Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze17.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample533.0ms (6.4%)

Memory

15.0MiB live, 599.5MiB allocated

Samples

327.0ms	8 256×	0	valid
11.0ms	280×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-mult: 67.0ms (44.2% of total)

ival-expm1: 54.0ms (35.6% of total)

ival->: 20.0ms (13.2% of total)

exact: 7.0ms (4.6% of total)

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

Bogosity

explain70.0ms (0.8%)

Memory

-10.3MiB live, 71.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	140	1

Confusion

	Predicted +	Predicted -
+	140	0
-	0	116

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	140	0	0
-	0	1	115

Precision?

0.9929078014184397

Recall?

1.0

Freqs

test

number	freq
0	116
1	140

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

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

ival-exp: 4.0ms (35% of total)

ival-mult: 4.0ms (35% of total)

ival-expm1: 3.0ms (26.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess17.0ms (0.2%)

Memory

16.8MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune6.0ms (0.1%)

Memory

-36.9MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a x)
accuracy	0	(exp.f64 (*.f64 a x))
accuracy	30.93813127805624	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-exp: 2.0ms (36.4% of total)

ival-mult: 2.0ms (36.4% of total)

ival-expm1: 2.0ms (36.4% 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

5.0MiB live, 5.0MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

18 calls:

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

simplify247.0ms (3%)

Memory

-13.0MiB live, 103.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

rewrite72.0ms (0.9%)

Memory

24.4MiB live, 62.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 111

Calls

Call 1

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

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

eval21.0ms (0.3%)

Memory: -11.0MiB live, 27.3MiB allocated
Compiler: Compiled 3 258 to 325 computations (90% saved)

prune23.0ms (0.3%)

Memory

-4.8MiB live, 34.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

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

Accuracy

100.0%

Counts

184 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
▶	21.0%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	18.2%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 a x))
▶	64.6%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
	63.9%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)))
	63.5%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
	68.3%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 192 to 112 computations (41.7% saved)

simplify240.0ms (2.9%)

Memory

14.3MiB live, 211.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

18 690×	`lower-fma.f32`
18 684×	`lower-fma.f64`
2 786×	`lower-*.f32`
2 774×	`lower-*.f64`
2 560×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	163
0	49	154
1	93	154
2	203	154
3	539	154
4	905	154
5	1304	154
6	1454	154
7	2072	154
8	5283	154
0	8249	154

Stop Event

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

Calls

Call 1

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

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

localize70.0ms (0.9%)

Memory

-7.5MiB live, 68.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (*.f64 a x))
accuracy	0.015625	(expm1.f64 (*.f64 a (+.f64 x x)))
accuracy	0.01953125	(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
accuracy	0.03125	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
accuracy	0.4296875	(*.f64 x #s(literal 1/6 binary64))
accuracy	0.9954803105627037	(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
accuracy	6.646468506089532	(.f64 a (.f64 x x))
accuracy	19.489206235367348	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
accuracy	0	(fma.f64 a x #s(literal 1 binary64))
accuracy	20.111677105897286	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
accuracy	30.93813127805624	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	20.732793382585765	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	30.93813127805624	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0	(*.f64 a x)
accuracy	0.0078125	(expm1.f64 (*.f64 a x))

Samples

46.0ms

256×

valid

Compiler

Compiled 149 to 24 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 16.0ms (50.1% of total)

ival-add: 5.0ms (15.7% of total)

const: 4.0ms (12.5% of total)

ival-expm1: 3.0ms (9.4% of total)

ival-div: 2.0ms (6.3% of total)

ival-exp: 2.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory

-10.7MiB live, 26.3MiB allocated

Counts

18 → 408

Calls

Call 1

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

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

Calls

102 calls:

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

simplify660.0ms (8%)

Memory

-35.2MiB live, 362.2MiB allocated

Algorithm

1×	egg-herbie

Rules

25 396×	`lower-fma.f64`
25 396×	`lower-fma.f32`
6 196×	`lower-*.f64`
6 196×	`lower-*.f32`
4 148×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	281	3540
1	911	3434
2	3008	3340
3	7245	3332
0	8361	2936

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 406

Calls

Call 1

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

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

rewrite110.0ms (1.3%)

Memory

29.5MiB live, 105.2MiB allocated

Rules

886×	`lower-fma.f32`
880×	`lower-fma.f64`
726×	`lower-*.f32`
714×	`lower-*.f64`
516×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	138
0	49	129
1	188	129
0	1414	129

Stop Event

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

Counts

18 → 299

Calls

Call 1

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

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

eval84.0ms (1%)

Memory: -3.0MiB live, 152.9MiB allocated
Compiler: Compiled 12 188 to 868 computations (92.9% saved)

prune76.0ms (0.9%)

Memory

14.1MiB live, 137.7MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	722	13	735
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	726	17	743

