Metrics for expax (section 3.5)

analyze18.0ms (0.2%)

Memory

6.8MiB live, 46.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample782.0ms (7.3%)

Memory

-35.7MiB live, 784.7MiB allocated

Samples

570.0ms	8 256×	0	valid
13.0ms	336×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-mult: 74.0ms (40.9% of total)

ival-expm1: 53.0ms (29.3% of total)

ival->: 45.0ms (24.9% of total)

exact: 6.0ms (3.3% of total)

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

Bogosity

preprocess20.0ms (0.2%)

Memory

-8.7MiB live, 32.7MiB 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)

explain78.0ms (0.7%)

Memory

9.1MiB live, 162.1MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	146	0

Confusion

	Predicted +	Predicted -
+	146	0
-	0	110

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	146	0	0
-	0	0	110

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	110
1	146

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 52 to 28 computations (46.2% saved)

Precisions

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

ival-exp: 5.0ms (38.8% of total)

ival-mult: 4.0ms (31% of total)

ival-expm1: 3.0ms (23.3% 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.8%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0%)

Memory

9.8MiB live, 9.8MiB 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)

localize21.0ms (0.2%)

Memory

11.8MiB live, 48.4MiB 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	48.8%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

12.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

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

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

ival-expm1: 2.0ms (36.4% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

9.4MiB live, 9.4MiB 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	@	inf	(* a x)
0.0ms	a	@	0	(- (exp (* a x)) 1)
0.0ms	x	@	0	(- (exp (* a x)) 1)
0.0ms	x	@	inf	(* a x)
0.0ms	a	@	0	(* a x)

rewrite119.0ms (1.1%)

Memory

-24.2MiB live, 153.3MiB 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))
(/.f64 (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))))))
(/.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)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a (+.f64 x x))) (.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a x #s(literal 0 binary64))))))
(/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.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))) (fma.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 (.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 (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 (/.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) (+.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 #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 (.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)))))))
(.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64))))))
(.f64 (expm1.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 (+.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 #s(literal 1 binary64) (+.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)) (/.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))))
(.f64 (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (expm1.f64 (*.f64 a (+.f64 x x)))) (expm1.f64 (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)

simplify354.0ms (3.3%)

Memory

-13.6MiB live, 331.6MiB 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)

eval21.0ms (0.2%)

Memory: 14.0MiB live, 52.1MiB allocated
Compiler: Compiled 3 353 to 322 computations (90.4% saved)

prune22.0ms (0.2%)

Memory

9.7MiB live, 51.5MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

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

Accuracy

100.0%

Counts

184 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.1%	(-.f64 (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)) #s(literal 1 binary64))
▶	19.9%	(-.f64 (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	21.0%	(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
▶	18.4%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	72.2%	(.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)))
	70.9%	(.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	71.3%	(.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))))
	71.3%	(*.f64 a x)
▶	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 220 to 134 computations (39.1% saved)

simplify448.0ms (4.2%)

Memory

14.8MiB live, 754.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

18 210×	`accelerator-lowering-fma.f32`
18 210×	`accelerator-lowering-fma.f64`
3 872×	`-lowering-.f32`
3 872×	`-lowering-.f64`
3 468×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	136
1	76	132
2	243	132
3	1078	132
4	1773	132
5	4020	132
6	6046	132
0	8072	117

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) 1) 1)
(+ (* a x) 1)
a
x
1
(- (+ (* (* a x) (+ (* a (* x 1/2)) 1)) 1) 1)
(+ (* (* a x) (+ (* a (* x 1/2)) 1)) 1)
(* a x)
a
x
(+ (* a (* x 1/2)) 1)
(* x 1/2)
1/2
1
(- (+ (* (* a x) (+ (* (* a x) (+ (* a (* x 1/6)) 1/2)) 1)) 1) 1)
(+ (* (* a x) (+ (* (* a x) (+ (* a (* x 1/6)) 1/2)) 1)) 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

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

localize173.0ms (1.6%)

Memory

-13.0MiB live, 270.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	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	48.8%	(-.f64 (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)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	48.8%	(-.f64 (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 a x #s(literal 1 binary64))
✓	accuracy	48.8%	(-.f64 (fma.f64 a x #s(literal 1 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

66.0ms	93×	2	valid
23.0ms	73×	1	valid
13.0ms	81×	0	valid
6.0ms	9×	3	valid

Compiler

Compiled 130 to 26 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 27.0ms (39.1% of total)

adjust: 14.0ms (20.3% of total)

ival-add: 12.0ms (17.4% of total)

ival-sub: 9.0ms (13% of total)

const: 4.0ms (5.8% of total)

ival-expm1: 2.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Memory

2.6MiB live, 40.7MiB allocated

Counts

14 → 288

Calls

Call 1

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

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

72 calls:

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

rewrite494.0ms (4.6%)

Memory

45.7MiB live, 790.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 098×	`accelerator-lowering-fma.f32`
6 098×	`accelerator-lowering-fma.f64`
5 328×	`-lowering-.f32`
5 328×	`-lowering-.f64`
3 964×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	115
1	182	111
2	1771	111
0	8994	96

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 650

Calls

Call 1

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

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 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 3 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 #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 (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 (fma.f64 a x #s(literal 0 binary64)) #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))))))
(-.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))))
(fma.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
(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 2 binary64)))) (exp.f64 (.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (fma.f64 a x #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (fma.f64 a x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
(expm1.f64 (fma.f64 a x #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(/.f64 #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))) (expm1.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (+.f64 x x)))))
(/.f64 (expm1.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 3 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 (expm1.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) #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) (neg.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))) (expm1.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (+.f64 x x))))))
(/.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 x))) (-.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 3 binary64)))) (neg.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 (neg.f64 (expm1.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 3 binary64)))) (neg.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))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x)))) (neg.f64 (+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x)))) (neg.f64 (-.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 3 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 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 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 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64)))))
(/.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 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.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 (neg.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (fma.f64 a x #s(literal 0 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a (+.f64 x x))) (*.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))))
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(pow.f64 (/.f64 (fma.f64 a (.f64 (.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))) (fma.f64 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))) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 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))) #s(literal 0 binary64)))) (fma.f64 (fma.f64 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))) #s(literal 0 binary64)) (.f64 a (.f64 (.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))) (fma.f64 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))) #s(literal 0 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 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))) #s(literal -1 binary64)) (fma.f64 a (.f64 (.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))) (fma.f64 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))) #s(literal 0 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 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))) #s(literal 1 binary64)))
(.f64 (fma.f64 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))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 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))) #s(literal 0 binary64)) (.f64 a (.f64 (.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))) (fma.f64 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))) #s(literal 0 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (.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))) (fma.f64 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))) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 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))) #s(literal 0 binary64))))))
(.f64 (fma.f64 a (.f64 (.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))) (fma.f64 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))) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 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))) #s(literal -1 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (/.f64 (.f64 (.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) a) #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 #s(literal 1/6 binary64) (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/12 binary64)))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 a (*.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/12 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/12 binary64)))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 a (*.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))
(pow.f64 (/.f64 (fma.f64 (.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/12 binary64)))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 a (*.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/12 binary64))))))
(.f64 (fma.f64 (.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)

simplify539.0ms (5.1%)

Memory

-34.4MiB live, 889.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18 656×	`accelerator-lowering-fma.f32`
18 656×	`accelerator-lowering-fma.f64`
5 764×	`-lowering-.f32`
5 764×	`-lowering-.f64`
2 472×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	2396
1	747	2386
2	2393	2304
3	5112	2264
0	8357	2024

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

eval221.0ms (2.1%)

Memory: 26.9MiB live, 400.0MiB allocated
Compiler: Compiled 33 671 to 2 246 computations (93.3% saved)

prune156.0ms (1.5%)

Memory

-24.1MiB live, 354.0MiB allocated

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	1 188	20	1 208
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	1 193	24	1 217

Accuracy

100.0%

Counts

1 217 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.9%	(fma.f64 x a (.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))))))
	20.8%	(/.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 a x #s(literal 2 binary64)))
	20.5%	(/.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64))))
	20.5%	(/.f64 (-.f64 (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (fma.f64 a x #s(literal 2 binary64))) (fma.f64 a x #s(literal 2 binary64))) (*.f64 (fma.f64 a x #s(literal 2 binary64)) (fma.f64 a x #s(literal 2 binary64))))
	32.2%	(/.f64 (-.f64 (.f64 a (.f64 x (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)))
	20.5%	(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal 1 binary64))))))
	20.5%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64))) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
✓	21.1%	(-.f64 (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)) #s(literal 1 binary64))
✓	19.9%	(-.f64 (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
	20.6%	(-.f64 (/.f64 (fma.f64 (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 1 binary64)) #s(literal 0 binary64)) (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 1 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 a (*.f64 x (fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))
	20.7%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a x #s(literal 0 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
	20.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a x #s(literal 0 binary64)) #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 (fma.f64 a x #s(literal 0 binary64)))) #s(literal 1 binary64)))) #s(literal 1 binary64))
	20.7%	(-.f64 (-.f64 (/.f64 (.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64)))) (fma.f64 a x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
	5.0%	(-.f64 (.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
▶	19.9%	(+.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x (fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
	21.0%	(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
	20.8%	(*.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))))
▶	20.5%	(.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
▶	72.1%	(.f64 (.f64 (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) a) x)
	71.3%	(*.f64 x a)
	70.9%	(.f64 a (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
▶	71.3%	(.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))))
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	18.4%	#s(literal 0 binary64)

Compiler

Compiled 955 to 444 computations (53.5% saved)

simplify506.0ms (4.7%)

Memory

56.3MiB live, 835.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 a x #s(literal 1 binary64))
✓	cost-diff	384	(fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))
✓	cost-diff	3712	(.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 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	0	(.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	64	(fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	cost-diff	64	(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 x #s(literal 0 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	cost-diff	64	(fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	192	(+.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x (fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 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	(.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) a)

Rules

17 366×	`accelerator-lowering-fma.f32`
17 366×	`accelerator-lowering-fma.f64`
3 844×	`-lowering-.f32`
3 844×	`-lowering-.f64`
2 974×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	304
1	125	302
2	474	300
3	1714	300
4	1936	300
5	2099	300
6	2569	292
7	4813	292
8	7179	292
0	8113	254

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize258.0ms (2.4%)

Memory

-31.3MiB live, 497.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64))))
✓	accuracy	95.5%	(fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))
✓	accuracy	83.4%	(.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
✓	accuracy	48.8%	(fma.f64 (fma.f64 a x #s(literal 1 binary64)) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	accuracy	99.6%	(.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	97.8%	(.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	97.8%	(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 x #s(literal 0 binary64))
✓	accuracy	99.9%	(*.f64 x (fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	accuracy	97.7%	(fma.f64 a (*.f64 x (fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
✓	accuracy	48.8%	(+.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x (fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.2%	(.f64 (fma.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) a)
✓	accuracy	97.7%	(.f64 (.f64 (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) a) x)
✓	accuracy	97.7%	(fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))

Samples

85.0ms	107×	2	valid
67.0ms	44×	3	valid
22.0ms	81×	0	valid
13.0ms	24×	1	valid

Compiler

Compiled 305 to 44 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-mult: 71.0ms (49.2% of total)

ival-add: 33.0ms (22.9% of total)

adjust: 26.0ms (18% of total)

const: 9.0ms (6.2% of total)

ival-div: 3.0ms (2.1% of total)

exact: 1.0ms (0.7% of total)

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

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

series44.0ms (0.4%)

