) x)
1.0ms	a	@	inf	(/ 1 (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)))

simplify194.0ms (2.6%)

Memory

-8.8MiB live, 189.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 852×	`lower-fma.f64`
10 852×	`lower-fma.f32`
7 036×	`lower-*.f64`
7 036×	`lower-*.f32`
2 260×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	523	5754
1	1767	5660
2	5695	5580
0	8687	5090

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

Calls

Call 1

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

rewrite225.0ms (3%)

Memory

23.5MiB live, 293.8MiB allocated

Rules

7 748×	`lower-fma.f32`
7 734×	`lower-fma.f64`
4 166×	`lower-*.f32`
4 134×	`lower-*.f64`
3 472×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	427
0	89	417
1	333	370
2	2270	316
0	8562	303

Stop Event

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

Counts

25 → 591

Calls

Call 1

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

Outputs
#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)) a) x))
(.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)) a) x)
(.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) (*.f64 a #s(literal 1 binary64)))
(.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 (.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)) #s(literal 1 binary64)))
(.f64 (.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 (.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)) a) x) #s(literal 1 binary64))
(.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(literal 1 binary64) (.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)) a) x))
(.f64 x (.f64 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 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)) x))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a)) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)) (-.f64 (.f64 (.f64 (.f64 a a) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)) (.f64 x a)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a)) (fma.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) (-.f64 (.f64 (.f64 (.f64 a a) x) x) (.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) (.f64 x a)))))
(/.f64 (fma.f64 (.f64 (.f64 x a) (.f64 (.f64 a a) x)) x (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) a) a (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a))) (.f64 (.f64 x a) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a))))))
(/.f64 (fma.f64 (.f64 (.f64 x a) (.f64 (.f64 a a) x)) x (pow.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) a) a (-.f64 (.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))) (.f64 (.f64 x a) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.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))) (neg.f64 (fma.f64 (.f64 x a) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (.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))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))))
(/.f64 (neg.f64 (.f64 (.f64 x a) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (.f64 x a) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x a) (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.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 x a) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (.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 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))))
(/.f64 (.f64 (.f64 x a) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64))) (fma.f64 (.f64 x a) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 x a) (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))))
(fma.f64 (.f64 #s(literal 1 binary64) x) a (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)))
(fma.f64 (.f64 #s(literal 1 binary64) x) a (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))
(fma.f64 (.f64 #s(literal 1 binary64) a) x (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)))
(fma.f64 (.f64 #s(literal 1 binary64) a) x (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a) (*.f64 x a))
(fma.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a))
(fma.f64 (.f64 x a) #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)))
(fma.f64 (.f64 x a) #s(literal 1 binary64) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))
(fma.f64 #s(literal 1 binary64) (.f64 x a) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)))
(fma.f64 #s(literal 1 binary64) (.f64 x a) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))
(fma.f64 x a (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a)))
(fma.f64 x a (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))
(fma.f64 a x (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a)))
(fma.f64 a x (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)) (.f64 x a))
(+.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) (.f64 x a))
(+.f64 (.f64 x a) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)))
(+.f64 (.f64 x a) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x a) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))))
(pow.f64 (/.f64 (fma.f64 (.f64 x a) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64))) #s(literal -1 binary64))
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(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) a) (.f64 (.f64 (.f64 (.f64 a a) x) x) a)) (.f64 x x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x a)) (-.f64 #s(literal 1 binary64) (.f64 x a))) (-.f64 #s(literal 1 binary64) (.f64 x a)))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) (.f64 a a)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x a)) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 x a)) (.f64 (.f64 (.f64 a a) x) x)))) (fma.f64 (.f64 (.f64 (.f64 (*.f64 a a) x) x) x) a #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 x a) (.f64 x a) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64)) (.f64 x a))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 x a))) (-.f64 (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1 binary64) (.f64 x a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1 binary64) (*.f64 x a))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) a) (.f64 (.f64 (.f64 (.f64 a