Accuracy

100.0%

Counts

743 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.7%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) #s(approx (+ (exp ( a x)) 1) (fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 2 binary64))))
	20.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
✓	21.0%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
	20.2%	(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (fma.f64 a (.f64 x (.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
▶	20.6%	(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
	20.6%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64))))) #s(literal 1 binary64))
	20.2%	(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x (.f64 a x)) (-.f64 #s(literal 1 binary64) (.f64 a x)))))) #s(literal 1 binary64))
	20.6%	(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 a (.f64 x (*.f64 a x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
✓	18.2%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	20.7%	(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
✓	100.0%	(expm1.f64 (*.f64 a x))
	63.5%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
▶	68.3%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (*.f64 a x))
▶	69.5%	#s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (*.f64 a x)))
	69.5%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) a))
	63.9%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)))
▶	69.0%	#s(approx (- (exp (* a x)) 1) (.f64 a (+.f64 (+.f64 x (.f64 (.f64 a x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))))) (.f64 (.f64 x (*.f64 a x)) #s(literal 1/2 binary64)))))

Compiler

Compiled 621 to 299 computations (51.9% saved)

simplify188.0ms (2.3%)

Memory

-16.9MiB live, 171.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 a (+.f64 (+.f64 x (.f64 (.f64 a x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))))) (.f64 (.f64 x (*.f64 a x)) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 a (+.f64 (+.f64 x (.f64 (.f64 a x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))))) (.f64 (.f64 x (*.f64 a x)) #s(literal 1/2 binary64)))))
cost-diff	128	(+.f64 x (.f64 (.f64 a x) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 a x)))))
cost-diff	1088	(+.f64 (+.f64 x (.f64 (.f64 a x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))))) (.f64 (.f64 x (.f64 a x)) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 a x #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
cost-diff	0	(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))
cost-diff	2176	(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
cost-diff	0	(fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64))
cost-diff	0	#s(approx (exp (* a x)) (/.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
cost-diff	1728	(/.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))
cost-diff	0	(*.f64 a x)
cost-diff	0	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (*.f64 a x))
cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (*.f64 a x)))
cost-diff	320	(fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (*.f64 a x))

Rules

13 730×	`lower-fma.f32`
13 718×	`lower-fma.f64`
3 460×	`lower-*.f32`
3 442×	`lower-*.f64`
1 746×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	387
0	65	379
1	128	368
2	274	368
3	689	322
4	1319	310
5	2993	301
6	6245	301
0	8248	289

Stop Event

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

Calls

Call 1

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

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

localize175.0ms (2.1%)

Memory

9.7MiB live, 167.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.22265625	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 a x)))
accuracy	0.9954803105627037	(.f64 a (+.f64 (+.f64 x (.f64 (.f64 a x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))))) (.f64 (.f64 x (*.f64 a x)) #s(literal 1/2 binary64))))
accuracy	7.789062500000001	(+.f64 (+.f64 x (.f64 (.f64 a x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))))) (.f64 (.f64 x (.f64 a x)) #s(literal 1/2 binary64)))
accuracy	19.489206235367348	#s(approx (- (exp (* a x)) 1) (.f64 a (+.f64 (+.f64 x (.f64 (.f64 a x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))))) (.f64 (.f64 x (*.f64 a x)) #s(literal 1/2 binary64)))))
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))
accuracy	0.0390625	(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
accuracy	20.111677105897286	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
accuracy	30.95541410974619	(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))
accuracy	1.1980702643343064	(fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64))
accuracy	10.283453374091039	(/.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))
accuracy	20.111677105897286	#s(approx (exp (* a x)) (/.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))))
accuracy	30.93813127805624	(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
accuracy	0	(*.f64 a x)
accuracy	20.31433607951824	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (*.f64 a x))
accuracy	0.140625	(.f64 x (.f64 a x))
accuracy	0.4296875	(*.f64 x #s(literal 1/6 binary64))
accuracy	2.42691673931369	(.f64 a (.f64 x (*.f64 a x)))
accuracy	19.489206235367348	#s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (*.f64 a x)))

Samples

60.0ms	83×	2	valid
44.0ms	83×	1	valid
22.0ms	90×	0	valid

Compiler

Compiled 285 to 38 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 24.0ms (25.4% of total)

adjust: 19.0ms (20.1% of total)

ival-add: 16.0ms (16.9% of total)

ival-exp: 15.0ms (15.9% of total)

ival-expm1: 8.0ms (8.5% of total)

ival-div: 7.0ms (7.4% of total)

const: 4.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series43.0ms (0.5%)

Memory

4.6MiB live, 41.3MiB allocated

Counts

22 → 516

Calls

Call 1

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

Outputs
#s(alt (* a x) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 3) (pow x 3))) (taylor inf a) (#s(alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<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 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a 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 (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a 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 (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 3) (pow x 3))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ a (* 1/2 (* (pow a 2) x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 3) (pow x 3))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<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 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow a 3) (pow x 3))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) (patch (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (+ 1 (exp (* a x)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* a x)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* a x)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* a x)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* a x)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* a x)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 (* a x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* a x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* a x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* a x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* a x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* a x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* a x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* a x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* a x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor inf x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor inf x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor inf x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor inf x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor 0 a) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor 0 a) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor 0 a) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor 0 a) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor inf a) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor inf a) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor inf a) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor inf a) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor -inf a) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor -inf a) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor -inf a) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a (pow x 2))) (taylor -inf a) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) (patch (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a x))) #<representation binary64>) () ())) ())