Memory

21.2MiB live, 57.3MiB allocated

Counts

23 → 540

Calls

Call 1

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

Outputs
#<alt a>
#<alt (* a (+ 1 (* 1/2 (* a x))))>
#<alt (* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))>
#<alt (* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 2)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 2)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))>
#<alt a>
#<alt (+ a (* 1/2 (* (pow a 2) x)))>
#<alt (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))>
#<alt (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))>
#<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 x)>
#<alt (* x (+ 1/2 (* 1/6 (* a x))))>
#<alt (* x (+ 1/2 (* 1/6 (* a x))))>
#<alt (* x (+ 1/2 (* 1/6 (* a x))))>
#<alt (* 1/6 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))>
#<alt (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))>
#<alt (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))>
#<alt (* 1/6 (* a (pow x 2)))>
#<alt (* a (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* a (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* a (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* 1/6 (* a (pow x 2)))>
#<alt (* -1 (* a (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1/2 (/ x a)) (* -1/6 (pow x 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 (* 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>
#<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 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 (* 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>
#<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 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 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 (* 1/3 (* a (+ x (* 2 x))))>
#<alt (* a (+ (* 1/3 (+ x (* 2 x))) (* a (- (* 1/3 (+ (* 2 (pow x 2)) (pow x 2))) (* 1/9 (pow (+ x (* 2 x)) 2))))))>
#<alt (* a (+ (* 1/3 (+ x (* 2 x))) (* a (- (+ (* 1/3 (+ (* 2 (pow x 2)) (pow x 2))) (* a (- (* 1/3 (pow x 3)) (+ (* 1/9 (* (pow x 2) (+ x (* 2 x)))) (* 1/3 (* (+ x (* 2 x)) (- (* 1/3 (+ (* 2 (pow x 2)) (pow x 2))) (* 1/9 (pow (+ x (* 2 x)) 2))))))))) (* 1/9 (pow (+ x (* 2 x)) 2))))))>
#<alt (* a (+ (* 1/3 (+ x (* 2 x))) (* a (- (+ (* 1/3 (+ (* 2 (pow x 2)) (pow x 2))) (* a (- (+ (* -1 (* a (+ (* 1/3 (* (+ x (* 2 x)) (- (* 1/3 (pow x 3)) (+ (* 1/9 (* (pow x 2) (+ x (* 2 x)))) (* 1/3 (* (+ x (* 2 x)) (- (* 1/3 (+ (* 2 (pow x 2)) (pow x 2))) (* 1/9 (pow (+ x (* 2 x)) 2))))))))) (* 1/3 (* (pow x 2) (- (* 1/3 (+ (* 2 (pow x 2)) (pow x 2))) (* 1/9 (pow (+ x (* 2 x)) 2)))))))) (* 1/3 (pow x 3))) (+ (* 1/9 (* (pow x 2) (+ x (* 2 x)))) (* 1/3 (* (+ x (* 2 x)) (- (* 1/3 (+ (* 2 (pow x 2)) (pow x 2))) (* 1/9 (pow (+ x (* 2 x)) 2))))))))) (* 1/9 (pow (+ x (* 2 x)) 2))))))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* -1 (* a (+ (* -1 x) (* -1 (/ (- 3 (* -1 (/ (+ (* -2 x) (* -1 x)) x))) a)))))>
#<alt (* -1 (* a (+ (* -1 x) (* -1 (/ (- (+ 3 (/ (* (+ (* -2 x) (* -1 x)) (- 3 (* -1 (/ (+ (* -2 x) (* -1 x)) x)))) (* a (pow x 2)))) (* -1 (/ (+ (* -2 x) (* -1 x)) x))) a)))))>
#<alt (* -1 (* a (+ (* -1 x) (* -1 (/ (- (+ 3 (* -1 (/ (- (+ (* -1 (/ (* (pow (+ (* -2 x) (* -1 x)) 2) (- 3 (* -1 (/ (+ (* -2 x) (* -1 x)) x)))) (* a (pow x 4)))) (* 3 (/ (- 3 (* -1 (/ (+ (* -2 x) (* -1 x)) x))) (* a (pow x 2))))) (/ (* (+ (* -2 x) (* -1 x)) (- 3 (* -1 (/ (+ (* -2 x) (* -1 x)) x)))) (pow x 2))) a))) (* -1 (/ (+ (* -2 x) (* -1 x)) x))) a)))))>
#<alt (* 1/3 (* x (+ a (* 2 a))))>
#<alt (* x (+ (* 1/3 (+ a (* 2 a))) (* x (- (* 1/3 (+ (* 2 (pow a 2)) (pow a 2))) (* 1/9 (pow (+ a (* 2 a)) 2))))))>
#<alt (* x (+ (* 1/3 (+ a (* 2 a))) (* x (- (+ (* 1/3 (+ (* 2 (pow a 2)) (pow a 2))) (* x (- (* 1/3 (pow a 3)) (+ (* 1/9 (* (pow a 2) (+ a (* 2 a)))) (* 1/3 (* (+ a (* 2 a)) (- (* 1/3 (+ (* 2 (pow a 2)) (pow a 2))) (* 1/9 (pow (+ a (* 2 a)) 2))))))))) (* 1/9 (pow (+ a (* 2 a)) 2))))))>
#<alt (* x (+ (* 1/3 (+ a (* 2 a))) (* x (- (+ (* 1/3 (+ (* 2 (pow a 2)) (pow a 2))) (* x (- (+ (* -1 (* x (+ (* 1/3 (* (+ a (* 2 a)) (- (* 1/3 (pow a 3)) (+ (* 1/9 (* (pow a 2) (+ a (* 2 a)))) (* 1/3 (* (+ a (* 2 a)) (- (* 1/3 (+ (* 2 (pow a 2)) (pow a 2))) (* 1/9 (pow (+ a (* 2 a)) 2))))))))) (* 1/3 (* (pow a 2) (- (* 1/3 (+ (* 2 (pow a 2)) (pow a 2))) (* 1/9 (pow (+ a (* 2 a)) 2)))))))) (* 1/3 (pow a 3))) (+ (* 1/9 (* (pow a 2) (+ a (* 2 a)))) (* 1/3 (* (+ a (* 2 a)) (- (* 1/3 (+ (* 2 (pow a 2)) (pow a 2))) (* 1/9 (pow (+ a (* 2 a)) 2))))))))) (* 1/9 (pow (+ a (* 2 a)) 2))))))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* -1 (* x (+ (* -1 a) (* -1 (/ (- 3 (* -1 (/ (+ (* -2 a) (* -1 a)) a))) x)))))>
#<alt (* -1 (* x (+ (* -1 a) (* -1 (/ (- (+ 3 (/ (* (+ (* -2 a) (* -1 a)) (- 3 (* -1 (/ (+ (* -2 a) (* -1 a)) a)))) (* (pow a 2) x))) (* -1 (/ (+ (* -2 a) (* -1 a)) a))) x)))))>
#<alt (* -1 (* x (+ (* -1 a) (* -1 (/ (- (+ 3 (* -1 (/ (- (+ (* -1 (/ (* (pow (+ (* -2 a) (* -1 a)) 2) (- 3 (* -1 (/ (+ (* -2 a) (* -1 a)) a)))) (* (pow a 4) x))) (* 3 (/ (- 3 (* -1 (/ (+ (* -2 a) (* -1 a)) a))) (* (pow a 2) x)))) (/ (* (+ (* -2 a) (* -1 a)) (- 3 (* -1 (/ (+ (* -2 a) (* -1 a)) a)))) (pow a 2))) x))) (* -1 (/ (+ (* -2 a) (* -1 a)) a))) x)))))>
#<alt 3>
#<alt (+ 3 (* a (+ x (* 2 x))))>
#<alt (+ 3 (* a (+ x (+ (* 2 x) (* a (pow x 2))))))>
#<alt (+ 3 (* a (+ x (+ (* 2 x) (* a (pow x 2))))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (+ (/ x a) (pow x 2))))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (+ (/ 3 (pow a 2)) (+ (/ x a) (pow x 2)))))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (+ (/ 3 (pow a 2)) (+ (/ x a) (pow x 2)))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -2 x) (* -1 x)) a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (+ (* -2 x) (* -1 x)) (* 3 (/ 1 a))) a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (+ (* -2 x) (* -1 x)) (* 3 (/ 1 a))) a)) (pow x 2)))>
#<alt 3>
#<alt (+ 3 (* x (+ a (* 2 a))))>
#<alt (+ 3 (* x (+ a (+ (* 2 a) (* (pow a 2) x)))))>
#<alt (+ 3 (* x (+ a (+ (* 2 a) (* (pow a 2) x)))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (+ (/ a x) (pow a 2))))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (+ (/ 3 (pow x 2)) (+ (/ a x) (pow a 2)))))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (+ (/ 3 (pow x 2)) (+ (/ a x) (pow a 2)))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -2 a) (* -1 a)) x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (+ (* -2 a) (* -1 a)) (* 3 (/ 1 x))) x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (+ (* -2 a) (* -1 a)) (* 3 (/ 1 x))) x)) (pow a 2)))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt 1>
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#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt 1>
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#<alt (+ 1 (* a (+ (* 2 x) (* a (pow x 2)))))>
#<alt (+ 1 (* a (+ (* 2 x) (* a (pow x 2)))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2))))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -2 x) (/ 1 a)) a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -2 x) (/ 1 a)) a)) (pow x 2)))>
#<alt 1>
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#<alt (+ 1 (* x (+ (* 2 a) (* (pow a 2) x))))>
#<alt (+ 1 (* x (+ (* 2 a) (* (pow a 2) x))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -2 a) (/ 1 x)) x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -2 a) (/ 1 x)) x)) (pow a 2)))>
#<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)))>
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#<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 (* 1/6 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>
#<alt (- (* a x) 1)>
#<alt (- (* a (+ x (* 1/2 (* a (pow x 2))))) 1)>
#<alt (- (* a (+ x (* 1/2 (* a (pow x 2))))) 1)>
#<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)) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 1/2 (pow x 2)) (/ x a)) (/ 1 (pow a 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 (/ (+ (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))>
#<alt -1>
#<alt (- (* a x) 1)>
#<alt (- (* x (+ a (* 1/2 (* (pow a 2) x)))) 1)>
#<alt (- (* x (+ a (* 1/2 (* (pow a 2) x)))) 1)>
#<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)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (pow a 2)) (/ a x)) (/ 1 (pow x 2))))>
#<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 (/ (+ (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))>
#<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 (* 1/2 x)>
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#<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 (* a (+ x (* 2 x)))>
#<alt (* a (+ x (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (pow x 2))))))>
#<alt (* a (+ x (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (+ (* a (pow x 3)) (pow x 2)))))))>
#<alt (* a (+ x (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (+ (* a (pow x 3)) (pow x 2)))))))>
#<alt (* (pow a 3) (pow x 3))>
#<alt (* (pow a 3) (+ (* 2 (/ (pow x 2) a)) (+ (/ (pow x 2) a) (pow x 3))))>
#<alt (* (pow a 3) (+ (* 2 (/ x (pow a 2))) (+ (* 2 (/ (pow x 2) a)) (+ (/ x (pow a 2)) (+ (/ (pow x 2) a) (pow x 3))))))>
#<alt (* (pow a 3) (+ (* 2 (/ x (pow a 2))) (+ (* 2 (/ (pow x 2) a)) (+ (/ x (pow a 2)) (+ (/ (pow x 2) a) (pow x 3))))))>
#<alt (* (pow a 3) (pow x 3))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) a)) (* -1 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 x) (* -1 x)) a)) (+ (* 2 (pow x 2)) (pow x 2))) a)) (* -1 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 x) (* -1 x)) a)) (+ (* 2 (pow x 2)) (pow x 2))) a)) (* -1 (pow x 3)))))>
#<alt (* x (+ a (* 2 a)))>
#<alt (* x (+ a (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (pow a 2))))))>
#<alt (* x (+ a (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (+ (* (pow a 3) x) (pow a 2)))))))>
#<alt (* x (+ a (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (+ (* (pow a 3) x) (pow a 2)))))))>
#<alt (* (pow a 3) (pow x 3))>
#<alt (* (pow x 3) (+ (* 2 (/ (pow a 2) x)) (+ (/ (pow a 2) x) (pow a 3))))>
#<alt (* (pow x 3) (+ (* 2 (/ a (pow x 2))) (+ (* 2 (/ (pow a 2) x)) (+ (/ a (pow x 2)) (+ (/ (pow a 2) x) (pow a 3))))))>
#<alt (* (pow x 3) (+ (* 2 (/ a (pow x 2))) (+ (* 2 (/ (pow a 2) x)) (+ (/ a (pow x 2)) (+ (/ (pow a 2) x) (pow a 3))))))>
#<alt (* (pow a 3) (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 2 (pow a 2)) (pow a 2)) x)) (* -1 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 a) (* -1 a)) x)) (+ (* 2 (pow a 2)) (pow a 2))) x)) (* -1 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 a) (* -1 a)) x)) (+ (* 2 (pow a 2)) (pow a 2))) x)) (* -1 (pow a 3)))))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/9 (* a (+ x (* 2 x)))))>
#<alt (+ 1/3 (* a (- (* -1 (* a (+ (* -1/27 (pow (+ x (* 2 x)) 2)) (* 1/9 (pow x 2))))) (* 1/9 (+ x (* 2 x))))))>
#<alt (+ 1/3 (* a (- (* a (- (* -1 (* a (+ (* -1/3 (* (+ x (* 2 x)) (+ (* -1/27 (pow (+ x (* 2 x)) 2)) (* 1/9 (pow x 2))))) (* -1/27 (* (pow x 2) (+ x (* 2 x))))))) (+ (* -1/27 (pow (+ x (* 2 x)) 2)) (* 1/9 (pow x 2))))) (* 1/9 (+ x (* 2 x))))))>
#<alt (/ 1 (* (pow a 2) (pow x 2)))>
#<alt (/ (- (/ 1 (pow x 2)) (* 3 (/ 1 (* a (pow x 3))))) (pow a 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -3 (/ (+ x (* 2 x)) (pow x 5))) (* 3 (/ 1 (pow x 4)))) (pow a 2))) (/ 1 (pow x 2))) (/ 3 (* a (pow x 3)))) (pow a 2))>
#<alt (/ (- (+ (/ 1 (pow x 2)) (/ 9 (* (pow a 3) (pow x 5)))) (+ (* -3 (/ (+ x (* 2 x)) (* (pow a 2) (pow x 5)))) (+ (* -1 (/ (* (+ x (* 2 x)) (+ (* -3 (/ (+ x (* 2 x)) (pow x 5))) (* 3 (/ 1 (pow x 4))))) (* (pow a 3) (pow x 2)))) (+ (* 3 (/ 1 (* (pow a 2) (pow x 4)))) (/ 3 (* a (pow x 3))))))) (pow a 2))>
#<alt (/ 1 (* (pow a 2) (pow x 2)))>
#<alt (/ (- (/ 1 (pow x 2)) (* 3 (/ 1 (* a (pow x 3))))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* 3 (/ (+ (* -2 x) (* -1 x)) (* a (pow x 5)))) (+ (* 3 (/ 1 (pow x 3))) (/ 3 (* a (pow x 4))))) a)) (/ 1 (pow x 2))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 x) (* -1 x)) (+ (* 3 (/ (+ (* -2 x) (* -1 x)) (pow x 5))) (* 3 (/ 1 (pow x 4))))) (* a (pow x 2)))) (/ 9 (* a (pow x 5)))) (+ (* 3 (/ 1 (pow x 4))) (* 3 (/ (+ (* -2 x) (* -1 x)) (pow x 5))))) a)) (* 3 (/ 1 (pow x 3)))) a)) (/ 1 (pow x 2))) (pow a 2))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/9 (* x (+ a (* 2 a)))))>
#<alt (+ 1/3 (* x (- (* -1 (* x (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (pow a 2))))) (* 1/9 (+ a (* 2 a))))))>
#<alt (+ 1/3 (* x (- (* x (- (* -1 (* x (+ (* -1/3 (* (+ a (* 2 a)) (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (pow a 2))))) (* -1/27 (* (pow a 2) (+ a (* 2 a))))))) (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (pow a 2))))) (* 1/9 (+ a (* 2 a))))))>
#<alt (/ 1 (* (pow a 2) (pow x 2)))>
#<alt (/ (- (/ 1 (pow a 2)) (* 3 (/ 1 (* (pow a 3) x)))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -3 (/ (+ a (* 2 a)) (pow a 5))) (* 3 (/ 1 (pow a 4)))) (pow x 2))) (/ 1 (pow a 2))) (/ 3 (* (pow a 3) x))) (pow x 2))>
#<alt (/ (- (+ (/ 1 (pow a 2)) (/ 9 (* (pow a 5) (pow x 3)))) (+ (* -3 (/ (+ a (* 2 a)) (* (pow a 5) (pow x 2)))) (+ (* -1 (/ (* (+ a (* 2 a)) (+ (* -3 (/ (+ a (* 2 a)) (pow a 5))) (* 3 (/ 1 (pow a 4))))) (* (pow a 2) (pow x 3)))) (+ (* 3 (/ 1 (* (pow a 4) (pow x 2)))) (/ 3 (* (pow a 3) x)))))) (pow x 2))>
#<alt (/ 1 (* (pow a 2) (pow x 2)))>
#<alt (/ (- (/ 1 (pow a 2)) (* 3 (/ 1 (* (pow a 3) x)))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* 3 (/ (+ (* -2 a) (* -1 a)) (* (pow a 5) x))) (+ (* 3 (/ 1 (pow a 3))) (/ 3 (* (pow a 4) x)))) x)) (/ 1 (pow a 2))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 a) (* -1 a)) (+ (* 3 (/ (+ (* -2 a) (* -1 a)) (pow a 5))) (* 3 (/ 1 (pow a 4))))) (* (pow a 2) x))) (/ 9 (* (pow a 5) x))) (+ (* 3 (/ 1 (pow a 4))) (* 3 (/ (+ (* -2 a) (* -1 a)) (pow a 5))))) x)) (* 3 (/ 1 (pow a 3)))) x)) (/ 1 (pow a 2))) (pow x 2))>

