Metrics for expax (section 3.5)

analyze17.0ms (0.3%)

Memory

24.7MiB live, 24.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample582.0ms (8.7%)

Memory

14.0MiB live, 828.8MiB allocated

Samples

385.0ms	8 256×	0	valid
11.0ms	270×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-expm1: 95.0ms (50.1% of total)

ival-mult: 65.0ms (34.3% of total)

ival->: 20.0ms (10.5% of total)

exact: 7.0ms (3.7% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess16.0ms (0.2%)

Memory

25.4MiB live, 25.4MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	42
1	45	42
2	75	40
3	110	40
4	143	40
5	167	40
6	206	40
7	228	40
8	242	40
9	253	40
10	254	40
0	6	6
1	14	6
2	17	6
0	17	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (exp (* a x)) 1)

Outputs
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))

Call 2

Inputs
(- (exp (* a x)) 1)
(- (exp (* (neg a) x)) 1)
(- (exp (* a (neg x))) 1)
(neg (- (exp (* (neg a) x)) 1))
(neg (- (exp (* a (neg x))) 1))
(- (exp (* x a)) 1)

Outputs
(- (exp (* a x)) 1)
(+ (pow (exp a) x) -1)
(- (exp (* (neg a) x)) 1)
(+ (pow (exp (neg a)) x) -1)
(- (exp (* a (neg x))) 1)
(+ (pow (exp (neg a)) x) -1)
(neg (- (exp (* (neg a) x)) 1))
(- 1 (pow (exp (neg a)) x))
(neg (- (exp (* a (neg x))) 1))
(- 1 (pow (exp (neg a)) x))
(- (exp (* x a)) 1)
(+ (pow (exp a) x) -1)

Symmetry

(sort a x)

explain328.0ms (4.9%)

Memory

-93.4MiB live, 135.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
115	1	(-2.8636436315573004e-76 6.351858900379007e-248)	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	0	-	-	`a`
0	1	(-1.6281097644477268e+198 -7.463862663975712e-197)	-	`(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	116	0
`exp.f64`	`(exp.f64 (*.f64 a x))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	115	0
-	2	139

Precision

0.9829059829059829

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	115	0	0
-	2	1	138

Precision?

0.9745762711864406

Recall?

1.0

Freqs

test

number	freq
0	139
1	117

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 52 to 28 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-expm1: 10.0ms (54.9% of total)

ival-exp: 4.0ms (21.9% of total)

ival-mult: 4.0ms (21.9% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.3%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	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×	`exp-lowering-exp.f32`
6×	`exp-lowering-exp.f64`
4×	`pow-lowering-pow.f64`
4×	`pow-lowering-pow.f32`
4×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (exp (* a x)) 1)
(exp (* a x))
(* a x)
a
x
1

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

localize20.0ms (0.3%)

Memory

-4.5MiB live, 34.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(exp.f64 (*.f64 a x))
✓	accuracy	58.3%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

13.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-exp: 2.0ms (35.5% of total)

ival-mult: 2.0ms (35.5% of total)

ival-expm1: 2.0ms (35.5% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

7.4MiB live, 7.5MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (* a x)>

Outputs
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>

Calls

18 calls:

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

rewrite99.0ms (1.5%)

Memory

-4.5MiB live, 191.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

806×	`accelerator-lowering-fma.f32`
806×	`accelerator-lowering-fma.f64`
650×	`-lowering-.f32`
650×	`-lowering-.f64`
594×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	27	13
2	149	13
0	1340	11

Stop Event

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

Counts

3 → 111

Calls

Call 1

Inputs
(- (exp (* a x)) 1)
(exp (* a x))
(* a x)

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

simplify332.0ms (5%)

Memory

21.5MiB live, 373.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 560×	`accelerator-lowering-fma.f32`
8 560×	`accelerator-lowering-fma.f64`
3 454×	`associate-r`
2 992×	`-lowering-.f32`
2 992×	`-lowering-.f64`

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

eval24.0ms (0.4%)

Memory: -7.4MiB live, 40.8MiB allocated
Compiler: Compiled 3 353 to 322 computations (90.4% saved)

prune21.0ms (0.3%)

Memory

8.1MiB live, 46.2MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

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

Accuracy

100.0%

Counts

184 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64)))
▶	99.7%	(/.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 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64)))))
▶	18.3%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	60.9%	(.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
▶	59.7%	(.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
▶	59.7%	(.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	61.1%	(*.f64 a x)
▶	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 216 to 142 computations (34.3% saved)

simplify506.0ms (7.6%)

Memory

-7.9MiB live, 615.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
✓	cost-diff	0	(/.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 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64)))))
✓	cost-diff	128	(*.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64))
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64)))
✓	cost-diff	-64	(.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓	cost-diff	0	(fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	cost-diff	0	(fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 a (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓	cost-diff	-64	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	-64	(*.f64 a x)
✓	cost-diff	-64	(.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	-64	(*.f64 a x)
✓	cost-diff	0	(expm1.f64 (*.f64 a x))

Rules

14 650×	`accelerator-lowering-fma.f32`
14 650×	`accelerator-lowering-fma.f64`
4 806×	`+-lowering-+.f64`
4 806×	`+-lowering-+.f32`
4 632×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	244
1	119	237
2	385	237
3	1289	237
4	3106	237
5	3512	237
6	3830	237
7	4070	237
8	4088	237
9	4095	237
10	6302	237
11	6386	237
12	6408	237
13	6412	237
14	6412	237
15	6656	237
16	6728	237
17	6728	237
0	8095	213

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (exp (* a x)) 1)
(* a x)
a
x
(- 1 1)
1
(* (* a x) (+ (* a (* x 1/2)) 1))
(* a x)
a
x
(+ (* a (* x 1/2)) 1)
(* x 1/2)
1/2
1
(* a (* x (+ (* a (* x (+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2))) 1)))
a
(* x (+ (* a (* x (+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2))) 1))
x
(+ (* a (* x (+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2))) 1)
(* x (+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2))
(+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2)
(* a x)
(+ (* (* a x) 1/24) 1/6)
1/24
1/6
1/2
1
(/ (- (exp (* a (* x 3))) 1) (+ (exp (* a (+ x x))) (- 1 (* (exp (+ (* a x) 0)) -1))))
(- (exp (* a (* x 3))) 1)
(* a (* x 3))
a
(* x 3)
x
3
(+ (exp (* a (+ x x))) (- 1 (* (exp (+ (* a x) 0)) -1)))
(exp (* a (+ x x)))
(* a (+ x x))
(+ x x)
(- 1 (* (exp (+ (* a x) 0)) -1))
1
(* (exp (+ (* a x) 0)) -1)
(exp (+ (* a x) 0))
(+ (* a x) 0)
0
-1

Outputs
(- (exp (* a x)) 1)
(expm1.f64 (fma.f64 a x #s(literal 0 binary64)))
(* a x)
(fma.f64 a x #s(literal 0 binary64))
a
x
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(* (* a x) (+ (* a (* x 1/2)) 1))
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* a x)
(fma.f64 a x #s(literal 0 binary64))
a
x
(+ (* a (* x 1/2)) 1)
(fma.f64 a (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* x 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(* a (* x (+ (* a (* x (+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2))) 1)))
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 x (fma.f64 a (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
a
(* x (+ (* a (* x (+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2))) 1))
(fma.f64 x (fma.f64 x (fma.f64 a (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ (* a (* x (+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2))) 1)
(fma.f64 x (fma.f64 a (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(* x (+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2))
(fma.f64 x (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2)
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* a x)
(fma.f64 a x #s(literal 0 binary64))
(+ (* (* a x) 1/24) 1/6)
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64) #s(literal 1/6 binary64))
1/24
#s(literal 1/24 binary64)
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(/ (- (exp (* a (* x 3))) 1) (+ (exp (* a (+ x x))) (- 1 (* (exp (+ (* a x) 0)) -1))))
(/.f64 (expm1.f64 (fma.f64 x (fma.f64 a #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) (+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(- (exp (* a (* x 3))) 1)
(expm1.f64 (fma.f64 x (fma.f64 a #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* a (* x 3))
(fma.f64 x (fma.f64 a #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
a
(* x 3)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
x
3
#s(literal 3 binary64)
(+ (exp (* a (+ x x))) (- 1 (* (exp (+ (* a x) 0)) -1)))
(fma.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) (+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp (* a (+ x x)))
(exp.f64 (fma.f64 a (+.f64 x x) #s(literal 0 binary64)))
(* a (+ x x))
(fma.f64 a (+.f64 x x) #s(literal 0 binary64))
(+ x x)
(+.f64 x x)
(- 1 (* (exp (+ (* a x) 0)) -1))
(+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (exp (+ (* a x) 0)) -1)
(-.f64 #s(literal 0 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))
(exp (+ (* a x) 0))
(exp.f64 (fma.f64 a x #s(literal 0 binary64)))
(+ (* a x) 0)
(fma.f64 a x #s(literal 0 binary64))
0
#s(literal 0 binary64)
-1
#s(literal -1 binary64)

localize157.0ms (2.3%)

Memory

28.9MiB live, 221.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (*.f64 a (+.f64 x x)))
✓	accuracy	99.9%	(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
✓	accuracy	99.8%	(/.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 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64)))))
✓	accuracy	99.7%	(.f64 a (.f64 x #s(literal 3 binary64)))
✓	accuracy	98.2%	(.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	accuracy	98.2%	(.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	98.1%	(.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓	accuracy	98.1%	(fma.f64 a (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.8%	(.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(expm1.f64 (*.f64 a x))

Samples

86.0ms

256×

valid

Compiler

Compiled 232 to 39 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 21.0ms (41.6% of total)

ival-add: 11.0ms (21.8% of total)

const: 6.0ms (11.9% of total)

ival-exp: 3.0ms (5.9% of total)

ival-expm1: 3.0ms (5.9% of total)

ival-div: 2.0ms (4% of total)

ival-sub: 2.0ms (4% of total)

exact: 1.0ms (2% of total)

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

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

series37.0ms (0.6%)

Memory

-18.3MiB live, 58.2MiB allocated

Counts

18 → 396

Calls

Call 1

Inputs
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (- 1 1)>
#<alt (+ (* a (* x 1/2)) 1)>
#<alt (* (* a x) (+ (* a (* x 1/2)) 1))>
#<alt (* x 1/2)>
#<alt (+ (* a (* x (+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2))) 1)>
#<alt (+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2)>
#<alt (+ (* (* a x) 1/24) 1/6)>
#<alt (* a (* x (+ (* a (* x (+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2))) 1)))>
#<alt (- 1 (* (exp (+ (* a x) 0)) -1))>
#<alt (* (exp (+ (* a x) 0)) -1)>
#<alt (/ (- (exp (* a (* x 3))) 1) (+ (exp (* a (+ x x))) (- 1 (* (exp (+ (* a x) 0)) -1))))>
#<alt (- (exp (* a (* x 3))) 1)>
#<alt (* x (+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2))>
#<alt (* x (+ (* a (* x (+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2))) 1))>
#<alt (* a (* x 3))>
#<alt (exp (* a (+ x x)))>