a) x) x) a)) (.f64 x x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x a)) (-.f64 #s(literal 1 binary64) (.f64 x a))) (-.f64 #s(literal 1 binary64) (.f64 x a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64)))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) (.f64 a a)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x a)) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 x a)) (.f64 (.f64 (.f64 a a) x) x)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 x a))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 x a))) (-.f64 (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1 binary64) (.f64 x a))))) (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1 binary64) (*.f64 x a))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) a) (.f64 (.f64 (.f64 (.f64 a a) x) x) a)) (.f64 x x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x a)) (-.f64 #s(literal 1 binary64) (.f64 x a))) (-.f64 #s(literal 1 binary64) (.f64 x a))))) (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) (.f64 a a)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x a)) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 x a)) (.f64 (.f64 (.f64 a a) x) x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 x a))))) (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 x a))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (*.f64 a a) x) x) x) a #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 x a))) (-.f64 (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1 binary64) (.f64 x a)))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1 binary64) (.f64 x a))) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) a) (.f64 (.f64 (.f64 (.f64 a a) x) x) a)) (.f64 x x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x a)) (-.f64 #s(literal 1 binary64) (.f64 x a))) (-.f64 #s(literal 1 binary64) (.f64 x a)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) (.f64 a a)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x a)) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 x a)) (.f64 (.f64 (.f64 a a) x) x)))) (fma.f64 (.f64 (.f64 (.f64 (*.f64 a a) x) x) x) a #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 x a))) (-.f64 (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1 binary64) (.f64 x a)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1 binary64) (*.f64 x a)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) a) (.f64 (.f64 (.f64 (.f64 a a) x) x) a)) (.f64 x x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x a)) (-.f64 #s(literal 1 binary64) (.f64 x a))) (-.f64 #s(literal 1 binary64) (.f64 x a)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) (.f64 a a)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x a)) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 x a)) (.f64 (.f64 (.f64 a a) x) x))))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 x a)))) (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 x a)))) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 x a)))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (*.f64 a a) x) x) x) a #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x a #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x a #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 x a))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 x a))) (fma.f64 (.f64 (.f64 (.f64 (*.f64 a a) x) x) x) a #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 x a #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x a #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x a #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) (.f64 (.f64 a a) x)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1 binary64) (.f64 x a))))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x a)) (-.f64 #s(literal 1 binary64) (.f64 x a))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1 binary64) (.f64 x a))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64))))) (/.f64 (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 x a))) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (*.f64 a a) x) x) x) a #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x a #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (fma.f64 (.f64 x a) (.f64 x a) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x a) (fma.f64 (.f64 (.f64 (.f64 (*.f64 a a) x) x) x) a #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) (.f64 (.f64 a a) x)) (-.f64 (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1 binary64) (.f64 x a)))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64)))) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x a)) (-.f64 #s(literal 1 binary64) (.f64 x a))) (-.f64 (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1 binary64) (.f64 x a)))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64)))))
(-.f64 (/.f64 (fma.f64 (.f64 x a) (.f64 x a) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64)))) (/.f64 (.f64 x a) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (*.f64 a a) x) x) x) a #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64)))) (/.f64 (-.f64 (.f64 x a) (.f64 (.f64 (.f64 a a) x) x)) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) (.f64 (.f64 a a) x)) (-.f64 (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1 binary64) (.f64 x a)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x a)) (-.f64 #s(literal 1 binary64) (.f64 x a))) (-.f64 (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1 binary64) (.f64 x a)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64))))
(-.f64 (/.f64 (fma.f64 (.f64 x a) (.f64 x a) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64))) (/.f64 (.f64 x a) (fma.f64 (.f64 (.f64 (.f64 (*.f64 a a) x) x) x) a #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64))) (/.f64 (-.f64 (.f64 x a) (.f64 (.f64 (.f64 a a) x) x)) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (neg.f64 (log1p.f64 (.f64 x a))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (*.f64 x a))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 x a)) #s(literal -1 binary64)))
(.f64 (.f64 x a) a)
(.f64 (.f64 a a) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 x a))

