Metrics for expax (section 3.5)

analyze17.0ms (0.2%)

Memory

27.0MiB live, 27.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample541.0ms (7.9%)

Memory

4.6MiB live, 586.9MiB allocated

Samples

324.0ms	8 256×	0	valid
12.0ms	303×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-mult: 77.0ms (44.5% of total)

ival-expm1: 62.0ms (35.9% of total)

ival->: 23.0ms (13.3% of total)

exact: 7.0ms (4% of total)

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

Bogosity

preprocess17.0ms (0.3%)

Memory

16.6MiB live, 16.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a x)

explain70.0ms (1%)

Memory

-3.6MiB live, 72.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
126	-	-	`(-.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	126	0

Confusion

	Predicted +	Predicted -
+	126	0
-	0	130

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	126	0	0
-	0	1	129

Precision?

0.9921259842519685

Recall?

1.0

Freqs

test

number	freq
0	130
1	126

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 52 to 28 computations (46.2% saved)

Precisions

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

ival-mult: 5.0ms (39.1% of total)

ival-exp: 4.0ms (31.3% of total)

ival-expm1: 3.0ms (23.4% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.4%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB 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×	`lower-exp.f32`
4×	`exp-prod`
4×	`lower-pow.f64`
4×	`lower-+.f64`
4×	`lower-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.3%)

Memory

-19.3MiB live, 18.9MiB 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	55.4%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

13.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-exp: 3.0ms (41.1% of total)

ival-mult: 2.0ms (27.4% of total)

ival-expm1: 2.0ms (27.4% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

3 → 72

Calls

Call 1

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

rewrite99.0ms (1.5%)

Memory

-10.7MiB live, 77.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 111

Calls

Call 1

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

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

simplify352.0ms (5.1%)

Memory

-2.5MiB live, 228.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

simplify21.0ms (0.3%)

Memory

29.7MiB live, 29.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	269	2646
1	270	2646
0	270	2646

Stop Event

1×	saturated
1×	saturated

Counts

111 → 0

Calls

Call 1

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

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

eval16.0ms (0.2%)

Memory: -19.1MiB live, 21.8MiB allocated
Compiler: Compiled 962 to 32 computations (96.7% saved)

prune7.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	136	8	144
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	137	8	145

Accuracy

100.0%

Counts

145 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.8%	(-.f64 (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	20.3%	(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
▶	18.8%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	60.3%	(.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))
▶	59.5%	(.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))
	59.3%	(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
	64.5%	(*.f64 a x)
▶	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 180 to 108 computations (40% saved)

simplify585.0ms (8.5%)

Memory

-19.2MiB live, 534.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

18 004×	`lower-fma.f32`
17 992×	`lower-fma.f64`
4 046×	`lower-+.f64`
4 046×	`lower-+.f32`
4 044×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	159
0	45	155
1	102	153
2	278	153
3	1163	153
4	3698	153
5	6452	153
0	8099	153

Stop Event

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

Calls

Call 1

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

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

localize112.0ms (1.6%)

Memory

-27.9MiB live, 125.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(.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))))
✓	accuracy	99.3%	(.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	98.5%	(.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))
✓	accuracy	97.8%	(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)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	accuracy	99.5%	(-.f64 (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	97.4%	(fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))
✓	accuracy	95.5%	(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	99.5%	(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(expm1.f64 (*.f64 a x))

Samples

45.0ms	158×	1	exit
20.0ms	98×	0	valid

Compiler

Compiled 185 to 29 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 18.0ms (37% of total)

adjust: 11.0ms (22.6% of total)

ival-add: 8.0ms (16.4% of total)

const: 6.0ms (12.3% of total)

ival-sub: 3.0ms (6.2% of total)

ival-expm1: 2.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

13 → 276

Calls

Call 1

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

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

Calls

69 calls:

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

rewrite350.0ms (5.1%)

Memory

-7.8MiB live, 462.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 816×	`lower-fma.f32`
5 804×	`lower-fma.f64`
4 908×	`lower-*.f32`
4 896×	`lower-*.f64`
3 486×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	121
0	45	117
1	206	115
2	1676	115
0	8442	115

Stop Event

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

Counts

13 → 514

Calls

Call 1

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

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

simplify411.0ms (6%)