Calls

129 calls:

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

simplify305.0ms (3.7%)

Memory

29.1MiB live, 295.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 798×	`lower-fma.f64`
14 798×	`lower-fma.f32`
5 270×	`lower-*.f64`
5 270×	`lower-*.f32`
3 904×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	421	5157
1	1405	4861
2	4819	4718
0	8396	4230

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 512

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 (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* 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
(+ 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)))))
(* 1/6 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)
(* a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(* a x)
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))
(* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(* a x)
(* a x)
(* 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
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
-1
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(* (pow a 2) (pow x 2))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
-1
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(* (pow a 2) (pow x 2))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow a 2) (pow x 2))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (+ (* a (- (* 1/2 (+ (* 1/3 (pow x 3)) (pow x 3))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (+ (* a (- (+ (* 1/2 (+ (* 1/3 (pow x 3)) (pow x 3))) (* a (- (* 1/2 (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4))))) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 1/2 (+ (* 1/3 (pow x 3)) (pow x 3))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(* a x)
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))
(* x (+ a (* x (- (+ (* x (- (* 1/2 (+ (* 1/3 (pow a 3)) (pow a 3))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (- (+ (* x (- (+ (* 1/2 (+ (* 1/3 (pow a 3)) (pow a 3))) (* x (- (* 1/2 (+ (* 1/12 (pow a 4)) (+ (* 1/4 (pow a 4)) (* 1/3 (pow a 4))))) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 1/2 (+ (* 1/3 (pow a 3)) (pow a 3))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(* 2 (* a x))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 1/3 (pow x 3)) (pow x 3)))))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 1/3 (pow x 3)) (+ (* a (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4))))) (pow x 3))))))))
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(* 2 (* a x))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 1/3 (pow a 3)) (pow a 3)))))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 1/3 (pow a 3)) (+ (* x (+ (* 1/12 (pow a 4)) (+ (* 1/4 (pow a 4)) (* 1/3 (pow a 4))))) (pow a 3))))))))
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
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))))
x
(* x (+ 1 (* 1/6 (* (pow a 2) (pow x 2)))))
(* x (+ 1 (* 1/6 (* (pow a 2) (pow x 2)))))
(* x (+ 1 (* 1/6 (* (pow a 2) (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (- (* -1/6 (pow a 2)) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (* -1/6 (pow a 2)) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (* -1/6 (pow a 2)) (/ 1 (pow x 2)))))
x
(+ x (* 1/6 (* (pow a 2) (pow x 3))))
(+ x (* 1/6 (* (pow a 2) (pow x 3))))
(+ x (* 1/6 (* (pow a 2) (pow x 3))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
1/2
(+ 1/2 (* -1/4 (* a x)))
(+ 1/2 (* a (- (* -1 (* a (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))
(+ 1/2 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
1/2
(+ 1/2 (* -1/4 (* a x)))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))
(* 1/6 (* a (pow x 2)))

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (fma.f64 (.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(.f64 (.f64 a (.f64 a a)) (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(.f64 a (.f64 (.f64 a a) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 x (*.f64 a a)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(.f64 a (.f64 (.f64 a a) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 x (*.f64 a a)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a a))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(.f64 (.f64 a (.f64 a a)) (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) (/.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) a))) a)) (neg.f64 (.f64 a (.f64 a a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) (/.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) a))) a)) (neg.f64 (.f64 a (.f64 a a))))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (fma.f64 (.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a a))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 a a) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 a a) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 a (*.f64 x x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 a a) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 a (*.f64 x x))))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a a))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
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(fma.f64 a (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) x)
(* x (+ 1 (* 1/6 (* (pow a 2) (pow x 2)))))
(fma.f64 a (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) x)
(* 1/6 (* (pow a 2) (pow x 3)))
(.f64 a (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))
(fma.f64 a (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) x)
(* (pow x 3) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))
(fma.f64 a (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) x)
(* (pow x 3) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))
(fma.f64 a (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) x)
(* 1/6 (* (pow a 2) (pow x 3)))
(.f64 a (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 3) (- (* -1/6 (pow a 2)) (/ 1 (pow x 2)))))
(neg.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a (.f64 a (.f64 x (.f64 x x)))) (neg.f64 x)))
(* -1 (* (pow x 3) (- (* -1/6 (pow a 2)) (/ 1 (pow x 2)))))
(neg.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a (.f64 a (.f64 x (.f64 x x)))) (neg.f64 x)))
(* -1 (* (pow x 3) (- (* -1/6 (pow a 2)) (/ 1 (pow x 2)))))
(neg.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a (.f64 a (.f64 x (.f64 x x)))) (neg.f64 x)))
x
(+ x (* 1/6 (* (pow a 2) (pow x 3))))
(fma.f64 a (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) x)
(+ x (* 1/6 (* (pow a 2) (pow x 3))))
(fma.f64 a (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) x)
(+ x (* 1/6 (* (pow a 2) (pow x 3))))
(fma.f64 a (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) x)
(* 1/6 (* (pow a 2) (pow x 3)))
(.f64 a (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
(.f64 (.f64 a a) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 x (*.f64 a a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
(.f64 (.f64 a a) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 x (*.f64 a a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
(.f64 (.f64 a a) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 x (*.f64 a a))))
(* 1/6 (* (pow a 2) (pow x 3)))
(.f64 a (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
(.f64 (.f64 a a) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 x (*.f64 a a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
(.f64 (.f64 a a) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 x (*.f64 a a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
(.f64 (.f64 a a) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 x (*.f64 a a))))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (fma.f64 (.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 a (fma.f64 a (fma.f64 (.f64 x x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 a (.f64 (.f64 x x) (.f64 x x))) (*.f64 a #s(literal 1/24 binary64)))) x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (fma.f64 (.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a a)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 (.f64 a a) (.f64 a a))))) (.f64 #s(literal 1/2 binary64) (.f64 a a))) a))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (fma.f64 (.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(.f64 (.f64 a (.f64 a a)) (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(.f64 a (.f64 (.f64 a a) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 x (*.f64 a a)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(.f64 a (.f64 (.f64 a a) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 x (*.f64 a a)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a a))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(.f64 (.f64 a (.f64 a a)) (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) (/.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) a))) a)) (neg.f64 (.f64 a (.f64 a a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) (/.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) a))) a)) (neg.f64 (.f64 a (.f64 a a))))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (fma.f64 (.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a a))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 a a) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 a a) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 a (*.f64 x x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 a a) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 a (*.f64 x x))))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a a))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 a a) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (/.f64 a x)) x)) (neg.f64 (.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (/.f64 a x)) x)) (neg.f64 (.f64 x (*.f64 x x))))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* a x)))
(fma.f64 a (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (- (* -1 (* a (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))
(fma.f64 a (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))
(fma.f64 a (fma.f64 a (.f64 (.f64 a (.f64 x (.f64 x x))) #s(literal 1/48 binary64)) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* a x)))
(fma.f64 a (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))
(fma.f64 a (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))
(fma.f64 x (fma.f64 x (.f64 (.f64 a (.f64 a (.f64 a x))) #s(literal 1/48 binary64)) (*.f64 a #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* a (pow x 2)))
(.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 x x)))

