Metrics for expax (section 3.5)

analyze21.0ms (0.2%)

Memory

-15.4MiB live, 25.6MiB 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)

sample589.0ms (6.8%)

Memory

28.5MiB live, 691.7MiB allocated

Samples

368.0ms	8 256×	0	valid
15.0ms	318×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-mult: 85.0ms (50.4% of total)

ival-expm1: 52.0ms (30.8% of total)

ival->: 22.0ms (13% of total)

exact: 7.0ms (4.1% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

preprocess67.0ms (0.8%)

Memory

-7.5MiB live, 31.0MiB 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)

explain98.0ms (1.1%)

Memory

11.1MiB live, 130.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
119	-	-	`(-.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	119	0

Confusion

	Predicted +	Predicted -
+	119	0
-	0	137

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	0	0
-	0	0	137

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	137
1	119

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 52 to 28 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-exp: 4.0ms (33.6% of total)

ival-mult: 4.0ms (33.6% of total)

ival-expm1: 3.0ms (25.2% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.0%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0%)

Memory

6.7MiB live, 6.7MiB 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

3.8MiB live, 42.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(exp.f64 (*.f64 a x))
✓	accuracy	58.0%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

14.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-exp: 2.0ms (34.4% of total)

ival-mult: 2.0ms (34.4% of total)

ival-expm1: 2.0ms (34.4% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

-30.4MiB live, 8.1MiB 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)

rewrite94.0ms (1.1%)

Memory

30.3MiB live, 153.7MiB 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 (*.f64 a x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))
(+.f64 (/.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))))
(+.f64 (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))))
(-.f64 (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))))
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 a x)) (/.f64 (exp.f64 (.f64 a x)) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))))
(fma.f64 (exp.f64 (.f64 a x)) (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))))
(fma.f64 (exp.f64 (.f64 a (+.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(fma.f64 (exp.f64 (.f64 a (+.f64 x x))) (/.f64 (exp.f64 (.f64 a x)) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))))
(fma.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (.f64 (exp.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3/2 binary64))) (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3/2 binary64))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))))
(fma.f64 (/.f64 (exp.f64 (.f64 a x)) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (exp.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (expm1.f64 (.f64 a (+.f64 x x)))) (expm1.f64 (.f64 a x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))))) (fma.f64 (exp.f64 (.f64 a x)) (expm1.f64 (.f64 a x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (exp.f64 (.f64 a (+.f64 x x)))) (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))))
(fma.f64 (/.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (.f64 a x))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(neg.f64 (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))))
(neg.f64 (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 a x))))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 a (+.f64 x x)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))) (expm1.f64 (.f64 a (*.f64 x #s(literal 3 binary64))))))
(/.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a (+.f64 x x))) (.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))))
(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 a (+.f64 x x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 a (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (exp.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64))))))
(/.f64 (expm1.f64 (.f64 (.f64 a (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (exp.f64 (.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))))))
(/.f64 (expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 x #s(literal 3 binary64)))))))
(/.f64 (expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))))))
(/.f64 (expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 a x))))
(/.f64 (expm1.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) (.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))
(/.f64 (-.f64 (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (exp.f64 (.f64 a (+.f64 x x)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 a (+.f64 x x))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (exp.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/.f64 (.f64 (expm1.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 a (+.f64 x x))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 a x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) (/.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) (.f64 (/.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (.f64 (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) (/.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))))) (+.f64 (/.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))))) (+.f64 (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (exp.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 x #s(literal 3 binary64))))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))) (+.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))
(/.f64 (.f64 (expm1.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x)))
(.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))
(.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))))
(.f64 (expm1.f64 (.f64 a (+.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 a x)) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))))
(.f64 (neg.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))))
(.f64 (neg.f64 (expm1.f64 (.f64 a (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (*.f64 a (+.f64 x x))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (.f64 a x)))
(.f64 (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (expm1.f64 (.f64 a (+.f64 x x)))) (expm1.f64 (.f64 a x)))
(.f64 (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (exp.f64 (.f64 a (+.f64 x x)))) (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x))))))
(.f64 (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (*.f64 a x))))
(.f64 (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))))) (fma.f64 (exp.f64 (.f64 a x)) (expm1.f64 (.f64 a x)) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(pow.f64 (exp.f64 a) x)
(pow.f64 (exp.f64 a) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 a) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 (+.f64 a a)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))
(.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (exp.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(log.f64 (exp.f64 (*.f64 a x)))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (log.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (log.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(fma.f64 a x #s(literal 0 binary64))
(fma.f64 a (log.f64 (exp.f64 x)) #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(*.f64 a x)
(*.f64 a (log.f64 (exp.f64 x)))
(*.f64 x a)

simplify313.0ms (3.6%)