Memory

19.9MiB live, 531.0MiB allocated

Algorithm

1×	egg-herbie

Rules

18 712×	`lower-fma.f64`
18 712×	`lower-fma.f32`
5 676×	`lower-*.f64`
5 676×	`lower-*.f32`
3 192×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	313	2885
1	1056	2856
2	3238	2814
0	8183	2574

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 272

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

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

simplify120.0ms (1.7%)

Memory

22.0MiB live, 174.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1043	18482
1	1044	18482
0	1044	18482

Stop Event

1×	saturated
1×	saturated

Counts

514 → 0

Calls

Call 1

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

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

eval86.0ms (1.3%)

Memory: -9.3MiB live, 104.6MiB allocated
Compiler: Compiled 8 582 to 276 computations (96.8% saved)

prune13.0ms (0.2%)

Memory

28.7MiB live, 28.7MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	635	5	640
Fresh	2	1	3
Picked	0	5	5
Done	0	0	0
Total	637	11	648

Accuracy

100.0%

Counts

648 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	18.8%	(-.f64 (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	20.3%	(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	18.8%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶	63.6%	(.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a x)) a))
▶	18.1%	(.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a x))))
✓	59.5%	(.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))
▶	60.3%	(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
	59.1%	(.f64 a (fma.f64 a (.f64 x (.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))))) x))
▶	56.5%	(.f64 a (fma.f64 a (.f64 x (.f64 a (.f64 (.f64 a (.f64 x (*.f64 x x))) #s(literal 1/24 binary64)))) x))
▶	64.5%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 228 to 134 computations (41.2% saved)

simplify107.0ms (1.6%)

Memory

-4.4MiB live, 117.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 a (.f64 (.f64 a (.f64 x (*.f64 x x))) #s(literal 1/24 binary64)))
✓	cost-diff	(.f64 x (.f64 a (.f64 (.f64 a (.f64 x (.f64 x x))) #s(literal 1/24 binary64))))
✓	cost-diff	(fma.f64 a (.f64 x (.f64 a (.f64 (.f64 a (.f64 x (.f64 x x))) #s(literal 1/24 binary64)))) x)
✓	cost-diff	(.f64 a (fma.f64 a (.f64 x (.f64 a (.f64 (.f64 a (.f64 x (*.f64 x x))) #s(literal 1/24 binary64)))) x))
✓	cost-diff	(.f64 x (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	(.f64 x (.f64 x (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
✓	cost-diff	(fma.f64 a (.f64 x (.f64 x (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
✓	cost-diff	(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
✓	cost-diff	(*.f64 a x)
✓	cost-diff	(.f64 a (.f64 a x))
✓	cost-diff	(fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a x)) a)
✓	cost-diff	(.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a x)) a))
✓	cost-diff	(*.f64 a x)
✓	cost-diff	(.f64 a (.f64 a x))
✓	cost-diff	(.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a x)))
✓	cost-diff	(.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a x))))
✓	cost-diff	(*.f64 a x)

Rules

2 168×	`lower-*.f32`
2 136×	`lower-*.f64`
2 102×	`associate-r`
1 616×	`lower-fma.f32`
1 608×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	205
0	48	191
1	108	191
2	268	191
3	894	185
4	1202	185
5	1459	185
6	1703	185
7	1874	185
8	1930	185
9	1930	185
10	1930	183
11	3016	183
12	3018	181
13	3019	181
14	3019	181
15	3079	181
16	3079	181
17	3258	181
0	3258	179

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize99.0ms (1.4%)

Memory

-34.2MiB live, 125.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(.f64 a (fma.f64 a (.f64 x (.f64 a (.f64 (.f64 a (.f64 x (*.f64 x x))) #s(literal 1/24 binary64)))) x))
✓	accuracy	96.4%	(fma.f64 a (.f64 x (.f64 a (.f64 (.f64 a (.f64 x (.f64 x x))) #s(literal 1/24 binary64)))) x)
✓	accuracy	93.5%	(.f64 a (.f64 (.f64 a (.f64 x (*.f64 x x))) #s(literal 1/24 binary64)))
✓	accuracy	92.6%	(.f64 a (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.6%	(*.f64 a #s(literal 1/6 binary64))
✓	accuracy	98.1%	(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
✓	accuracy	93.3%	(fma.f64 a (.f64 x (.f64 x (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a x)) a)
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.8%	(.f64 a (.f64 a x))
✓	accuracy	95.9%	(.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a x)) a))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a x)))
✓	accuracy	99.8%	(.f64 a (.f64 a x))
✓	accuracy	91.9%	(.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a x))))
✓	accuracy	100.0%	(*.f64 a x)