Calls

135 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(* (+ (* (+ (* a x) 1) (* (+ (* a x) 1) (+ (* a x) 1))) -1) (/ 1 (+ (* (+ (* a x) 1) (+ (* a x) 1)) (+ (* a x) 2))))
4.0ms	a	@	0	(+ (* (+ (* a x) 1) (* (+ (* a x) 1) (+ (* a x) 1))) -1)
2.0ms	a	@	-inf	(* (+ (* a (* x (+ (* a (* x 1/6)) 1/2))) 1) a)
1.0ms	a	@	-inf	(* (+ (* (+ (* a x) 1) (* (+ (* a x) 1) (+ (* a x) 1))) -1) (/ 1 (+ (* (+ (* a x) 1) (+ (* a x) 1)) (+ (* a x) 2))))
1.0ms	a	@	inf	(* (+ (* (+ (* a x) 1) (* (+ (* a x) 1) (+ (* a x) 1))) -1) (/ 1 (+ (* (+ (* a x) 1) (+ (* a x) 1)) (+ (* a x) 2))))

rewrite415.0ms (3.9%)

Memory

-7.7MiB live, 581.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 984×	`-lowering-.f32`
5 984×	`-lowering-.f64`
3 752×	`accelerator-lowering-fma.f32`
3 752×	`accelerator-lowering-fma.f64`
3 182×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	281
1	280	279
2	2961	279
0	8682	241

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 634

Calls

Call 1

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

Outputs
(+.f64 (.f64 a (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 a #s(literal 1 binary64)))
(+.f64 (.f64 a #s(literal 1 binary64)) (.f64 a (.f64 x (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a) (*.f64 #s(literal 1 binary64) a))
(+.f64 (.f64 #s(literal 1 binary64) a) (.f64 (.f64 x (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a))
(fma.f64 a (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 a #s(literal 1 binary64)))
(fma.f64 a #s(literal 1 binary64) (.f64 a (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a (.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal 1 binary64) a (.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a))
(/.f64 (.f64 a (fma.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 a (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (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 x (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 a (fma.f64 (.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (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 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 a (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) a) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (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 x (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (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)) a) (fma.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 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)))
(.f64 (fma.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) a)
(+.f64 (.f64 x (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 a (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (fma.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 a (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 a (.f64 (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #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))
(fma.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(fma.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 a (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 x #s(literal 0 binary64)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (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 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 a (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (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 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 a (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (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 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 a (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (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 x (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 a (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (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 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (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))) (neg.f64 (fma.f64 x (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (fma.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (.f64 (fma.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (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 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 a (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (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))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 a (.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (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 x (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (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 binary64) (fma.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (fma.f64 x (*.f64 #s(literal 1/6 binary64) a) #s(literal 0 binary64))))
(+.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/6 binary64) a) #s(literal 0 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 a (.f64 (.f64 x #s(literal 1/6 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x (.f64 #s(literal 1/6 binary64) a) #s(literal 0 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (fma.f64 x (.f64 #s(literal 1/6 binary64) a) #s(literal 0 binary64))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) (fma.f64 a x #s(literal 0 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 x (.f64 #s(literal 1/6 binary64) a) #s(literal 0 binary64)) x (.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (fma.f64 x (.f64 #s(literal 1/6 binary64) a) #s(literal 0 binary64))))
(fma.f64 (fma.f64 a x #s(literal 0 binary64)) (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (fma.f64 a x #s(literal 0 binary64))) #s(literal 1/6 binary64) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) a (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/6 binary64) a) #s(literal 0 binary64))) (.f64 x (fma.f64 x (.f64 #s(literal 1/6 binary64) a) #s(literal 0 binary64))) (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/6 binary64) a) #s(literal 0 binary64))) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/6 binary64) a) #s(literal 0 binary64))) (.f64 x (fma.f64 x (.f64 #s(literal 1/6 binary64) a) #s(literal 0 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))) (-.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/6 binary64) a) #s(literal 0 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 x (fma.f64 (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (fma.f64 (fma.f64 a (.f64 x (fma.f64 a x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/12 binary64)))))
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(.f64 (fma.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)))) (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (.f64 (fma.f64 a x #s(literal 1 binary64)) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))))))))
(.f64 (fma.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
(pow.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64))) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))))) (.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 (fma.f64 a x #s(literal 2 binary64)) (fma.f64 a x #s(literal 2 binary64)))))) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (-.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)))) (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))))) (.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 (fma.f64 a x #s(literal 2 binary64)) (fma.f64 a x #s(literal 2 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (-.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)))) (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (fma.f64 a x #s(literal 2 binary64))))) (-.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (fma.f64 a x #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (fma.f64 a x #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (fma.f64 a x #s(literal 2 binary64)))) #s(literal -1 binary64)))

simplify465.0ms (4.4%)

Memory

18.2MiB live, 684.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 368×	`accelerator-lowering-fma.f32`
8 368×	`accelerator-lowering-fma.f64`
6 812×	`+-lowering-+.f64`
6 812×	`+-lowering-+.f32`
6 610×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	942	7509
1	3398	7317
0	8413	6831