Memory

-10.1MiB live, 424.1MiB 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 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)

eval23.0ms (0.3%)

Memory: -8.4MiB live, 67.8MiB allocated
Compiler: Compiled 3 186 to 324 computations (89.8% saved)

prune38.0ms (0.4%)

Memory

6.4MiB live, 59.1MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	176	7	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	177	7	184

Accuracy

100.0%

Counts

184 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 (expm1.f64 (.f64 (.f64 a (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (exp.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64))))))
▶	22.8%	(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
▶	20.7%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	59.4%	(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
▶	58.4%	(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
▶	64.1%	(*.f64 a x)
▶	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 190 to 110 computations (42.1% saved)

simplify331.0ms (3.8%)

Memory

1.1MiB live, 423.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	cost-diff	0	(fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
✓	cost-diff	0	(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
✓	cost-diff	0	(fma.f64 a x #s(literal 1 binary64))
✓	cost-diff	256	(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(expm1.f64 (*.f64 a x))

Rules

13 500×	`accelerator-lowering-fma.f32`
13 500×	`accelerator-lowering-fma.f64`
3 114×	`-lowering-.f32`
3 114×	`-lowering-.f64`
3 002×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	60
1	39	60
2	72	60
3	216	60
4	782	60
5	2840	60
6	4962	60
7	7855	60
0	8114	55

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize67.0ms (0.8%)

Memory

27.6MiB live, 107.7MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	accuracy	95.9%	(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
✓	accuracy	91.8%	(fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
✓	accuracy	100.0%	(fma.f64 a x #s(literal 1 binary64))
✓	accuracy	58.0%	(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	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

22.0ms	83×	2	valid
13.0ms	73×	1	valid
12.0ms	100×	0	valid

Compiler

Compiled 62 to 16 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 9.0ms (29.9% of total)

ival-add: 7.0ms (23.2% of total)

adjust: 5.0ms (16.6% of total)

ival-sub: 4.0ms (13.3% of total)

ival-expm1: 3.0ms (10% of total)

exact: 0.0ms (0% of total)

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

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

series8.0ms (0.1%)

Memory

-27.3MiB live, 11.2MiB allocated

Counts

9 → 168

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

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

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(* a (+ (* a (* 1/2 (* x x))) x))
1.0ms	a	@	0	(* a (+ (* a (* 1/2 (* x x))) x))
1.0ms	a	@	inf	(* a (+ (* a (* 1/2 (* x x))) x))
1.0ms	x	@	inf	(* a (+ (* a (* 1/2 (* x x))) x))
0.0ms	x	@	0	(* a (+ (* a (* 1/2 (* x x))) x))

rewrite360.0ms (4.2%)

Memory

8.9MiB live, 482.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 428×	`accelerator-lowering-fma.f32`
9 428×	`accelerator-lowering-fma.f64`
5 232×	`-lowering-.f32`
5 232×	`-lowering-.f64`
3 696×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	85	46
2	654	46
0	8898	41

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 569

Calls

Call 1

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

Outputs
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))
(+.f64 (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 a (+.f64 x x))))))))
(+.f64 (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 a (+.f64 x x)))))))
(-.f64 (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))))
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 a (+.f64 x x))))))))
(fma.f64 (exp.f64 (.f64 a (+.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(fma.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 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))
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(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a x) x)
(fma.f64 (.f64 x (.f64 a x)) #s(literal 1/2 binary64) x)
(fma.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) x x)
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (.f64 x x)) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (fma.f64 x (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 a a) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (fma.f64 x x (.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) (-.f64 (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (.f64 x x))) (neg.f64 (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (.f64 (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x) (.f64 x x))) (.f64 (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) #s(literal 9 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (fma.f64 x (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (neg.f64 x)) x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (neg.f64 x)) x)) (fma.f64 x (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (neg.f64 x)) x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64)))))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 x x)) (-.f64 (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 a a) #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))))) (neg.f64 (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)))) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))))))
(.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64)))))))
(.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x))))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify443.0ms (5.1%)