Samples

56.0ms

256×

valid

Compiler

Compiled 218 to 30 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 29.0ms (71.7% of total)

const: 6.0ms (14.8% of total)

ival-add: 5.0ms (12.4% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.3%)

Memory

38.5MiB live, 38.5MiB allocated

Counts

14 → 324

Calls

Call 1

Inputs
#<alt (*.f64 a x)>
#<alt (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a x))))>
#<alt (.f64 a (.f64 a x))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a x)))>
#<alt (.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a x)) a))>
#<alt (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a x)) a)>
#<alt (fma.f64 a (.f64 x (.f64 x (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)>
#<alt (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))>
#<alt (*.f64 a #s(literal 1/6 binary64))>
#<alt (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))>
#<alt (.f64 a (.f64 x (*.f64 x x)))>
#<alt (.f64 a (.f64 (.f64 a (.f64 x (*.f64 x x))) #s(literal 1/24 binary64)))>
#<alt (fma.f64 a (.f64 x (.f64 a (.f64 (.f64 a (.f64 x (.f64 x x))) #s(literal 1/24 binary64)))) x)>
#<alt (.f64 a (fma.f64 a (.f64 x (.f64 a (.f64 (.f64 a (.f64 x (*.f64 x x))) #s(literal 1/24 binary64)))) x))>

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

Calls

81 calls:

Time	Variable		Expression
2.0ms	x	@	(* a (* a x))
1.0ms	x	@	(* x (* 1/2 (* a (* a x))))
1.0ms	a	@	(* a (* x (* x x)))
1.0ms	a	@	(+ (* a (* x (* a (* (* a (* x (* x x))) 1/24)))) x)
1.0ms	x	@	(+ (* a (* x (* a (* (* a (* x (* x x))) 1/24)))) x)

rewrite429.0ms (6.3%)

Memory

11.6MiB live, 544.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 926×	`lower-fma.f32`
10 918×	`lower-fma.f64`
6 696×	`lower-*.f32`
6 664×	`lower-*.f64`
3 174×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	131
0	48	123
1	155	123
2	948	119
0	8305	117