eval166.0ms (2.2%)

Memory: 11.1MiB live, 231.0MiB allocated
Compiler: Compiled 41 442 to 2 732 computations (93.4% saved)

prune241.0ms (3.2%)

Memory

-7.6MiB live, 280.4MiB allocated

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	1 313	5	1 318
Fresh	8	3	11
Picked	2	3	5
Done	0	4	4
Total	1 323	15	1 338

Accuracy

100.0%

Counts

1 338 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	22.3%	(-.f64 #s(approx (exp (* a x)) (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))) #s(literal 1 binary64))
	21.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	22.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	51.5%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 x) x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))))) #s(literal 1 binary64))
	51.9%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (*.f64 a a) x (neg.f64 a)) x #s(literal 1 binary64))))) #s(literal 1 binary64))
▶	51.4%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (neg.f64 x) a #s(literal 1 binary64))))) #s(literal 1 binary64))
✓	20.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	65.1%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
	62.3%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
✓	68.8%	#s(approx (- (exp (* x a)) 1) (*.f64 x a))
▶	69.5%	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a) (*.f64 x a)))
✓	68.6%	#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)))
✓	69.5%	#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)))
▶	68.2%	#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)))

Compiler

Compiled 365 to 196 computations (46.3% saved)

simplify146.0ms (1.9%)

Memory

21.4MiB live, 135.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 x) x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))))) #s(literal 1 binary64))
cost-diff	64	(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 x) x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))
cost-diff	128	(fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 x) x) x) a (*.f64 x x)) a (neg.f64 x))
cost-diff	320	(fma.f64 (.f64 (.f64 (neg.f64 x) x) x) a (*.f64 x x))
cost-diff	0	(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
cost-diff	0	#s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (neg.f64 x) a #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (neg.f64 x) a #s(literal 1 binary64))))
cost-diff	0	#s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (neg.f64 x) a #s(literal 1 binary64)))))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (neg.f64 x) a #s(literal 1 binary64))))) #s(literal 1 binary64))
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 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)
cost-diff	0	(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)
cost-diff	0	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a) (*.f64 x a)))
cost-diff	320	(fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a) (*.f64 x a))

Rules

11 308×	`lower-fma.f32`
11 290×	`lower-fma.f64`
4 560×	`lower-*.f32`
4 536×	`lower-*.f64`
2 942×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	654
0	91	654
1	191	650
2	400	570
3	1038	570
4	1877	570
5	3555	570
6	5474	565
0	8401	537

Stop Event

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

Calls

Call 1

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

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

localize143.0ms (1.9%)

Memory

6.3MiB live, 159.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.193085760383133	(fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 x) x) x) a (*.f64 x x)) a (neg.f64 x))
accuracy	20.01639436628765	#s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 x) x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64)))
accuracy	20.100486700886425	#s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 x) x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64)))))
accuracy	30.248140533555972	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 x) x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))))) #s(literal 1 binary64))
accuracy	0.9185256188689419	(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
accuracy	1.1664204433639054	(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
accuracy	5.157797718555599	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
accuracy	19.5352879464939	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
accuracy	0.0859375	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (neg.f64 x) a #s(literal 1 binary64))))
accuracy	20.100486700886425	#s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (neg.f64 x) a #s(literal 1 binary64)))))
accuracy	20.235886828748438	#s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (neg.f64 x) a #s(literal 1 binary64)))
accuracy	30.248140533555972	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (neg.f64 x) a #s(literal 1 binary64))))) #s(literal 1 binary64))
accuracy	0.05859375	(.f64 #s(approx (+ ( (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a)
accuracy	2.3763301894568407	(fma.f64 (.f64 #s(approx (+ ( (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
accuracy	19.5352879464939	#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	20.774910095779074	#s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64))
accuracy	0.08203125	(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
accuracy	0.3359375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	2.3958614394568407	(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)
accuracy	19.5352879464939	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a) (*.f64 x a)))

Samples

85.0ms

256×

valid

Compiler

Compiled 400 to 49 computations (87.8% saved)

Precisions

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

ival-mult: 38.0ms (59.2% of total)

ival-add: 12.0ms (18.7% of total)

ival-div: 3.0ms (4.7% of total)

ival-expm1: 3.0ms (4.7% of total)

const: 3.0ms (4.7% of total)

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

ival-sub: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series43.0ms (0.6%)

Memory

10.8MiB live, 47.9MiB allocated

Counts

25 → 588

Calls

Call 1

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

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

Calls

147 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a)
3.0ms	a	@	-inf	(+ (* (+ (* (+ (* (* (* (neg x) x) x) a) (* x x)) a) (neg x)) a) 1)
0.0ms	x	@	inf	(+ (* (* (* (neg x) x) x) a) (* x x))
0.0ms	a	@	-inf	(* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a)
0.0ms	a	@	0	(+ (* (* (* (neg x) x) x) a) (* x x))

simplify165.0ms (2.2%)

Memory

-4.8MiB live, 149.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 100×	`lower-fma.f64`
8 100×	`lower-fma.f32`
6 126×	`lower-*.f64`
6 126×	`lower-*.f32`
2 420×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	430	6384
1	1521	6137
2	4931	6059
0	8342	5538

