Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze19.0ms (0.2%)

Memory

-13.1MiB live, 23.8MiB 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)

sample749.0ms (8.7%)

Memory

21.9MiB live, 728.0MiB allocated

Samples

445.0ms	8 256×	0	valid
11.0ms	286×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 177.0ms

ival-mult: 81.0ms (45.8% of total)

ival-expm1: 65.0ms (36.8% of total)

ival->: 20.0ms (11.3% of total)

exact: 7.0ms (4% of total)

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

Bogosity

explain114.0ms (1.3%)

Memory

21.6MiB live, 60.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
114	1	(-1.3496177739119153e-294 5.242218584524994e-30)	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	0	-	-	`a`
0	0	-	-	`(exp.f64 (*.f64 a x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 a x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	115	0

Confusion

	Predicted +	Predicted -
+	114	0
-	1	141

Precision

0.991304347826087

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	114	0	0
-	1	0	141

Precision?

0.991304347826087

Recall?

1.0

Freqs

test

number	freq
0	141
1	115

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

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

ival-exp: 4.0ms (35.6% of total)

ival-mult: 4.0ms (35.6% of total)

ival-expm1: 3.0ms (26.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess69.0ms (0.8%)

Memory

-23.0MiB live, 15.2MiB 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)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.0%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.2%)

Memory

15.7MiB live, 15.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a x)
accuracy	0.016288769536884032	(exp.f64 (*.f64 a x))
accuracy	25.607062697276998	(-.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: 6.0ms

ival-exp: 2.0ms (36.3% of total)

ival-mult: 2.0ms (36.3% of total)

ival-expm1: 1.0ms (18.1% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

4.0MiB live, 4.0MiB 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	x	@	inf	(* a x)
0.0ms	a	@	0	(* a x)

simplify253.0ms (3%)

Memory

5.3MiB live, 86.5MiB 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)

rewrite123.0ms (1.4%)

Memory

-17.9MiB live, 99.1MiB 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)

eval58.0ms (0.7%)

Memory: 1.8MiB live, 37.8MiB allocated
Compiler: Compiled 3 258 to 325 computations (90% saved)

prune46.0ms (0.5%)

Memory

12.0MiB live, 49.5MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	173	10	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	174	10	184

Accuracy

100.0%

Counts

184 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
▶	21.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	23.6%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	21.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
	99.9%	(.f64 (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
▶	100.0%	(expm1.f64 (*.f64 a x))
	61.8%	#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)))
▶	60.8%	#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)))
	60.8%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
	63.1%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 258 to 150 computations (41.9% saved)

simplify367.0ms (4.3%)

Memory

-14.5MiB live, 269.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

14 824×	`lower-fma.f32`
14 812×	`lower-fma.f64`
4 364×	`lower-+.f64`
4 364×	`lower-+.f32`
2 582×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	235
0	52	235
1	109	235
2	275	235
3	783	235
4	1972	235
5	3448	235
6	5681	235
7	5700	235
8	5710	235
9	5710	235
10	5710	235
0	8406	235

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

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

localize134.0ms (1.6%)

Memory

-2.0MiB live, 117.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.744899714964302	(.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	1.635774846987009	(.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	2.864215315977563	(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	23.958734949065636	#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	1.2031579255589953	(fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))
accuracy	4.27978662452126	(fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
accuracy	23.82488453103582	#s(approx (exp (* a x)) (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))
accuracy	25.607062697276998	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0	(fma.f64 a x #s(literal 1 binary64))
accuracy	23.968313119115077	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
accuracy	25.607062697276998	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	24.131756664979907	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	25.607062697276998	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0	(*.f64 a x)
accuracy	0.024101269536884032	(expm1.f64 (*.f64 a x))

Samples

81.0ms

256×

valid

Compiler

Compiled 199 to 28 computations (85.9% saved)

Precisions

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

ival-mult: 17.0ms (49.9% of total)

ival-add: 7.0ms (20.5% of total)

const: 6.0ms (17.6% of total)

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

ival-expm1: 2.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.3%)