Stop Event

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

Counts

14 → 562

Calls

Call 1

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

Outputs
(*.f64 a x)
(*.f64 x a)
(.f64 x (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))))
(.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (.f64 a x))))
(.f64 (.f64 a (.f64 a x)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))) x)
(.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 a x)))
(.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 a (.f64 x x)))
(.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/2 binary64))
(.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 a a))
(.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) x) a)
(.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/2 binary64)))
(.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 a x))
(.f64 (.f64 x (.f64 x (.f64 a #s(literal 1/2 binary64)))) a)
(.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))) x)
(.f64 a (.f64 a x))
(.f64 x (.f64 a a))
(.f64 (.f64 a x) a)
(.f64 (.f64 a a) x)
(.f64 a (.f64 x (*.f64 a #s(literal 1/2 binary64))))
(.f64 (.f64 a x) (*.f64 a #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a x)))
(.f64 (.f64 a (*.f64 a x)) #s(literal 1/2 binary64))
(.f64 (.f64 a a) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 a a))
(.f64 (.f64 a #s(literal 1/2 binary64)) (*.f64 a x))
(.f64 (.f64 x (*.f64 a #s(literal 1/2 binary64))) a)
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a a)) x)
(.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)
(+.f64 (.f64 a x) (.f64 x (.f64 a (.f64 x (*.f64 a #s(literal 1/2 binary64))))))
(+.f64 (.f64 x (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64))))) (*.f64 a x))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 a (.f64 a x)) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a x))))) (.f64 a (-.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) x) x))) (/.f64 (.f64 x (.f64 a (.f64 a x))) (.f64 a (-.f64 (.f64 (.f64 x (*.f64 a #s(literal 1/2 binary64))) x) x))))
(fma.f64 a x (.f64 x (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64))))))
(fma.f64 x a (.f64 x (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64))))))
(fma.f64 x (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))) (.f64 a x))
(fma.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 a x))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(fma.f64 (.f64 a (.f64 a x)) (.f64 x #s(literal 1/2 binary64)) (.f64 a x))
(fma.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))) x (.f64 a x))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 a x)) (.f64 a x))
(fma.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 a (.f64 x x)) (.f64 a x))
(fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/2 binary64) (.f64 a x))
(fma.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 a a) (.f64 a x))
(fma.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) x) a (.f64 a x))
(fma.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/2 binary64)) (.f64 a x))
(fma.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 a x) (.f64 a x))
(fma.f64 (.f64 x (.f64 x (.f64 a #s(literal 1/2 binary64)))) a (.f64 a x))
(fma.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))) x (.f64 a x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 a (.f64 a x)) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a x)))) (.f64 (.f64 a x) (-.f64 (.f64 a x) (.f64 x (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (.f64 a x) (.f64 x (.f64 a (.f64 a x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (-.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) x) x)) (.f64 (.f64 a (fma.f64 (.f64 a x) (.f64 x #s(literal 1/2 binary64)) x)) (.f64 a (-.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64))))) (.f64 (.f64 a (.f64 a x)) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a x))))) (.f64 x (fma.f64 a (.f64 a a) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))) a) (.f64 x (-.f64 (.f64 (.f64 a (.f64 a x)) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a x)))) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64))))) (.f64 (.f64 a (.f64 a x)) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a x))))) (.f64 (fma.f64 a (.f64 a a) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))) a) (.f64 (-.f64 (.f64 (.f64 a (.f64 a x)) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a x)))) (*.f64 a a)) x)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (.f64 a x) (.f64 x (.f64 a (.f64 a x))))) (fma.f64 (.f64 x x) (.f64 (.f64 a (.f64 a x)) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a x)))) (.f64 (.f64 a x) (-.f64 (.f64 a x) (.f64 x (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))))))))
(/.f64 (.f64 (.f64 a (fma.f64 (.f64 a x) (.f64 x #s(literal 1/2 binary64)) x)) (.f64 a (-.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) x) x))) (.f64 a (-.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) x) x)))
(/.f64 (.f64 x (fma.f64 a (.f64 a a) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))) (fma.f64 a (-.f64 a (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64))))) (.f64 (.f64 a (.f64 a x)) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a x))))))
(/.f64 (.f64 x (fma.f64 a (.f64 a a) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))) (fma.f64 a a (.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))) (-.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))) a))))
(/.f64 (.f64 x (-.f64 (.f64 (.f64 a (.f64 a x)) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a x)))) (.f64 a a))) (-.f64 (.f64 a (.f64 x (*.f64 a #s(literal 1/2 binary64)))) a))
(/.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) x) (fma.f64 a (-.f64 a (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64))))) (.f64 (.f64 a (.f64 a x)) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a x))))))
(/.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) x) (fma.f64 a a (.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))) (-.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))) a))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 a (.f64 a x)) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a x)))) (.f64 a a)) x) (-.f64 (.f64 a (.f64 x (*.f64 a #s(literal 1/2 binary64)))) a))
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simplify371.0ms (5.4%)

Memory

10.3MiB live, 528.8MiB allocated

Algorithm

1×	egg-herbie

Rules

15 818×	`lower-fma.f64`
15 818×	`lower-fma.f32`
5 144×	`lower-*.f64`
5 144×	`lower-*.f32`
2 272×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	2804
1	642	2800
2	2099	2740
3	4538	2728
0	8431	2578

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 318

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

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

simplify210.0ms (3.1%)

Memory

-37.7MiB live, 262.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1283	26848
1	1285	26848
0	1285	26848