Memory

22.0MiB live, 573.3MiB allocated

Algorithm

1×	egg-herbie

Rules

17 360×	`accelerator-lowering-fma.f32`
17 360×	`accelerator-lowering-fma.f64`
5 612×	`-lowering-.f32`
5 612×	`-lowering-.f64`
2 190×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	992
1	308	992
2	783	988
3	2436	988
4	6574	988
0	8168	890

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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

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

eval104.0ms (1.2%)

Memory: 4.6MiB live, 191.3MiB allocated
Compiler: Compiled 19 202 to 1 260 computations (93.4% saved)

prune98.0ms (1.1%)

Memory

-8.9MiB live, 198.6MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	860	20	880
Fresh	1	1	2
Picked	3	2	5
Done	0	0	0
Total	864	23	887

Accuracy

100.0%

Counts

887 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.9%	(fma.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64))))) #s(literal -1 binary64))
	21.6%	(fma.f64 (/.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64))) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64))
	21.9%	(fma.f64 (/.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64))) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
	60.3%	(fma.f64 (.f64 (.f64 a a) (.f64 x #s(literal 1/2 binary64))) x (.f64 a x))
	63.8%	(/.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x)) (fma.f64 a x #s(literal 2 binary64)))
▶	27.9%	(/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x))
	27.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))))
	63.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
▶	6.1%	(-.f64 (fma.f64 (/.f64 (fma.f64 a x #s(literal 2 binary64)) x) (/.f64 (*.f64 a x) a) #s(literal -1 binary64)) #s(literal 1 binary64))
	22.2%	(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) x) a))) #s(literal -1 binary64)) #s(literal 1 binary64))
	21.9%	(-.f64 (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
	20.5%	(-.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 a (.f64 a x)) (.f64 a (.f64 a x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
	22.8%	(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))
▶	22.1%	(.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (.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)))))
	63.8%	(.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))))
	22.8%	(.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 x (*.f64 a x)))))
	27.5%	(.f64 (.f64 a (.f64 x (.f64 a x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
▶	64.6%	(.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
	59.4%	(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
	63.3%	(.f64 a (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
✓	64.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	20.7%	#s(literal 0 binary64)

Compiler

Compiled 853 to 427 computations (49.9% saved)

simplify348.0ms (4%)

Memory

33.6MiB live, 495.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 a x #s(literal 1 binary64))
✓	cost-diff	64	(fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)) #s(literal -1 binary64))
✓	cost-diff	320	(.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (.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	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	0	(/.f64 (fma.f64 a x #s(literal 2 binary64)) x)
✓	cost-diff	256	(-.f64 (fma.f64 (/.f64 (fma.f64 a x #s(literal 2 binary64)) x) (/.f64 (*.f64 a x) a) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	cost-diff	1024	(/.f64 (*.f64 a x) a)
✓	cost-diff	1088	(fma.f64 (/.f64 (fma.f64 a x #s(literal 2 binary64)) x) (/.f64 (*.f64 a x) a) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 x (.f64 a x))
✓	cost-diff	0	(.f64 a (.f64 x (*.f64 a x)))
✓	cost-diff	1664	(/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 a (.f64 a x))
✓	cost-diff	0	(fma.f64 (.f64 a (.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))

Rules

16 366×	`accelerator-lowering-fma.f32`
16 366×	`accelerator-lowering-fma.f64`
4 292×	`-lowering-.f32`
4 292×	`-lowering-.f64`
2 446×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	247
1	107	241
2	373	233
3	1292	213
4	5410	193
5	6064	193
0	8188	170

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize196.0ms (2.3%)

Memory

-14.5MiB live, 269.5MiB 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	92.6%	(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	75.4%	(.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (.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	58.0%	(fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)) #s(literal -1 binary64))
✓	accuracy	99.5%	(fma.f64 (/.f64 (fma.f64 a x #s(literal 2 binary64)) x) (/.f64 (*.f64 a x) a) #s(literal -1 binary64))
✓	accuracy	91.5%	(/.f64 (fma.f64 a x #s(literal 2 binary64)) x)
✓	accuracy	75.6%	(/.f64 (*.f64 a x) a)
✓	accuracy	58.0%	(-.f64 (fma.f64 (/.f64 (fma.f64 a x #s(literal 2 binary64)) x) (/.f64 (*.f64 a x) a) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.8%	(.f64 x (.f64 a x))
✓	accuracy	94.5%	(.f64 a (.f64 x (*.f64 a x)))
✓	accuracy	47.6%	(/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x))
✓	accuracy	99.9%	(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.7%	(.f64 a (.f64 a x))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	98.8%	(.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))