rewrite402.0ms (4.9%)

Memory

-2.3MiB live, 477.5MiB allocated

Rules

7 430×	`lower-fma.f32`
7 418×	`lower-fma.f64`
4 828×	`lower-*.f32`
4 810×	`lower-*.f64`
4 568×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	317
0	65	302
1	292	219
2	2359	219
0	9634	211

Stop Event

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

Counts

22 → 805

Calls

Call 1

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

Outputs
(+.f64 (.f64 a x) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)))))
(+.f64 (.f64 a x) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) a))
(+.f64 (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)))) (.f64 a x))
(+.f64 (.f64 a (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) x)) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (*.f64 a x)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (.f64 a x)))) (.f64 a (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 a x))) x)))
(-.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)))))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 (neg.f64 x) a))) (/.f64 (.f64 a (.f64 x (.f64 a x))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 (neg.f64 x) a))))
(-.f64 (/.f64 (.f64 (.f64 a (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) x)) (.f64 a (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) x))) (-.f64 (.f64 a (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) x)) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (.f64 a x)))))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (.f64 a x)))) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (.f64 a x))))) (-.f64 (.f64 a (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) x)) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (.f64 a x)))))))
(-.f64 (/.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 (.f64 a x) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)))))) (-.f64 (.f64 a x) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)))))))
(fma.f64 a x (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))))
(fma.f64 a x (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a))
(fma.f64 a (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) x) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (.f64 a x)))))
(fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a x))) (.f64 a (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) x)))
(fma.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (*.f64 a x))
(fma.f64 a (.f64 x #s(literal 1 binary64)) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)))))
(fma.f64 a (.f64 x #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) a))
(fma.f64 a (log.f64 (exp.f64 x)) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))))
(fma.f64 a (log.f64 (exp.f64 x)) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a))
(fma.f64 x a (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))))
(fma.f64 x a (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a))
(fma.f64 x (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a) (.f64 a (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) x)))
(fma.f64 x (.f64 a #s(literal 1 binary64)) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)))))
(fma.f64 x (.f64 a #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) a))
(fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (.f64 a x))) (.f64 a (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) x)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (*.f64 a x))
(fma.f64 (.f64 a x) #s(literal 1 binary64) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 a x) #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) a))
(fma.f64 (.f64 a x) (.f64 #s(literal 1/2 binary64) (.f64 a x)) (.f64 a (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) x)))
(fma.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (*.f64 a x))
(fma.f64 (.f64 x (.f64 a x)) (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (*.f64 a x))
(fma.f64 (.f64 x (.f64 a x)) (.f64 #s(literal 1/2 binary64) a) (.f64 a (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) x)))
(fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/2 binary64) (.f64 a (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) x)))
(fma.f64 (.f64 a (.f64 x (.f64 a x))) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (*.f64 a x))
(fma.f64 #s(literal 1 binary64) (.f64 a x) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 a x) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) a))
(fma.f64 (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) x) a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (.f64 a x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a x))) a (.f64 a (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) x)))
(fma.f64 (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (.f64 x (.f64 a x)) (*.f64 a x))
(fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 a x)) (.f64 a x) (*.f64 a x))
(fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 x (.f64 a x))) a (*.f64 a x))
(fma.f64 (.f64 (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) x) (.f64 a x) (*.f64 a x))
(fma.f64 (.f64 (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (.f64 a x)) x (*.f64 a x))
(fma.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 x (.f64 a x)) (.f64 a (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))) (.f64 (.f64 a x) (-.f64 (.f64 a x) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))) (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 (neg.f64 x) a)) (.f64 (.f64 a (fma.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (*.f64 (neg.f64 x) a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))) (.f64 (.f64 a x) (-.f64 (.f64 a x) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))) (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 (neg.f64 x) a)) (.f64 (.f64 a (fma.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (*.f64 (neg.f64 x) a))))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))) (.f64 (.f64 a x) (-.f64 (.f64 a x) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))))))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))))) (fma.f64 a (.f64 x (.f64 a x)) (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)))))) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x))))))))