Outputs
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (* 1/2 (* a x))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* 1/2 (* a x))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (* 1/2 (* a x))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* 1/2 (* a x))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))>
#<alt (+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (+ (* 1/2 (/ x (pow a 2))) (/ 1 (pow a 3))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))) a)) (* -1/24 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))>
#<alt (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))>
#<alt (+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))>
#<alt (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 (* a x)))>
#<alt (+ 1/6 (* 1/24 (* a x)))>
#<alt (+ 1/6 (* 1/24 (* a x)))>
#<alt (* 1/24 (* a x))>
#<alt (* a (+ (* 1/24 x) (* 1/6 (/ 1 a))))>
#<alt (* a (+ (* 1/24 x) (* 1/6 (/ 1 a))))>
#<alt (* a (+ (* 1/24 x) (* 1/6 (/ 1 a))))>
#<alt (* 1/24 (* a x))>
#<alt (* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a)))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 (* a x)))>
#<alt (+ 1/6 (* 1/24 (* a x)))>
#<alt (+ 1/6 (* 1/24 (* a x)))>
#<alt (* 1/24 (* a x))>
#<alt (* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))>
#<alt (* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))>
#<alt (* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (* a x))>
#<alt (* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<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))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<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))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))>
#<alt (* (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))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a (- (* 1/2 (* a (pow x 2))) (* -1 x))))>
#<alt (+ 2 (* a (- (* a (- (* 1/6 (* a (pow x 3))) (* -1/2 (pow x 2)))) (* -1 x))))>
#<alt (- 1 (* -1 (exp (* a x))))>
#<alt (- 1 (* -1 (exp (* a x))))>
#<alt (- 1 (* -1 (exp (* a x))))>
#<alt (- 1 (* -1 (exp (* a x))))>
#<alt (- 1 (* -1 (exp (* a x))))>
#<alt (- 1 (* -1 (exp (* a x))))>
#<alt (- 1 (* -1 (exp (* a x))))>
#<alt (- 1 (* -1 (exp (* a x))))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* x (- (* 1/2 (* (pow a 2) x)) (* -1 a))))>
#<alt (+ 2 (* x (- (* x (- (* 1/6 (* (pow a 3) x)) (* -1/2 (pow a 2)))) (* -1 a))))>
#<alt (- 1 (* -1 (exp (* a x))))>
#<alt (- 1 (* -1 (exp (* a x))))>
#<alt (- 1 (* -1 (exp (* a x))))>
#<alt (- 1 (* -1 (exp (* a x))))>
#<alt (- 1 (* -1 (exp (* a x))))>
#<alt (- 1 (* -1 (exp (* a x))))>
#<alt (- 1 (* -1 (exp (* a x))))>
#<alt (- 1 (* -1 (exp (* a x))))>
#<alt -1>
#<alt (- (* -1 (* a x)) 1)>
#<alt (- (* a (+ (* -1 x) (* -1/2 (* a (pow x 2))))) 1)>
#<alt (- (* a (+ (* -1 x) (* a (+ (* -1/2 (pow x 2)) (* -1/6 (* a (pow x 3))))))) 1)>
#<alt (* -1 (exp (* a x)))>
#<alt (* -1 (exp (* a x)))>
#<alt (* -1 (exp (* a x)))>
#<alt (* -1 (exp (* a x)))>
#<alt (* -1 (exp (* a x)))>
#<alt (* -1 (exp (* a x)))>
#<alt (* -1 (exp (* a x)))>
#<alt (* -1 (exp (* a x)))>
#<alt -1>
#<alt (- (* -1 (* a x)) 1)>
#<alt (- (* x (+ (* -1 a) (* -1/2 (* (pow a 2) x)))) 1)>
#<alt (- (* x (+ (* -1 a) (* x (+ (* -1/2 (pow a 2)) (* -1/6 (* (pow a 3) x)))))) 1)>
#<alt (* -1 (exp (* a x)))>
#<alt (* -1 (exp (* a x)))>
#<alt (* -1 (exp (* a x)))>
#<alt (* -1 (exp (* a x)))>
#<alt (* -1 (exp (* a x)))>
#<alt (* -1 (exp (* a x)))>
#<alt (* -1 (exp (* a x)))>
#<alt (* -1 (exp (* a x)))>
#<alt (* a x)>
#<alt (* a (+ x (* a (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))))))>
#<alt (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 x) (* -1 x)))))))) (* 1/3 (* x (- (* 2 x) (* -1 x))))))))>
#<alt (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (+ (* 3/2 (pow x 3)) (* a (- (* 9/8 (pow x 4)) (+ (* 1/3 (* x (- (* 4/3 (pow x 3)) (* -1/6 (pow x 3))))) (+ (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 x) (* -1 x)))))) (- (* 2 x) (* -1 x))))))))) (+ (* 1/3 (* x (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 x) (* -1 x)))))))) (* 1/3 (* x (- (* 2 x) (* -1 x))))))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (* a x)>
#<alt (* x (+ a (* x (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))))))>
#<alt (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 a) (* -1 a)))))))) (* 1/3 (* a (- (* 2 a) (* -1 a))))))))>
#<alt (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (+ (* 3/2 (pow a 3)) (* x (- (* 9/8 (pow a 4)) (+ (* 1/3 (* a (- (* 4/3 (pow a 3)) (* -1/6 (pow a 3))))) (+ (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 a) (* -1 a)))))) (- (* 2 a) (* -1 a))))))))) (+ (* 1/3 (* a (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 a) (* -1 a)))))))) (* 1/3 (* a (- (* 2 a) (* -1 a))))))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (* 3 (* a x))>
#<alt (* a (+ (* 3 x) (* 9/2 (* a (pow x 2)))))>
#<alt (* a (+ (* 3 x) (* a (+ (* 9/2 (* a (pow x 3))) (* 9/2 (pow x 2))))))>
#<alt (* a (+ (* 3 x) (* a (+ (* 9/2 (pow x 2)) (* a (+ (* 27/8 (* a (pow x 4))) (* 9/2 (pow x 3))))))))>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (* 3 (* a x))>
#<alt (* x (+ (* 3 a) (* 9/2 (* (pow a 2) x))))>
#<alt (* x (+ (* 3 a) (* x (+ (* 9/2 (* (pow a 3) x)) (* 9/2 (pow a 2))))))>
#<alt (* x (+ (* 3 a) (* x (+ (* 9/2 (pow a 2)) (* x (+ (* 27/8 (* (pow a 4) x)) (* 9/2 (pow a 3))))))))>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 (* a x))))>
#<alt (* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))>
#<alt (* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))>
#<alt (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))>
#<alt (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))>
#<alt (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* (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))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))>
#<alt (* -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)))))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>

Calls

99 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(* x 1/2)
3.0ms	x	@	0	(* a (* x 3))
2.0ms	a	@	inf	(- 1 (* (exp (+ (* a x) 0)) -1))
2.0ms	x	@	0	(/ (- (exp (* a (* x 3))) 1) (+ (exp (* a (+ x x))) (- 1 (* (exp (+ (* a x) 0)) -1))))
1.0ms	a	@	0	(/ (- (exp (* a (* x 3))) 1) (+ (exp (* a (+ x x))) (- 1 (* (exp (+ (* a x) 0)) -1))))

rewrite37.0ms (0.5%)

Memory

33.0MiB live, 71.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

150×	`-lowering-.f32`
150×	`-lowering-.f64`
100×	`+-lowering-+.f64`
100×	`+-lowering-+.f32`
72×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	186
0	237	164

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

18 → 89

Calls

Call 1

Inputs
(- (exp (* a x)) 1)
(* a x)
(- 1 1)
(+ (* a (* x 1/2)) 1)
(* (* a x) (+ (* a (* x 1/2)) 1))
(* x 1/2)
(+ (* a (* x (+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2))) 1)
(+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2)
(+ (* (* a x) 1/24) 1/6)
(* a (* x (+ (* a (* x (+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2))) 1)))
(- 1 (* (exp (+ (* a x) 0)) -1))
(* (exp (+ (* a x) 0)) -1)
(/ (- (exp (* a (* x 3))) 1) (+ (exp (* a (+ x x))) (- 1 (* (exp (+ (* a x) 0)) -1))))
(- (exp (* a (* x 3))) 1)
(* x (+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2))
(* x (+ (* a (* x (+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2))) 1))
(* a (* x 3))
(exp (* a (+ x x)))

Outputs
(+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64))
(-.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (fma.f64 a x #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) (exp.f64 (fma.f64 a x #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1 binary64)) (+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 a x #s(literal 0 binary64)))
(fma.f64 a x #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a x #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 a x)
(*.f64 x a)
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a (.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (-.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (fma.f64 a x #s(literal 0 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 0 binary64))))
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64))) (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (fma.f64 a x #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 0 binary64))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a x #s(literal 0 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 (fma.f64 a x #s(literal 0 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))))
(+.f64 (.f64 (fma.f64 a x #s(literal 0 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))) #s(literal 1 binary64))
(fma.f64 a (.f64 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))) #s(literal 1 binary64))
(fma.f64 (fma.f64 a x #s(literal 0 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)) #s(literal 1 binary64))
(fma.f64 (.f64 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))) a #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 a x #s(literal 0 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))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 a x #s(literal 0 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))) (.f64 (fma.f64 a x #s(literal 0 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))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 a x #s(literal 0 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))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 a x #s(literal 0 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))) (.f64 (fma.f64 a x #s(literal 0 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)))) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 a x #s(literal 0 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))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))
(+.f64 (.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 (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) (.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) (-.f64 #s(literal 1/4 binary64) (.f64 (.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 (-.f64 (.f64 (.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) (.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))) #s(literal 1/4 binary64)) (-.f64 (.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 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/6 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (.f64 a (.f64 x #s(literal 1/24 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (.f64 a (.f64 x #s(literal 1/24 binary64)))) #s(literal 1/36 binary64)) (-.f64 (.f64 a (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64)))
(.f64 a (.f64 x (fma.f64 (fma.f64 a x #s(literal 0 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)) #s(literal 1 binary64))))
(.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 (fma.f64 a x #s(literal 0 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)) #s(literal 1 binary64)))
(.f64 (.f64 x (fma.f64 (fma.f64 a x #s(literal 0 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)) #s(literal 1 binary64))) a)
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64)) (.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64)) (.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64))))
(*.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (-.f64 (+.f64 (exp.f64 (.f64 a (+.f64 x x))) #s(literal 1 binary64)) (.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (.f64 a (+.f64 x x))) #s(literal 1 binary64)) (.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (exp.f64 (.f64 a (+.f64 x x))) #s(literal 1 binary64)) (.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (-.f64 (+.f64 (exp.f64 (.f64 a (+.f64 x x))) #s(literal 1 binary64)) (.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (neg.f64 (-.f64 (+.f64 (exp.f64 (.f64 a (+.f64 x x))) #s(literal 1 binary64)) (.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64)))))
(.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (.f64 a (+.f64 x x))) #s(literal 1 binary64)) (*.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64)))))
(+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(-.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 a (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 x (.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x (.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) x (.f64 x #s(literal 1/2 binary64)))
(.f64 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 (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)) x)
(+.f64 (.f64 x (.f64 (fma.f64 a x #s(literal 0 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)))) (*.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 a x #s(literal 0 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))) x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 x (.f64 (fma.f64 a x #s(literal 0 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))) (.f64 x #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 a x #s(literal 0 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))) x (.f64 #s(literal 1 binary64) x))
(.f64 x (fma.f64 (fma.f64 a x #s(literal 0 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)) #s(literal 1 binary64)))
(.f64 (fma.f64 (fma.f64 a x #s(literal 0 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)) #s(literal 1 binary64)) x)
(.f64 a (.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 3 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) a)
(exp.f64 (*.f64 a (+.f64 x x)))
(pow.f64 (exp.f64 a) (+.f64 x x))