Memory

33.4MiB live, 33.4MiB allocated

Counts

16 → 384

Calls

Call 1

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

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>) () ())) ())
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#s(alt (* 1/24 (* (pow a 2) (pow x 4))) (taylor inf x) (#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 (* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x)))) (taylor inf x) (#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 (* (pow x 4) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2))))) (taylor inf x) (#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 (* (pow x 4) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2))))) (taylor inf x) (#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 (* 1/24 (* (pow a 2) (pow x 4))) (taylor -inf x) (#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 (* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x)))) (taylor -inf x) (#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 (* (pow x 4) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2)))) (taylor -inf x) (#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 (* (pow x 4) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2)))) (taylor -inf x) (#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 (* 1/2 (pow x 2)) (taylor 0 a) (#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 (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))) (taylor 0 a) (#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 (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))) (taylor 0 a) (#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 (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))) (taylor 0 a) (#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 (* 1/24 (* (pow a 2) (pow x 4))) (taylor inf a) (#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 (* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a)))) (taylor inf a) (#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 (* (pow a 2) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2)))))) (taylor inf a) (#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 (* (pow a 2) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2)))))) (taylor inf a) (#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 (* 1/24 (* (pow a 2) (pow x 4))) (taylor -inf a) (#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 (* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a)))) (taylor -inf a) (#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 (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4)))) (taylor -inf a) (#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 (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4)))) (taylor -inf a) (#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 (* 1/2 x) (taylor 0 x) (#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 (* x (+ 1/2 (* 1/6 (* a x)))) (taylor 0 x) (#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 (* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))) (taylor 0 x) (#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 (* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))) (taylor 0 x) (#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 (* 1/24 (* (pow a 2) (pow x 3))) (taylor inf x) (#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 (* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x)))) (taylor inf x) (#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 (* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2))))) (taylor inf x) (#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 (* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2))))) (taylor inf x) (#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 (* 1/24 (* (pow a 2) (pow x 3))) (taylor -inf x) (#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 (* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#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 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#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 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#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 (* 1/2 x) (taylor 0 a) (#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 (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)) (taylor 0 a) (#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 (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))) (taylor 0 a) (#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 (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))) (taylor 0 a) (#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 (* 1/24 (* (pow a 2) (pow x 3))) (taylor inf a) (#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 (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a)))) (taylor inf a) (#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 (* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2)))))) (taylor inf a) (#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 (* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2)))))) (taylor inf a) (#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 (* 1/24 (* (pow a 2) (pow x 3))) (taylor -inf a) (#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 (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a)))) (taylor -inf a) (#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 (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3)))) (taylor -inf a) (#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 (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3)))) (taylor -inf a) (#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>) () ())) ())

Calls

96 calls:

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

simplify555.0ms (6.5%)

Memory

13.3MiB live, 478.2MiB allocated

Algorithm

1×	egg-herbie

Rules

19 260×	`lower-fma.f64`
19 260×	`lower-fma.f32`
5 680×	`lower-*.f64`
5 680×	`lower-*.f32`
3 252×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	315	3809
1	1060	3766
2	3248	3724
0	8226	3290

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 380

Calls

Call 1

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

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

rewrite297.0ms (3.5%)

Memory

-0.9MiB live, 520.1MiB allocated

Rules

5 366×	`lower-*.f32`
5 352×	`lower-*.f64`
4 752×	`lower-fma.f32`
4 740×	`lower-fma.f64`
3 992×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	189
0	52	189
1	223	189
2	1689	189
0	8306	189

Stop Event

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

Counts

16 → 424

Calls

Call 1

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

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

eval109.0ms (1.3%)

Memory: -8.1MiB live, 178.4MiB allocated
Compiler: Compiled 24 988 to 1 849 computations (92.6% saved)

prune122.0ms (1.4%)

Memory

4.8MiB live, 207.7MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	833	13	846
Fresh	3	2	5
Picked	2	3	5
Done	0	0	0
Total	838	18	856

Accuracy

100.0%

Counts

856 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.2%	(/.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)) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))
	22.3%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	23.6%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
	22.6%	(-.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))
▶	23.1%	(-.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))
	22.6%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (.f64 x (.f64 a x)) (-.f64 #s(literal 1 binary64) (.f64 a x))) (fma.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x))) #s(literal 1 binary64))))) #s(literal 1 binary64))
▶	23.1%	(-.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))
	22.6%	(-.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))
▶	23.1%	(-.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))
	19.0%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* a (* 1/2 (* x x))) x)) 1) (.f64 a (fma.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))) (/.f64 (fma.f64 a x #s(literal 1 binary64)) a))))) #s(literal 1 binary64))
✓	21.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 a x))
	60.8%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 a (.f64 (.f64 a (.f64 x 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))))))
	62.6%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a 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 x)))
	61.8%	#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)))
▶	62.1%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x)))
	60.6%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x #s(approx (* x (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) (.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64)))))) x)))
▶	63.1%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 659 to 319 computations (51.6% saved)

simplify221.0ms (2.6%)