Samples

59.0ms	73×	1	valid
51.0ms	75×	2	valid
24.0ms	100×	0	valid
7.0ms	8×	3	valid

Compiler

Compiled 230 to 36 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 31.0ms (37% of total)

ival-add: 17.0ms (20.3% of total)

adjust: 13.0ms (15.5% of total)

ival-div: 12.0ms (14.3% of total)

ival-sub: 5.0ms (6% of total)

const: 4.0ms (4.8% of total)

exact: 1.0ms (1.2% of total)

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

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

series38.0ms (0.4%)

Memory

-5.2MiB live, 31.4MiB allocated

Counts

18 → 420

Calls

Call 1

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

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

105 calls:

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

rewrite386.0ms (4.5%)

Memory

20.9MiB live, 528.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 352×	`-lowering-.f32`
5 352×	`-lowering-.f64`
4 146×	`accelerator-lowering-fma.f32`
4 146×	`accelerator-lowering-fma.f64`
4 060×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	200
1	244	188
2	2331	182
0	8528	159

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 618

Calls

Call 1

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

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

simplify713.0ms (8.3%)

Memory

-41.9MiB live, 554.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 686×	`accelerator-lowering-fma.f32`
10 686×	`accelerator-lowering-fma.f64`
7 728×	`-lowering-.f32`
7 728×	`-lowering-.f64`
4 224×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	614	4277
1	2171	3991
0	8356	3796

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

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

eval252.0ms (2.9%)

Memory: 28.0MiB live, 209.2MiB allocated
Compiler: Compiled 46 972 to 3 077 computations (93.4% saved)

prune232.0ms (2.7%)

Memory

-15.1MiB live, 264.3MiB allocated

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	1 250	20	1 270
Fresh	10	6	16
Picked	3	2	5
Done	0	2	2
Total	1 263	30	1 293

Accuracy

100.0%

Counts

1 293 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.6%	(fma.f64 (fma.f64 x a #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))
▶	4.0%	(fma.f64 (*.f64 (/.f64 (fma.f64 x a #s(literal 2 binary64)) x) a) (/.f64 x a) #s(literal -2 binary64))
	60.3%	(fma.f64 (.f64 (.f64 a a) (.f64 x #s(literal 1/2 binary64))) x (.f64 a x))
	4.6%	(fma.f64 (.f64 x (.f64 a (fma.f64 x a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal -2 binary64))
	5.2%	(fma.f64 (.f64 x a) (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (fma.f64 x a #s(literal 2 binary64)) x)) #s(literal -2 binary64))
	5.0%	(fma.f64 (.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (.f64 x a)) #s(literal -2 binary64))
	5.3%	(fma.f64 a (*.f64 (/.f64 x a) (/.f64 (fma.f64 x a #s(literal 2 binary64)) x)) #s(literal -2 binary64))
	41.7%	(/.f64 (/.f64 (.f64 a (.f64 x (*.f64 x a))) x) a)
	17.9%	(/.f64 (.f64 (.f64 x (.f64 a a)) x) (.f64 a x))
▶	29.6%	(/.f64 (.f64 (.f64 x a) (.f64 x a)) (.f64 a x))
	52.5%	(/.f64 (.f64 x (.f64 x a)) x)
	19.3%	(/.f64 (.f64 a (.f64 (.f64 x x) a)) (.f64 a x))
	52.4%	(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x a))))
▶	63.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
	5.1%	(-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 x a) (.f64 a (.f64 x (.f64 x a))) #s(literal 8 binary64)) (.f64 x (-.f64 (fma.f64 a (.f64 x (.f64 x a)) #s(literal 4 binary64)) (.f64 x (.f64 a #s(literal 2 binary64)))))) (/.f64 (.f64 a x) a) #s(literal -1 binary64)) #s(literal 1 binary64))
	16.2%	(-.f64 (fma.f64 (/.f64 (fma.f64 a x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
	4.2%	(-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 a x) a) #s(literal -1 binary64)) #s(literal 1 binary64))
	22.2%	(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) x) a))) #s(literal -1 binary64)) #s(literal 1 binary64))
	6.1%	(-.f64 (fma.f64 (.f64 (fma.f64 x a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 a x) a) #s(literal -1 binary64)) #s(literal 1 binary64))
▶	22.8%	(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))
	40.0%	(.f64 (/.f64 (.f64 x (*.f64 x a)) a) (/.f64 a x))
	52.4%	(.f64 (.f64 x (*.f64 x a)) (/.f64 #s(literal 1 binary64) x))
▶	46.2%	(.f64 (.f64 x a) (.f64 (.f64 x a) (/.f64 #s(literal 1 binary64) (*.f64 x a))))
	63.4%	(.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)))))
✓	64.6%	(.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
	59.4%	(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
	63.3%	(.f64 a (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
✓	64.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	20.7%	#s(literal 0 binary64)