simplify536.0ms (8%)

Memory

0.1MiB live, 957.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 536×	`accelerator-lowering-fma.f32`
15 536×	`accelerator-lowering-fma.f64`
7 432×	`-lowering-.f32`
7 432×	`-lowering-.f64`
3 164×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	582	4657
1	1990	4562
2	6303	4544
0	8367	4155

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

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)
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))))
(* 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)))
(* 1/2 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)
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (+ (* 1/2 (/ x (pow a 2))) (/ 1 (pow a 3))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))) a)) (* -1/24 (pow x 3)))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3)))))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))
(+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))
(+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
1/6
(+ 1/6 (* 1/24 (* a x)))
(+ 1/6 (* 1/24 (* a x)))
(+ 1/6 (* 1/24 (* a x)))
(* 1/24 (* a x))
(* a (+ (* 1/24 x) (* 1/6 (/ 1 a))))
(* a (+ (* 1/24 x) (* 1/6 (/ 1 a))))
(* a (+ (* 1/24 x) (* 1/6 (/ 1 a))))
(* 1/24 (* a x))
(* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a)))))
(* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a)))))
(* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a)))))
1/6
(+ 1/6 (* 1/24 (* a x)))
(+ 1/6 (* 1/24 (* a x)))
(+ 1/6 (* 1/24 (* a x)))
(* 1/24 (* a x))
(* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* 1/24 (* a x))
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))
(* 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))))
2
(+ 2 (* a x))
(+ 2 (* a (- (* 1/2 (* a (pow x 2))) (* -1 x))))
(+ 2 (* a (- (* a (- (* 1/6 (* a (pow x 3))) (* -1/2 (pow x 2)))) (* -1 x))))
(- 1 (* -1 (exp (* a x))))
(- 1 (* -1 (exp (* a x))))
(- 1 (* -1 (exp (* a x))))
(- 1 (* -1 (exp (* a x))))
(- 1 (* -1 (exp (* a x))))
(- 1 (* -1 (exp (* a x))))
(- 1 (* -1 (exp (* a x))))
(- 1 (* -1 (exp (* a x))))
2
(+ 2 (* a x))
(+ 2 (* x (- (* 1/2 (* (pow a 2) x)) (* -1 a))))
(+ 2 (* x (- (* x (- (* 1/6 (* (pow a 3) x)) (* -1/2 (pow a 2)))) (* -1 a))))
(- 1 (* -1 (exp (* a x))))
(- 1 (* -1 (exp (* a x))))
(- 1 (* -1 (exp (* a x))))
(- 1 (* -1 (exp (* a x))))
(- 1 (* -1 (exp (* a x))))
(- 1 (* -1 (exp (* a x))))
(- 1 (* -1 (exp (* a x))))
(- 1 (* -1 (exp (* a x))))
-1
(- (* -1 (* a x)) 1)
(- (* a (+ (* -1 x) (* -1/2 (* a (pow x 2))))) 1)
(- (* a (+ (* -1 x) (* a (+ (* -1/2 (pow x 2)) (* -1/6 (* a (pow x 3))))))) 1)
(* -1 (exp (* a x)))
(* -1 (exp (* a x)))
(* -1 (exp (* a x)))
(* -1 (exp (* a x)))
(* -1 (exp (* a x)))
(* -1 (exp (* a x)))
(* -1 (exp (* a x)))
(* -1 (exp (* a x)))
-1
(- (* -1 (* a x)) 1)
(- (* x (+ (* -1 a) (* -1/2 (* (pow a 2) x)))) 1)
(- (* x (+ (* -1 a) (* x (+ (* -1/2 (pow a 2)) (* -1/6 (* (pow a 3) x)))))) 1)
(* -1 (exp (* a x)))
(* -1 (exp (* a x)))
(* -1 (exp (* a x)))
(* -1 (exp (* a x)))
(* -1 (exp (* a x)))
(* -1 (exp (* a x)))
(* -1 (exp (* a x)))
(* -1 (exp (* a x)))
(* a x)
(* a (+ x (* a (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))))))
(* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 x) (* -1 x)))))))) (* 1/3 (* x (- (* 2 x) (* -1 x))))))))
(* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (+ (* 3/2 (pow x 3)) (* a (- (* 9/8 (pow x 4)) (+ (* 1/3 (* x (- (* 4/3 (pow x 3)) (* -1/6 (pow x 3))))) (+ (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 x) (* -1 x)))))) (- (* 2 x) (* -1 x))))))))) (+ (* 1/3 (* x (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 x) (* -1 x)))))))) (* 1/3 (* x (- (* 2 x) (* -1 x))))))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(* a x)
(* x (+ a (* x (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))))))
(* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 a) (* -1 a)))))))) (* 1/3 (* a (- (* 2 a) (* -1 a))))))))
(* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (+ (* 3/2 (pow a 3)) (* x (- (* 9/8 (pow a 4)) (+ (* 1/3 (* a (- (* 4/3 (pow a 3)) (* -1/6 (pow a 3))))) (+ (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 a) (* -1 a)))))) (- (* 2 a) (* -1 a))))))))) (+ (* 1/3 (* a (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 a) (* -1 a)))))))) (* 1/3 (* a (- (* 2 a) (* -1 a))))))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(* 3 (* a x))
(* a (+ (* 3 x) (* 9/2 (* a (pow x 2)))))
(* a (+ (* 3 x) (* a (+ (* 9/2 (* a (pow x 3))) (* 9/2 (pow x 2))))))
(* a (+ (* 3 x) (* a (+ (* 9/2 (pow x 2)) (* a (+ (* 27/8 (* a (pow x 4))) (* 9/2 (pow x 3))))))))
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(* 3 (* a x))
(* x (+ (* 3 a) (* 9/2 (* (pow a 2) x))))
(* x (+ (* 3 a) (* x (+ (* 9/2 (* (pow a 3) x)) (* 9/2 (pow a 2))))))
(* x (+ (* 3 a) (* x (+ (* 9/2 (pow a 2)) (* x (+ (* 27/8 (* (pow a 4) x)) (* 9/2 (pow a 3))))))))
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(* 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))))
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))))
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)))))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
1
(+ 1 (* 2 (* a x)))
(+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
1
(+ 1 (* 2 (* a x)))
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (fma.f64 a (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* 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 #s(literal 1/6 binary64) (.f64 a (.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) (.f64 (.f64 a (.f64 a a)) a)) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a)))) (.f64 a (.f64 a #s(literal 1/2 binary64)))) a))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* 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)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* a (+ (* 1/2 x) (/ 1 a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* a (+ (* 1/2 x) (/ 1 a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* a (+ (* 1/2 x) (/ 1 a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* x (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* x (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* x (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(fma.f64 (*.f64 a #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(fma.f64 (*.f64 a #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(fma.f64 (*.f64 a #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* 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 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a))))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 x (.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 x (.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 x (.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 x (.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 x (.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 x (.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))))
(fma.f64 a (.f64 x (fma.f64 x (fma.f64 a #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a x)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* 1/24 (* (pow a 3) (pow x 3)))
(.f64 a (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 x (.f64 x x))))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(.f64 a (.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) a))) a) a))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(.f64 a (.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)) (fma.f64 x (/.f64 #s(literal 1/2 binary64) (.f64 a a)) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) a)))) a) a))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (+ (* 1/2 (/ x (pow a 2))) (/ 1 (pow a 3))))))
(fma.f64 a (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 x (.f64 x x))))) (fma.f64 (.f64 a (.f64 a a)) (fma.f64 x (/.f64 #s(literal 1/2 binary64) (.f64 a a)) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) a))) #s(literal 1 binary64)))
(* 1/24 (* (pow a 3) (pow x 3)))
(.f64 a (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 x (.f64 x x))))))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(.f64 a (.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) a))) a) a))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(.f64 (-.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 #s(literal 1/2 binary64)) a)) a)) (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))) a)) (* -1/24 (pow x 3)))))
(.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/24 binary64)) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) a)) a)) a)) (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))))
(fma.f64 a (.f64 x (fma.f64 x (fma.f64 a #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a x)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* 1/24 (* (pow a 3) (pow x 3)))
(.f64 a (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 x (.f64 x x))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 a a) x) (.f64 #s(literal 1/24 binary64) (.f64 a (*.f64 a a)))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 a (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 a a) x) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(fma.f64 a (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 a (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x)) #s(literal 1 binary64)))
(* 1/24 (* (pow a 3) (pow x 3)))
(.f64 a (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 x (.f64 x x))))))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 a a) x) (.f64 #s(literal 1/24 binary64) (.f64 a (*.f64 a a)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(.f64 (-.f64 (.f64 a (.f64 (.f64 a a) #s(literal -1/24 binary64))) (/.f64 (fma.f64 a (/.f64 #s(literal 1/2 binary64) x) (.f64 a (.f64 a #s(literal 1/6 binary64)))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 a (.f64 (.f64 a a) #s(literal -1/24 binary64)) (/.f64 (fma.f64 a (.f64 a #s(literal 1/6 binary64)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) x)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))
(fma.f64 x (fma.f64 a #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 a (*.f64 a x)))) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))
(fma.f64 x (fma.f64 a #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 a (*.f64 a x)))) #s(literal 1/2 binary64))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 x x))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) (/.f64 (.f64 x #s(literal 1/6 binary64)) a)) a) a)
(* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(.f64 a (.f64 a (fma.f64 x (.f64 x #s(literal 1/24 binary64)) (fma.f64 x (/.f64 #s(literal 1/6 binary64) a) (/.f64 #s(literal 1/2 binary64) (.f64 a a))))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(.f64 a (.f64 a (fma.f64 x (.f64 x #s(literal 1/24 binary64)) (fma.f64 x (/.f64 #s(literal 1/6 binary64) a) (/.f64 #s(literal 1/2 binary64) (.f64 a a))))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 x x))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) (/.f64 (.f64 x #s(literal 1/6 binary64)) a)) a) a)
(* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))
(.f64 (.f64 a a) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (/.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) a)) a)))
(* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))
(.f64 (.f64 a a) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (/.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) a)) a)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))
(fma.f64 x (fma.f64 a #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 a (*.f64 a x)))) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))
(fma.f64 x (fma.f64 a #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 a (*.f64 a x)))) #s(literal 1/2 binary64))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 x x))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 x (.f64 x (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (/.f64 (.f64 a #s(literal 1/6 binary64)) x))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (fma.f64 a (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (fma.f64 a (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 x x))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 x (.f64 x (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (/.f64 (.f64 a #s(literal 1/6 binary64)) x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(.f64 (.f64 x x) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) (/.f64 (fma.f64 a #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 0 binary64) x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(.f64 (.f64 x x) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) (/.f64 (fma.f64 a #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 0 binary64) x))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(* 1/24 (* a x))