Memory

15.2MiB live, 216.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64)))))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64))))) #s(literal 1 binary64))
cost-diff	1024	(/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64)))
cost-diff	1408	(/.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))))
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)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 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))
cost-diff	2048	(.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))))
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	(fma.f64 (.f64 a x) (.f64 x #s(literal 1/2 binary64)) x)
cost-diff	0	(.f64 a (fma.f64 (.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x)))
cost-diff	0	(*.f64 a x)
cost-diff	0	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Rules

13 422×	`lower-fma.f32`
13 416×	`lower-fma.f64`
3 096×	`lower-*.f32`
3 086×	`lower-*.f64`
1 976×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	315
0	45	303
1	77	303
2	130	303
3	257	225
4	491	225
5	1203	225
6	3899	225
7	7306	225
0	8263	211

Stop Event

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

Calls

Call 1

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

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

localize82.0ms (1%)

Memory

-16.3MiB live, 97.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.2069563774443746	(fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64))
accuracy	12.764959529048031	(/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64)))
accuracy	23.968313119115077	#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)))))
accuracy	25.607062697276998	(-.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))
accuracy	1.2069563774443746	(fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64))
accuracy	12.371321343900666	(.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))))
accuracy	23.968313119115077	#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)))))
accuracy	25.607062697276998	(-.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))
accuracy	1.2069563774443746	(fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64))
accuracy	12.89475471556108	(/.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))
accuracy	23.968313119115077	#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	25.607062697276998	(-.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	0.05078125	(fma.f64 (.f64 a x) (.f64 x #s(literal 1/2 binary64)) x)
accuracy	1.2109704255589953	(.f64 a (fma.f64 (.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x))
accuracy	24.24904442583461	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x)))
accuracy	0	(*.f64 a x)
accuracy	23.623002817755076	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Samples

42.0ms

256×

valid

Compiler

Compiled 227 to 23 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 12.0ms (47.3% of total)

ival-div: 6.0ms (23.6% of total)

ival-add: 3.0ms (11.8% of total)

ival-exp: 2.0ms (7.9% of total)

ival-expm1: 2.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.3%)

Memory

-15.7MiB live, 26.7MiB allocated

Counts

16 → 384

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (+ (* a (* x (* a x))) -1) (+ (* a x) -1))
0.0ms	x	@	0	(/ (+ (* a (* x (* a x))) -1) (+ (* a x) -1))
0.0ms	a	@	0	(/ (+ (* a (* x (* a x))) -1) (+ (* a x) -1))
0.0ms	a	@	inf	(/ (+ (* a (* x (* a x))) -1) (+ (* a x) -1))
0.0ms	x	@	inf	(/ (+ (* a x) -1) (+ (* a (* x (* a x))) -1))

simplify209.0ms (2.4%)

Memory

14.9MiB live, 204.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 664×	`lower-fma.f64`
9 664×	`lower-fma.f32`
4 250×	`lower-*.f64`
4 250×	`lower-*.f32`
1 960×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	2892
1	625	2872
2	1599	2848
3	4340	2848
0	8478	2476

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 382

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

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

rewrite345.0ms (4%)

Memory

23.3MiB live, 371.3MiB allocated

Rules

13 476×	`lower-fma.f32`
13 470×	`lower-fma.f64`
5 932×	`lower-*.f32`
5 922×	`lower-*.f64`
3 458×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	234
0	45	222
1	179	143
2	1019	143
0	8785	129

Stop Event

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

Counts

16 → 1 294

Calls

Call 1

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

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

eval244.0ms (2.8%)

Memory: 44.2MiB live, 334.3MiB allocated
Compiler: Compiled 59 667 to 2 927 computations (95.1% saved)

prune186.0ms (2.2%)

Memory

-44.5MiB live, 252.6MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	2 041	7	2 048
Fresh	6	4	10
Picked	3	2	5
Done	0	3	3
Total	2 050	16	2 066