Compiler

Compiled 855 to 500 computations (41.5% saved)

simplify216.0ms (2.5%)

Memory

-0.5MiB live, 357.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x a #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x a #s(literal 2 binary64)) x)
✓	cost-diff	0	(*.f64 (/.f64 (fma.f64 x a #s(literal 2 binary64)) x) a)
✓	cost-diff	2176	(fma.f64 (*.f64 (/.f64 (fma.f64 x a #s(literal 2 binary64)) x) a) (/.f64 x a) #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x a))
✓	cost-diff	0	(*.f64 x a)
✓	cost-diff	320	(.f64 (.f64 x a) (.f64 (.f64 x a) (/.f64 #s(literal 1 binary64) (*.f64 x a))))
✓	cost-diff	1664	(.f64 (.f64 x a) (/.f64 #s(literal 1 binary64) (*.f64 x a)))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(*.f64 x a)
✓	cost-diff	0	(.f64 (.f64 x a) (*.f64 x a))
✓	cost-diff	1664	(/.f64 (.f64 (.f64 x a) (.f64 x a)) (.f64 a x))
✓	cost-diff	0	(fma.f64 a x #s(literal -1 binary64))
✓	cost-diff	256	(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 a x))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))

Rules

6 788×	`accelerator-lowering-fma.f32`
6 788×	`accelerator-lowering-fma.f64`
5 300×	`-lowering-.f32`
5 300×	`-lowering-.f64`
2 012×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	90
1	74	90
2	319	90
3	4143	90
4	5619	90
0	8016	86

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize142.0ms (1.6%)

Memory

16.3MiB live, 205.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x a)
✓	accuracy	99.8%	(*.f64 (/.f64 (fma.f64 x a #s(literal 2 binary64)) x) a)
✓	accuracy	91.5%	(/.f64 (fma.f64 x a #s(literal 2 binary64)) x)
✓	accuracy	26.2%	(fma.f64 (*.f64 (/.f64 (fma.f64 x a #s(literal 2 binary64)) x) a) (/.f64 x a) #s(literal -2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 x a) (.f64 (.f64 x a) (/.f64 #s(literal 1 binary64) (*.f64 x a))))
✓	accuracy	100.0%	(*.f64 x a)
✓	accuracy	98.2%	(/.f64 #s(literal 1 binary64) (*.f64 x a))
✓	accuracy	73.9%	(.f64 (.f64 x a) (/.f64 #s(literal 1 binary64) (*.f64 x a)))
✓	accuracy	100.0%	(*.f64 x a)
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.6%	(.f64 (.f64 x a) (*.f64 x a))
✓	accuracy	47.6%	(/.f64 (.f64 (.f64 x a) (.f64 x a)) (.f64 a x))
✓	accuracy	100.0%	(fma.f64 a x #s(literal -1 binary64))
✓	accuracy	57.9%	(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
✓	accuracy	98.2%	(/.f64 #s(literal 1 binary64) (*.f64 a x))

Samples

42.0ms	75×	2	valid
29.0ms	74×	1	valid
20.0ms	99×	0	valid
5.0ms	8×	3	valid

Compiler

Compiled 131 to 25 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 29.0ms (44% of total)

ival-div: 20.0ms (30.4% of total)

ival-add: 9.0ms (13.7% of total)

adjust: 7.0ms (10.6% of total)

exact: 1.0ms (1.5% of total)

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

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

series13.0ms (0.2%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

16 → 384

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(* (/ (+ (* x a) 2) x) a)
0.0ms	x	@	0	(* (/ (+ (* x a) 2) x) a)
0.0ms	x	@	-inf	(/ x a)
0.0ms	a	@	0	(* (/ (+ (* x a) 2) x) a)
0.0ms	x	@	0	(/ 1 (* a x))

rewrite426.0ms (4.9%)