(.f64 x (.f64 a #s(literal 1/24 binary64)))
(* a (+ (* 1/24 x) (* 1/6 (/ 1 a))))
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(* a (+ (* 1/24 x) (* 1/6 (/ 1 a))))
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(* a (+ (* 1/24 x) (* 1/6 (/ 1 a))))
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(* 1/24 (* a x))
(.f64 x (.f64 a #s(literal 1/24 binary64)))
(* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a)))))
(*.f64 (fma.f64 x #s(literal -1/24 binary64) (/.f64 #s(literal -1/6 binary64) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a)))))
(*.f64 (fma.f64 x #s(literal -1/24 binary64) (/.f64 #s(literal -1/6 binary64) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a)))))
(*.f64 (fma.f64 x #s(literal -1/24 binary64) (/.f64 #s(literal -1/6 binary64) a)) (-.f64 #s(literal 0 binary64) a))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(* 1/24 (* a x))
(.f64 x (.f64 a #s(literal 1/24 binary64)))
(* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(* 1/24 (* a x))
(.f64 x (.f64 a #s(literal 1/24 binary64)))
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))
(*.f64 (fma.f64 a #s(literal -1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))
(*.f64 (fma.f64 a #s(literal -1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))
(*.f64 (fma.f64 a #s(literal -1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (fma.f64 a (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) x))
(* 1/24 (* (pow a 4) (pow x 4)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 a (.f64 a a)) a)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(.f64 (.f64 (.f64 a (.f64 a a)) a) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x x)) a) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(.f64 (.f64 (.f64 a (.f64 a a)) a) (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) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))))
(* (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 (.f64 (.f64 a (.f64 a a)) a) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x x)) a) (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (.f64 a a)) (/.f64 x (.f64 a (*.f64 a a)))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 a (.f64 a a)) a)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(.f64 (.f64 (.f64 a (.f64 a a)) a) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x x)) a) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(.f64 (.f64 (.f64 a (.f64 a a)) a) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)) (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) a))) a)))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(.f64 (.f64 (.f64 a (.f64 a a)) a) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)) (/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (/.f64 x a)) a)) a)))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* 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 #s(literal 1/6 binary64) (.f64 a (.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) (.f64 (.f64 a (.f64 a a)) a)) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a)))) (.f64 a (.f64 a #s(literal 1/2 binary64)))) a))
(* 1/24 (* (pow a 4) (pow x 4)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 a (.f64 a a)) a)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 a (.f64 a a)) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 a (.f64 a a)) a))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a a) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 a (.f64 a a)) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 a (.f64 a a)) a)))))
(* (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))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 a (.f64 a a)) x) (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 a (.f64 a a)) a) (fma.f64 (.f64 a a) (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 a (.f64 x (*.f64 x x)))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 a (.f64 a a)) a)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 a (.f64 a a)) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 a (.f64 a a)) a))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 a (.f64 a a)) a)) (/.f64 (fma.f64 a (.f64 a (.f64 a #s(literal -1/6 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a a) x))) x)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 a (.f64 a a)) a)) (/.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (/.f64 a x)) x)) x)))
2
#s(literal 2 binary64)
(+ 2 (* a x))
(fma.f64 a x #s(literal 2 binary64))
(+ 2 (* a (- (* 1/2 (* a (pow x 2))) (* -1 x))))
(fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(+ 2 (* a (- (* a (- (* 1/6 (* a (pow x 3))) (* -1/2 (pow x 2)))) (* -1 x))))
(fma.f64 a (fma.f64 a (fma.f64 a (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) #s(literal 2 binary64))
(- 1 (* -1 (exp (* a x))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(- 1 (* -1 (exp (* a x))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(- 1 (* -1 (exp (* a x))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(- 1 (* -1 (exp (* a x))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(- 1 (* -1 (exp (* a x))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(- 1 (* -1 (exp (* a x))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(- 1 (* -1 (exp (* a x))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(- 1 (* -1 (exp (* a x))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* a x))
(fma.f64 a x #s(literal 2 binary64))
(+ 2 (* x (- (* 1/2 (* (pow a 2) x)) (* -1 a))))
(fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(+ 2 (* x (- (* x (- (* 1/6 (* (pow a 3) x)) (* -1/2 (pow a 2)))) (* -1 a))))
(fma.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 a a))))) a) #s(literal 2 binary64))
(- 1 (* -1 (exp (* a x))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(- 1 (* -1 (exp (* a x))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(- 1 (* -1 (exp (* a x))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(- 1 (* -1 (exp (* a x))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(- 1 (* -1 (exp (* a x))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(- 1 (* -1 (exp (* a x))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(- 1 (* -1 (exp (* a x))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(- 1 (* -1 (exp (* a x))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (* a x)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 a x))
(- (* a (+ (* -1 x) (* -1/2 (* a (pow x 2))))) 1)
(fma.f64 a (-.f64 (.f64 a (.f64 x (*.f64 x #s(literal -1/2 binary64)))) x) #s(literal -1 binary64))
(- (* a (+ (* -1 x) (* a (+ (* -1/2 (pow x 2)) (* -1/6 (* a (pow x 3))))))) 1)
(fma.f64 a (fma.f64 a (fma.f64 a (.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(* -1 (exp (* a x)))
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 a x)))
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(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)) (fma.f64 x (/.f64 #s(literal 1/2 binary64) (.f64 a a)) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) a)))) a) a)
(* 1/24 (* (pow a 2) (pow x 3)))
(.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 x (*.f64 x x)))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) a))) a) 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 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) a) (.f64 (*.f64 x x) #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 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) a) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) a)))
x
(* x (+ 1 (* 1/2 (* a x))))
(.f64 x (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(.f64 x (fma.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))
(.f64 x (fma.f64 a (.f64 x (fma.f64 x (fma.f64 a #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 a (*.f64 a x)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 #s(literal 1/24 binary64) (.f64 a (*.f64 a a))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 a a) x) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a)))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 a (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 a a) x) (.f64 #s(literal 1/24 binary64) (.f64 a (*.f64 a a))))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 a a) x) (fma.f64 a (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 #s(literal 1/24 binary64) (.f64 a (*.f64 a a))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 a a) x) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a)))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a))) (/.f64 (fma.f64 a (.f64 a #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 a x))) x)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a))) (/.f64 (fma.f64 a (.f64 a #s(literal -1/6 binary64)) (/.f64 (fma.f64 a #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))) x)))
x
(+ x (* 1/2 (* a (pow x 2))))
(.f64 x (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(fma.f64 a (fma.f64 a (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))
(fma.f64 a (fma.f64 a (fma.f64 a (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 #s(literal 1/24 binary64) (.f64 a (*.f64 a a))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x x)) a) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (*.f64 x x)) x))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(.f64 (.f64 a (.f64 a a)) (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) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))
(* (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))))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x x)) a) (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (.f64 a a)) (/.f64 x (.f64 a (.f64 a a)))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 #s(literal 1/24 binary64) (.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x x)) a) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (*.f64 x x)) x))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/24 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) a)) a)) (-.f64 #s(literal 0 binary64) (.f64 a (*.f64 a a))))
(* -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)))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/24 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (/.f64 x a)) a)) a)) (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(fma.f64 (.f64 x #s(literal 2 binary64)) (fma.f64 a (.f64 a x) a) #s(literal 1 binary64))
(+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))
(fma.f64 a (fma.f64 a (fma.f64 a (.f64 x (.f64 (.f64 x x) #s(literal 4/3 binary64))) (.f64 x (.f64 x #s(literal 2 binary64)))) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(fma.f64 (.f64 x #s(literal 2 binary64)) (fma.f64 a (.f64 a x) a) #s(literal 1 binary64))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 4/3 binary64)) (.f64 a (.f64 a #s(literal 2 binary64)))) (.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))

eval70.0ms (1.1%)

Memory: -3.8MiB live, 186.9MiB allocated
Compiler: Compiled 11 428 to 946 computations (91.7% saved)

prune76.0ms (1.1%)

Memory

-15.8MiB live, 101.9MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	576	5	581
Fresh	0	3	3
Picked	2	3	5
Done	0	0	0
Total	578	11	589

Accuracy

100.0%

Counts

589 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.7%	(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64))) (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1 binary64)))
▶	100.0%	(/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64)))
▶	60.9%	(.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	59.7%	(.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
▶	17.6%	(.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))
✓	59.7%	(.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
▶	59.7%	(.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	59.7%	(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	61.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	18.3%	#s(literal 0 binary64)

Compiler

Compiled 246 to 155 computations (37% saved)

simplify648.0ms (9.7%)