Accuracy

100.0%

Counts

2 066 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.3%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	23.6%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
	5.0%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) (.f64 a (.f64 a (*.f64 x x)))) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
	57.8%	(-.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))
	58.3%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* a x) -1) (+ (* a (* x (* a x))) -1)) (fma.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
	57.9%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* a x) -1) (+ (* a (* x (* a x))) -1)) (fma.f64 x (neg.f64 (fma.f64 x (.f64 a (.f64 a (fma.f64 a x #s(literal -1 binary64)))) a)) #s(literal 1 binary64))))) #s(literal 1 binary64))
	19.0%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* a (* 1/2 (* x x))) x)) 1) (.f64 a (fma.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))) (/.f64 (fma.f64 a x #s(literal 1 binary64)) a))))) #s(literal 1 binary64))
✓	21.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	62.0%	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) a) x (.f64 a x)))
▶	62.1%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 a x)))
▶	62.6%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a 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 x)))
▶	61.8%	#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)))
✓	62.1%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x)))
▶	20.8%	#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a x) (* x 1/2)) x) (.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64)))))))
✓	63.1%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 418 to 229 computations (45.2% saved)

simplify156.0ms (1.8%)

Memory

20.1MiB live, 133.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

6 752×	`lower-fma.f32`
6 738×	`lower-fma.f64`
3 772×	`distribute-lft-in`
3 764×	`associate-r`
3 052×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	354
0	66	350
1	154	347
2	408	347
3	1167	347
4	1935	347
5	3612	347
6	3767	347
7	3786	347
8	3788	347
9	3788	347
10	5657	347
11	7671	347
12	7671	347
0	9573	337

Stop Event

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

Calls

Call 1

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

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

localize121.0ms (1.4%)

Memory

-0.5MiB live, 157.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.33203125	(*.f64 x #s(literal 1/6 binary64))
accuracy	1.226287562663456	(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
accuracy	5.759975579233437	(.f64 a (.f64 x x))
accuracy	23.33945486311915	#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	(*.f64 a x)
accuracy	0.13671875	(.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64))) a)
accuracy	5.991334289093698	(fma.f64 (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) a) x (.f64 a x))
accuracy	24.24904442583461	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) a) x (.f64 a x)))
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0	(*.f64 a x)
accuracy	0.08203125	(.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 a x))
accuracy	24.24904442583461	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 a x)))
accuracy	0.10546875	(.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))))
accuracy	1.2109704255589953	(.f64 a #s(approx (+ ( (* a x) (* x 1/2)) x) (.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))))))
accuracy	24.24904442583461	#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a x) (* x 1/2)) x) (.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64)))))))
accuracy	38.47130363405136	#s(approx (+ (* (* a x) (* x 1/2)) x) (.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
accuracy	0.258420953743023	(fma.f64 (.f64 (.f64 a 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 x)
accuracy	0.33203125	(*.f64 x #s(literal 1/24 binary64))
accuracy	1.635774846987009	(.f64 a (fma.f64 (.f64 (.f64 a 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 x))
accuracy	23.958734949065636	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a 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 x)))

Samples

77.0ms

256×

valid

Compiler

Compiled 278 to 38 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 37.0ms (63.4% of total)

ival-add: 13.0ms (22.3% of total)

const: 6.0ms (10.3% of total)

ival-expm1: 2.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.4%)

Memory

9.6MiB live, 46.8MiB allocated

Counts

23 → 516

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* (* a x) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2))
1.0ms	x	@	-inf	(* (+ (* a (* x 1/2)) 1) (* a x))
1.0ms	x	@	0	(* (* a (* x 1/2)) a)
1.0ms	a	@	-inf	(* a (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x))
0.0ms	a	@	inf	(* a (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x))

simplify543.0ms (6.3%)

Memory

8.5MiB live, 448.4MiB allocated

Algorithm

1×	egg-herbie

Rules

29 086×	`lower-fma.f64`
29 086×	`lower-fma.f32`
6 720×	`lower-*.f64`
6 720×	`lower-*.f32`
4 010×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	305	5013
1	1054	4988
2	3737	4862
0	8256	4415

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 510

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

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

rewrite290.0ms (3.4%)

Memory

1.6MiB live, 384.7MiB allocated

Rules

6 760×	`lower-fma.f32`
6 746×	`lower-fma.f64`
5 944×	`lower-*.f32`
5 916×	`lower-*.f64`
3 940×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	292
0	66	288
1	260	285
2	1900	285
0	8761	275

Stop Event

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

Counts

23 → 445

Calls

Call 1

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

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

eval156.0ms (1.8%)

Memory: 5.6MiB live, 280.5MiB allocated
Compiler: Compiled 29 007 to 1 455 computations (95% saved)

prune254.0ms (3%)

Memory

10.3MiB live, 286.2MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1 117	4	1 121
Fresh	1	5	6
Picked	4	1	5
Done	1	4	5
Total	1 123	14	1 137