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

Inputs
a
(* a (+ 1 (* 1/2 (* a x))))
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))
(* 1/6 (* (pow a 3) (pow x 2)))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 2)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))
a
(+ a (* 1/2 (* (pow a 2) x)))
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 3) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))
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 x)
(* x (+ 1/2 (* 1/6 (* a x))))
(* x (+ 1/2 (* 1/6 (* a x))))
(* x (+ 1/2 (* 1/6 (* a x))))
(* 1/6 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* 1/6 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* 1/2 x)
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(* 1/6 (* a (pow x 2)))
(* a (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* a (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* a (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* 1/6 (* a (pow x 2)))
(* -1 (* a (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(* -1 (* a (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(* -1 (* a (+ (* -1/2 (/ x a)) (* -1/6 (pow x 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 (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(* 1/2 (* a x))
(* a (+ (* 1/2 x) (/ 1 a)))
(* a (+ (* 1/2 x) (/ 1 a)))
(* a (+ (* 1/2 x) (/ 1 a)))
(* 1/2 (* a x))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(* 1/2 (* a x))
(* x (+ (* 1/2 a) (/ 1 x)))
(* x (+ (* 1/2 a) (/ 1 x)))
(* x (+ (* 1/2 a) (/ 1 x)))
(* 1/2 (* a x))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
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)))))
(* 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
(+ 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)))))
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)))))
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)))))
(* 1/3 (* a (+ x (* 2 x))))
(* a (+ (* 1/3 (+ x (* 2 x))) (* a (- (* 1/3 (+ (* 2 (pow x 2)) (pow x 2))) (* 1/9 (pow (+ x (* 2 x)) 2))))))
(* a (+ (* 1/3 (+ x (* 2 x))) (* a (- (+ (* 1/3 (+ (* 2 (pow x 2)) (pow x 2))) (* a (- (* 1/3 (pow x 3)) (+ (* 1/9 (* (pow x 2) (+ x (* 2 x)))) (* 1/3 (* (+ x (* 2 x)) (- (* 1/3 (+ (* 2 (pow x 2)) (pow x 2))) (* 1/9 (pow (+ x (* 2 x)) 2))))))))) (* 1/9 (pow (+ x (* 2 x)) 2))))))
(* a (+ (* 1/3 (+ x (* 2 x))) (* a (- (+ (* 1/3 (+ (* 2 (pow x 2)) (pow x 2))) (* a (- (+ (* -1 (* a (+ (* 1/3 (* (+ x (* 2 x)) (- (* 1/3 (pow x 3)) (+ (* 1/9 (* (pow x 2) (+ x (* 2 x)))) (* 1/3 (* (+ x (* 2 x)) (- (* 1/3 (+ (* 2 (pow x 2)) (pow x 2))) (* 1/9 (pow (+ x (* 2 x)) 2))))))))) (* 1/3 (* (pow x 2) (- (* 1/3 (+ (* 2 (pow x 2)) (pow x 2))) (* 1/9 (pow (+ x (* 2 x)) 2)))))))) (* 1/3 (pow x 3))) (+ (* 1/9 (* (pow x 2) (+ x (* 2 x)))) (* 1/3 (* (+ x (* 2 x)) (- (* 1/3 (+ (* 2 (pow x 2)) (pow x 2))) (* 1/9 (pow (+ x (* 2 x)) 2))))))))) (* 1/9 (pow (+ x (* 2 x)) 2))))))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* -1 (* a (+ (* -1 x) (* -1 (/ (- 3 (* -1 (/ (+ (* -2 x) (* -1 x)) x))) a)))))
(* -1 (* a (+ (* -1 x) (* -1 (/ (- (+ 3 (/ (* (+ (* -2 x) (* -1 x)) (- 3 (* -1 (/ (+ (* -2 x) (* -1 x)) x)))) (* a (pow x 2)))) (* -1 (/ (+ (* -2 x) (* -1 x)) x))) a)))))
(* -1 (* a (+ (* -1 x) (* -1 (/ (- (+ 3 (* -1 (/ (- (+ (* -1 (/ (* (pow (+ (* -2 x) (* -1 x)) 2) (- 3 (* -1 (/ (+ (* -2 x) (* -1 x)) x)))) (* a (pow x 4)))) (* 3 (/ (- 3 (* -1 (/ (+ (* -2 x) (* -1 x)) x))) (* a (pow x 2))))) (/ (* (+ (* -2 x) (* -1 x)) (- 3 (* -1 (/ (+ (* -2 x) (* -1 x)) x)))) (pow x 2))) a))) (* -1 (/ (+ (* -2 x) (* -1 x)) x))) a)))))
(* 1/3 (* x (+ a (* 2 a))))
(* x (+ (* 1/3 (+ a (* 2 a))) (* x (- (* 1/3 (+ (* 2 (pow a 2)) (pow a 2))) (* 1/9 (pow (+ a (* 2 a)) 2))))))
(* x (+ (* 1/3 (+ a (* 2 a))) (* x (- (+ (* 1/3 (+ (* 2 (pow a 2)) (pow a 2))) (* x (- (* 1/3 (pow a 3)) (+ (* 1/9 (* (pow a 2) (+ a (* 2 a)))) (* 1/3 (* (+ a (* 2 a)) (- (* 1/3 (+ (* 2 (pow a 2)) (pow a 2))) (* 1/9 (pow (+ a (* 2 a)) 2))))))))) (* 1/9 (pow (+ a (* 2 a)) 2))))))
(* x (+ (* 1/3 (+ a (* 2 a))) (* x (- (+ (* 1/3 (+ (* 2 (pow a 2)) (pow a 2))) (* x (- (+ (* -1 (* x (+ (* 1/3 (* (+ a (* 2 a)) (- (* 1/3 (pow a 3)) (+ (* 1/9 (* (pow a 2) (+ a (* 2 a)))) (* 1/3 (* (+ a (* 2 a)) (- (* 1/3 (+ (* 2 (pow a 2)) (pow a 2))) (* 1/9 (pow (+ a (* 2 a)) 2))))))))) (* 1/3 (* (pow a 2) (- (* 1/3 (+ (* 2 (pow a 2)) (pow a 2))) (* 1/9 (pow (+ a (* 2 a)) 2)))))))) (* 1/3 (pow a 3))) (+ (* 1/9 (* (pow a 2) (+ a (* 2 a)))) (* 1/3 (* (+ a (* 2 a)) (- (* 1/3 (+ (* 2 (pow a 2)) (pow a 2))) (* 1/9 (pow (+ a (* 2 a)) 2))))))))) (* 1/9 (pow (+ a (* 2 a)) 2))))))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* -1 (* x (+ (* -1 a) (* -1 (/ (- 3 (* -1 (/ (+ (* -2 a) (* -1 a)) a))) x)))))
(* -1 (* x (+ (* -1 a) (* -1 (/ (- (+ 3 (/ (* (+ (* -2 a) (* -1 a)) (- 3 (* -1 (/ (+ (* -2 a) (* -1 a)) a)))) (* (pow a 2) x))) (* -1 (/ (+ (* -2 a) (* -1 a)) a))) x)))))
(* -1 (* x (+ (* -1 a) (* -1 (/ (- (+ 3 (* -1 (/ (- (+ (* -1 (/ (* (pow (+ (* -2 a) (* -1 a)) 2) (- 3 (* -1 (/ (+ (* -2 a) (* -1 a)) a)))) (* (pow a 4) x))) (* 3 (/ (- 3 (* -1 (/ (+ (* -2 a) (* -1 a)) a))) (* (pow a 2) x)))) (/ (* (+ (* -2 a) (* -1 a)) (- 3 (* -1 (/ (+ (* -2 a) (* -1 a)) a)))) (pow a 2))) x))) (* -1 (/ (+ (* -2 a) (* -1 a)) a))) x)))))
3
(+ 3 (* a (+ x (* 2 x))))
(+ 3 (* a (+ x (+ (* 2 x) (* a (pow x 2))))))
(+ 3 (* a (+ x (+ (* 2 x) (* a (pow x 2))))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (+ (/ x a) (pow x 2))))
(* (pow a 2) (+ (* 2 (/ x a)) (+ (/ 3 (pow a 2)) (+ (/ x a) (pow x 2)))))
(* (pow a 2) (+ (* 2 (/ x a)) (+ (/ 3 (pow a 2)) (+ (/ x a) (pow x 2)))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* -1 (/ (+ (* -2 x) (* -1 x)) a)) (pow x 2)))
(* (pow a 2) (+ (* -1 (/ (- (+ (* -2 x) (* -1 x)) (* 3 (/ 1 a))) a)) (pow x 2)))
(* (pow a 2) (+ (* -1 (/ (- (+ (* -2 x) (* -1 x)) (* 3 (/ 1 a))) a)) (pow x 2)))
3
(+ 3 (* x (+ a (* 2 a))))
(+ 3 (* x (+ a (+ (* 2 a) (* (pow a 2) x)))))
(+ 3 (* x (+ a (+ (* 2 a) (* (pow a 2) x)))))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (+ (/ a x) (pow a 2))))
(* (pow x 2) (+ (* 2 (/ a x)) (+ (/ 3 (pow x 2)) (+ (/ a x) (pow a 2)))))
(* (pow x 2) (+ (* 2 (/ a x)) (+ (/ 3 (pow x 2)) (+ (/ a x) (pow a 2)))))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* -1 (/ (+ (* -2 a) (* -1 a)) x)) (pow a 2)))
(* (pow x 2) (+ (* -1 (/ (- (+ (* -2 a) (* -1 a)) (* 3 (/ 1 x))) x)) (pow a 2)))
(* (pow x 2) (+ (* -1 (/ (- (+ (* -2 a) (* -1 a)) (* 3 (/ 1 x))) x)) (pow a 2)))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
1
(+ 1 (* 2 (* a x)))
(+ 1 (* a (+ (* 2 x) (* a (pow x 2)))))
(+ 1 (* a (+ (* 2 x) (* a (pow x 2)))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2))))
(* (pow a 2) (+ (* 2 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* -1 (/ (- (* -2 x) (/ 1 a)) a)) (pow x 2)))
(* (pow a 2) (+ (* -1 (/ (- (* -2 x) (/ 1 a)) a)) (pow x 2)))
1
(+ 1 (* 2 (* a x)))
(+ 1 (* x (+ (* 2 a) (* (pow a 2) x))))
(+ 1 (* x (+ (* 2 a) (* (pow a 2) x))))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))
(* (pow x 2) (+ (* 2 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* -1 (/ (- (* -2 a) (/ 1 x)) x)) (pow a 2)))
(* (pow x 2) (+ (* -1 (/ (- (* -2 a) (/ 1 x)) x)) (pow a 2)))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/6 (* 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)))))
(* 1/6 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
(- (* a x) 1)
(- (* a (+ x (* 1/2 (* a (pow x 2))))) 1)
(- (* a (+ x (* 1/2 (* a (pow x 2))))) 1)
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (- (+ (* 1/2 (pow x 2)) (/ x a)) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 1/2 (pow x 2)) (/ x a)) (/ 1 (pow a 2))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
-1
(- (* a x) 1)
(- (* x (+ a (* 1/2 (* (pow a 2) x)))) 1)
(- (* x (+ a (* 1/2 (* (pow a 2) x)))) 1)
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (- (+ (* 1/2 (pow a 2)) (/ a x)) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ (* 1/2 (pow a 2)) (/ a x)) (/ 1 (pow x 2))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(* a 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))))
(* 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))))
(* a (+ x (* 2 x)))
(* a (+ x (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (pow x 2))))))
(* a (+ x (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (+ (* a (pow x 3)) (pow x 2)))))))
(* a (+ x (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (+ (* a (pow x 3)) (pow x 2)))))))
(* (pow a 3) (pow x 3))
(* (pow a 3) (+ (* 2 (/ (pow x 2) a)) (+ (/ (pow x 2) a) (pow x 3))))
(* (pow a 3) (+ (* 2 (/ x (pow a 2))) (+ (* 2 (/ (pow x 2) a)) (+ (/ x (pow a 2)) (+ (/ (pow x 2) a) (pow x 3))))))
(* (pow a 3) (+ (* 2 (/ x (pow a 2))) (+ (* 2 (/ (pow x 2) a)) (+ (/ x (pow a 2)) (+ (/ (pow x 2) a) (pow x 3))))))
(* (pow a 3) (pow x 3))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) a)) (* -1 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 x) (* -1 x)) a)) (+ (* 2 (pow x 2)) (pow x 2))) a)) (* -1 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 x) (* -1 x)) a)) (+ (* 2 (pow x 2)) (pow x 2))) a)) (* -1 (pow x 3)))))
(* x (+ a (* 2 a)))
(* x (+ a (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (pow a 2))))))
(* x (+ a (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (+ (* (pow a 3) x) (pow a 2)))))))
(* x (+ a (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (+ (* (pow a 3) x) (pow a 2)))))))
(* (pow a 3) (pow x 3))
(* (pow x 3) (+ (* 2 (/ (pow a 2) x)) (+ (/ (pow a 2) x) (pow a 3))))
(* (pow x 3) (+ (* 2 (/ a (pow x 2))) (+ (* 2 (/ (pow a 2) x)) (+ (/ a (pow x 2)) (+ (/ (pow a 2) x) (pow a 3))))))
(* (pow x 3) (+ (* 2 (/ a (pow x 2))) (+ (* 2 (/ (pow a 2) x)) (+ (/ a (pow x 2)) (+ (/ (pow a 2) x) (pow a 3))))))
(* (pow a 3) (pow x 3))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 2 (pow a 2)) (pow a 2)) x)) (* -1 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 a) (* -1 a)) x)) (+ (* 2 (pow a 2)) (pow a 2))) x)) (* -1 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 a) (* -1 a)) x)) (+ (* 2 (pow a 2)) (pow a 2))) x)) (* -1 (pow a 3)))))
1/3
(+ 1/3 (* -1/9 (* a (+ x (* 2 x)))))
(+ 1/3 (* a (- (* -1 (* a (+ (* -1/27 (pow (+ x (* 2 x)) 2)) (* 1/9 (pow x 2))))) (* 1/9 (+ x (* 2 x))))))
(+ 1/3 (* a (- (* a (- (* -1 (* a (+ (* -1/3 (* (+ x (* 2 x)) (+ (* -1/27 (pow (+ x (* 2 x)) 2)) (* 1/9 (pow x 2))))) (* -1/27 (* (pow x 2) (+ x (* 2 x))))))) (+ (* -1/27 (pow (+ x (* 2 x)) 2)) (* 1/9 (pow x 2))))) (* 1/9 (+ x (* 2 x))))))
(/ 1 (* (pow a 2) (pow x 2)))
(/ (- (/ 1 (pow x 2)) (* 3 (/ 1 (* a (pow x 3))))) (pow a 2))
(/ (- (+ (* -1 (/ (+ (* -3 (/ (+ x (* 2 x)) (pow x 5))) (* 3 (/ 1 (pow x 4)))) (pow a 2))) (/ 1 (pow x 2))) (/ 3 (* a (pow x 3)))) (pow a 2))
(/ (- (+ (/ 1 (pow x 2)) (/ 9 (* (pow a 3) (pow x 5)))) (+ (* -3 (/ (+ x (* 2 x)) (* (pow a 2) (pow x 5)))) (+ (* -1 (/ (* (+ x (* 2 x)) (+ (* -3 (/ (+ x (* 2 x)) (pow x 5))) (* 3 (/ 1 (pow x 4))))) (* (pow a 3) (pow x 2)))) (+ (* 3 (/ 1 (* (pow a 2) (pow x 4)))) (/ 3 (* a (pow x 3))))))) (pow a 2))
(/ 1 (* (pow a 2) (pow x 2)))
(/ (- (/ 1 (pow x 2)) (* 3 (/ 1 (* a (pow x 3))))) (pow a 2))
(/ (+ (* -1 (/ (+ (* 3 (/ (+ (* -2 x) (* -1 x)) (* a (pow x 5)))) (+ (* 3 (/ 1 (pow x 3))) (/ 3 (* a (pow x 4))))) a)) (/ 1 (pow x 2))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 x) (* -1 x)) (+ (* 3 (/ (+ (* -2 x) (* -1 x)) (pow x 5))) (* 3 (/ 1 (pow x 4))))) (* a (pow x 2)))) (/ 9 (* a (pow x 5)))) (+ (* 3 (/ 1 (pow x 4))) (* 3 (/ (+ (* -2 x) (* -1 x)) (pow x 5))))) a)) (* 3 (/ 1 (pow x 3)))) a)) (/ 1 (pow x 2))) (pow a 2))
1/3
(+ 1/3 (* -1/9 (* x (+ a (* 2 a)))))
(+ 1/3 (* x (- (* -1 (* x (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (pow a 2))))) (* 1/9 (+ a (* 2 a))))))
(+ 1/3 (* x (- (* x (- (* -1 (* x (+ (* -1/3 (* (+ a (* 2 a)) (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (pow a 2))))) (* -1/27 (* (pow a 2) (+ a (* 2 a))))))) (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (pow a 2))))) (* 1/9 (+ a (* 2 a))))))
(/ 1 (* (pow a 2) (pow x 2)))
(/ (- (/ 1 (pow a 2)) (* 3 (/ 1 (* (pow a 3) x)))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -3 (/ (+ a (* 2 a)) (pow a 5))) (* 3 (/ 1 (pow a 4)))) (pow x 2))) (/ 1 (pow a 2))) (/ 3 (* (pow a 3) x))) (pow x 2))
(/ (- (+ (/ 1 (pow a 2)) (/ 9 (* (pow a 5) (pow x 3)))) (+ (* -3 (/ (+ a (* 2 a)) (* (pow a 5) (pow x 2)))) (+ (* -1 (/ (* (+ a (* 2 a)) (+ (* -3 (/ (+ a (* 2 a)) (pow a 5))) (* 3 (/ 1 (pow a 4))))) (* (pow a 2) (pow x 3)))) (+ (* 3 (/ 1 (* (pow a 4) (pow x 2)))) (/ 3 (* (pow a 3) x)))))) (pow x 2))
(/ 1 (* (pow a 2) (pow x 2)))
(/ (- (/ 1 (pow a 2)) (* 3 (/ 1 (* (pow a 3) x)))) (pow x 2))
(/ (+ (* -1 (/ (+ (* 3 (/ (+ (* -2 a) (* -1 a)) (* (pow a 5) x))) (+ (* 3 (/ 1 (pow a 3))) (/ 3 (* (pow a 4) x)))) x)) (/ 1 (pow a 2))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 a) (* -1 a)) (+ (* 3 (/ (+ (* -2 a) (* -1 a)) (pow a 5))) (* 3 (/ 1 (pow a 4))))) (* (pow a 2) x))) (/ 9 (* (pow a 5) x))) (+ (* 3 (/ 1 (pow a 4))) (* 3 (/ (+ (* -2 a) (* -1 a)) (pow a 5))))) x)) (* 3 (/ 1 (pow a 3)))) x)) (/ 1 (pow a 2))) (pow x 2))