Memory

10.5MiB live, 884.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) (.f64 x (*.f64 a #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	cost-diff	-64	(.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓	cost-diff	0	(fma.f64 (.f64 a x) (.f64 x (*.f64 a #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 a (.f64 x (fma.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓	cost-diff	-64	(*.f64 a x)
✓	cost-diff	-64	(.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	-64	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	-64	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	-64	(*.f64 a x)
✓	cost-diff	-64	(.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(expm1.f64 (*.f64 a (+.f64 x x)))
✓	cost-diff	7872	(/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64)))

Rules

24 734×	`accelerator-lowering-fma.f32`
24 734×	`accelerator-lowering-fma.f64`
4 022×	`+-lowering-+.f64`
4 022×	`+-lowering-+.f32`
3 024×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	217
1	113	217
2	398	217
3	1441	211
4	2501	204
5	2616	202
6	2700	202
7	2834	202
8	3265	202
9	4042	202
10	6893	202
0	8215	185

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- (exp (* a (+ x x))) 1) (+ (exp (+ (* a x) 0)) 1))
(- (exp (* a (+ x x))) 1)
(* a (+ x x))
a
(+ x x)
x
(+ (exp (+ (* a x) 0)) 1)
(exp (+ (* a x) 0))
(+ (* a x) 0)
0
1
0
(* (* a x) (* a (* x 1/2)))
(* a x)
a
x
(* a (* x 1/2))
(* x 1/2)
1/2
(* (* a x) (+ (* (* a x) (+ (* a (* x 1/6)) 1/2)) 1))
(* a x)
a
x
(+ (* (* a x) (+ (* a (* x 1/6)) 1/2)) 1)
(+ (* a (* x 1/6)) 1/2)
(* x 1/6)
1/6
1/2
1
(* a (* x (+ (* a (* x (+ (* (* a x) (* x (* a 1/24))) 1/2))) 1)))
a
(* x (+ (* a (* x (+ (* (* a x) (* x (* a 1/24))) 1/2))) 1))
x
(+ (* a (* x (+ (* (* a x) (* x (* a 1/24))) 1/2))) 1)
(* x (+ (* (* a x) (* x (* a 1/24))) 1/2))
(+ (* (* a x) (* x (* a 1/24))) 1/2)
(* a x)
(* x (* a 1/24))
(* a 1/24)
1/24
1/2
1

Outputs
(/ (- (exp (* a (+ x x))) 1) (+ (exp (+ (* a x) 0)) 1))
(expm1.f64 (fma.f64 a x #s(literal 0 binary64)))
(- (exp (* a (+ x x))) 1)
(expm1.f64 (fma.f64 a (+.f64 x x) #s(literal 0 binary64)))
(* a (+ x x))
(fma.f64 a (+.f64 x x) #s(literal 0 binary64))
a
(+ x x)
(+.f64 x x)
x
(+ (exp (+ (* a x) 0)) 1)
(+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))
(exp (+ (* a x) 0))
(exp.f64 (fma.f64 a x #s(literal 0 binary64)))
(+ (* a x) 0)
(fma.f64 a x #s(literal 0 binary64))
0
#s(literal 0 binary64)
1
#s(literal 1 binary64)
0
#s(literal 0 binary64)
(* (* a x) (* a (* x 1/2)))
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* a x)
(fma.f64 a x #s(literal 0 binary64))
a
x
(* a (* x 1/2))
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* x 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(* (* a x) (+ (* (* a x) (+ (* a (* x 1/6)) 1/2)) 1))
(fma.f64 a (fma.f64 x (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* a x)
(fma.f64 a x #s(literal 0 binary64))
a
x
(+ (* (* a x) (+ (* a (* x 1/6)) 1/2)) 1)
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ (* a (* x 1/6)) 1/2)
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x 1/6)
(fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64))
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(* a (* x (+ (* a (* x (+ (* (* a x) (* x (* a 1/24))) 1/2))) 1)))
(fma.f64 a (fma.f64 x (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (fma.f64 x (fma.f64 x (fma.f64 a #s(literal 1/24 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
a
(* x (+ (* a (* x (+ (* (* a x) (* x (* a 1/24))) 1/2))) 1))
(fma.f64 x (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (fma.f64 x (fma.f64 x (fma.f64 a #s(literal 1/24 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ (* a (* x (+ (* (* a x) (* x (* a 1/24))) 1/2))) 1)
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (fma.f64 x (fma.f64 x (fma.f64 a #s(literal 1/24 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* x (+ (* (* a x) (* x (* a 1/24))) 1/2))
(fma.f64 x (fma.f64 a (fma.f64 x (fma.f64 x (fma.f64 a #s(literal 1/24 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(+ (* (* a x) (* x (* a 1/24))) 1/2)
(fma.f64 a (fma.f64 x (fma.f64 x (fma.f64 a #s(literal 1/24 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(* a x)
(fma.f64 a x #s(literal 0 binary64))
(* x (* a 1/24))
(fma.f64 x (fma.f64 a #s(literal 1/24 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* a 1/24)
(fma.f64 a #s(literal 1/24 binary64) #s(literal 0 binary64))
1/24
#s(literal 1/24 binary64)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)

localize114.0ms (1.7%)

Memory

-8.4MiB live, 234.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.2%	(.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) (.f64 x (*.f64 a #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	accuracy	98.2%	(.f64 x (fma.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	98.1%	(.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓	accuracy	98.1%	(fma.f64 a (.f64 x (fma.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓	accuracy	99.9%	(.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.9%	(fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.6%	(.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(*.f64 a (+.f64 x x))
✓	accuracy	100.0%	(exp.f64 (fma.f64 a x #s(literal 0 binary64)))
✓	accuracy	100.0%	(expm1.f64 (*.f64 a (+.f64 x x)))
✓	accuracy	100.0%	(/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64)))

Samples

72.0ms

256×

valid

Compiler

Compiled 206 to 35 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 23.0ms (42.9% of total)

ival-add: 14.0ms (26.1% of total)

const: 6.0ms (11.2% of total)

ival-expm1: 5.0ms (9.3% of total)

ival-exp: 3.0ms (5.6% of total)

ival-div: 2.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.5%)

Memory

33.1MiB live, 71.7MiB allocated

Counts

19 → 420

Calls

Call 1

Inputs
#<alt (/ (- (exp (* a (+ x x))) 1) (+ (exp (+ (* a x) 0)) 1))>
#<alt (- (exp (* a (+ x x))) 1)>
#<alt (+ x x)>
#<alt (+ (exp (+ (* a x) 0)) 1)>
#<alt (* (* a x) (* a (* x 1/2)))>
#<alt (* a x)>
#<alt (* a (* x 1/2))>
#<alt (* x 1/2)>
#<alt (+ (* (* a x) (+ (* a (* x 1/6)) 1/2)) 1)>
#<alt (+ (* a (* x 1/6)) 1/2)>
#<alt (* (* a x) (+ (* (* a x) (+ (* a (* x 1/6)) 1/2)) 1))>
#<alt (+ (* a (* x (+ (* (* a x) (* x (* a 1/24))) 1/2))) 1)>
#<alt (+ (* (* a x) (* x (* a 1/24))) 1/2)>
#<alt (* a (* x (+ (* a (* x (+ (* (* a x) (* x (* a 1/24))) 1/2))) 1)))>
#<alt (* x (+ (* a (* x (+ (* (* a x) (* x (* a 1/24))) 1/2))) 1))>
#<alt (exp (+ (* a x) 0))>
#<alt (* a (+ x x))>
#<alt (* x 1/6)>
#<alt (* x (+ (* (* a x) (* x (* a 1/24))) 1/2))>

Outputs
#<alt (* a x)>
#<alt (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (* a x)>
#<alt (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (* 2 (* a x))>
#<alt (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))>
#<alt (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))>
#<alt (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (* 2 (* a x))>
#<alt (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))>
#<alt (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))>
#<alt (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))>
#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))>
#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (* 1/6 (* a x))>
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* 1/6 (* a x))>
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (* 1/6 (* a x))>
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (* a x))>
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* a (+ (* 1/24 (* (pow a 2) (pow x 3))) (* 1/2 x))))>
#<alt (+ 1 (* a (+ (* 1/24 (* (pow a 2) (pow x 3))) (* 1/2 x))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/2 (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/2 (/ x (pow a 2))) (/ 1 (pow a 3)))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/2 (/ x (pow a 2))) (/ 1 (pow a 3)))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ x (pow a 2))) (* -1/24 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (- (+ (* -1/2 (/ x (pow a 2))) (* -1/24 (pow x 3))) (/ 1 (pow a 3)))))>
#<alt (* -1 (* (pow a 3) (- (+ (* -1/2 (/ x (pow a 2))) (* -1/24 (pow x 3))) (/ 1 (pow a 3)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* x (+ (* 1/24 (* (pow a 3) (pow x 2))) (* 1/2 a))))>
#<alt (+ 1 (* x (+ (* 1/24 (* (pow a 3) (pow x 2))) (* 1/2 a))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/2 (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3)))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ a (pow x 2))) (* -1/24 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (- (+ (* -1/2 (/ a (pow x 2))) (* -1/24 (pow a 3))) (/ 1 (pow x 3)))))>
#<alt (* -1 (* (pow x 3) (- (+ (* -1/2 (/ a (pow x 2))) (* -1/24 (pow a 3))) (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (* (pow a 2) (pow x 2))))>
#<alt (+ 1/2 (* 1/24 (* (pow a 2) (pow x 2))))>
#<alt (+ 1/2 (* 1/24 (* (pow a 2) (pow x 2))))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/2 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/2 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/2 (/ 1 (pow a 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/2 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/2 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/2 (/ 1 (pow a 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (* (pow a 2) (pow x 2))))>
#<alt (+ 1/2 (* 1/24 (* (pow a 2) (pow x 2))))>
#<alt (+ 1/2 (* 1/24 (* (pow a 2) (pow x 2))))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/24 (* (pow a 2) (pow x 4))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/24 (* (pow a 2) (pow x 4))) (* 1/2 (pow x 2))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/2 (/ (pow x 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3)))))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3)))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/2 (/ (pow x 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3)))))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3)))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/24 (* (pow a 4) (pow x 2))) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/24 (* (pow a 4) (pow x 2))) (* 1/2 (pow a 2))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/2 (/ (pow a 2) (pow x 2)))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3)))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3)))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/2 (/ (pow a 2) (pow x 2)))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3)))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* x (+ (* 1/24 (* (pow a 3) (pow x 2))) (* 1/2 a)))))>
#<alt (* x (+ 1 (* x (+ (* 1/24 (* (pow a 3) (pow x 2))) (* 1/2 a)))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/2 (/ a (pow x 2)))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3)))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3)))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/2 (/ a (pow x 2)))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3)))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3)))))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* a (+ (* 1/24 (* (pow a 2) (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (+ x (* a (+ (* 1/24 (* (pow a 2) (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/2 (/ (pow x 2) (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3)))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3)))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) (pow a 2))) (* -1/24 (pow x 4)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ x (pow a 3))) (+ (* -1/2 (/ (pow x 2) (pow a 2))) (* -1/24 (pow x 4))))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ x (pow a 3))) (+ (* -1/2 (/ (pow x 2) (pow a 2))) (* -1/24 (pow x 4))))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (* (pow a 2) (pow x 2)))))>
#<alt (* x (+ 1/2 (* 1/24 (* (pow a 2) (pow x 2)))))>
#<alt (* x (+ 1/2 (* 1/24 (* (pow a 2) (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (- (* -1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (* -1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (* -1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/24 (* (pow a 2) (pow x 3))) (* 1/2 x))>
#<alt (+ (* 1/24 (* (pow a 2) (pow x 3))) (* 1/2 x))>
#<alt (+ (* 1/24 (* (pow a 2) (pow x 3))) (* 1/2 x))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/2 (/ x (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/2 (/ x (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/2 (/ x (pow a 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/2 (/ x (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/2 (/ x (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/2 (/ x (pow a 2)))))>