(/.f64 (.f64 (.f64 a (fma.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 (neg.f64 x) a))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (*.f64 (neg.f64 x) a)))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))) (.f64 (.f64 a x) (-.f64 (.f64 a x) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))))))))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))))) (neg.f64 (fma.f64 a (.f64 x (.f64 a x)) (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)))))) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x)))))))))
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(/.f64 (fma.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/8 binary64)) (.f64 (.f64 (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) x) (.f64 (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) x) (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) x))) (.f64 a (.f64 a a)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (.f64 a x)))) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 (.f64 (.f64 a (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) x)) (.f64 a (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) x))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (.f64 a x)))) (.f64 a (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 a x))) x))))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))) (.f64 (.f64 a x) (-.f64 (.f64 a x) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))) (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 (neg.f64 x) a)) (.f64 (.f64 a (fma.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (*.f64 (neg.f64 x) a)))) #s(literal -1 binary64))
(.f64 a (fma.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) a)
(.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))) (.f64 (.f64 a x) (-.f64 (.f64 a x) (.f64 a (.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)))))))))
(.f64 (.f64 (.f64 a (fma.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 (neg.f64 x) a))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 (neg.f64 x) a))))
(exp.f64 (.f64 (log.f64 (.f64 a x)) #s(literal 2 binary64)))
(pow.f64 (*.f64 a x) #s(literal 2 binary64))
(.f64 a (.f64 x (*.f64 a x)))
(.f64 x (.f64 a (*.f64 a x)))
(.f64 x (.f64 (*.f64 a x) a))
(.f64 (.f64 a x) (*.f64 a x))
(.f64 (.f64 x (*.f64 a x)) a)
(.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 a (.f64 x (.f64 a x))))
(.f64 (.f64 x x) (*.f64 a a))
(.f64 (.f64 x x) (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 (.f64 a a) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 a (*.f64 a x)) x)
(.f64 (.f64 (*.f64 a x) a) x)
(.f64 a (.f64 x x))
(.f64 x (.f64 a x))
(.f64 (.f64 a x) x)
(.f64 (.f64 x x) a)
(exp.f64 (.f64 (log1p.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))))
(pow.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))) #s(literal -1 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log1p.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #s(literal -1 binary64)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 a x)))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 a x)))
(.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 a x))
(.f64 (.f64 a x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x (*.f64 a x)) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 a x)) x)
(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) a)

eval378.0ms (4.6%)

Memory: 27.7MiB live, 442.5MiB allocated
Compiler: Compiled 60 768 to 2 784 computations (95.4% saved)

prune221.0ms (2.7%)

Memory

-31.3MiB live, 299.8MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1 907	6	1 913
Fresh	7	2	9
Picked	3	2	5
Done	0	3	3
Total	1 917	13	1 930

Accuracy

100.0%

Counts

1 930 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.7%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) #s(approx (+ (exp ( a x)) 1) (fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 2 binary64))))
✓	21.0%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	50.1%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
✓	18.2%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	20.2%	(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ 1 (+ 1 (exp (* a x)))) #s(literal 1/2 binary64)))
✓	100.0%	(expm1.f64 (*.f64 a x))
	68.2%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 a (fma.f64 (.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x)))
✓	68.3%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (*.f64 a x))
✓	69.5%	#s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (*.f64 a x)))
	68.2%	#s(approx (- (exp (* a x)) 1) (fma.f64 #s(approx (+ (* a (* x 1/6)) 1/2) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)))
▶	69.5%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) a))
	69.0%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 x (.f64 a x)) #s(literal 1/2 binary64) (fma.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 a x))) x))))
▶	63.9%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)))

Compiler

Compiled 345 to 180 computations (47.8% saved)

simplify254.0ms (3.1%)

Memory

21.4MiB live, 210.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

13 346×	`lower-fma.f32`
13 324×	`lower-fma.f64`
3 200×	`lower-+.f32`
3 198×	`lower-+.f64`
3 154×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	470
0	91	470
1	197	470
2	503	470
3	1203	470
4	2341	470
5	4963	470
6	5292	470
7	6003	470
8	7258	470
0	8187	462

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

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

localize379.0ms (4.6%)