Stop Event

1×	saturated
1×	saturated

Counts

562 → 0

Calls

Call 1

Inputs
(*.f64 a x)
(*.f64 x a)
(.f64 x (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))))
(.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (.f64 a x))))
(.f64 (.f64 a (.f64 a x)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))) x)
(.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 a x)))
(.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 a (.f64 x x)))
(.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/2 binary64))
(.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 a a))
(.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) x) a)
(.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/2 binary64)))
(.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 a x))
(.f64 (.f64 x (.f64 x (.f64 a #s(literal 1/2 binary64)))) a)
(.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))) x)
(.f64 a (.f64 a x))
(.f64 x (.f64 a a))
(.f64 (.f64 a x) a)
(.f64 (.f64 a a) x)
(.f64 a (.f64 x (*.f64 a #s(literal 1/2 binary64))))
(.f64 (.f64 a x) (*.f64 a #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a x)))
(.f64 (.f64 a (*.f64 a x)) #s(literal 1/2 binary64))
(.f64 (.f64 a a) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 a a))
(.f64 (.f64 a #s(literal 1/2 binary64)) (*.f64 a x))
(.f64 (.f64 x (*.f64 a #s(literal 1/2 binary64))) a)
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a a)) x)
(.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)
(+.f64 (.f64 a x) (.f64 x (.f64 a (.f64 x (*.f64 a #s(literal 1/2 binary64))))))
(+.f64 (.f64 x (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64))))) (*.f64 a x))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 a (.f64 a x)) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a x))))) (.f64 a (-.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) x) x))) (/.f64 (.f64 x (.f64 a (.f64 a x))) (.f64 a (-.f64 (.f64 (.f64 x (*.f64 a #s(literal 1/2 binary64))) x) x))))
(fma.f64 a x (.f64 x (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64))))))
(fma.f64 x a (.f64 x (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64))))))
(fma.f64 x (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))) (.f64 a x))
(fma.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 a x))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(fma.f64 (.f64 a (.f64 a x)) (.f64 x #s(literal 1/2 binary64)) (.f64 a x))
(fma.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))) x (.f64 a x))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 a x)) (.f64 a x))
(fma.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 a (.f64 x x)) (.f64 a x))
(fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/2 binary64) (.f64 a x))
(fma.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 a a) (.f64 a x))
(fma.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) x) a (.f64 a x))
(fma.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/2 binary64)) (.f64 a x))
(fma.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 a x) (.f64 a x))
(fma.f64 (.f64 x (.f64 x (.f64 a #s(literal 1/2 binary64)))) a (.f64 a x))
(fma.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))) x (.f64 a x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 a (.f64 a x)) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a x)))) (.f64 (.f64 a x) (-.f64 (.f64 a x) (.f64 x (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (.f64 a x) (.f64 x (.f64 a (.f64 a x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (-.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) x) x)) (.f64 (.f64 a (fma.f64 (.f64 a x) (.f64 x #s(literal 1/2 binary64)) x)) (.f64 a (-.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64))))) (.f64 (.f64 a (.f64 a x)) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a x))))) (.f64 x (fma.f64 a (.f64 a a) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))) a) (.f64 x (-.f64 (.f64 (.f64 a (.f64 a x)) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a x)))) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64))))) (.f64 (.f64 a (.f64 a x)) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a x))))) (.f64 (fma.f64 a (.f64 a a) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))) a) (.f64 (-.f64 (.f64 (.f64 a (.f64 a x)) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a x)))) (*.f64 a a)) x)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (.f64 a x) (.f64 x (.f64 a (.f64 a x))))) (fma.f64 (.f64 x x) (.f64 (.f64 a (.f64 a x)) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a x)))) (.f64 (.f64 a x) (-.f64 (.f64 a x) (.f64 x (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))))))))
(/.f64 (.f64 (.f64 a (fma.f64 (.f64 a x) (.f64 x #s(literal 1/2 binary64)) x)) (.f64 a (-.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) x) x))) (.f64 a (-.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) x) x)))
(/.f64 (.f64 x (fma.f64 a (.f64 a a) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))) (fma.f64 a (-.f64 a (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64))))) (.f64 (.f64 a (.f64 a x)) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a x))))))
(/.f64 (.f64 x (fma.f64 a (.f64 a a) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))) (fma.f64 a a (.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))) (-.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))) a))))
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(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) (.f64 x x)) a) (-.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) (.f64 x x))) (fma.f64 (.f64 x (.f64 a (.f64 a (.f64 x (.f64 x x))))) (.f64 #s(literal 1/24 binary64) a) x))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) (.f64 x x)) a) (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 a (.f64 a (.f64 x (.f64 x x))))) (.f64 #s(literal 1/24 binary64) a)) (.f64 x (.f64 a (.f64 a x)))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) (.f64 x (.f64 x x)))) (fma.f64 a (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) a) (.f64 x (fma.f64 (.f64 x (.f64 a (.f64 a (.f64 x (.f64 x x))))) (*.f64 #s(literal 1/24 binary64) a) x))))