Accuracy

100.0%

Counts

1 137 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.3%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	23.6%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
	5.0%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* a (* x (* a x))) -1) (.f64 a (.f64 a (*.f64 x x)))) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
	57.8%	(-.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))
	58.3%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* a x) -1) (+ (* a (* x (* a x))) -1)) (fma.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
	57.9%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* a x) -1) (+ (* a (* x (* a x))) -1)) (fma.f64 x (neg.f64 (fma.f64 x (.f64 a (.f64 a (fma.f64 a x #s(literal -1 binary64)))) a)) #s(literal 1 binary64))))) #s(literal 1 binary64))
✓	21.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 a x))
	63.5%	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a (*.f64 a x)))
	62.1%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 a (.f64 (*.f64 a x) #s(literal 1/2 binary64)) a) x))
	62.6%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 (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)) a) x) x x)))
	63.5%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 #s(approx ( (* a x) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) (.f64 a (.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) x x)))
✓	20.8%	#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a x) (* x 1/2)) x) (.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64)))))))
✓	63.1%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 751 to 242 computations (67.8% saved)

regimes107.0ms (1.2%)

Memory

-9.3MiB live, 65.5MiB allocated

Counts

35 → 1

Calls

Call 1

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

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

Calls

5 calls:

51.0ms	(exp.f64 (*.f64 a x))
28.0ms	a
9.0ms	x
9.0ms	(*.f64 a x)
8.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

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

Compiler

Compiled 25 to 17 computations (32% saved)

regimes51.0ms (0.6%)

Memory

-12.5MiB live, 79.1MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

16.0ms	a
10.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
9.0ms	x
8.0ms	(*.f64 a x)
7.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
79.8%	4	`a`
82.7%	2	`x`
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 25 to 17 computations (32% saved)

regimes21.0ms (0.2%)

Memory

1.3MiB live, 38.8MiB allocated

Counts

23 → 2

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
6.0ms	(*.f64 a x)
5.0ms	(exp.f64 (*.f64 a x))

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes11.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes13.0ms (0.2%)

Memory

-15.0MiB live, 22.9MiB 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))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a x) (* x 1/2)) x) (.f64 x (.f64 a (*.f64 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)) 1) (.f64 a (fma.f64 (.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 a x)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 a (.f64 (*.f64 a x) #s(literal 1/2 binary64)) a) x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) a) x (.f64 a 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 (fma.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) a) x))

Calls

3 calls:

5.0ms	(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
98.0%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
98.0%	2	`(exp.f64 (*.f64 a x))`
98.0%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

8 → 2

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.0%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
98.0%	2	`(exp.f64 (*.f64 a x))`
98.0%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes10.0ms (0.1%)

Memory

-22.0MiB live, 15.1MiB allocated

Counts

6 → 2

Calls

Call 1

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

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:

5.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
2.0ms	(*.f64 a x)
2.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
97.4%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
97.4%	2	`(exp.f64 (*.f64 a x))`
97.4%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes10.0ms (0.1%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
63.1%	1	`a`
63.1%	1	`x`
63.1%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
63.1%	1	`(exp.f64 (*.f64 a x))`
63.1%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes6.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB 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
21.4%	1	`x`
21.4%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
21.4%	1	`(exp.f64 (*.f64 a x))`
21.4%	1	`a`
21.4%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.045461509542442	-0.04834677283037098

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.045461509542442	-0.04834677283037098

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.045461509542442	-0.04834677283037098

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.045461509542442	-0.04834677283037098

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.045461509542442	-0.04834677283037098

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.96483676983353e-5	-6.5624127408729065e-15

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify12.0ms (0.1%)

Memory

-29.3MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
8×	`sub-neg_binary64`
6×	`+-commutative_binary64`
2×	`mul-1-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	357
1	88	357
2	93	357
3	100	357