Memory

-30.4MiB live, 612.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 214×	`-lowering-.f32`
6 214×	`-lowering-.f64`
5 478×	`accelerator-lowering-fma.f32`
5 478×	`accelerator-lowering-fma.f64`
3 796×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	78
1	169	78
2	1407	78
0	8741	72

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 2 548

Calls

Call 1

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

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

simplify332.0ms (3.8%)

Memory

66.7MiB live, 488.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 776×	`accelerator-lowering-fma.f32`
6 776×	`accelerator-lowering-fma.f64`
3 200×	`-lowering-.f32`
3 200×	`-lowering-.f64`
1 810×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	1572
1	159	1572
2	357	1500
3	802	1464
4	2132	1464
5	4825	1464
6	7701	1464
0	8172	1428

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

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

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

eval701.0ms (8.1%)

Memory: 37.3MiB live, 983.8MiB allocated
Compiler: Compiled 88 626 to 6 277 computations (92.9% saved)

prune591.0ms (6.8%)

Memory

-33.2MiB live, 975.4MiB allocated

Pruning

42 alts after pruning (34 fresh and 8 done)

	Pruned	Kept	Total
New	4 521	21	4 542
Fresh	8	13	21
Picked	1	4	5
Done	0	4	4
Total	4 530	42	4 572

Accuracy

100.0%

Counts

4 572 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.6%	(fma.f64 (fma.f64 x a #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))
	3.3%	(fma.f64 (.f64 (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 8 binary64)) (.f64 x (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 4 binary64)) (.f64 (.f64 a x) #s(literal 2 binary64))))) a) (/.f64 x a) #s(literal -2 binary64))
	5.3%	(fma.f64 (*.f64 (/.f64 x a) (/.f64 (fma.f64 a x #s(literal 2 binary64)) x)) a #s(literal -2 binary64))
	3.6%	(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) a) (/.f64 x a) #s(literal -2 binary64))
	60.3%	(fma.f64 (.f64 (.f64 a a) (.f64 x #s(literal 1/2 binary64))) x (.f64 a x))
	4.6%	(fma.f64 (.f64 x (.f64 a (fma.f64 x a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal -2 binary64))
	5.0%	(fma.f64 (.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (.f64 x a)) #s(literal -2 binary64))
	3.0%	(fma.f64 (*.f64 a a) (/.f64 x a) #s(literal -2 binary64))
	5.5%	(fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (fma.f64 a x #s(literal 2 binary64)) (/.f64 a x))) #s(literal -2 binary64))
	41.7%	(/.f64 (/.f64 (.f64 a (.f64 x (*.f64 x a))) x) a)
	19.3%	(/.f64 (.f64 (.f64 (.f64 x x) a) a) (.f64 a x))
	17.9%	(/.f64 (.f64 (.f64 x (.f64 a a)) x) (.f64 a x))
✓	29.6%	(/.f64 (.f64 (.f64 x a) (.f64 x a)) (.f64 a x))
	26.2%	(/.f64 (.f64 (.f64 a (.f64 a x)) x) (.f64 a x))
	52.5%	(/.f64 (.f64 x (.f64 x a)) x)
	63.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
	52.4%	(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x a))))
✓	63.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
	33.0%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 a x) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) a)))
	34.1%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 x x)) (/.f64 a (*.f64 a a))))
	39.5%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 a (.f64 x (*.f64 a x))) (/.f64 x a)))
	27.5%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 x (.f64 a x)))) (*.f64 a x)))
	63.5%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a)))
	44.8%	(/.f64 #s(literal 1 binary64) (.f64 x (/.f64 a (.f64 a (.f64 x (.f64 a x))))))
	4.2%	(-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 a x) a) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	22.8%	(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))
	4.2%	(+.f64 (*.f64 a x) #s(literal 1 binary64))
	64.0%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) a)
	64.0%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) x)
	52.4%	(.f64 (.f64 x (*.f64 x a)) (/.f64 #s(literal 1 binary64) x))
	16.8%	(.f64 (.f64 x x) (/.f64 (.f64 a a) (.f64 a x)))
	46.0%	(.f64 (.f64 x a) (.f64 (.f64 x a) (/.f64 (/.f64 #s(literal 1 binary64) x) a)))
	46.1%	(.f64 (.f64 x a) (.f64 (.f64 x a) (/.f64 (/.f64 #s(literal 1 binary64) a) x)))
✓	46.2%	(.f64 (.f64 x a) (.f64 (.f64 x a) (/.f64 #s(literal 1 binary64) (*.f64 x a))))
	63.4%	(.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)))))
✓	64.6%	(.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
	33.5%	(.f64 x (/.f64 (.f64 a (.f64 a x)) (.f64 a x)))
	59.4%	(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
	63.3%	(.f64 a (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
✓	64.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	20.7%	#s(literal 0 binary64)