Memory

-16.5MiB live, 384.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.37890625	(*.f64 a #s(literal 1/6 binary64))
accuracy	0.9720428105627037	(fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 2 binary64))
accuracy	4.501385792268138	(fma.f64 a (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)
accuracy	19.947984291660383	#s(approx (+ (exp (* a x)) 1) (fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 2 binary64)))
accuracy	0.9549235787467764	(.f64 x (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
accuracy	0.9657306421122457	(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
accuracy	4.474651129826308	(fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
accuracy	19.944887472064266	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)))
accuracy	0.0390625	(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ 1 (+ 1 (exp (* a x)))) #s(literal 1/2 binary64)))
accuracy	17.596170884293848	#s(approx (/ 1 (+ 1 (exp (* a x)))) #s(literal 1/2 binary64))
accuracy	20.111677105897286	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
accuracy	30.95541410974619	(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))
accuracy	10.283453374091039	(/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))
accuracy	20.111677105897286	#s(approx (exp (* a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))))
accuracy	20.412379909623876	#s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64))
accuracy	30.93813127805624	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
accuracy	0.09765625	(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
accuracy	0.140625	(.f64 x (.f64 a x))
accuracy	0.9954803105627037	(.f64 (fma.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) a)
accuracy	19.489206235367348	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) a))

Samples

127.0ms	83×	2	valid
102.0ms	83×	1	valid
31.0ms	90×	0	valid

Compiler

Compiled 368 to 53 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 209.0ms

ival-mult: 83.0ms (39.7% of total)

adjust: 62.0ms (29.6% of total)

ival-add: 25.0ms (12% of total)

ival-exp: 16.0ms (7.6% of total)

const: 9.0ms (4.3% of total)

ival-div: 8.0ms (3.8% of total)

ival-expm1: 4.0ms (1.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series46.0ms (0.6%)

Memory

13.8MiB live, 85.7MiB allocated

Counts

27 → 624

Calls

Call 1

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

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

Calls

156 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(* x (* x (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)))
0.0ms	a	@	-inf	(* a (+ (* a (* x (* x (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)))) x))
0.0ms	x	@	-inf	(* a (+ (* a (* x (* x (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)))) x))
0.0ms	a	@	inf	(* a (+ (* a (* x (* x (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)))) x))
0.0ms	x	@	inf	(* a (+ (* a (* x (* x (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)))) x))

simplify358.0ms (4.3%)

Memory

13.4MiB live, 458.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 388×	`lower-fma.f64`
13 388×	`lower-fma.f32`
6 716×	`lower-*.f64`
6 716×	`lower-*.f32`
3 900×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	628	7231
1	2161	6814
2	7347	6796
0	8087	6155

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 618

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)))))
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))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
-1
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(* (pow a 2) (pow x 2))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
-1
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(* (pow a 2) (pow x 2))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow a 2) (pow x 2))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (+ (* a (- (* 1/2 (+ (* 1/3 (pow x 3)) (pow x 3))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (+ (* a (- (+ (* 1/2 (+ (* 1/3 (pow x 3)) (pow x 3))) (* a (- (* 1/2 (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4))))) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 1/2 (+ (* 1/3 (pow x 3)) (pow x 3))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(* a x)
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))
(* x (+ a (* x (- (+ (* x (- (* 1/2 (+ (* 1/3 (pow a 3)) (pow a 3))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (- (+ (* x (- (+ (* 1/2 (+ (* 1/3 (pow a 3)) (pow a 3))) (* x (- (* 1/2 (+ (* 1/12 (pow a 4)) (+ (* 1/4 (pow a 4)) (* 1/3 (pow a 4))))) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 1/2 (+ (* 1/3 (pow a 3)) (pow a 3))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(* 2 (* a x))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 1/3 (pow x 3)) (pow x 3)))))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 1/3 (pow x 3)) (+ (* a (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4))))) (pow x 3))))))))
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(* 2 (* a x))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 1/3 (pow a 3)) (pow a 3)))))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 1/3 (pow a 3)) (+ (* x (+ (* 1/12 (pow a 4)) (+ (* 1/4 (pow a 4)) (* 1/3 (pow a 4))))) (pow a 3))))))))
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))) a)) (* -1/24 (pow x 4)))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 (* a x))))
(* (pow x 2) (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* (pow x 2) (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 4) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(* (pow x 4) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(* 1/2 (pow x 2))
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))
(+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))
(+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(* a x)
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))
(* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(* 2 (* a x))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(* 2 (* a x))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
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 (* -1/4 (* a x)))
(+ 1/2 (* a (- (* -1 (* a (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))
(+ 1/2 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
1/2
(+ 1/2 (* -1/4 (* a x)))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(* 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))))
2
(+ 2 (* a x))
(+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
2
(+ 2 (* a x))
(+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
2
(+ 2 (* a x))
(+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(* 1/6 (* (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)) (+ (* 2 (/ 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) (* 2 (/ 1 a))) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
2
(+ 2 (* a x))
(+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(* 1/6 (* (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)) (+ (* 2 (/ 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) (* 2 (/ 1 x))) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)

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

rewrite388.0ms (4.7%)