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 586

Calls

Call 1

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

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

rewrite229.0ms (3%)

Memory

13.2MiB live, 240.1MiB allocated

Rules

9 628×	`lower-fma.f32`
9 610×	`lower-fma.f64`
4 748×	`lower-*.f32`
4 724×	`lower-*.f64`
3 712×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	548
0	91	548
1	400	476
2	2748	386
0	10090	369

Stop Event

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

Counts

25 → 546

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)) a) x) a) (/.f64 (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))) (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)) a) x)
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)) x) a)
(.f64 (fma.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)) (.f64 a x))
(.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)) a) x) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 x x)) (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) a) (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (.f64 a x)) (.f64 (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) a) (.f64 (.f64 a x) (-.f64 (.f64 a x) (.f64 (.f64 (.f64 x x) a) (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)))))))
(.f64 (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) a)
(.f64 (.f64 a x) (fma.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)))
(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))
(pow.f64 (/.f64 (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)) a) x) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) a) (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (.f64 a x)) (.f64 (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) a) (.f64 (.f64 a x) (-.f64 (.f64 a x) (.f64 (.f64 (.f64 x x) a) (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 x x)) (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (.f64 (.f64 a (.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))) a)) (neg.f64 (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 x x)) (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) x)) a)) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a) (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (.f64 (.f64 (.f64 x x) x) x) (.f64 x (-.f64 x (.f64 (.f64 a (.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (.f64 a (.f64 (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))))) (neg.f64 (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 a (fma.f64 (.f64 (.f64 (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 x x)) (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a) (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (.f64 (.f64 (.f64 x x) x) x) (.f64 x (-.f64 x (.f64 (.f64 a (.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 a a) x) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) a) (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (.f64 a x)) (.f64 (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) a)))) (neg.f64 (-.f64 (.f64 a x) (.f64 (.f64 (.f64 x x) a) (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)) a) x) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x)))))) (neg.f64 (neg.f64 (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) x) x) a (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 x x)) (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) a) (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (.f64 a x)) (.f64 (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) a) (.f64 (.f64 a x) (-.f64 (.f64 a x) (.f64 (.f64 (.f64 x x) a) (.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) a) (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (.f64 a x)) (.f64 (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) a)) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x)))) (.f64 (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))) (.f64 (.f64 (.f64 a a) x) x))) (.f64 (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))) a) (fma.f64 (.f64 a (.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 x x)) (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) x)) a) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a) (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (.f64 (.f64 (.f64 x x) x) x) (.f64 x (-.f64 x (.f64 (.f64 a (.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))))
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(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 a a) a) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))))))
(pow.f64 (/.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)))) (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (*.f64 a a) a) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a #s(literal 1/6 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 a a) a) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 a #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a #s(literal 1/6 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 a a) a) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x)) (.f64 (.f64 (.f64 a #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 a a) a) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 a #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x) #s(literal -1/4 binary64)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 a a) a) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x)) (.f64 (.f64 (.f64 a #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 a a) a) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 a #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)))) (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (*.f64 a a) a) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)))) (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (*.f64 a a) a) #s(literal 1/8 binary64))))
(fma.f64 (*.f64 a #s(literal 1/6 binary64)) 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 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #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))
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a #s(literal 1/6 binary64)) x))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a #s(literal 1/6 binary64)) x))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 a a) x) x)) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 a #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a #s(literal 1/6 binary64)) x))
#s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64))
(.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))))))
#s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64)))))
(.f64 #s(approx (/ (+ ( (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (/ (+ ( (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64)))) #s(literal -1 binary64))))

eval141.0ms (1.9%)

Memory: -2.1MiB live, 193.7MiB allocated
Compiler: Compiled 34 822 to 2 154 computations (93.8% saved)

prune248.0ms (3.3%)

Memory

-3.3MiB live, 310.9MiB allocated

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	1 125	7	1 132
Fresh	0	3	3
Picked	3	2	5
Done	0	7	7
Total	1 128	19	1 147