Compiler

Compiled 1 545 to 554 computations (64.1% saved)

regimes123.0ms (1.4%)

Memory

-12.9MiB live, 181.7MiB allocated

Counts

69 → 1

Calls

Call 1

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

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

Calls

5 calls:

40.0ms	(*.f64 a x)
21.0ms	a
21.0ms	x
20.0ms	(exp.f64 (*.f64 a x))
17.0ms	(-.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)

regimes96.0ms (1.1%)

Memory

15.1MiB live, 173.0MiB allocated

Counts

66 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 a (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(/.f64 (.f64 x (.f64 x a)) x)
(fma.f64 (*.f64 a a) (/.f64 x a) #s(literal -2 binary64))
(.f64 (.f64 x (*.f64 x a)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 (.f64 a a) (.f64 x #s(literal 1/2 binary64))) x (.f64 a x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 x (/.f64 (.f64 a (.f64 a x)) (.f64 a x)))
(.f64 (.f64 x x) (/.f64 (.f64 a a) (.f64 a x)))
(/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x))
(/.f64 (.f64 a (.f64 (.f64 x x) a)) (.f64 a x))
(/.f64 (.f64 (.f64 a (.f64 a x)) x) (.f64 a x))
(/.f64 (.f64 (.f64 x a) (.f64 x a)) (.f64 a x))
(/.f64 (.f64 (.f64 x (.f64 a a)) x) (.f64 a x))
(/.f64 (.f64 (.f64 (.f64 x x) a) a) (.f64 a x))
(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
(/.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x)) (fma.f64 a x #s(literal 2 binary64)))
(fma.f64 (.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (.f64 x a)) #s(literal -2 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) a) (/.f64 x a) #s(literal -2 binary64))
(fma.f64 (fma.f64 x a #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))
(.f64 (.f64 a (.f64 x (.f64 a x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 x a) (.f64 (.f64 x a) (/.f64 #s(literal 1 binary64) (*.f64 x a))))
(-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 a x) a) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 x (*.f64 x a)) a) (/.f64 a x))
(/.f64 (/.f64 (.f64 a (.f64 x (*.f64 x a))) x) a)
(.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (.f64 x (.f64 a (fma.f64 x a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal -2 binary64))
(fma.f64 a (*.f64 (/.f64 x a) (/.f64 (fma.f64 x a #s(literal 2 binary64)) x)) #s(literal -2 binary64))
(fma.f64 (*.f64 (/.f64 x a) (/.f64 (fma.f64 a x #s(literal 2 binary64)) x)) a #s(literal -2 binary64))
(fma.f64 (*.f64 (/.f64 (fma.f64 x a #s(literal 2 binary64)) x) a) (/.f64 x a) #s(literal -2 binary64))
(.f64 (.f64 x a) (.f64 (.f64 x a) (/.f64 (/.f64 #s(literal 1 binary64) a) x)))
(.f64 (.f64 x a) (.f64 (.f64 x a) (/.f64 (/.f64 #s(literal 1 binary64) x) a)))
(-.f64 (fma.f64 (/.f64 (fma.f64 a x #s(literal 2 binary64)) x) (/.f64 (*.f64 a x) a) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (.f64 x (/.f64 a (.f64 a (.f64 x (.f64 a x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))))
(fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (fma.f64 a x #s(literal 2 binary64)) (/.f64 a x))) #s(literal -2 binary64))
(fma.f64 (.f64 x a) (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (fma.f64 x a #s(literal 2 binary64)) x)) #s(literal -2 binary64))
(-.f64 (fma.f64 (.f64 (fma.f64 x a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 a x) a) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 x (.f64 a x)))) (*.f64 a x)))
(-.f64 (fma.f64 (/.f64 (fma.f64 a x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 a (.f64 x (*.f64 a x))) (/.f64 x a)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 x x)) (/.f64 a (*.f64 a a))))
(.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 a x) (.f64 a (.f64 x (.f64 a x)))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 x (*.f64 a x)))))
(-.f64 (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 a x) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) a)))
(fma.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64))))) #s(literal -1 binary64))
(.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (.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)))))
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) x) a))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64))) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 a (.f64 a x)) (.f64 a (.f64 a x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 8 binary64)) (.f64 x (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 4 binary64)) (.f64 (.f64 a x) #s(literal 2 binary64))))) a) (/.f64 x a) #s(literal -2 binary64))
(-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 x a) (.f64 a (.f64 x (.f64 x a))) #s(literal 8 binary64)) (.f64 x (-.f64 (fma.f64 a (.f64 x (.f64 x a)) #s(literal 4 binary64)) (.f64 x (.f64 a #s(literal 2 binary64)))))) (/.f64 (.f64 a x) a) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64))) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64))