Outputs
(*.f64 a x)
(*.f64 x a)
(.f64 x (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))))
(.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (.f64 a x))))
(.f64 (.f64 a (.f64 a x)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))) x)
(.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 a x)))
(.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 a (.f64 x x)))
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(.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) (.f64 x x)) a) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (.f64 a (.f64 a x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))) (neg.f64 x))))
(.f64 (/.f64 (.f64 a (fma.f64 (.f64 (.f64 a x) (.f64 x (.f64 a (.f64 a x)))) (.f64 (.f64 (.f64 a (.f64 a x)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) (.f64 x (.f64 x x)))) (+.f64 (pow.f64 (.f64 (.f64 x (.f64 a (.f64 a (.f64 x (.f64 x x))))) (.f64 #s(literal 1/24 binary64) a)) #s(literal 6 binary64)) (.f64 (.f64 x (+.f64 x (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x (.f64 x x))))) #s(literal -1/24 binary64)))) (.f64 (.f64 x (+.f64 x (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x (.f64 x x))))) #s(literal -1/24 binary64)))) (.f64 x (+.f64 x (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x (.f64 x x))))) #s(literal -1/24 binary64)))))))) (+.f64 (pow.f64 (.f64 (.f64 x (.f64 a (.f64 a (.f64 x (.f64 x x))))) (.f64 #s(literal 1/24 binary64) a)) #s(literal 4 binary64)) (.f64 (.f64 x (+.f64 x (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x (.f64 x x))))) #s(literal -1/24 binary64)))) (-.f64 (.f64 x (+.f64 x (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x (.f64 x x))))) #s(literal -1/24 binary64)))) (.f64 (.f64 x (.f64 a (.f64 a x))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x)))))))))))
(.f64 (/.f64 (.f64 a (fma.f64 (.f64 (.f64 a x) (.f64 x (.f64 a (.f64 a x)))) (.f64 (.f64 (.f64 a (.f64 a x)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) (.f64 x (.f64 x x)))) (-.f64 (pow.f64 (.f64 (.f64 x (.f64 a (.f64 a (.f64 x (.f64 x x))))) (.f64 #s(literal 1/24 binary64) a)) #s(literal 4 binary64)) (.f64 (.f64 x (+.f64 x (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x (.f64 x x))))) #s(literal -1/24 binary64)))) (.f64 x (+.f64 x (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x (.f64 x x))))) #s(literal -1/24 binary64))))))) (-.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) (.f64 x (+.f64 x (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x (*.f64 x x))))) #s(literal -1/24 binary64))))))
(.f64 (/.f64 (.f64 a (-.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) (.f64 x x))) (fma.f64 (.f64 x (.f64 a (.f64 a (.f64 x (.f64 x x))))) (.f64 #s(literal 1/24 binary64) a) x))
(.f64 (/.f64 (.f64 a (-.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 a (.f64 a (.f64 x (.f64 x x))))) (.f64 #s(literal 1/24 binary64) a)) (.f64 x (.f64 a (.f64 a x)))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) (.f64 x (.f64 x x)))) (fma.f64 a (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) a) (.f64 x (fma.f64 (.f64 x (.f64 a (.f64 a (.f64 x (.f64 x x))))) (*.f64 #s(literal 1/24 binary64) a) x))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 a x) (.f64 x (.f64 a (.f64 a x)))) (.f64 (.f64 (.f64 a (.f64 a x)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) (.f64 x (.f64 x x))) a) (+.f64 (pow.f64 (.f64 (.f64 x (.f64 a (.f64 a (.f64 x (.f64 x x))))) (.f64 #s(literal 1/24 binary64) a)) #s(literal 6 binary64)) (.f64 (.f64 x (+.f64 x (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x (.f64 x x))))) #s(literal -1/24 binary64)))) (.f64 (.f64 x (+.f64 x (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x (.f64 x x))))) #s(literal -1/24 binary64)))) (.f64 x (+.f64 x (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x (.f64 x x))))) #s(literal -1/24 binary64)))))))) (+.f64 (pow.f64 (.f64 (.f64 x (.f64 a (.f64 a (.f64 x (.f64 x x))))) (.f64 #s(literal 1/24 binary64) a)) #s(literal 4 binary64)) (.f64 (.f64 x (+.f64 x (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x (.f64 x x))))) #s(literal -1/24 binary64)))) (-.f64 (.f64 x (+.f64 x (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x (.f64 x x))))) #s(literal -1/24 binary64)))) (.f64 (.f64 x (.f64 a (.f64 a x))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x)))))))))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 a x) (.f64 x (.f64 a (.f64 a x)))) (.f64 (.f64 (.f64 a (.f64 a x)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) (.f64 x (.f64 x x))) a) (-.f64 (pow.f64 (.f64 (.f64 x (.f64 a (.f64 a (.f64 x (.f64 x x))))) (.f64 #s(literal 1/24 binary64) a)) #s(literal 4 binary64)) (.f64 (.f64 x (+.f64 x (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x (.f64 x x))))) #s(literal -1/24 binary64)))) (.f64 x (+.f64 x (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x (.f64 x x))))) #s(literal -1/24 binary64))))))) (-.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) (.f64 x (+.f64 x (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x (*.f64 x x))))) #s(literal -1/24 binary64))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) (.f64 x x)) a) (-.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) (.f64 x x))) (fma.f64 (.f64 x (.f64 a (.f64 a (.f64 x (.f64 x x))))) (.f64 #s(literal 1/24 binary64) a) x))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) (.f64 x x)) a) (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 a (.f64 a (.f64 x (.f64 x x))))) (.f64 #s(literal 1/24 binary64) a)) (.f64 x (.f64 a (.f64 a x)))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) (.f64 x (.f64 x x)))) (fma.f64 a (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 a (.f64 a (.f64 x (.f64 x x)))) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) a) (.f64 x (fma.f64 (.f64 x (.f64 a (.f64 a (.f64 x (.f64 x x))))) (*.f64 #s(literal 1/24 binary64) a) x))))