Calls

105 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(+ (* (* a x) (+ (* a (* x 1/6)) 1/2)) 1)
2.0ms	a	@	inf	(+ (* a (* x 1/6)) 1/2)
1.0ms	a	@	0	(* (* a x) (* a (* x 1/2)))
1.0ms	a	@	0	(/ (- (exp (* a (+ x x))) 1) (+ (exp (+ (* a x) 0)) 1))
1.0ms	x	@	0	(* (* a x) (* a (* x 1/2)))

rewrite38.0ms (0.6%)

Memory

-14.1MiB live, 66.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

158×	`-lowering-.f32`
158×	`-lowering-.f64`
80×	`+-lowering-+.f64`
80×	`+-lowering-+.f32`
68×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	182
0	206	165

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

19 → 96

Calls

Call 1

Inputs
(/ (- (exp (* a (+ x x))) 1) (+ (exp (+ (* a x) 0)) 1))
(- (exp (* a (+ x x))) 1)
(+ x x)
(+ (exp (+ (* a x) 0)) 1)
(* (* a x) (* a (* x 1/2)))
(* a x)
(* a (* x 1/2))
(* x 1/2)
(+ (* (* a x) (+ (* a (* x 1/6)) 1/2)) 1)
(+ (* a (* x 1/6)) 1/2)
(* (* a x) (+ (* (* a x) (+ (* a (* x 1/6)) 1/2)) 1))
(+ (* a (* x (+ (* (* a x) (* x (* a 1/24))) 1/2))) 1)
(+ (* (* a x) (* x (* a 1/24))) 1/2)
(* a (* x (+ (* a (* x (+ (* (* a x) (* x (* a 1/24))) 1/2))) 1)))
(* x (+ (* a (* x (+ (* (* a x) (* x (* a 1/24))) 1/2))) 1))
(exp (+ (* a x) 0))
(* a (+ x x))
(* x 1/6)
(* x (+ (* (* a x) (* x (* a 1/24))) 1/2))

Outputs
(-.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))) (expm1.f64 (*.f64 a (+.f64 x x)))))
(/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))))
(.f64 (expm1.f64 (.f64 a (+.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))))
(+.f64 (exp.f64 (*.f64 a (+.f64 x x))) #s(literal -1 binary64))
(-.f64 (exp.f64 (*.f64 a (+.f64 x x))) #s(literal 1 binary64))
(expm1.f64 (*.f64 a (+.f64 x x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 a (+.f64 x x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 a (+.f64 x x))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a (+.f64 x x)))) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) #s(literal 1 binary64)))
(+.f64 x x)
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))
(+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) (exp.f64 (fma.f64 a x #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1 binary64)) (expm1.f64 (fma.f64 a x #s(literal 0 binary64))))
(.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(.f64 (fma.f64 a x #s(literal 0 binary64)) (.f64 a (*.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64))) (fma.f64 a x #s(literal 0 binary64)))
(.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) a) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 a x #s(literal 0 binary64)))
(fma.f64 a x #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a x #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 a x)
(*.f64 x a)
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) a)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 a x #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) a #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/6 binary64)) (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/6 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/6 binary64)) (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/6 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 a x #s(literal 0 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 0 binary64))))
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 a x #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 0 binary64))))
(.f64 a (.f64 x (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a x #s(literal 0 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))
(+.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 a (.f64 x (fma.f64 a (.f64 x (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x (fma.f64 a (.f64 x (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64)))))
(+.f64 (.f64 a (.f64 x (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64))
(fma.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64)) (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) x) (.f64 a #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64)))) (.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 x (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64)))) (.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))))) #s(literal 1/4 binary64)) (-.f64 (.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)))
(.f64 a (.f64 x (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) a)
(+.f64 (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 x #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) x (.f64 #s(literal 1 binary64) x))
(.f64 x (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(exp.f64 (fma.f64 a x #s(literal 0 binary64)))
(*.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64))
(+.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a x #s(literal 0 binary64)))
(fma.f64 a x (fma.f64 a x #s(literal 0 binary64)))
(fma.f64 x a (fma.f64 a x #s(literal 0 binary64)))
(*.f64 a (+.f64 x x))
(*.f64 (+.f64 x x) a)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(+.f64 (.f64 x (.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))))) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64)))) x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x (.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64)))) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 a (.f64 x (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64)))) x (.f64 x #s(literal 1/2 binary64)))
(.f64 x (fma.f64 a (.f64 x (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(.f64 (fma.f64 a (.f64 x (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x)

simplify560.0ms (8.4%)

Memory

33.4MiB live, 890.4MiB allocated

Algorithm

1×	egg-herbie

Rules

17 934×	`accelerator-lowering-fma.f32`
17 934×	`accelerator-lowering-fma.f64`
6 648×	`-lowering-.f32`
6 648×	`-lowering-.f64`
4 796×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	385	4431
1	1274	4303
2	4200	4167
0	8235	3851