Accuracy

100.0%

Counts

1 147 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	22.3%	(-.f64 #s(approx (exp (* a x)) (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))) #s(literal 1 binary64))
	21.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	22.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	39.7%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) a (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))))) #s(literal 1 binary64))
	51.9%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (*.f64 a a) x (neg.f64 a)) x #s(literal 1 binary64))))) #s(literal 1 binary64))
	51.9%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (*.f64 (fma.f64 x a #s(literal -1 binary64)) x) a #s(literal 1 binary64))))) #s(literal 1 binary64))
	52.0%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 #s(approx (+ (* (+ (* (* (* (neg x) x) x) a) (* x x)) a) (neg x)) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 a) x) a a) x #s(literal -1 binary64)) x)) a #s(literal 1 binary64))))) #s(literal 1 binary64))
	50.9%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 #s(approx (+ (* (+ (* (* (* (neg x) x) x) a) (* x x)) a) (neg x)) (.f64 (.f64 (.f64 (.f64 (neg.f64 a) x) x) a) x)) a #s(literal 1 binary64))))) #s(literal 1 binary64))
	50.2%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64))
	32.3%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) #s(approx (+ (* (+ (* (+ (* (* (* (neg x) x) x) a) (* x x)) a) (neg x)) a) 1) (.f64 (.f64 (.f64 (.f64 (*.f64 (neg.f64 a) x) x) a) x) a))))) #s(literal 1 binary64))
✓	20.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	65.1%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
	62.3%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
✓	68.8%	#s(approx (- (exp (* x a)) 1) (*.f64 x a))
	68.2%	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x) (.f64 x a) (.f64 x a)))
✓	68.6%	#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)))
✓	69.5%	#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)))
✓	68.2%	#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)))

Compiler

Compiled 908 to 307 computations (66.2% saved)

regimes66.0ms (0.9%)

Memory

18.0MiB live, 92.3MiB allocated

Counts

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

17.0ms	(exp.f64 (*.f64 a x))
17.0ms	a
10.0ms	x
10.0ms	(*.f64 a x)
8.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

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

Compiler

Compiled 25 to 17 computations (32% saved)

regimes55.0ms (0.7%)

Memory

1.5MiB live, 85.5MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

14.0ms	x
12.0ms	(exp.f64 (*.f64 a x))
10.0ms	a
9.0ms	(*.f64 a x)
8.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
81.6%	2	`a`
80.8%	2	`x`
99.8%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
99.8%	2	`(exp.f64 (*.f64 a x))`
99.8%	2	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes24.0ms (0.3%)

Memory

-2.6MiB live, 35.2MiB allocated

Counts

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

Calls

3 calls:

9.0ms	(exp.f64 (*.f64 a x))
7.0ms	(*.f64 a x)
6.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.8%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
99.8%	2	`(exp.f64 (*.f64 a x))`
99.8%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes24.0ms (0.3%)

Memory

-5.0MiB live, 32.5MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

9.0ms	(exp.f64 (*.f64 a x))
7.0ms	(*.f64 a x)
6.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.7%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
99.7%	2	`(exp.f64 (*.f64 a x))`
99.7%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes21.0ms (0.3%)

Memory

-6.7MiB live, 32.0MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

7.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
7.0ms	(*.f64 a x)
6.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
99.7%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
99.7%	2	`(exp.f64 (*.f64 a x))`
99.7%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes18.0ms (0.2%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.7%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
99.7%	2	`(exp.f64 (*.f64 a x))`
99.7%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes29.0ms (0.4%)

Memory

-18.5MiB live, 26.2MiB allocated

Counts

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

Outputs

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

3 calls:

17.0ms	(exp.f64 (*.f64 a x))
6.0ms	(*.f64 a x)
5.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.7%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
99.7%	2	`(exp.f64 (*.f64 a x))`
99.7%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes14.0ms (0.2%)

Memory

19.5MiB live, 19.4MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

3 calls:

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

Results

Accuracy	Segments	Branch
99.6%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
99.6%	2	`(exp.f64 (*.f64 a x))`
99.6%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes14.0ms (0.2%)

Memory

-20.5MiB live, 18.1MiB allocated

Counts

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

Outputs

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

#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)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.3%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
99.3%	2	`(exp.f64 (*.f64 a x))`
99.3%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes11.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB 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 (* x a)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64))
#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))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (neg.f64 x) a #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x) (.f64 x a) (.f64 x a)))

Outputs

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

#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)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.8%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
98.8%	2	`(exp.f64 (*.f64 a x))`
98.8%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes7.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.1%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
98.1%	2	`(exp.f64 (*.f64 a x))`
98.1%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes11.0ms (0.1%)

Memory

-22.0MiB live, 16.8MiB allocated

Counts

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 25 to 17 computations (32% saved)

regimes6.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
20.3%	1	`a`
20.3%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
20.3%	1	`(exp.f64 (*.f64 a x))`
20.3%	1	`(*.f64 a x)`
20.3%	1	`x`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-301.2687886812248	-0.00041114909109881