Memory

-13.6MiB live, 413.6MiB allocated

Rules

7 334×	`lower-fma.f32`
7 312×	`lower-fma.f64`
4 758×	`lower-*.f32`
4 734×	`lower-*.f64`
3 838×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	398
0	91	384
1	407	376
2	2998	372
0	10587	364

Stop Event

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

Counts

27 → 752

Calls

Call 1

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

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

eval227.0ms (2.7%)

Memory: 10.1MiB live, 284.2MiB allocated
Compiler: Compiled 46 404 to 3 162 computations (93.2% saved)

prune308.0ms (3.7%)

Memory

32.7MiB live, 421.7MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	1 460	4	1 464
Fresh	1	2	3
Picked	2	3	5
Done	0	5	5
Total	1 463	14	1 477

Accuracy

100.0%

Counts

1 477 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.1%	(/.f64 (fma.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64)))
✓	21.0%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	50.1%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
✓	18.2%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	20.2%	(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ 1 (+ 1 (exp (* a x)))) #s(literal 1/2 binary64)))
	19.7%	(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(approx (+ (* a x) 1) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ 1 (+ 1 (exp (* a x)))) #s(literal 1/2 binary64)))
✓	100.0%	(expm1.f64 (*.f64 a x))
	68.2%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 a (fma.f64 (.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x)))
✓	68.3%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (*.f64 a x))
✓	69.5%	#s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (*.f64 a x)))
	68.2%	#s(approx (- (exp (* a x)) 1) (fma.f64 #s(approx (+ (* a (* x 1/6)) 1/2) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)))
	44.6%	#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 (.f64 (fma.f64 a (.f64 x (.f64 x (fma.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) x) (fma.f64 a (.f64 x (.f64 x (fma.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) (neg.f64 x))) a) (fma.f64 a (.f64 x (.f64 x (fma.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) (neg.f64 x))))
✓	69.5%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 x (.f64 a x)) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) a))
	68.8%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 x (.f64 a (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x)))

Compiler

Compiled 806 to 221 computations (72.6% saved)

regimes48.0ms (0.6%)

Memory

5.7MiB live, 79.7MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	x
10.0ms	(*.f64 a x)
9.0ms	a
7.0ms	(exp.f64 (*.f64 a x))
7.0ms	(-.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

-19.9MiB live, 47.8MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

24.0ms	(exp.f64 (*.f64 a x))
8.0ms	x
8.0ms	a
7.0ms	(*.f64 a x)
6.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
83.0%	2	`a`
80.9%	2	`x`
99.2%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
99.2%	2	`(exp.f64 (*.f64 a x))`
99.2%	2	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes23.0ms (0.3%)

Memory

-28.7MiB live, 46.3MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes15.0ms (0.2%)

Memory

34.1MiB live, 34.1MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

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
99.0%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
99.0%	2	`(exp.f64 (*.f64 a x))`
99.0%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes14.0ms (0.2%)

Memory

-5.9MiB live, 31.6MiB allocated

Counts

15 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.0%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
99.0%	2	`(exp.f64 (*.f64 a x))`
99.0%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes17.0ms (0.2%)

Memory

-4.8MiB live, 33.9MiB 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 a x))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(approx (+ (* a x) 1) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ 1 (+ 1 (exp (* a x)))) #s(literal 1/2 binary64)))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 a (fma.f64 (.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x)))
(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ 1 (+ 1 (exp (* a x)))) #s(literal 1/2 binary64)))
#s(approx (- (exp (* a x)) 1) (fma.f64 #s(approx (+ (* a (* x 1/6)) 1/2) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x)))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))

Outputs

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

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

Calls

3 calls:

9.0ms	(exp.f64 (*.f64 a x))
4.0ms	(*.f64 a x)
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
98.6%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
98.6%	2	`(exp.f64 (*.f64 a x))`
98.6%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes12.0ms (0.2%)

Memory

-9.6MiB live, 25.6MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.6%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
98.6%	2	`(exp.f64 (*.f64 a x))`
98.6%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.3%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
97.3%	2	`(exp.f64 (*.f64 a x))`
97.3%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes13.0ms (0.2%)

Memory

-8.7MiB live, 29.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
68.3%	1	`x`
68.3%	1	`a`
68.3%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
68.3%	1	`(exp.f64 (*.f64 a x))`
68.3%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes6.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	a
1.0ms	x
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
18.2%	1	`x`
18.2%	1	`a`
18.2%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
18.2%	1	`(exp.f64 (*.f64 a x))`
18.2%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4735998.574260326	-0.028420397734347957

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4735998.574260326	-0.028420397734347957

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4735998.574260326	-0.028420397734347957

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4735998.574260326	-0.028420397734347957

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	-4735998.574260326	-0.028420397734347957

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4735998.574260326	-0.028420397734347957

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.443017502008569e-5	-1.7218821187068032e-12

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify11.0ms (0.1%)

Memory

-9.3MiB live, 27.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	433
1	91	433
2	98	433
3	106	433
4	107	433