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

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

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64)))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) x))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64)))))) (.f64 x #s(literal -1/2 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64))))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) x))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(* a x)
(*.f64 a x)
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (fma.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (*.f64 a #s(literal -1/2 binary64)))))))) a))
(* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a (.f64 a (.f64 a #s(literal 1/2 binary64))))) (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 a #s(literal -1/2 binary64)))))) (.f64 a #s(literal -1/2 binary64)))) (fma.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 a #s(literal -1/2 binary64))))))) (.f64 a (*.f64 a #s(literal 1/2 binary64)))) a))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(.f64 (.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 a x #s(literal 1 binary64)) a))
(* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))
(.f64 a (fma.f64 a (fma.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64)) (.f64 #s(literal 2/3 binary64) (.f64 a (.f64 a (.f64 (.f64 x x) (.f64 x x)))))) (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(.f64 (.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 a x #s(literal 1 binary64)) a))
(* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))
(.f64 x (fma.f64 x (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 4/3 binary64))) (.f64 #s(literal 2 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) a))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 a (.f64 (.f64 a a) #s(literal 4/3 binary64)) (.f64 x (.f64 #s(literal 2/3 binary64) (.f64 (.f64 a a) (.f64 a a))))) (.f64 #s(literal 2 binary64) (.f64 a a))) (*.f64 a #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* a x))
(fma.f64 a x #s(literal 2 binary64))
(+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 2 binary64))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
2
#s(literal 2 binary64)
(+ 2 (* a x))
(fma.f64 a x #s(literal 2 binary64))
(+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 2 binary64))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))))
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(.f64 (.f64 a (.f64 a a)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 a a)))))
(* -1 (* (pow a 3) (- (+ (* -1/2 (/ x (pow a 2))) (* -1/24 (pow x 3))) (/ 1 (pow a 3)))))
(fma.f64 (.f64 a (.f64 a a)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))) #s(literal 1 binary64))
(* -1 (* (pow a 3) (- (+ (* -1/2 (/ x (pow a 2))) (* -1/24 (pow x 3))) (/ 1 (pow a 3)))))
(fma.f64 (.f64 a (.f64 a a)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/24 (* (pow a 3) (pow x 2))) (* 1/2 a))))
(fma.f64 a (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/24 (* (pow a 3) (pow x 2))) (* 1/2 a))))
(fma.f64 a (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* 1/24 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/24 binary64))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/2 (/ a (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (.f64 a (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3)))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 a (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3)))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 a (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(* 1/24 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/24 binary64))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a (pow x 2))) (* -1/24 (pow a 3)))))
(.f64 (.f64 x (.f64 x x)) (.f64 a (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- (+ (* -1/2 (/ a (pow x 2))) (* -1/24 (pow a 3))) (/ 1 (pow x 3)))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 a (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(* -1 (* (pow x 3) (- (+ (* -1/2 (/ a (pow x 2))) (* -1/24 (pow a 3))) (/ 1 (pow x 3)))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 a (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (* (pow a 2) (pow x 2))))
(fma.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (* (pow a 2) (pow x 2))))
(fma.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (* (pow a 2) (pow x 2))))
(fma.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/2 (/ 1 (pow a 2)))))
(fma.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/2 (/ 1 (pow a 2)))))
(fma.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/2 (/ 1 (pow a 2)))))
(fma.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/2 (/ 1 (pow a 2)))))
(fma.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/2 (/ 1 (pow a 2)))))
(fma.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/2 (/ 1 (pow a 2)))))
(fma.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (* (pow a 2) (pow x 2))))
(fma.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (* (pow a 2) (pow x 2))))
(fma.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (* (pow a 2) (pow x 2))))
(fma.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* a (+ x (* a (+ (* 1/24 (* (pow a 2) (pow x 4))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/24 binary64)))) x))
(* a (+ x (* a (+ (* 1/24 (* (pow a 2) (pow x 4))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/24 binary64)))) x))
(* 1/24 (* (pow a 4) (pow x 4)))
(.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/2 (/ (pow x 2) (pow a 2)))))
(.f64 (.f64 (.f64 a a) (.f64 a a)) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 a a)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3)))))
(.f64 (.f64 (.f64 a a) (.f64 a a)) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 a a)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64) (/.f64 x (.f64 a (*.f64 a a))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3)))))
(.f64 (.f64 (.f64 a a) (.f64 a a)) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 a a)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64) (/.f64 x (.f64 a (*.f64 a a))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/2 (/ (pow x 2) (pow a 2)))))
(.f64 (.f64 (.f64 a a) (.f64 a a)) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 a a)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3)))))
(.f64 (.f64 (.f64 a a) (.f64 a a)) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 a a)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64) (/.f64 x (.f64 a (*.f64 a a))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3)))))
(.f64 (.f64 (.f64 a a) (.f64 a a)) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 a a)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64) (/.f64 x (.f64 a (*.f64 a a))))))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* x (+ a (* x (+ (* 1/24 (* (pow a 4) (pow x 2))) (* 1/2 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/24 binary64)))) a))
(* x (+ a (* x (+ (* 1/24 (* (pow a 4) (pow x 2))) (* 1/2 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/24 binary64)))) a))
(* 1/24 (* (pow a 4) (pow x 4)))
(.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/2 (/ (pow a 2) (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 a a) (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/24 binary64))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a a) (.f64 x x)) (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/24 binary64) (/.f64 a (.f64 x (*.f64 x x))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a a) (.f64 x x)) (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/24 binary64) (/.f64 a (.f64 x (*.f64 x x))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/2 (/ (pow a 2) (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 a a) (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/24 binary64))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a a) (.f64 x x)) (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/24 binary64) (/.f64 a (.f64 x (*.f64 x x))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a a) (.f64 x x)) (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/24 binary64) (/.f64 a (.f64 x (*.f64 x x))))))
x
(* x (+ 1 (* 1/2 (* a x))))
(.f64 x (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (+ (* 1/24 (* (pow a 3) (pow x 2))) (* 1/2 a)))))
(.f64 x (fma.f64 a (.f64 x (fma.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(* x (+ 1 (* x (+ (* 1/24 (* (pow a 3) (pow x 2))) (* 1/2 a)))))
(.f64 x (fma.f64 a (.f64 x (fma.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a (*.f64 a a)) #s(literal 1/24 binary64)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/2 (/ a (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 a (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 a (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 a (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a (*.f64 a a)) #s(literal 1/24 binary64)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/2 (/ a (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 a (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 a (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 a (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
x
(+ x (* 1/2 (* a (pow x 2))))
(.f64 x (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+ x (* a (+ (* 1/24 (* (pow a 2) (pow x 4))) (* 1/2 (pow x 2)))))
(fma.f64 a (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 a a) #s(literal 1/24 binary64)))) x)
(+ x (* a (+ (* 1/24 (* (pow a 2) (pow x 4))) (* 1/2 (pow x 2)))))
(fma.f64 a (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 a a) #s(literal 1/24 binary64)))) x)
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a (*.f64 a a)) #s(literal 1/24 binary64)))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/2 (/ (pow x 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 a a)) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3)))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 a a)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64) (/.f64 x (.f64 a (.f64 a a))))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3)))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 a a)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64) (/.f64 x (.f64 a (.f64 a a))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a (*.f64 a a)) #s(literal 1/24 binary64)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) (pow a 2))) (* -1/24 (pow x 4)))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 a a)) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64))))
(* -1 (* (pow a 3) (+ (* -1 (/ x (pow a 3))) (+ (* -1/2 (/ (pow x 2) (pow a 2))) (* -1/24 (pow x 4))))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 a a)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64) (/.f64 x (.f64 a (.f64 a a))))))
(* -1 (* (pow a 3) (+ (* -1 (/ x (pow a 3))) (+ (* -1/2 (/ (pow x 2) (pow a 2))) (* -1/24 (pow x 4))))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 a a)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64) (/.f64 x (.f64 a (.f64 a a))))))
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 (.f64 x (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #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 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 (.f64 x (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 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))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (* (pow a 2) (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/24 (* (pow a 2) (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/24 (* (pow a 2) (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(* 1/24 (* (pow a 2) (pow x 3)))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64)))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(* 1/24 (* (pow a 2) (pow x 3)))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64)))))
(* -1 (* (pow x 3) (- (* -1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a a) #s(literal -1/24 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(* -1 (* (pow x 3) (- (* -1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a a) #s(literal -1/24 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(* -1 (* (pow x 3) (- (* -1/24 (pow a 2)) (* 1/2 (/ 1 (pow x 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a a) #s(literal -1/24 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* 1/24 (* (pow a 2) (pow x 3))) (* 1/2 x))
(.f64 x (fma.f64 x (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(+ (* 1/24 (* (pow a 2) (pow x 3))) (* 1/2 x))
(.f64 x (fma.f64 x (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(+ (* 1/24 (* (pow a 2) (pow x 3))) (* 1/2 x))
(.f64 x (fma.f64 x (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(* 1/24 (* (pow a 2) (pow x 3)))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64)))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/2 (/ x (pow a 2)))))
(.f64 (.f64 a a) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/2 (/ x (pow a 2)))))
(.f64 (.f64 a a) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/2 (/ x (pow a 2)))))
(.f64 (.f64 a a) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64)))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/2 (/ x (pow a 2)))))
(.f64 (.f64 a a) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/2 (/ x (pow a 2)))))
(.f64 (.f64 a a) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/2 (/ x (pow a 2)))))
(.f64 (.f64 a a) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))))

eval80.0ms (1.2%)

Memory: -4.9MiB live, 124.0MiB allocated
Compiler: Compiled 10 197 to 656 computations (93.6% saved)

prune30.0ms (0.5%)

Memory

-0.2MiB live, 75.7MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	610	2	612
Fresh	0	3	3
Picked	1	4	5
Done	0	3	3
Total	611	12	623

Accuracy

100.0%

Counts

623 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.7%	(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64))) (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1 binary64)))
▶	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
✓	60.9%	(.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
▶	60.6%	(.f64 (.f64 a x) (fma.f64 (.f64 a x) (.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓	59.7%	(.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	17.6%	(.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))
✓	59.7%	(.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓	59.7%	(.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
▶	59.7%	(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶	61.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	18.3%	#s(literal 0 binary64)

Compiler

Compiled 224 to 138 computations (38.4% saved)

simplify396.0ms (5.9%)

Memory

-10.1MiB live, 617.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(fma.f64 a x #s(literal 0 binary64))
✓	cost-diff	320	(*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1 binary64))
✓	cost-diff	384	(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64))) (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1 binary64)))
✓	cost-diff	-64	(.f64 a (.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	-64	(*.f64 a x)
✓	cost-diff	-64	(.f64 (.f64 a x) (fma.f64 (.f64 a x) (.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 a x) (.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
✓	cost-diff	-64	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	-64	(.f64 x (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	-64	(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	-64	(*.f64 a x)
✓	cost-diff	0	(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(expm1.f64 (*.f64 a (+.f64 x x)))
✓	cost-diff	7872	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))

Rules

15 586×	`accelerator-lowering-fma.f32`
15 586×	`accelerator-lowering-fma.f64`
3 350×	`-lowering-.f32`
3 350×	`-lowering-.f64`
2 044×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	157
1	85	157
2	288	157
3	830	153
4	1054	146
5	1160	144
6	1487	144
7	2254	144
8	4160	144
9	7290	144
0	8078	134

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1))
(- (exp (* a (+ x x))) 1)
(* a (+ x x))
a
(+ x x)
x
(+ (exp (* a x)) 1)
(exp (* a x))
(* a x)
1
(* a x)
a
x
(* a (* x (+ (* a (* x 1/2)) 1)))
a
(* x (+ (* a (* x 1/2)) 1))
x
(+ (* a (* x 1/2)) 1)
(* x 1/2)
1/2
1
(* (* a x) (+ (* (* a x) (* a (* x 1/6))) 1))
(* a x)
a
x
(+ (* (* a x) (* a (* x 1/6))) 1)
(* a (* x 1/6))
(* x 1/6)
1/6
1
(+ (* (+ (* a x) 0) (* a (* x 1/2))) (* (+ (* a x) 0) 1))
(+ (* a x) 0)
a
x
0
(* a (* x 1/2))
(* x 1/2)
1/2
(* (+ (* a x) 0) 1)
1

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

localize120.0ms (1.8%)

Memory

33.5MiB live, 111.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	90.5%	(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64))) (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 a x) (fma.f64 (.f64 a x) (.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓	accuracy	99.9%	(fma.f64 (.f64 a x) (.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
✓	accuracy	99.7%	(.f64 a (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	99.9%	(.f64 x (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.2%	(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(exp.f64 (*.f64 a x))
✓	accuracy	100.0%	(expm1.f64 (*.f64 a (+.f64 x x)))
✓	accuracy	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))

Samples

84.0ms

256×

valid

Compiler

Compiled 159 to 29 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 52.0ms (76.7% of total)

ival-add: 7.0ms (10.3% of total)

const: 4.0ms (5.9% of total)

ival-div: 2.0ms (3% of total)

ival-exp: 2.0ms (3% of total)

ival-expm1: 2.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

-21.0MiB live, 16.9MiB allocated

Counts

18 → 396

Calls

Call 1

Inputs
#<alt (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1))>
#<alt (- (exp (* a (+ x x))) 1)>
#<alt (+ x x)>
#<alt (+ (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (+ (* a (* x 1/2)) 1)>
#<alt (* a (* x (+ (* a (* x 1/2)) 1)))>
#<alt (* x (+ (* a (* x 1/2)) 1))>
#<alt (* x 1/2)>
#<alt (+ (* (* a x) (* a (* x 1/6))) 1)>
#<alt (* (* a x) (+ (* (* a x) (* a (* x 1/6))) 1))>
#<alt (* a (* x 1/6))>
#<alt (+ (* (+ (* a x) 0) (* a (* x 1/2))) (* (+ (* a x) 0) 1))>
#<alt (* (+ (* a x) 0) 1)>
#<alt (+ (* a x) 0)>
#<alt (* a (* x 1/2))>
#<alt (exp (* a x))>
#<alt (* x 1/6)>

Outputs
#<alt (* a x)>
#<alt (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (* a x)>
#<alt (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (* 2 (* a x))>
#<alt (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))>
#<alt (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))>
#<alt (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (* 2 (* a x))>
#<alt (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))>
#<alt (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))>
#<alt (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (* 1/2 (* a x))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* 1/2 (* a x))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (* 1/2 (* a x))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* 1/2 (* a x))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 1>
#<alt (+ 1 (* 1/6 (* (pow a 2) (pow x 2))))>
#<alt (+ 1 (* 1/6 (* (pow a 2) (pow x 2))))>
#<alt (+ 1 (* 1/6 (* (pow a 2) (pow x 2))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (* (pow a 2) (pow x 2))))>
#<alt (+ 1 (* 1/6 (* (pow a 2) (pow x 2))))>
#<alt (+ 1 (* 1/6 (* (pow a 2) (pow x 2))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/6 (* (pow a 2) (pow x 3)))))>
#<alt (* a (+ x (* 1/6 (* (pow a 2) (pow x 3)))))>
#<alt (* a (+ x (* 1/6 (* (pow a 2) (pow x 3)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ x (pow a 2))) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ x (pow a 2))) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ x (pow a 2))) (* -1/6 (pow x 3)))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/6 (* (pow a 3) (pow x 2)))))>
#<alt (* x (+ a (* 1/6 (* (pow a 3) (pow x 2)))))>
#<alt (* x (+ a (* 1/6 (* (pow a 3) (pow x 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (/ a (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (/ a (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (/ a (pow x 2))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* -1/6 (pow a 3)))))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>