Outputs
a
(* a (+ 1 (* 1/2 (* a x))))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))
(.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x)))) #s(literal 1 binary64)))
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))
(.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x)))) #s(literal 1 binary64)))
(* 1/6 (* (pow a 3) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))) (*.f64 x x))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x a) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (/.f64 x a) (/.f64 #s(literal 1 binary64) (*.f64 a a)))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (/.f64 x a) (/.f64 #s(literal 1 binary64) (*.f64 a a)))))
(* 1/6 (* (pow a 3) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))) (*.f64 x x))
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(.f64 (fma.f64 (/.f64 x a) #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (-.f64 #s(literal 0 binary64) (.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) a)) (-.f64 #s(literal 0 binary64) (.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) a)) (-.f64 #s(literal 0 binary64) (.f64 a (*.f64 a a))))
a
(+ a (* 1/2 (* (pow a 2) x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) x a)
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 a a) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a (*.f64 a a))))) a)
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 a a) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a (*.f64 a a))))) a)
(* 1/6 (* (pow a 3) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))) (*.f64 x x))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a a) x) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a)))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a a) x) (/.f64 a (.f64 x x)))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a a) x) (/.f64 a (.f64 x x)))))
(* 1/6 (* (pow a 3) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))) (*.f64 x x))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a a) x) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))
(.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))) (/.f64 (fma.f64 (.f64 a a) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a x))) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))
(.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))) (/.f64 (fma.f64 (.f64 a a) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a x))) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x)))) #s(literal 1 binary64))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x)))) #s(literal 1 binary64))
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a a)) (.f64 x x))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x a) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 a a))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(.f64 (.f64 a a) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (/.f64 x a) (/.f64 #s(literal 1 binary64) (.f64 a a)))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(.f64 (.f64 a a) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (/.f64 x a) (/.f64 #s(literal 1 binary64) (.f64 a a)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a a)) (.f64 x x))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x a) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 a a))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(.f64 (.f64 a a) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(.f64 (.f64 a a) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) a))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(fma.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 a a)) x (*.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(fma.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 a a)) x (*.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a a)) (.f64 x x))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (/.f64 a x) (.f64 #s(literal 1/6 binary64) (.f64 a a))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (/.f64 a x) (fma.f64 #s(literal 1/6 binary64) (.f64 a a) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (/.f64 a x) (fma.f64 #s(literal 1/6 binary64) (.f64 a a) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a a)) (.f64 x x))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (/.f64 a x) (.f64 #s(literal 1/6 binary64) (.f64 a a))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a a)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a a)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/6 (* a x))))
(.f64 x (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/6 (* a x))))
(.f64 x (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/6 (* a x))))
(.f64 x (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* 1/6 (* a (pow x 2)))
(.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x)))
(* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/6 (* a (pow x 2)))
(.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x)))
(* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x))))
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x))))
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x))))
(* 1/6 (* a (pow x 2)))
(.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x)))
(* a (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 x a) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* a (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 x a) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* a (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 x a) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* 1/6 (* a (pow x 2)))
(.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x)))
(* -1 (* a (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(.f64 (fma.f64 (/.f64 x a) #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(.f64 (fma.f64 (/.f64 x a) #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(.f64 (fma.f64 (/.f64 x a) #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) (-.f64 #s(literal 0 binary64) a))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 (* a x))
(.f64 (.f64 a x) #s(literal 1/6 binary64))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(*.f64 a (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(*.f64 a (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(*.f64 a (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)))
(* 1/6 (* a x))
(.f64 (.f64 a x) #s(literal 1/6 binary64))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(*.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(*.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(*.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) a)) (-.f64 #s(literal 0 binary64) a))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 (* a x))
(.f64 (.f64 a x) #s(literal 1/6 binary64))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/6 (* a x))
(.f64 (.f64 a x) #s(literal 1/6 binary64))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(*.f64 (fma.f64 a #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(*.f64 (fma.f64 a #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(*.f64 (fma.f64 a #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)) x))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)) x))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)) x))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (.f64 x x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 a a) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (/.f64 x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 a a) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (/.f64 x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 a a) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (/.f64 x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (.f64 x x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 a a) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (/.f64 x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 a a) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (/.f64 x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 a a) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (/.f64 x a)))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
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#s(literal 1 binary64)
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#s(literal -1 binary64)
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(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 #s(literal 3 binary64) x) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 a a))) (/.f64 #s(literal -3 binary64) (.f64 a (.f64 x (.f64 x x))))) (*.f64 a a))
(/ (- (+ (/ 1 (pow x 2)) (/ 9 (* (pow a 3) (pow x 5)))) (+ (* -3 (/ (+ x (* 2 x)) (* (pow a 2) (pow x 5)))) (+ (* -1 (/ (* (+ x (* 2 x)) (+ (* -3 (/ (+ x (* 2 x)) (pow x 5))) (* 3 (/ 1 (pow x 4))))) (* (pow a 3) (pow x 2)))) (+ (* 3 (/ 1 (* (pow a 2) (pow x 4)))) (/ 3 (* a (pow x 3))))))) (pow a 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 9 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 a a) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (neg.f64 (.f64 #s(literal 3 binary64) x)) (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 #s(literal 3 binary64) x) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (.f64 x x) (.f64 a (.f64 a a)))) (/.f64 #s(literal 3 binary64) (.f64 (.f64 a a) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 3 binary64) (.f64 a (.f64 x (.f64 x x)))))) (*.f64 a a))
(/ 1 (* (pow a 2) (pow x 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (*.f64 a x)))
(/ (- (/ 1 (pow x 2)) (* 3 (/ 1 (* a (pow x 3))))) (pow a 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 3 binary64) (.f64 a (.f64 x (.f64 x x))))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* 3 (/ (+ (* -2 x) (* -1 x)) (* a (pow x 5)))) (+ (* 3 (/ 1 (pow x 3))) (/ 3 (* a (pow x 4))))) a)) (/ 1 (pow x 2))) (pow a 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x #s(literal -3 binary64)) (.f64 a (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 3 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 3 binary64) (.f64 x (.f64 x x)))) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 x) (* -1 x)) (+ (* 3 (/ (+ (* -2 x) (* -1 x)) (pow x 5))) (* 3 (/ 1 (pow x 4))))) (* a (pow x 2)))) (/ 9 (* a (pow x 5)))) (+ (* 3 (/ 1 (pow x 4))) (* 3 (/ (+ (* -2 x) (* -1 x)) (pow x 5))))) a)) (* 3 (/ 1 (pow x 3)))) a)) (/ 1 (pow x 2))) (pow a 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x (.f64 x x))) (/.f64 (fma.f64 (neg.f64 (.f64 x #s(literal -3 binary64))) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 a (.f64 x x))) (-.f64 (/.f64 #s(literal 9 binary64) (.f64 a (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))))) a)) a)) (.f64 a a))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/9 (* x (+ a (* 2 a)))))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 a x)) #s(literal -1/9 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* x (- (* -1 (* x (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (pow a 2))))) (* 1/9 (+ a (* 2 a))))))
(fma.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (.f64 a a) #s(literal 1/9 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 a a)) #s(literal -1/27 binary64))) (.f64 (.f64 #s(literal 3 binary64) a) #s(literal -1/9 binary64))) #s(literal 1/3 binary64))
(+ 1/3 (* x (- (* x (- (* -1 (* x (+ (* -1/3 (* (+ a (* 2 a)) (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (pow a 2))))) (* -1/27 (* (pow a 2) (+ a (* 2 a))))))) (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (pow a 2))))) (* 1/9 (+ a (* 2 a))))))
(fma.f64 x (fma.f64 x (neg.f64 (fma.f64 x (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 #s(literal 3 binary64) a)) (fma.f64 (.f64 a a) #s(literal 1/9 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 a a)) #s(literal -1/27 binary64))) (.f64 (.f64 #s(literal -1/27 binary64) (.f64 a a)) (.f64 #s(literal 3 binary64) a))) (fma.f64 (.f64 a a) #s(literal 1/9 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 a a)) #s(literal -1/27 binary64))))) (.f64 (.f64 #s(literal 3 binary64) a) #s(literal -1/9 binary64))) #s(literal 1/3 binary64))
(/ 1 (* (pow a 2) (pow x 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (*.f64 a x)))
(/ (- (/ 1 (pow a 2)) (* 3 (/ 1 (* (pow a 3) x)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal -3 binary64) (.f64 x (.f64 a (.f64 a a))))) (*.f64 x x))
(/ (- (+ (* -1 (/ (+ (* -3 (/ (+ a (* 2 a)) (pow a 5))) (* 3 (/ 1 (pow a 4)))) (pow x 2))) (/ 1 (pow a 2))) (/ 3 (* (pow a 3) x))) (pow x 2))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 a #s(literal 4 binary64)))) (.f64 x x))) (/.f64 #s(literal -3 binary64) (.f64 x (.f64 a (.f64 a a))))) (*.f64 x x))
(/ (- (+ (/ 1 (pow a 2)) (/ 9 (* (pow a 5) (pow x 3)))) (+ (* -3 (/ (+ a (* 2 a)) (* (pow a 5) (pow x 2)))) (+ (* -1 (/ (* (+ a (* 2 a)) (+ (* -3 (/ (+ a (* 2 a)) (pow a 5))) (* 3 (/ 1 (pow a 4))))) (* (pow a 2) (pow x 3)))) (+ (* 3 (/ 1 (* (pow a 4) (pow x 2)))) (/ 3 (* (pow a 3) x)))))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 9 binary64) (.f64 (.f64 x (.f64 x x)) (pow.f64 a #s(literal 5 binary64))))) (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (.f64 (.f64 x x) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (neg.f64 (.f64 #s(literal 3 binary64) a)) (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 a #s(literal 4 binary64)))) (.f64 (.f64 a a) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 3 binary64) (.f64 x (.f64 a (.f64 a a)))) (/.f64 #s(literal 3 binary64) (.f64 (.f64 x x) (pow.f64 a #s(literal 4 binary64)))))))) (*.f64 x x))
(/ 1 (* (pow a 2) (pow x 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (*.f64 a x)))
(/ (- (/ 1 (pow a 2)) (* 3 (/ 1 (* (pow a 3) x)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal -3 binary64) (.f64 x (.f64 a (.f64 a a))))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* 3 (/ (+ (* -2 a) (* -1 a)) (* (pow a 5) x))) (+ (* 3 (/ 1 (pow a 3))) (/ 3 (* (pow a 4) x)))) x)) (/ 1 (pow a 2))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 a #s(literal -3 binary64)) (.f64 x (pow.f64 a #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 3 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 3 binary64) (.f64 x (pow.f64 a #s(literal 4 binary64)))))) x)) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 a) (* -1 a)) (+ (* 3 (/ (+ (* -2 a) (* -1 a)) (pow a 5))) (* 3 (/ 1 (pow a 4))))) (* (pow a 2) x))) (/ 9 (* (pow a 5) x))) (+ (* 3 (/ 1 (pow a 4))) (* 3 (/ (+ (* -2 a) (* -1 a)) (pow a 5))))) x)) (* 3 (/ 1 (pow a 3)))) x)) (/ 1 (pow a 2))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 a (.f64 a a))) (/.f64 (-.f64 (fma.f64 (neg.f64 (.f64 a #s(literal -3 binary64))) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 a #s(literal -3 binary64)) (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 a #s(literal 4 binary64)))) (.f64 x (.f64 a a))) (/.f64 #s(literal 9 binary64) (.f64 x (pow.f64 a #s(literal 5 binary64))))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 a #s(literal -3 binary64)) (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 a #s(literal 4 binary64))))) x)) x)) (.f64 x x))

eval201.0ms (1.9%)

Memory: 33.9MiB live, 362.8MiB allocated
Compiler: Compiled 48 576 to 3 947 computations (91.9% saved)

prune170.0ms (1.6%)

Memory

7.5MiB live, 367.2MiB allocated

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	1 427	7	1 434
Fresh	9	7	16
Picked	2	3	5
Done	0	3	3
Total	1 438	20	1 458

Accuracy

100.0%

Counts

1 458 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.9%	(fma.f64 x a (.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))))))
	20.8%	(/.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 a x #s(literal 2 binary64)))
✓	21.1%	(-.f64 (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)) #s(literal 1 binary64))
✓	19.9%	(-.f64 (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
	20.6%	(-.f64 (/.f64 (fma.f64 (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 1 binary64)) #s(literal 0 binary64)) (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 1 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 a (*.f64 x (fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))
	20.7%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 (fma.f64 a x #s(literal 0 binary64)) (fma.f64 a x #s(literal 0 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
	5.0%	(-.f64 (.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
	19.9%	(+.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
▶	21.0%	(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
✓	72.1%	(.f64 (.f64 (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) a) x)
▶	70.9%	(.f64 (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) a) x)
	65.0%	(.f64 (.f64 x (fma.f64 x (.f64 #s(literal 3 binary64) (.f64 a a)) (*.f64 #s(literal 3 binary64) a))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
	70.6%	(.f64 (.f64 a (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
▶	70.7%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
▶	71.3%	(*.f64 x a)
✓	71.3%	(.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))))
	70.9%	(.f64 #s(literal 1/3 binary64) (.f64 a (*.f64 #s(literal 3 binary64) x)))
	71.1%	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (*.f64 a x)))
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	18.4%	#s(literal 0 binary64)

Compiler

Compiled 573 to 315 computations (45% saved)

simplify1.0s (9.4%)

Memory

-25.9MiB live, 653.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 a x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64))))
✓	cost-diff	320	(.f64 (.f64 #s(literal 3 binary64) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
✓	cost-diff	384	(fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))
✓	cost-diff	-64	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	-64	(.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	-64	(.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	384	(fma.f64 x a (.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))))))
✓	cost-diff	-64	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	-64	(.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) a)
✓	cost-diff	-64	(.f64 (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) a) x)
✓	cost-diff	0	(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 a x #s(literal -1 binary64))
✓	cost-diff	192	(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
✓	cost-diff	-64	(*.f64 x a)

Rules

22 420×	`accelerator-lowering-fma.f32`
22 420×	`accelerator-lowering-fma.f64`
3 470×	`-lowering-.f32`
3 470×	`-lowering-.f64`
3 442×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	173
1	66	171
2	184	171
3	398	165
4	1228	159
5	3136	159
6	3313	159
7	4667	159
8	6832	159
0	8429	143

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x a)
x
a
(+ 1 (+ (* a x) -1))
1
(+ (* a x) -1)
a
x
-1
(* (* (+ (* a (* x 1/2)) 1) a) x)
(* (+ (* a (* x 1/2)) 1) a)
(+ (* a (* x 1/2)) 1)
a
(* x 1/2)
x
1/2
1
(+ (* x a) (* a (* x (* a (* x 1/2)))))
x
a
(* a (* x (* a (* x 1/2))))
(* x (* a (* x 1/2)))
(* a (* x 1/2))
(* x 1/2)
1/2
(* (* 3 (* a x)) (/ 1 (+ (* (+ (* a x) 1) (+ (* a x) 1)) (+ (* a x) 2))))
(* 3 (* a x))
3
(* a x)
a
x
(/ 1 (+ (* (+ (* a x) 1) (+ (* a x) 1)) (+ (* a x) 2)))
1
(+ (* (+ (* a x) 1) (+ (* a x) 1)) (+ (* a x) 2))
(+ (* a x) 1)
(+ (* a x) 2)
2

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

localize250.0ms (2.3%)

Memory

16.8MiB live, 128.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 #s(literal 3 binary64) (.f64 a x))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64))))
✓	accuracy	95.5%	(fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))
✓	accuracy	88.1%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
✓	accuracy	100.0%	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(fma.f64 x a (.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))))))
✓	accuracy	99.8%	(.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))))
✓	accuracy	92.6%	(.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/2 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 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) a)
✓	accuracy	98.4%	(.f64 (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) a) x)
✓	accuracy	100.0%	(fma.f64 a x #s(literal -1 binary64))
✓	accuracy	48.8%	(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 x a)