Outputs
(.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))

Calls

5 calls:

21.0ms	(*.f64 a x)
20.0ms	a
20.0ms	x
18.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
14.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
64.6%	1	`a`
64.6%	1	`x`
64.6%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
64.6%	1	`(exp.f64 (*.f64 a x))`
64.6%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes60.0ms (0.7%)

Memory

-8.9MiB live, 43.8MiB allocated

Counts

24 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

5 calls:

34.0ms	(*.f64 a x)
7.0ms	x
7.0ms	a
6.0ms	(exp.f64 (*.f64 a x))
5.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
64.1%	1	`a`
64.1%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
64.1%	1	`(exp.f64 (*.f64 a x))`
64.1%	1	`(*.f64 a x)`
64.1%	1	`x`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes25.0ms (0.3%)

Memory

-25.5MiB live, 12.8MiB 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:

19.0ms	x
1.0ms	a
1.0ms	(*.f64 a x)
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
20.7%	1	`a`
20.7%	1	`x`
20.7%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
20.7%	1	`(exp.f64 (*.f64 a x))`
20.7%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

simplify7.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	16	23

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness842.0ms (9.7%)

Memory

29.9MiB live, 499.0MiB allocated

Rules

17 360×	`accelerator-lowering-fma.f32`
17 360×	`accelerator-lowering-fma.f64`
9 428×	`accelerator-lowering-fma.f32`
9 428×	`accelerator-lowering-fma.f64`
8 560×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	85	46
2	654	46
0	8898	41
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
0	95	992
1	308	992
2	783	988
3	2436	988
4	6574	988
0	8168	890
0	6	13
1	27	13
2	149	13
0	1340	11

Stop Event

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

Compiler

Compiled 50 to 30 computations (40% saved)

preprocess211.0ms (2.4%)

Memory: -29.6MiB live, 172.0MiB allocated
Remove: (sort a x)
Compiler: Compiled 90 to 52 computations (42.2% 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

analyze21.0ms (0.2%)

sample589.0ms (6.8%)

preprocess67.0ms (0.8%)

explain98.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize21.0ms (0.2%)

series5.0ms (0.1%)

rewrite94.0ms (1.1%)

simplify313.0ms (3.6%)

eval23.0ms (0.3%)

prune38.0ms (0.4%)

simplify331.0ms (3.8%)

localize67.0ms (0.8%)

series8.0ms (0.1%)

rewrite360.0ms (4.2%)

simplify443.0ms (5.1%)

eval104.0ms (1.2%)

prune98.0ms (1.1%)

simplify348.0ms (4%)

localize196.0ms (2.3%)

series38.0ms (0.4%)

rewrite386.0ms (4.5%)

simplify713.0ms (8.3%)

eval252.0ms (2.9%)

prune232.0ms (2.7%)

simplify216.0ms (2.5%)

localize142.0ms (1.6%)

series13.0ms (0.2%)

rewrite426.0ms (4.9%)

simplify332.0ms (3.8%)

eval701.0ms (8.1%)

prune591.0ms (6.8%)

regimes123.0ms (1.4%)

regimes96.0ms (1.1%)

regimes60.0ms (0.7%)

regimes25.0ms (0.3%)

simplify7.0ms (0.1%)

soundness842.0ms (9.7%)

preprocess211.0ms (2.4%)

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