eval115.0ms (1.7%)

Memory: 5.9MiB live, 156.2MiB allocated
Compiler: Compiled 9 482 to 117 computations (98.8% saved)

prune11.0ms (0.2%)

Memory

26.6MiB live, 26.6MiB allocated

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	776	4	780
Fresh	0	1	1
Picked	1	4	5
Done	0	5	5
Total	777	14	791

Accuracy

100.0%

Counts

791 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	18.8%	(-.f64 (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	20.3%	(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	18.8%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶	18.6%	(.f64 (.f64 a a) (.f64 (.f64 x (.f64 x x)) (.f64 a #s(literal 1/6 binary64))))
▶	18.6%	(.f64 (.f64 a a) (.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
✓	63.6%	(.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a x)) a))
✓	18.1%	(.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a x))))
▶	52.9%	(.f64 a (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 (*.f64 a a) #s(literal 1/24 binary64)))) x))
✓	59.5%	(.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))
✓	60.3%	(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
▶	59.1%	(.f64 a (fma.f64 a (.f64 x (.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))))) x))
▶	17.5%	(.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))))
✓	64.5%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 283 to 167 computations (41% saved)

simplify172.0ms (2.5%)

Memory

-6.7MiB live, 153.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 (.f64 a a) #s(literal 1/24 binary64))))
✓	cost-diff	(fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 (.f64 a a) #s(literal 1/24 binary64)))) x)
✓	cost-diff	(.f64 a (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 (*.f64 a a) #s(literal 1/24 binary64)))) x))
✓	cost-diff	(*.f64 a a)
✓	cost-diff	(.f64 a (.f64 a a))
✓	cost-diff	(.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (*.f64 x x)) x)))
✓	cost-diff	(.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	(*.f64 a a)
✓	cost-diff	(.f64 (.f64 a a) (.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(.f64 (.f64 x (.f64 x x)) (.f64 a #s(literal 1/6 binary64)))
✓	cost-diff	(*.f64 a a)
✓	cost-diff	(.f64 (.f64 a a) (.f64 (.f64 x (.f64 x x)) (.f64 a #s(literal 1/6 binary64))))
✓	cost-diff	(.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))))
✓	cost-diff	(.f64 x (.f64 a (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64)))))
✓	cost-diff	(fma.f64 a (.f64 x (.f64 a (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))))) x)
✓	cost-diff	(.f64 a (fma.f64 a (.f64 x (.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))))) x))

Rules

2 954×	`associate-r`
2 890×	`lower-fma.f32`
2 882×	`lower-fma.f64`
2 468×	`lower-*.f32`
2 422×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	310
0	63	272
1	154	256
2	541	252
3	1700	245
4	2585	242
5	3186	242
6	4853	242
7	6199	242
8	6247	242
9	6247	242
10	6877	242
11	7202	242
12	7264	242
13	7264	242
14	7264	242
0	8410	240