Samples

61.0ms	76×	2	valid
28.0ms	93×	1	valid
13.0ms	81×	0	valid
3.0ms	6×	3	valid

Compiler

Compiled 161 to 28 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-add: 41.0ms (51.8% of total)

ival-mult: 23.0ms (29.1% of total)

adjust: 10.0ms (12.6% of total)

ival-div: 3.0ms (3.8% of total)

exact: 1.0ms (1.3% of total)

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

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

series19.0ms (0.2%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

16 → 372

Calls

Call 1

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

Outputs
#<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>
#<alt (- (* a x) 1)>
#<alt (- (* a x) 1)>
#<alt (- (* a x) 1)>
#<alt (* a x)>
#<alt (* a (- x (/ 1 a)))>
#<alt (* a (- x (/ 1 a)))>
#<alt (* a (- x (/ 1 a)))>
#<alt (* a x)>
#<alt (* -1 (* a (+ (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (+ (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (+ (* -1 x) (/ 1 a))))>
#<alt -1>
#<alt (- (* a x) 1)>
#<alt (- (* a x) 1)>
#<alt (- (* a x) 1)>
#<alt (* a x)>
#<alt (* x (- a (/ 1 x)))>
#<alt (* x (- a (/ 1 x)))>
#<alt (* x (- a (/ 1 x)))>
#<alt (* a x)>
#<alt (* -1 (* x (+ (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 a) (/ 1 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 a>
#<alt (* a (+ 1 (* 1/2 (* a x))))>
#<alt (* a (+ 1 (* 1/2 (* a x))))>
#<alt (* a (+ 1 (* 1/2 (* a x))))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))>
#<alt a>
#<alt (+ a (* 1/2 (* (pow a 2) x)))>
#<alt (+ a (* 1/2 (* (pow a 2) x)))>
#<alt (+ a (* 1/2 (* (pow a 2) x)))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* x (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* x (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* x (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 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 (* 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 (* 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 (* 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 (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<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 3>
#<alt (+ 3 (* a (+ x (* 2 x))))>
#<alt (+ 3 (* a (+ x (+ (* 2 x) (* a (pow x 2))))))>
#<alt (+ 3 (* a (+ x (+ (* 2 x) (* a (pow x 2))))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (+ (/ x a) (pow x 2))))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (+ (/ 3 (pow a 2)) (+ (/ x a) (pow x 2)))))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (+ (/ 3 (pow a 2)) (+ (/ x a) (pow x 2)))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -2 x) (* -1 x)) a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (+ (* -2 x) (* -1 x)) (* 3 (/ 1 a))) a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (+ (* -2 x) (* -1 x)) (* 3 (/ 1 a))) a)) (pow x 2)))>
#<alt 3>
#<alt (+ 3 (* x (+ a (* 2 a))))>
#<alt (+ 3 (* x (+ a (+ (* 2 a) (* (pow a 2) x)))))>
#<alt (+ 3 (* x (+ a (+ (* 2 a) (* (pow a 2) x)))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (+ (/ a x) (pow a 2))))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (+ (/ 3 (pow x 2)) (+ (/ a x) (pow a 2)))))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (+ (/ 3 (pow x 2)) (+ (/ a x) (pow a 2)))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -2 a) (* -1 a)) x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (+ (* -2 a) (* -1 a)) (* 3 (/ 1 x))) x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (+ (* -2 a) (* -1 a)) (* 3 (/ 1 x))) x)) (pow a 2)))>
#<alt (* a x)>
#<alt (* a (+ x (* -1/3 (* a (* x (+ x (* 2 x)))))))>
#<alt (* a (+ x (* a (+ (* -3 (* a (+ (* -1/27 (* x (pow (+ x (* 2 x)) 2))) (* 1/9 (pow x 3))))) (* -1/3 (* x (+ x (* 2 x))))))))>
#<alt (* a (+ x (* a (+ (* -1/3 (* x (+ x (* 2 x)))) (* a (+ (* -3 (* a (+ (* -1/3 (* (+ x (* 2 x)) (+ (* -1/27 (* x (pow (+ x (* 2 x)) 2))) (* 1/9 (pow x 3))))) (* -1/27 (* (pow x 3) (+ x (* 2 x))))))) (* -3 (+ (* -1/27 (* x (pow (+ x (* 2 x)) 2))) (* 1/9 (pow x 3))))))))))>
#<alt (/ 3 (* a x))>
#<alt (/ (- (* 3 (/ 1 x)) (* 9 (/ 1 (* a (pow x 2))))) a)>
#<alt (/ (- (+ (* -3 (/ (+ (* -3 (/ (+ x (* 2 x)) (pow x 4))) (* 3 (/ 1 (pow x 3)))) (pow a 2))) (* 3 (/ 1 x))) (/ 9 (* a (pow x 2)))) a)>
#<alt (/ (- (+ (* -3 (/ (+ (* -3 (/ (+ x (* 2 x)) (pow x 4))) (* 3 (/ 1 (pow x 3)))) (pow a 2))) (+ (* 3 (/ (- (* 9 (/ 1 (pow x 4))) (* -1 (/ (* (+ x (* 2 x)) (+ (* -3 (/ (+ x (* 2 x)) (pow x 4))) (* 3 (/ 1 (pow x 3))))) (pow x 2)))) (pow a 3))) (* 3 (/ 1 x)))) (/ 9 (* a (pow x 2)))) a)>
#<alt (/ 3 (* a x))>
#<alt (* -1 (/ (- (* 9 (/ 1 (* a (pow x 2)))) (* 3 (/ 1 x))) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -3 (/ (+ (* 3 (/ (+ (* -2 x) (* -1 x)) (pow x 4))) (* 3 (/ 1 (pow x 3)))) a)) (* 9 (/ 1 (pow x 2)))) a)) (* 3 (/ 1 x))) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -3 (/ (+ (* -1 (/ (* (+ (* -2 x) (* -1 x)) (+ (* 3 (/ (+ (* -2 x) (* -1 x)) (pow x 4))) (* 3 (/ 1 (pow x 3))))) (pow x 2))) (* 9 (/ 1 (pow x 4)))) a)) (* 3 (+ (* 3 (/ (+ (* -2 x) (* -1 x)) (pow x 4))) (* 3 (/ 1 (pow x 3)))))) a)) (* 9 (/ 1 (pow x 2)))) a)) (* 3 (/ 1 x))) a))>
#<alt (* a x)>
#<alt (* x (+ a (* -1/3 (* a (* x (+ a (* 2 a)))))))>
#<alt (* x (+ a (* x (+ (* -3 (* x (+ (* -1/27 (* a (pow (+ a (* 2 a)) 2))) (* 1/9 (pow a 3))))) (* -1/3 (* a (+ a (* 2 a))))))))>
#<alt (* x (+ a (* x (+ (* -1/3 (* a (+ a (* 2 a)))) (* x (+ (* -3 (* x (+ (* -1/3 (* (+ a (* 2 a)) (+ (* -1/27 (* a (pow (+ a (* 2 a)) 2))) (* 1/9 (pow a 3))))) (* -1/27 (* (pow a 3) (+ a (* 2 a))))))) (* -3 (+ (* -1/27 (* a (pow (+ a (* 2 a)) 2))) (* 1/9 (pow a 3))))))))))>
#<alt (/ 3 (* a x))>
#<alt (/ (- (* 3 (/ 1 a)) (* 9 (/ 1 (* (pow a 2) x)))) x)>
#<alt (/ (- (+ (* -3 (/ (+ (* -3 (/ (+ a (* 2 a)) (pow a 4))) (* 3 (/ 1 (pow a 3)))) (pow x 2))) (* 3 (/ 1 a))) (/ 9 (* (pow a 2) x))) x)>
#<alt (/ (- (+ (* -3 (/ (+ (* -3 (/ (+ a (* 2 a)) (pow a 4))) (* 3 (/ 1 (pow a 3)))) (pow x 2))) (+ (* 3 (/ (- (* 9 (/ 1 (pow a 4))) (* -1 (/ (* (+ a (* 2 a)) (+ (* -3 (/ (+ a (* 2 a)) (pow a 4))) (* 3 (/ 1 (pow a 3))))) (pow a 2)))) (pow x 3))) (* 3 (/ 1 a)))) (/ 9 (* (pow a 2) x))) x)>
#<alt (/ 3 (* a x))>
#<alt (* -1 (/ (- (* 9 (/ 1 (* (pow a 2) x))) (* 3 (/ 1 a))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -3 (/ (+ (* 3 (/ (+ (* -2 a) (* -1 a)) (pow a 4))) (* 3 (/ 1 (pow a 3)))) x)) (* 9 (/ 1 (pow a 2)))) x)) (* 3 (/ 1 a))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -3 (/ (+ (* -1 (/ (* (+ (* -2 a) (* -1 a)) (+ (* 3 (/ (+ (* -2 a) (* -1 a)) (pow a 4))) (* 3 (/ 1 (pow a 3))))) (pow a 2))) (* 9 (/ 1 (pow a 4)))) x)) (* 3 (+ (* 3 (/ (+ (* -2 a) (* -1 a)) (pow a 4))) (* 3 (/ 1 (pow a 3)))))) x)) (* 9 (/ 1 (pow a 2)))) x)) (* 3 (/ 1 a))) x))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/9 (* a (+ x (* 2 x)))))>
#<alt (+ 1/3 (* a (- (* -1 (* a (+ (* -1/27 (pow (+ x (* 2 x)) 2)) (* 1/9 (pow x 2))))) (* 1/9 (+ x (* 2 x))))))>
#<alt (+ 1/3 (* a (- (* a (- (* -1 (* a (+ (* -1/3 (* (+ x (* 2 x)) (+ (* -1/27 (pow (+ x (* 2 x)) 2)) (* 1/9 (pow x 2))))) (* -1/27 (* (pow x 2) (+ x (* 2 x))))))) (+ (* -1/27 (pow (+ x (* 2 x)) 2)) (* 1/9 (pow x 2))))) (* 1/9 (+ x (* 2 x))))))>
#<alt (/ 1 (* (pow a 2) (pow x 2)))>
#<alt (/ (- (/ 1 (pow x 2)) (* 3 (/ 1 (* a (pow x 3))))) (pow a 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -3 (/ (+ x (* 2 x)) (pow x 5))) (* 3 (/ 1 (pow x 4)))) (pow a 2))) (/ 1 (pow x 2))) (/ 3 (* a (pow x 3)))) (pow a 2))>
#<alt (/ (- (+ (/ 1 (pow x 2)) (/ 9 (* (pow a 3) (pow x 5)))) (+ (* -3 (/ (+ x (* 2 x)) (* (pow a 2) (pow x 5)))) (+ (* -1 (/ (* (+ x (* 2 x)) (+ (* -3 (/ (+ x (* 2 x)) (pow x 5))) (* 3 (/ 1 (pow x 4))))) (* (pow a 3) (pow x 2)))) (+ (* 3 (/ 1 (* (pow a 2) (pow x 4)))) (/ 3 (* a (pow x 3))))))) (pow a 2))>
#<alt (/ 1 (* (pow a 2) (pow x 2)))>
#<alt (/ (- (/ 1 (pow x 2)) (* 3 (/ 1 (* a (pow x 3))))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* 3 (/ (+ (* -2 x) (* -1 x)) (* a (pow x 5)))) (+ (* 3 (/ 1 (pow x 3))) (/ 3 (* a (pow x 4))))) a)) (/ 1 (pow x 2))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 x) (* -1 x)) (+ (* 3 (/ (+ (* -2 x) (* -1 x)) (pow x 5))) (* 3 (/ 1 (pow x 4))))) (* a (pow x 2)))) (/ 9 (* a (pow x 5)))) (+ (* 3 (/ 1 (pow x 4))) (* 3 (/ (+ (* -2 x) (* -1 x)) (pow x 5))))) a)) (* 3 (/ 1 (pow x 3)))) a)) (/ 1 (pow x 2))) (pow a 2))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/9 (* x (+ a (* 2 a)))))>
#<alt (+ 1/3 (* x (- (* -1 (* x (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (pow a 2))))) (* 1/9 (+ a (* 2 a))))))>
#<alt (+ 1/3 (* x (- (* x (- (* -1 (* x (+ (* -1/3 (* (+ a (* 2 a)) (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (pow a 2))))) (* -1/27 (* (pow a 2) (+ a (* 2 a))))))) (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (pow a 2))))) (* 1/9 (+ a (* 2 a))))))>
#<alt (/ 1 (* (pow a 2) (pow x 2)))>
#<alt (/ (- (/ 1 (pow a 2)) (* 3 (/ 1 (* (pow a 3) x)))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -3 (/ (+ a (* 2 a)) (pow a 5))) (* 3 (/ 1 (pow a 4)))) (pow x 2))) (/ 1 (pow a 2))) (/ 3 (* (pow a 3) x))) (pow x 2))>
#<alt (/ (- (+ (/ 1 (pow a 2)) (/ 9 (* (pow a 5) (pow x 3)))) (+ (* -3 (/ (+ a (* 2 a)) (* (pow a 5) (pow x 2)))) (+ (* -1 (/ (* (+ a (* 2 a)) (+ (* -3 (/ (+ a (* 2 a)) (pow a 5))) (* 3 (/ 1 (pow a 4))))) (* (pow a 2) (pow x 3)))) (+ (* 3 (/ 1 (* (pow a 4) (pow x 2)))) (/ 3 (* (pow a 3) x)))))) (pow x 2))>
#<alt (/ 1 (* (pow a 2) (pow x 2)))>
#<alt (/ (- (/ 1 (pow a 2)) (* 3 (/ 1 (* (pow a 3) x)))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* 3 (/ (+ (* -2 a) (* -1 a)) (* (pow a 5) x))) (+ (* 3 (/ 1 (pow a 3))) (/ 3 (* (pow a 4) x)))) x)) (/ 1 (pow a 2))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 a) (* -1 a)) (+ (* 3 (/ (+ (* -2 a) (* -1 a)) (pow a 5))) (* 3 (/ 1 (pow a 4))))) (* (pow a 2) x))) (/ 9 (* (pow a 5) x))) (+ (* 3 (/ 1 (pow a 4))) (* 3 (/ (+ (* -2 a) (* -1 a)) (pow a 5))))) x)) (* 3 (/ 1 (pow a 3)))) x)) (/ 1 (pow a 2))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 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 (* 3 (* a x))>