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-301.2687886812248	-0.00041114909109881

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-301.2687886812248	-0.00041114909109881

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-301.2687886812248	-0.00041114909109881

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-301.2687886812248	-0.00041114909109881

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-301.2687886812248	-0.00041114909109881

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-301.2687886812248	-0.00041114909109881

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-301.2687886812248	-0.00041114909109881

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-301.2687886812248	-0.00041114909109881

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-301.2687886812248	-0.00041114909109881

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify15.0ms (0.2%)

Memory

-23.6MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Rules

60×	`*-commutative_binary64`
30×	`sub-neg_binary64`
28×	`+-commutative_binary64`
24×	`neg-sub0_binary64`
24×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	857
1	147	857
2	167	857
3	196	857
4	215	857
5	233	857
6	242	857
7	245	857
8	246	857

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 #s(approx (+ (* (+ (* (* (* (neg x) x) x) a) (* x x)) a) (neg x)) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 a) x) a a) x #s(literal -1 binary64)) x)) a #s(literal 1 binary64))))) #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))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 #s(approx (+ (* (+ (* (* (* (neg x) x) x) a) (* x x)) a) (neg x)) (.f64 (.f64 (.f64 (.f64 (neg.f64 a) x) x) a) x)) a #s(literal 1 binary64))))) #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))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 #s(approx (+ (* (+ (* (* (* (neg x) x) x) a) (* x x)) a) (neg x)) (.f64 (.f64 (.f64 (.f64 (neg.f64 a) x) x) a) x)) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a) (*.f64 x a))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) #s(approx (+ (* (+ (* (+ (* (* (* (neg x) x) x) a) (* x x)) a) (neg x)) a) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (neg.f64 a) x) x) a) x) a))))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a) (*.f64 x a))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (.f64 a a) x (neg.f64 a)) x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a) (*.f64 x a))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (.f64 a a) x (neg.f64 a)) x #s(literal 1 binary64))))) #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 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (.f64 (fma.f64 x a #s(literal -1 binary64)) x) a #s(literal 1 binary64))))) #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 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (.f64 (fma.f64 x a #s(literal -1 binary64)) x) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #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))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64)) #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))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 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 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 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 #s(approx (+ (* (+ (* (* (* (neg x) x) x) a) (* x x)) a) (neg x)) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 a) x) a a) x #s(literal -1 binary64)) x)) a #s(literal 1 binary64))))) #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))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 #s(approx (+ (* (+ (* (* (* (neg x) x) x) a) (* x x)) a) (neg x)) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 a) x) a a) x #s(literal -1 binary64)) x)) a #s(literal 1 binary64))))) #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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 a x))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 #s(approx (+ (* (+ (* (* (* (neg x) x) x) a) (* x x)) a) (neg x)) (.f64 (.f64 (.f64 (.f64 (neg.f64 a) x) x) a) x)) a #s(literal 1 binary64))))) #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))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 #s(approx (+ (* (+ (* (* (* (neg x) x) x) a) (* x x)) a) (neg x)) (.f64 (.f64 (.f64 (.f64 (neg.f64 a) x) x) a) x)) a #s(literal 1 binary64))))) #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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 a x))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 #s(approx (+ (* (+ (* (* (* (neg x) x) x) a) (* x x)) a) (neg x)) (.f64 (.f64 (.f64 (.f64 (neg.f64 a) x) x) a) x)) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a) (*.f64 x a))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 #s(approx (+ (* (+ (* (* (* (neg x) x) x) a) (* x x)) a) (neg x)) (.f64 (.f64 (.f64 (.f64 (neg.f64 a) x) x) a) x)) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 a x) (*.f64 a x))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) #s(approx (+ (* (+ (* (+ (* (* (* (neg x) x) x) a) (* x x)) a) (neg x)) a) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (neg.f64 a) x) x) a) x) a))))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a) (*.f64 x a))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) #s(approx (+ (* (+ (* (+ (* (* (* (neg x) x) x) a) (* x x)) a) (neg x)) a) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (neg.f64 a) x) x) a) x) a))))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 a x) (*.f64 a x))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (.f64 a a) x (neg.f64 a)) x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a) (*.f64 x a))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (.f64 a a) x (neg.f64 a)) x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 a x) (*.f64 a x))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (.f64 a a) x (neg.f64 a)) x #s(literal 1 binary64))))) #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 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (fma.f64 (.f64 a a) x (neg.f64 a)) x #s(literal 1 binary64))))) #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 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (.f64 (fma.f64 x a #s(literal -1 binary64)) x) a #s(literal 1 binary64))))) #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 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (.f64 (fma.f64 x a #s(literal -1 binary64)) x) a #s(literal 1 binary64))))) #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 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (.f64 (fma.f64 x a #s(literal -1 binary64)) x) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #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))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 (.f64 (fma.f64 x a #s(literal -1 binary64)) x) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #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 a x))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64)) #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))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64)) #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 a x))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 x a)))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* (* a a) x) x) (- 1 (* a x))) (+ (* (* (* (* a a) x) x) (* a x)) 1)) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a x)))
#s(approx (- (exp (* a x)) 1) (*.f64 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))