Calls

99 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+ (* a (* x 1/2)) 1)
0.0ms	a	@	0	(* (* a x) (+ (* (* a x) (* a (* x 1/6))) 1))
0.0ms	x	@	inf	(* (* a x) (+ (* (* a x) (* a (* x 1/6))) 1))
0.0ms	a	@	inf	(* (* a x) (+ (* (* a x) (* a (* x 1/6))) 1))
0.0ms	x	@	0	(* (* a x) (+ (* (* a x) (* a (* x 1/6))) 1))

rewrite33.0ms (0.5%)

Memory

8.2MiB live, 46.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

110×	`-lowering-.f32`
110×	`-lowering-.f64`
66×	`accelerator-lowering-fma.f32`
66×	`accelerator-lowering-fma.f64`
64×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	125
0	171	115

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

18 → 122

Calls

Call 1

Inputs
(/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1))
(- (exp (* a (+ x x))) 1)
(+ x x)
(+ (exp (* a x)) 1)
(* a x)
(+ (* a (* x 1/2)) 1)
(* a (* x (+ (* a (* x 1/2)) 1)))
(* x (+ (* a (* x 1/2)) 1))
(* x 1/2)
(+ (* (* a x) (* a (* x 1/6))) 1)
(* (* a x) (+ (* (* a x) (* a (* x 1/6))) 1))
(* a (* x 1/6))
(+ (* (+ (* a x) 0) (* a (* x 1/2))) (* (+ (* a x) 0) 1))
(* (+ (* a x) 0) 1)
(+ (* a x) 0)
(* a (* x 1/2))
(exp (* a x))
(* x 1/6)

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

simplify923.0ms (13.8%)

Memory

13.4MiB live, 712.7MiB allocated

Algorithm

1×	egg-herbie

Rules

16 206×	`accelerator-lowering-fma.f32`
16 206×	`accelerator-lowering-fma.f64`
5 212×	`-lowering-.f32`
5 212×	`-lowering-.f64`
3 366×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	241	3188
1	772	2940
2	2277	2918
3	6126	2918
0	8448	2690

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))) (.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 5/12 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))) x))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))) (.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 5/12 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)))) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))) (.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 5/12 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))) x))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(* a x)
(*.f64 a x)
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (fma.f64 a #s(literal -1/2 binary64) #s(literal 0 binary64)))) (.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 5/12 binary64))) (.f64 a (*.f64 a #s(literal 1/2 binary64)))) a))
(* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a (.f64 a (.f64 a #s(literal 1/2 binary64))))) (.f64 (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (fma.f64 a #s(literal -1/2 binary64) #s(literal 0 binary64)))) (.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 5/12 binary64))) (fma.f64 a #s(literal -1/2 binary64) #s(literal 0 binary64)))) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (fma.f64 a #s(literal -1/2 binary64) #s(literal 0 binary64)))) (.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 5/12 binary64)))) #s(literal 0 binary64))) a))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 (fma.f64 a x #s(literal 1 binary64)) a) x))
(* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64))) (.f64 x #s(literal 2 binary64))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))
(.f64 a (fma.f64 a (fma.f64 a (.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (.f64 a #s(literal 2/3 binary64))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 (fma.f64 a x #s(literal 1 binary64)) a) x))
(* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (.f64 x #s(literal 4/3 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 a a #s(literal 0 binary64)))) (*.f64 a #s(literal 2 binary64))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))
(.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 #s(literal 2/3 binary64) (.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64)))) (.f64 a (.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal 4/3 binary64)))) (.f64 #s(literal 2 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) a))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
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(.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a (.f64 a (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (/ a (pow x 2))))
(.f64 a (.f64 x (fma.f64 a (.f64 a (.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (/ a (pow x 2))))
(.f64 a (.f64 x (fma.f64 a (.f64 a (.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (/ a (pow x 2))))
(.f64 a (.f64 x (fma.f64 a (.f64 a (.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a (.f64 a (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* -1/6 (pow a 3)))))
(.f64 a (.f64 x (fma.f64 a (.f64 a (.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))))
(* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* -1/6 (pow a 3)))))
(.f64 a (.f64 x (fma.f64 a (.f64 a (.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))))
(* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* -1/6 (pow a 3)))))
(.f64 a (.f64 x (fma.f64 a (.f64 a (.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 a (fma.f64 x x #s(literal 0 binary64)))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 a (fma.f64 x x #s(literal 0 binary64)))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 a (fma.f64 x x #s(literal 0 binary64)))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 a (fma.f64 x x #s(literal 0 binary64)))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* 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)
(*.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)
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
1
#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 (.f64 x (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #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 (fma.f64 x x #s(literal 0 binary64)) (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 (.f64 x (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 a (fma.f64 a (.f64 (fma.f64 x x #s(literal 0 binary64)) (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))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))

eval77.0ms (1.2%)

Memory: -4.6MiB live, 147.7MiB allocated
Compiler: Compiled 9 613 to 458 computations (95.2% saved)

prune31.0ms (0.5%)

Memory

27.5MiB live, 66.1MiB allocated

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	674	2	676
Fresh	0	0	0
Picked	1	4	5
Done	0	7	7
Total	675	13	688

Accuracy

100.0%

Counts

688 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.7%	(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64))) (*.f64 x a))
	29.7%	(/.f64 (-.f64 (*.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a x #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 0 binary64)))
✓	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
✓	60.9%	(.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	60.6%	(.f64 (.f64 a x) (fma.f64 (.f64 a x) (.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓	59.7%	(.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	17.6%	(.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))
✓	59.7%	(.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓	59.7%	(.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓	59.7%	(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	61.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	18.3%	#s(literal 0 binary64)

Compiler

Compiled 388 to 171 computations (55.9% saved)

regimes32.0ms (0.5%)

Memory

-28.5MiB live, 48.1MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64))) (*.f64 x a))
(.f64 (.f64 a x) (fma.f64 (.f64 a x) (.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64))) (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a x #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 0 binary64)))
(.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 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 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64)))
(/.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 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64)))))

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

Calls

5 calls:

9.0ms	a
8.0ms	(*.f64 a x)
5.0ms	x
4.0ms	(exp.f64 (*.f64 a x))
4.0ms	(-.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)

regimes42.0ms (0.6%)

Memory

-10.9MiB live, 39.6MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64))) (*.f64 x a))
(.f64 (.f64 a x) (fma.f64 (.f64 a x) (.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64))) (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a x #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 0 binary64)))
(.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 a (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))

Outputs
(*.f64 a x)

Calls

5 calls:

26.0ms	a
4.0ms	x
4.0ms	(*.f64 a x)
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
3.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
61.1%	1	`a`
61.1%	1	`x`
61.1%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
61.1%	1	`(exp.f64 (*.f64 a x))`
61.1%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes7.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
#s(literal 0 binary64)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
18.3%	1	`(*.f64 a x)`
18.3%	1	`a`
18.3%	1	`x`
18.3%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
18.3%	1	`(exp.f64 (*.f64 a x))`

Compiler

Compiled 25 to 17 computations (32% saved)

simplify6.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	6	8

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
#s(literal 0 binary64)

Outputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
#s(literal 0 binary64)

soundness602.0ms (9%)

Memory

-19.4MiB live, 173.7MiB allocated

Rules

8 560×	`accelerator-lowering-fma.f32`
8 560×	`accelerator-lowering-fma.f64`
3 454×	`associate-r`
2 992×	`-lowering-.f32`
2 992×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	186
0	237	164
0	63	432
1	195	432
2	526	424
3	1050	424
4	1650	424
5	1848	424
6	1875	424
7	1895	424
8	1909	424
9	1912	424
10	1912	424
11	2607	420
12	3082	420
13	4049	420
14	4050	420
15	4050	420
16	4178	420
17	4178	420
18	6095	416
19	6319	416
20	6361	416
21	6375	416
22	6375	416
23	6551	416
24	6889	416
25	6889	416
26	7463	416
0	7463	360

Stop Event

1×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Compiler

Compiled 29 to 19 computations (34.5% saved)

preprocess44.0ms (0.7%)

Memory: 25.3MiB live, 63.3MiB allocated
Remove: (sort a x)
Compiler: Compiled 60 to 38 computations (36.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	42
1	45	42
2	75	40
3	110	40
4	143	40
5	167	40
6	206	40
7	228	40
8	242	40
9	253	40
10	254	40
0	6	6
1	14	6
2	17	6
0	17	4

Iter	Nodes	Cost
0	19	42
1	45	42
2	75	40
3	110	40
4	143	40
5	167	40
6	206	40
7	228	40
8	242	40
9	253	40
10	254	40
0	6	6
1	14	6
2	17	6
0	17	4

analyze17.0ms (0.3%)

sample582.0ms (8.7%)

preprocess16.0ms (0.2%)

explain328.0ms (4.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize20.0ms (0.3%)

series4.0ms (0.1%)

rewrite99.0ms (1.5%)

simplify332.0ms (5%)

eval24.0ms (0.4%)

prune21.0ms (0.3%)

simplify506.0ms (7.6%)

localize157.0ms (2.3%)

series37.0ms (0.6%)

rewrite37.0ms (0.5%)

simplify536.0ms (8%)

eval70.0ms (1.1%)

prune76.0ms (1.1%)

simplify648.0ms (9.7%)

localize114.0ms (1.7%)

series31.0ms (0.5%)

rewrite38.0ms (0.6%)

simplify560.0ms (8.4%)

eval80.0ms (1.2%)

prune30.0ms (0.5%)

simplify396.0ms (5.9%)

localize120.0ms (1.8%)

series12.0ms (0.2%)

rewrite33.0ms (0.5%)

simplify923.0ms (13.8%)

eval77.0ms (1.2%)

prune31.0ms (0.5%)

regimes32.0ms (0.5%)

regimes42.0ms (0.6%)

regimes7.0ms (0.1%)

simplify6.0ms (0.1%)

soundness602.0ms (9%)

preprocess44.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	42
1	45	42
2	75	40
3	110	40
4	143	40
5	167	40
6	206	40
7	228	40
8	242	40
9	253	40
10	254	40
0	6	6
1	14	6
2	17	6
0	17	4