Calls

93 calls:

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

rewrite579.0ms (5.4%)

Memory

-7.1MiB live, 716.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 962×	`accelerator-lowering-fma.f32`
5 962×	`accelerator-lowering-fma.f64`
4 708×	`-lowering-.f32`
4 708×	`-lowering-.f64`
4 518×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	136
1	157	130
2	1300	130
0	8445	117

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 655

Calls

Call 1

Inputs
(* x a)
(+ 1 (+ (* a x) -1))
(+ (* a x) -1)
(+ (* a (* x 1/2)) 1)
(* (* (+ (* a (* x 1/2)) 1) a) x)
(* (+ (* a (* x 1/2)) 1) a)
(* x 1/2)
(+ (* x a) (* a (* x (* a (* x 1/2)))))
(* a (* x (* a (* x 1/2))))
(* x (* a (* x 1/2)))
(* a (* x 1/2))
(+ (* (+ (* a x) 1) (+ (* a x) 1)) (+ (* a x) 2))
(* (* 3 (* a x)) (/ 1 (+ (* (+ (* a x) 1) (+ (* a x) 1)) (+ (* a x) 2))))
(/ 1 (+ (* (+ (* a x) 1) (+ (* a x) 1)) (+ (* a x) 2)))
(+ (* a x) 1)
(* 3 (* a x))

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

simplify399.0ms (3.7%)

Memory

5.2MiB live, 641.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 640×	`accelerator-lowering-fma.f32`
7 640×	`accelerator-lowering-fma.f64`
6 096×	`-lowering-.f32`
6 096×	`-lowering-.f64`
3 756×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	502	3730
1	1783	3563
2	6875	3531
0	8400	3357

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(* 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
(- (* a x) 1)
(- (* a x) 1)
(- (* a x) 1)
(* a x)
(* a (- x (/ 1 a)))
(* a (- x (/ 1 a)))
(* a (- x (/ 1 a)))
(* a x)
(* -1 (* a (+ (* -1 x) (/ 1 a))))
(* -1 (* a (+ (* -1 x) (/ 1 a))))
(* -1 (* a (+ (* -1 x) (/ 1 a))))
-1
(- (* a x) 1)
(- (* a x) 1)
(- (* a x) 1)
(* a x)
(* x (- a (/ 1 x)))
(* x (- a (/ 1 x)))
(* x (- a (/ 1 x)))
(* a x)
(* -1 (* x (+ (* -1 a) (/ 1 x))))
(* -1 (* x (+ (* -1 a) (/ 1 x))))
(* -1 (* x (+ (* -1 a) (/ 1 x))))
1
(+ 1 (* 1/2 (* 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)))
a
(* a (+ 1 (* 1/2 (* a x))))
(* a (+ 1 (* 1/2 (* a x))))
(* a (+ 1 (* 1/2 (* a x))))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
a
(+ a (* 1/2 (* (pow a 2) x)))
(+ a (* 1/2 (* (pow a 2) x)))
(+ a (* 1/2 (* (pow a 2) x)))
(* 1/2 (* (pow a 2) x))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) x))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 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)))
(* 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)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 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))
3
(+ 3 (* a (+ x (* 2 x))))
(+ 3 (* a (+ x (+ (* 2 x) (* a (pow x 2))))))
(+ 3 (* a (+ x (+ (* 2 x) (* a (pow x 2))))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (+ (/ x a) (pow x 2))))
(* (pow a 2) (+ (* 2 (/ x a)) (+ (/ 3 (pow a 2)) (+ (/ x a) (pow x 2)))))
(* (pow a 2) (+ (* 2 (/ x a)) (+ (/ 3 (pow a 2)) (+ (/ x a) (pow x 2)))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* -1 (/ (+ (* -2 x) (* -1 x)) a)) (pow x 2)))
(* (pow a 2) (+ (* -1 (/ (- (+ (* -2 x) (* -1 x)) (* 3 (/ 1 a))) a)) (pow x 2)))
(* (pow a 2) (+ (* -1 (/ (- (+ (* -2 x) (* -1 x)) (* 3 (/ 1 a))) a)) (pow x 2)))
3
(+ 3 (* x (+ a (* 2 a))))
(+ 3 (* x (+ a (+ (* 2 a) (* (pow a 2) x)))))
(+ 3 (* x (+ a (+ (* 2 a) (* (pow a 2) x)))))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (+ (/ a x) (pow a 2))))
(* (pow x 2) (+ (* 2 (/ a x)) (+ (/ 3 (pow x 2)) (+ (/ a x) (pow a 2)))))
(* (pow x 2) (+ (* 2 (/ a x)) (+ (/ 3 (pow x 2)) (+ (/ a x) (pow a 2)))))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* -1 (/ (+ (* -2 a) (* -1 a)) x)) (pow a 2)))
(* (pow x 2) (+ (* -1 (/ (- (+ (* -2 a) (* -1 a)) (* 3 (/ 1 x))) x)) (pow a 2)))
(* (pow x 2) (+ (* -1 (/ (- (+ (* -2 a) (* -1 a)) (* 3 (/ 1 x))) x)) (pow a 2)))
(* a x)
(* a (+ x (* -1/3 (* a (* x (+ x (* 2 x)))))))
(* a (+ x (* a (+ (* -3 (* a (+ (* -1/27 (* x (pow (+ x (* 2 x)) 2))) (* 1/9 (pow x 3))))) (* -1/3 (* x (+ x (* 2 x))))))))
(* a (+ x (* a (+ (* -1/3 (* x (+ x (* 2 x)))) (* a (+ (* -3 (* a (+ (* -1/3 (* (+ x (* 2 x)) (+ (* -1/27 (* x (pow (+ x (* 2 x)) 2))) (* 1/9 (pow x 3))))) (* -1/27 (* (pow x 3) (+ x (* 2 x))))))) (* -3 (+ (* -1/27 (* x (pow (+ x (* 2 x)) 2))) (* 1/9 (pow x 3))))))))))
(/ 3 (* a x))
(/ (- (* 3 (/ 1 x)) (* 9 (/ 1 (* a (pow x 2))))) a)
(/ (- (+ (* -3 (/ (+ (* -3 (/ (+ x (* 2 x)) (pow x 4))) (* 3 (/ 1 (pow x 3)))) (pow a 2))) (* 3 (/ 1 x))) (/ 9 (* a (pow x 2)))) a)
(/ (- (+ (* -3 (/ (+ (* -3 (/ (+ x (* 2 x)) (pow x 4))) (* 3 (/ 1 (pow x 3)))) (pow a 2))) (+ (* 3 (/ (- (* 9 (/ 1 (pow x 4))) (* -1 (/ (* (+ x (* 2 x)) (+ (* -3 (/ (+ x (* 2 x)) (pow x 4))) (* 3 (/ 1 (pow x 3))))) (pow x 2)))) (pow a 3))) (* 3 (/ 1 x)))) (/ 9 (* a (pow x 2)))) a)
(/ 3 (* a x))
(* -1 (/ (- (* 9 (/ 1 (* a (pow x 2)))) (* 3 (/ 1 x))) a))
(* -1 (/ (- (* -1 (/ (- (* -3 (/ (+ (* 3 (/ (+ (* -2 x) (* -1 x)) (pow x 4))) (* 3 (/ 1 (pow x 3)))) a)) (* 9 (/ 1 (pow x 2)))) a)) (* 3 (/ 1 x))) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -3 (/ (+ (* -1 (/ (* (+ (* -2 x) (* -1 x)) (+ (* 3 (/ (+ (* -2 x) (* -1 x)) (pow x 4))) (* 3 (/ 1 (pow x 3))))) (pow x 2))) (* 9 (/ 1 (pow x 4)))) a)) (* 3 (+ (* 3 (/ (+ (* -2 x) (* -1 x)) (pow x 4))) (* 3 (/ 1 (pow x 3)))))) a)) (* 9 (/ 1 (pow x 2)))) a)) (* 3 (/ 1 x))) a))
(* a x)
(* x (+ a (* -1/3 (* a (* x (+ a (* 2 a)))))))
(* x (+ a (* x (+ (* -3 (* x (+ (* -1/27 (* a (pow (+ a (* 2 a)) 2))) (* 1/9 (pow a 3))))) (* -1/3 (* a (+ a (* 2 a))))))))
(* x (+ a (* x (+ (* -1/3 (* a (+ a (* 2 a)))) (* x (+ (* -3 (* x (+ (* -1/3 (* (+ a (* 2 a)) (+ (* -1/27 (* a (pow (+ a (* 2 a)) 2))) (* 1/9 (pow a 3))))) (* -1/27 (* (pow a 3) (+ a (* 2 a))))))) (* -3 (+ (* -1/27 (* a (pow (+ a (* 2 a)) 2))) (* 1/9 (pow a 3))))))))))
(/ 3 (* a x))
(/ (- (* 3 (/ 1 a)) (* 9 (/ 1 (* (pow a 2) x)))) x)
(/ (- (+ (* -3 (/ (+ (* -3 (/ (+ a (* 2 a)) (pow a 4))) (* 3 (/ 1 (pow a 3)))) (pow x 2))) (* 3 (/ 1 a))) (/ 9 (* (pow a 2) x))) x)
(/ (- (+ (* -3 (/ (+ (* -3 (/ (+ a (* 2 a)) (pow a 4))) (* 3 (/ 1 (pow a 3)))) (pow x 2))) (+ (* 3 (/ (- (* 9 (/ 1 (pow a 4))) (* -1 (/ (* (+ a (* 2 a)) (+ (* -3 (/ (+ a (* 2 a)) (pow a 4))) (* 3 (/ 1 (pow a 3))))) (pow a 2)))) (pow x 3))) (* 3 (/ 1 a)))) (/ 9 (* (pow a 2) x))) x)
(/ 3 (* a x))
(* -1 (/ (- (* 9 (/ 1 (* (pow a 2) x))) (* 3 (/ 1 a))) x))
(* -1 (/ (- (* -1 (/ (- (* -3 (/ (+ (* 3 (/ (+ (* -2 a) (* -1 a)) (pow a 4))) (* 3 (/ 1 (pow a 3)))) x)) (* 9 (/ 1 (pow a 2)))) x)) (* 3 (/ 1 a))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -3 (/ (+ (* -1 (/ (* (+ (* -2 a) (* -1 a)) (+ (* 3 (/ (+ (* -2 a) (* -1 a)) (pow a 4))) (* 3 (/ 1 (pow a 3))))) (pow a 2))) (* 9 (/ 1 (pow a 4)))) x)) (* 3 (+ (* 3 (/ (+ (* -2 a) (* -1 a)) (pow a 4))) (* 3 (/ 1 (pow a 3)))))) x)) (* 9 (/ 1 (pow a 2)))) x)) (* 3 (/ 1 a))) x))
1/3
(+ 1/3 (* -1/9 (* a (+ x (* 2 x)))))
(+ 1/3 (* a (- (* -1 (* a (+ (* -1/27 (pow (+ x (* 2 x)) 2)) (* 1/9 (pow x 2))))) (* 1/9 (+ x (* 2 x))))))
(+ 1/3 (* a (- (* a (- (* -1 (* a (+ (* -1/3 (* (+ x (* 2 x)) (+ (* -1/27 (pow (+ x (* 2 x)) 2)) (* 1/9 (pow x 2))))) (* -1/27 (* (pow x 2) (+ x (* 2 x))))))) (+ (* -1/27 (pow (+ x (* 2 x)) 2)) (* 1/9 (pow x 2))))) (* 1/9 (+ x (* 2 x))))))
(/ 1 (* (pow a 2) (pow x 2)))
(/ (- (/ 1 (pow x 2)) (* 3 (/ 1 (* a (pow x 3))))) (pow a 2))
(/ (- (+ (* -1 (/ (+ (* -3 (/ (+ x (* 2 x)) (pow x 5))) (* 3 (/ 1 (pow x 4)))) (pow a 2))) (/ 1 (pow x 2))) (/ 3 (* a (pow x 3)))) (pow a 2))
(/ (- (+ (/ 1 (pow x 2)) (/ 9 (* (pow a 3) (pow x 5)))) (+ (* -3 (/ (+ x (* 2 x)) (* (pow a 2) (pow x 5)))) (+ (* -1 (/ (* (+ x (* 2 x)) (+ (* -3 (/ (+ x (* 2 x)) (pow x 5))) (* 3 (/ 1 (pow x 4))))) (* (pow a 3) (pow x 2)))) (+ (* 3 (/ 1 (* (pow a 2) (pow x 4)))) (/ 3 (* a (pow x 3))))))) (pow a 2))
(/ 1 (* (pow a 2) (pow x 2)))
(/ (- (/ 1 (pow x 2)) (* 3 (/ 1 (* a (pow x 3))))) (pow a 2))
(/ (+ (* -1 (/ (+ (* 3 (/ (+ (* -2 x) (* -1 x)) (* a (pow x 5)))) (+ (* 3 (/ 1 (pow x 3))) (/ 3 (* a (pow x 4))))) a)) (/ 1 (pow x 2))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 x) (* -1 x)) (+ (* 3 (/ (+ (* -2 x) (* -1 x)) (pow x 5))) (* 3 (/ 1 (pow x 4))))) (* a (pow x 2)))) (/ 9 (* a (pow x 5)))) (+ (* 3 (/ 1 (pow x 4))) (* 3 (/ (+ (* -2 x) (* -1 x)) (pow x 5))))) a)) (* 3 (/ 1 (pow x 3)))) a)) (/ 1 (pow x 2))) (pow a 2))
1/3
(+ 1/3 (* -1/9 (* x (+ a (* 2 a)))))
(+ 1/3 (* x (- (* -1 (* x (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (pow a 2))))) (* 1/9 (+ a (* 2 a))))))
(+ 1/3 (* x (- (* x (- (* -1 (* x (+ (* -1/3 (* (+ a (* 2 a)) (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (pow a 2))))) (* -1/27 (* (pow a 2) (+ a (* 2 a))))))) (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (pow a 2))))) (* 1/9 (+ a (* 2 a))))))
(/ 1 (* (pow a 2) (pow x 2)))
(/ (- (/ 1 (pow a 2)) (* 3 (/ 1 (* (pow a 3) x)))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -3 (/ (+ a (* 2 a)) (pow a 5))) (* 3 (/ 1 (pow a 4)))) (pow x 2))) (/ 1 (pow a 2))) (/ 3 (* (pow a 3) x))) (pow x 2))
(/ (- (+ (/ 1 (pow a 2)) (/ 9 (* (pow a 5) (pow x 3)))) (+ (* -3 (/ (+ a (* 2 a)) (* (pow a 5) (pow x 2)))) (+ (* -1 (/ (* (+ a (* 2 a)) (+ (* -3 (/ (+ a (* 2 a)) (pow a 5))) (* 3 (/ 1 (pow a 4))))) (* (pow a 2) (pow x 3)))) (+ (* 3 (/ 1 (* (pow a 4) (pow x 2)))) (/ 3 (* (pow a 3) x)))))) (pow x 2))
(/ 1 (* (pow a 2) (pow x 2)))
(/ (- (/ 1 (pow a 2)) (* 3 (/ 1 (* (pow a 3) x)))) (pow x 2))
(/ (+ (* -1 (/ (+ (* 3 (/ (+ (* -2 a) (* -1 a)) (* (pow a 5) x))) (+ (* 3 (/ 1 (pow a 3))) (/ 3 (* (pow a 4) x)))) x)) (/ 1 (pow a 2))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 a) (* -1 a)) (+ (* 3 (/ (+ (* -2 a) (* -1 a)) (pow a 5))) (* 3 (/ 1 (pow a 4))))) (* (pow a 2) x))) (/ 9 (* (pow a 5) x))) (+ (* 3 (/ 1 (pow a 4))) (* 3 (/ (+ (* -2 a) (* -1 a)) (pow a 5))))) x)) (* 3 (/ 1 (pow a 3)))) x)) (/ 1 (pow a 2))) (pow x 2))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* 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))