soundness2.5s (32.7%)

Memory

8.5MiB live, 1 103.0MiB allocated

Rules

10 852×	`lower-fma.f64`
10 852×	`lower-fma.f32`
9 628×	`lower-fma.f32`
9 610×	`lower-fma.f64`
8 560×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	548
0	91	548
1	400	476
2	2748	386
0	10090	369
0	54	427
0	89	417
1	333	370
2	2270	316
0	8562	303
0	430	6384
1	1521	6137
2	4931	6059
0	8342	5538
0	27	177
0	49	177
1	209	177
2	1532	177
0	8086	177
0	6	13
0	9	13
1	30	13
2	152	13
0	1346	11
0	523	5754
1	1767	5660
2	5695	5580
0	8687	5090
0	63	432
1	195	432
2	526	424
3	1050	424
4	1650	424
5	1848	424
6	1875	424
7	1895	424
8	1909	424
9	1912	424
10	1912	424
11	2607	420
12	3082	420
13	4049	420
14	4050	420
15	4050	420
16	4178	420
17	4178	420
18	6095	416
19	6319	416
20	6361	416
21	6375	416
22	6375	416
23	6551	416
24	6889	416
25	6889	416
26	7463	416
0	7463	360

Stop Event

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

Compiler

Compiled 720 to 282 computations (60.8% saved)

preprocess107.0ms (1.4%)

Memory: 11.3MiB live, 165.6MiB allocated
Remove: (sort a x)
Compiler: Compiled 850 to 180 computations (78.8% 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	115	857
1	147	857
2	167	857
3	196	857
4	215	857
5	233	857
6	242	857
7	245	857
8	246	857

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	115	857
1	147	857
2	167	857
3	196	857
4	215	857
5	233	857
6	242	857
7	245	857
8	246	857

start0.0ms (0%)

analyze17.0ms (0.2%)

sample875.0ms (11.6%)

explain72.0ms (1%)

preprocess23.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize19.0ms (0.3%)

series4.0ms (0.1%)

simplify218.0ms (2.9%)

rewrite76.0ms (1%)

eval23.0ms (0.3%)

prune27.0ms (0.4%)

simplify52.0ms (0.7%)

localize86.0ms (1.1%)

series30.0ms (0.4%)

simplify204.0ms (2.7%)

rewrite179.0ms (2.4%)

eval149.0ms (2%)

prune197.0ms (2.6%)

simplify216.0ms (2.9%)

localize170.0ms (2.3%)

series52.0ms (0.7%)

simplify194.0ms (2.6%)

rewrite225.0ms (3%)

eval166.0ms (2.2%)

prune241.0ms (3.2%)

simplify146.0ms (1.9%)

localize143.0ms (1.9%)

series43.0ms (0.6%)

simplify165.0ms (2.2%)

rewrite229.0ms (3%)

eval141.0ms (1.9%)

prune248.0ms (3.3%)

regimes66.0ms (0.9%)

regimes55.0ms (0.7%)

regimes24.0ms (0.3%)

regimes24.0ms (0.3%)

regimes21.0ms (0.3%)

regimes18.0ms (0.2%)

regimes29.0ms (0.4%)

regimes14.0ms (0.2%)

regimes14.0ms (0.2%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify15.0ms (0.2%)

soundness2.5s (32.7%)

preprocess107.0ms (1.4%)

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

Iter	Nodes	Cost
0	115	857
1	147	857
2	167	857
3	196	857
4	215	857
5	233	857
6	242	857
7	245	857
8	246	857