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -4000000 binary64)) (/.f64 (fma.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 x (.f64 a (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x))))
(if (<=.f64 (.f64 a x) #s(literal -4000000 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 x (.f64 a (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x))))
(if (<=.f64 (.f64 a x) #s(literal -4000000 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (*.f64 a x))))
(if (<=.f64 (.f64 a x) #s(literal -4000000 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) a)))
(if (<=.f64 (.f64 a x) #s(literal -4000000 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 #s(approx (+ (* a (* x 1/6)) 1/2) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x))))
(if (<=.f64 (.f64 a x) #s(literal -4000000 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 a (fma.f64 (.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x))))
(if (<=.f64 (.f64 a x) #s(literal -5902958103587057/295147905179352825856 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a x)))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -4000000 binary64)) (/.f64 (fma.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 x (.f64 a (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x))))
(if (<=.f64 (.f64 a x) #s(literal -4000000 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 x (.f64 a (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x))))
(if (<=.f64 (.f64 a x) #s(literal -4000000 binary64)) (+.f64 #s(literal -1 binary64) #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 x (.f64 a (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x))))
(if (<=.f64 (.f64 a x) #s(literal -4000000 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (*.f64 a x))))
(if (<=.f64 (.f64 a x) #s(literal -4000000 binary64)) (+.f64 #s(literal -1 binary64) #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (*.f64 a x))))
(if (<=.f64 (.f64 a x) #s(literal -4000000 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) a)))
(if (<=.f64 (.f64 a x) #s(literal -4000000 binary64)) (+.f64 #s(literal -1 binary64) #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))
(if (<=.f64 (.f64 a x) #s(literal -4000000 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 #s(approx (+ (* a (* x 1/6)) 1/2) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x))))
(if (<=.f64 (.f64 a x) #s(literal -4000000 binary64)) (+.f64 #s(literal -1 binary64) #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(approx (- (exp (* a x)) 1) (fma.f64 #s(approx (+ (* a (* x 1/6)) 1/2) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (.f64 a x))))
(if (<=.f64 (.f64 a x) #s(literal -4000000 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 a (fma.f64 (.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x))))
(if (<=.f64 (.f64 a x) #s(literal -4000000 binary64)) (+.f64 #s(literal -1 binary64) #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (.f64 a (fma.f64 (.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x))))
(if (<=.f64 (.f64 a x) #s(literal -5902958103587057/295147905179352825856 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a x)))
(if (<=.f64 (.f64 a x) #s(literal -5902958103587057/295147905179352825856 binary64)) (+.f64 #s(literal -1 binary64) #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(approx (- (exp (* a x)) 1) (*.f64 a x)))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))

soundness2.0s (24.3%)

Memory

-19.8MiB live, 775.5MiB allocated

Rules

25 396×	`lower-fma.f64`
25 396×	`lower-fma.f32`
14 798×	`lower-fma.f64`
14 798×	`lower-fma.f32`
8 560×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	398
0	91	384
1	407	376
2	2998	372
0	10587	364
0	281	3540
1	911	3434
2	3008	3340
3	7245	3332
0	8361	2936
0	28	138
0	49	129
1	188	129
0	1414	129
0	6	13
0	9	13
1	30	13
2	152	13
0	1346	11
0	421	5157
1	1405	4861
2	4819	4718
0	8396	4230
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×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 634 to 274 computations (56.8% saved)

preprocess64.0ms (0.8%)

Memory: 27.8MiB live, 184.4MiB allocated
Remove: (sort a x)
Compiler: Compiled 552 to 128 computations (76.8% 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	16	36
1	42	36
2	73	34
3	108	34
4	141	34
5	165	34
6	204	34
7	226	34
8	240	34
9	251	34
10	252	34
0	6	6
0	9	6
1	17	6
2	20	6
0	20	4

start0.0ms (0%)

analyze17.0ms (0.2%)

sample533.0ms (6.4%)

explain70.0ms (0.8%)

preprocess17.0ms (0.2%)

eval0.0ms (0%)

prune6.0ms (0.1%)

simplify4.0ms (0.1%)

localize18.0ms (0.2%)

series4.0ms (0.1%)

simplify247.0ms (3%)

rewrite72.0ms (0.9%)

eval21.0ms (0.3%)

prune23.0ms (0.3%)

simplify240.0ms (2.9%)

localize70.0ms (0.9%)

series28.0ms (0.3%)

simplify660.0ms (8%)

rewrite110.0ms (1.3%)

eval84.0ms (1%)

prune76.0ms (0.9%)

simplify188.0ms (2.3%)

localize175.0ms (2.1%)

series43.0ms (0.5%)

simplify305.0ms (3.7%)

rewrite402.0ms (4.9%)

eval378.0ms (4.6%)

prune221.0ms (2.7%)

simplify254.0ms (3.1%)

localize379.0ms (4.6%)

series46.0ms (0.6%)

simplify358.0ms (4.3%)

rewrite388.0ms (4.7%)

eval227.0ms (2.7%)

prune308.0ms (3.7%)

regimes48.0ms (0.6%)

regimes55.0ms (0.7%)

regimes23.0ms (0.3%)

regimes15.0ms (0.2%)

regimes14.0ms (0.2%)

regimes17.0ms (0.2%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

regimes13.0ms (0.2%)

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%)

simplify11.0ms (0.1%)

soundness2.0s (24.3%)

preprocess64.0ms (0.8%)

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