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

eval164.0ms (1.5%)

Memory: -3.4MiB live, 276.0MiB allocated
Compiler: Compiled 39 825 to 3 110 computations (92.2% saved)

prune142.0ms (1.3%)

Memory

-10.1MiB live, 227.0MiB allocated

Pruning

33 alts after pruning (23 fresh and 10 done)

	Pruned	Kept	Total
New	1 104	19	1 123
Fresh	5	4	9
Picked	1	4	5
Done	0	6	6
Total	1 110	33	1 143

Accuracy

100.0%

Counts

1 143 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.0%	(fma.f64 (/.f64 (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x (.f64 a (.f64 x a)) #s(literal -1 binary64))) (/.f64 (fma.f64 x a #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 1 binary64)))) #s(literal -1 binary64))
✓	70.9%	(fma.f64 x a (.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))))))
	70.6%	(/.f64 (.f64 x (.f64 a #s(literal 3 binary64))) (fma.f64 (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x a #s(literal 2 binary64))))
	4.3%	(/.f64 #s(literal 3 binary64) (*.f64 a x))
	69.7%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x a #s(literal 2 binary64))) (.f64 x (.f64 a #s(literal 3 binary64)))))
✓	21.1%	(-.f64 (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)) #s(literal 1 binary64))
✓	19.9%	(-.f64 (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
	20.6%	(-.f64 (/.f64 (fma.f64 (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 1 binary64)) #s(literal 0 binary64)) (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 1 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 a (*.f64 x (fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))
	5.0%	(-.f64 (.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
	19.9%	(+.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
✓	21.0%	(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
	4.3%	(+.f64 #s(literal 1 binary64) (*.f64 a x))
	70.9%	(.f64 (/.f64 (.f64 x a) (fma.f64 (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x a #s(literal 2 binary64)))) #s(literal 3 binary64))
	70.6%	(.f64 (/.f64 a (fma.f64 (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x a #s(literal 2 binary64)))) (/.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
✓	72.1%	(.f64 (.f64 (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) a) x)
✓	70.9%	(.f64 (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) a) x)
	70.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x a #s(literal 2 binary64)))) (*.f64 a #s(literal 3 binary64))) x)
	71.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x a #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 x a))
	70.6%	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x) a) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
	70.6%	(.f64 (.f64 a #s(literal 3 binary64)) (/.f64 x (fma.f64 (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x a #s(literal 2 binary64)))))
	27.3%	(.f64 (.f64 #s(literal 3 binary64) (.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 a x) (fma.f64 a x #s(literal 2 binary64)))))
	70.7%	(.f64 (.f64 #s(literal 3 binary64) (.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 x a #s(literal 1 binary64)) x) a (+.f64 (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x a #s(literal 2 binary64))))))
	70.7%	(.f64 (.f64 #s(literal 3 binary64) (.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 x a #s(literal 1 binary64)) a) x (+.f64 (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x a #s(literal 2 binary64))))))
	64.6%	(.f64 (.f64 #s(literal 3 binary64) (.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (.f64 x x) (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))))
	70.7%	(.f64 (.f64 #s(literal 3 binary64) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x a #s(literal 1 binary64)) (.f64 x a)) #s(literal 2 binary64))))
	3.2%	(.f64 (.f64 #s(literal 3 binary64) (.f64 a x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 a a (.f64 #s(literal 3 binary64) (/.f64 a x)))))))
	3.0%	(.f64 (.f64 #s(literal 3 binary64) (.f64 a x)) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 x x)))))
	71.1%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 a x)) #s(literal 1/3 binary64))
✓	71.3%	(*.f64 x a)
✓	71.3%	(.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))))
	70.9%	(.f64 #s(literal 1/3 binary64) (.f64 a (*.f64 #s(literal 3 binary64) x)))
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	18.4%	#s(literal 0 binary64)

Compiler

Compiled 1 547 to 516 computations (66.6% saved)

regimes80.0ms (0.8%)

Memory

15.0MiB live, 94.8MiB allocated

Counts

56 → 1

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	x
16.0ms	(exp.f64 (*.f64 a x))
15.0ms	a
14.0ms	(*.f64 a x)
12.0ms	(-.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)

regimes90.0ms (0.8%)

Memory

12.8MiB live, 122.1MiB allocated

Counts

54 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

24.0ms	x
18.0ms	(exp.f64 (*.f64 a x))
18.0ms	(*.f64 a x)
14.0ms	a
12.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
72.2%	1	`a`
72.2%	1	`x`
73.8%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
73.8%	2	`(exp.f64 (*.f64 a x))`
73.8%	2	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes79.0ms (0.7%)

Memory

-26.2MiB live, 79.9MiB allocated

Counts

49 → 1

Calls

Call 1

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

Outputs
(.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)))

Calls

4 calls:

31.0ms	(exp.f64 (*.f64 a x))
22.0ms	(*.f64 a x)
13.0ms	x
11.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
72.2%	1	`x`
72.2%	1	`(*.f64 a x)`
72.2%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
72.2%	1	`(exp.f64 (*.f64 a x))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes47.0ms (0.4%)

Memory

-27.1MiB live, 47.6MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x a)
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (*.f64 a x)))
(.f64 #s(literal 1/3 binary64) (.f64 a (*.f64 #s(literal 3 binary64) x)))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 a x)) #s(literal 1/3 binary64))
(/.f64 #s(literal 3 binary64) (*.f64 a x))
(.f64 a (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) a) x)
(-.f64 (.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x (fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(fma.f64 x a (.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))))))

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

Calls

5 calls:

16.0ms	x
6.0ms	a
5.0ms	(*.f64 a x)
5.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
5.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
73.2%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
73.2%	2	`(exp.f64 (*.f64 a x))`
71.3%	1	`a`
73.2%	2	`(*.f64 a x)`
71.3%	1	`x`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes6.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x a)
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (*.f64 a x)))
(.f64 #s(literal 1/3 binary64) (.f64 a (*.f64 #s(literal 3 binary64) x)))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 a x)) #s(literal 1/3 binary64))
(/.f64 #s(literal 3 binary64) (*.f64 a x))
(.f64 a (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) a) x)
(-.f64 (.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x (fma.f64 (fma.f64 a x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))

Outputs

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

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

Calls

1 calls:

5.0ms

(*.f64 a x)

Results

Accuracy	Segments	Branch
73.2%	2	`(*.f64 a x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes12.0ms (0.1%)

Memory

22.1MiB live, 22.2MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x a)
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (*.f64 a x)))
(.f64 #s(literal 1/3 binary64) (.f64 a (*.f64 #s(literal 3 binary64) x)))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 a x)) #s(literal 1/3 binary64))
(/.f64 #s(literal 3 binary64) (*.f64 a x))
(.f64 a (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) a) x)

Outputs
(*.f64 a x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.3%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
71.3%	1	`(exp.f64 (*.f64 a x))`
71.3%	1	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes17.0ms (0.2%)

Memory

-32.2MiB live, 15.8MiB 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:

11.0ms	(*.f64 a x)
1.0ms	x
1.0ms	a
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
18.4%	1	`a`
18.4%	1	`x`
18.4%	1	`(*.f64 a x)`
18.4%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
18.4%	1	`(exp.f64 (*.f64 a x))`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.345057333969515e-6	0.9999999899097028

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-559256577.0232742	-255326065.82373843

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-559256577.0232742	-255326065.82373843

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify9.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	134
1	69	134
2	72	134
3	77	134

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (exp.f64 (.f64 a x)) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 (/.f64 (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x (.f64 a (.f64 x a)) #s(literal -1 binary64))) (/.f64 (fma.f64 x a #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 1 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)))))
(.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)))
(if (<=.f64 (.f64 a x) #s(literal -500000000 binary64)) (-.f64 (.f64 a (.f64 a (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) (fma.f64 x a (.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64)))))))
(if (<=.f64 (.f64 a x) #s(literal -500000000 binary64)) (-.f64 (.f64 a (.f64 a (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) a) x))
(*.f64 a x)
#s(literal 0 binary64)

Outputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (exp.f64 (.f64 a x)) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 (/.f64 (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x (.f64 a (.f64 x a)) #s(literal -1 binary64))) (/.f64 (fma.f64 x a #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 1 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)))))
(if (<=.f64 (exp.f64 (.f64 a x)) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 (/.f64 (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x (.f64 a (.f64 a x)) #s(literal -1 binary64))) (/.f64 (fma.f64 x a #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 1 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)))))
(.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)))
(if (<=.f64 (.f64 a x) #s(literal -500000000 binary64)) (-.f64 (.f64 a (.f64 a (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) (fma.f64 x a (.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64)))))))
(if (<=.f64 (.f64 a x) #s(literal -500000000 binary64)) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) (fma.f64 x a (.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64)))))))
(if (<=.f64 (.f64 a x) #s(literal -500000000 binary64)) (-.f64 (.f64 a (.f64 a (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) a) x))
(if (<=.f64 (.f64 a x) #s(literal -500000000 binary64)) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) (.f64 x (.f64 a (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 a x)
#s(literal 0 binary64)

soundness2.2s (20.2%)

Memory

-4.8MiB live, 785.0MiB allocated

Rules

18 656×	`accelerator-lowering-fma.f32`
18 656×	`accelerator-lowering-fma.f64`
8 560×	`accelerator-lowering-fma.f32`
8 560×	`accelerator-lowering-fma.f64`
8 368×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	115
1	182	111
2	1771	111
0	8994	96
0	227	2396
1	747	2386
2	2393	2304
3	5112	2264
0	8357	2024
0	26	136
1	157	130
2	1300	130
0	8445	117
0	942	7509
1	3398	7317
0	8413	6831
0	63	432
1	195	432
2	526	424
3	1050	424
4	1650	424
5	1848	424
6	1875	424
7	1895	424
8	1909	424
9	1912	424
10	1912	424
11	2607	420
12	3082	420
13	4049	420
14	4050	420
15	4050	420
16	4178	420
17	4178	420
18	6095	416
19	6319	416
20	6361	416
21	6375	416
22	6375	416
23	6551	416
24	6889	416
25	6889	416
26	7463	416
0	7463	360

Stop Event

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

Compiler

Compiled 293 to 153 computations (47.8% saved)

preprocess61.0ms (0.6%)

Memory: 23.4MiB live, 99.3MiB allocated
Remove: (sort a x)
Compiler: Compiled 312 to 124 computations (60.3% 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

analyze18.0ms (0.2%)

sample782.0ms (7.3%)

preprocess20.0ms (0.2%)

explain78.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize21.0ms (0.2%)

series4.0ms (0%)

rewrite119.0ms (1.1%)

simplify354.0ms (3.3%)

eval21.0ms (0.2%)

prune22.0ms (0.2%)

simplify448.0ms (4.2%)

localize173.0ms (1.6%)

series18.0ms (0.2%)

rewrite494.0ms (4.6%)

simplify539.0ms (5.1%)

eval221.0ms (2.1%)

prune156.0ms (1.5%)

simplify506.0ms (4.7%)

localize258.0ms (2.4%)

series44.0ms (0.4%)

rewrite415.0ms (3.9%)

simplify465.0ms (4.4%)

eval201.0ms (1.9%)

prune170.0ms (1.6%)

simplify1.0s (9.4%)

localize250.0ms (2.3%)

series19.0ms (0.2%)

rewrite579.0ms (5.4%)

simplify399.0ms (3.7%)

eval164.0ms (1.5%)

prune142.0ms (1.3%)

regimes80.0ms (0.8%)

regimes90.0ms (0.8%)

regimes79.0ms (0.7%)

regimes47.0ms (0.4%)

regimes6.0ms (0.1%)

regimes12.0ms (0.1%)

regimes17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness2.2s (20.2%)

preprocess61.0ms (0.6%)

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