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -4 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* a x) -1) (+ (* a (* x (* a x))) -1)) (fma.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a 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 x))))
(if (<=.f64 (.f64 a x) #s(literal -4 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* a x) -1) (+ (* a (* x (* a x))) -1)) (fma.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 a (fma.f64 #s(approx ( (* a x) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) (.f64 a (.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) x x))))
(if (<=.f64 (.f64 a x) #s(literal -4 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* a x) -1) (+ (* a (* x (* a x))) -1)) (fma.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 (fma.f64 a (.f64 (*.f64 a x) #s(literal 1/2 binary64)) a) x)))
(if (<=.f64 (.f64 a x) #s(literal -4 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 a (.f64 (*.f64 a x) #s(literal 1/2 binary64)) a) x)))
(if (<=.f64 (.f64 a x) #s(literal -4 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 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 -4 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* a x) -1) (+ (* a (* x (* a x))) -1)) (fma.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a 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 x))))
(if (<=.f64 (.f64 a x) #s(literal -4 binary64)) (+.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* a x) -1) (+ (* a (* x (* a x))) -1)) (fma.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a 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 x))))
(if (<=.f64 (.f64 a x) #s(literal -4 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* a x) -1) (+ (* a (* x (* a x))) -1)) (fma.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 a (fma.f64 #s(approx ( (* a x) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) (.f64 a (.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) x x))))
(if (<=.f64 (.f64 a x) #s(literal -4 binary64)) (+.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* a x) -1) (+ (* a (* x (* a x))) -1)) (fma.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 a (fma.f64 #s(approx ( (* a x) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) (.f64 a (.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) x x))))
(if (<=.f64 (.f64 a x) #s(literal -4 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* a x) -1) (+ (* a (* x (* a x))) -1)) (fma.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 (fma.f64 a (.f64 (*.f64 a x) #s(literal 1/2 binary64)) a) x)))
(if (<=.f64 (.f64 a x) #s(literal -4 binary64)) (+.f64 #s(approx (exp ( a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* a x) -1) (+ (* a (* x (* a x))) -1)) (fma.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 x (fma.f64 a (.f64 (*.f64 a x) #s(literal 1/2 binary64)) a))))
(if (<=.f64 (.f64 a x) #s(literal -4 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 a (.f64 (*.f64 a x) #s(literal 1/2 binary64)) a) x)))
(if (<=.f64 (.f64 a x) #s(literal -4 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 x (fma.f64 a (.f64 (*.f64 a x) #s(literal 1/2 binary64)) a))))
(if (<=.f64 (.f64 a x) #s(literal -4 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 a x) (*.f64 x #s(literal 1/2 binary64)) x))))
(if (<=.f64 (.f64 a x) #s(literal -4 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 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(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))
(+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))

soundness2.3s (26.9%)

Memory

-2.3MiB live, 1 284.5MiB allocated

Rules

29 086×	`lower-fma.f64`
29 086×	`lower-fma.f32`
19 260×	`lower-fma.f64`
19 260×	`lower-fma.f32`
13 476×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	234
0	45	222
1	179	143
2	1019	143
0	8785	129
0	30	189
0	52	189
1	223	189
2	1689	189
0	8306	189
0	305	5013
1	1054	4988
2	3737	4862
0	8256	4415
0	6	13
0	9	13
1	30	13
2	152	13
0	1346	11
0	39	292
0	66	288
1	260	285
2	1900	285
0	8761	275
0	315	3809
1	1060	3766
2	3248	3724
0	8226	3290
0	197	2892
1	625	2872
2	1599	2848
3	4340	2848
0	8478	2476
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×	node 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
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 510 to 233 computations (54.3% saved)

preprocess85.0ms (1%)

Memory: -13.5MiB live, 110.1MiB allocated
Remove: (sort a x)
Compiler: Compiled 452 to 124 computations (72.6% 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%)

analyze19.0ms (0.2%)

sample749.0ms (8.7%)

explain114.0ms (1.3%)

preprocess69.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize17.0ms (0.2%)

series4.0ms (0%)

simplify253.0ms (3%)

rewrite123.0ms (1.4%)

eval58.0ms (0.7%)

prune46.0ms (0.5%)

simplify367.0ms (4.3%)

localize134.0ms (1.6%)

series25.0ms (0.3%)

simplify555.0ms (6.5%)

rewrite297.0ms (3.5%)

eval109.0ms (1.3%)

prune122.0ms (1.4%)

simplify221.0ms (2.6%)

localize82.0ms (1%)

series25.0ms (0.3%)

simplify209.0ms (2.4%)

rewrite345.0ms (4%)

eval244.0ms (2.8%)

prune186.0ms (2.2%)

simplify156.0ms (1.8%)

localize121.0ms (1.4%)

series36.0ms (0.4%)

simplify543.0ms (6.3%)

rewrite290.0ms (3.4%)

eval156.0ms (1.8%)

prune254.0ms (3%)

regimes107.0ms (1.2%)

regimes51.0ms (0.6%)

regimes21.0ms (0.2%)

regimes11.0ms (0.1%)

regimes13.0ms (0.2%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness2.3s (26.9%)

preprocess85.0ms (1%)

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