Stop Event

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

Calls

Call 1

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

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

localize194.0ms (2.8%)

Memory

-28.9MiB live, 212.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 a a) #s(literal 1/24 binary64))
✓	accuracy	98.9%	(fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 (.f64 a a) #s(literal 1/24 binary64)))) x)
✓	accuracy	98.5%	(.f64 a (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 (*.f64 a a) #s(literal 1/24 binary64)))) x))
✓	accuracy	77.2%	(.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 (.f64 a a) #s(literal 1/24 binary64))))
✓	accuracy	99.9%	(.f64 (.f64 x (*.f64 x x)) x)
✓	accuracy	99.8%	(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))
✓	accuracy	96.9%	(.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))))
✓	accuracy	77.1%	(.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (*.f64 x x)) x)))
✓	accuracy	99.9%	(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	98.6%	(.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	82.4%	(.f64 (.f64 a a) (.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(*.f64 a #s(literal 1/6 binary64))
✓	accuracy	92.6%	(.f64 (.f64 x (.f64 x x)) (.f64 a #s(literal 1/6 binary64)))
✓	accuracy	87.0%	(.f64 (.f64 a a) (.f64 (.f64 x (.f64 x x)) (.f64 a #s(literal 1/6 binary64))))
✓	accuracy	98.5%	(.f64 a (fma.f64 a (.f64 x (.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))))) x))
✓	accuracy	98.1%	(.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64)))
✓	accuracy	96.0%	(fma.f64 a (.f64 x (.f64 a (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))))) x)
✓	accuracy	92.5%	(.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))))

Samples

96.0ms

256×

valid

Compiler

Compiled 325 to 38 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 63.0ms (82.8% of total)

ival-add: 6.0ms (7.9% of total)

const: 6.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.5%)

Memory

16.8MiB live, 52.6MiB allocated

Counts

20 → 408

Calls

Call 1

Inputs
#<alt (.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))))>
#<alt (fma.f64 a (.f64 x (.f64 a (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))))) x)>
#<alt (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64)))>
#<alt (.f64 a (fma.f64 a (.f64 x (.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))))) x))>
#<alt (.f64 (.f64 a a) (.f64 (.f64 x (.f64 x x)) (.f64 a #s(literal 1/6 binary64))))>
#<alt (.f64 (.f64 x (.f64 x x)) (.f64 a #s(literal 1/6 binary64)))>
#<alt (*.f64 a #s(literal 1/6 binary64))>
#<alt (.f64 x (.f64 x x))>
#<alt (.f64 (.f64 a a) (.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))>
#<alt (.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))>
#<alt (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (*.f64 x x)) x)))>
#<alt (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))>
#<alt (.f64 (.f64 x (*.f64 x x)) x)>
#<alt (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 (.f64 a a) #s(literal 1/24 binary64))))>
#<alt (.f64 a (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 (*.f64 a a) #s(literal 1/24 binary64)))) x))>
#<alt (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 (.f64 a a) #s(literal 1/24 binary64)))) x)>
#<alt (.f64 (.f64 a a) #s(literal 1/24 binary64))>

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

Calls

102 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(+ (* a (* x (* a (* (* x x) (+ (* (* a 1/24) x) 1/6))))) x)
3.0ms	x	@	inf	(* a (* (* a (* a a)) (* 1/24 (* (* x (* x x)) x))))
1.0ms	x	@	0	(* a (* (* a (* a a)) (* 1/24 (* (* x (* x x)) x))))
1.0ms	a	@	-inf	(* a (* (* x x) (+ (* (* a 1/24) x) 1/6)))
1.0ms	a	@	0	(* a (* (* x x) (+ (* (* a 1/24) x) 1/6)))

rewrite455.0ms (6.7%)

Memory

2.0MiB live, 713.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 294×	`lower-fma.f32`
9 286×	`lower-fma.f64`
6 216×	`lower-*.f32`
6 170×	`lower-*.f64`
3 604×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	221
0	63	191
1	205	175
2	1268	169
0	8248	169

Stop Event

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

Counts

20 → 990

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a (.f64 x #s(literal 1/24 binary64)))))
(+.f64 (.f64 x (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) a))
(+.f64 (.f64 a (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))))) (.f64 a (.f64 x (.f64 x #s(literal 1/6 binary64)))))
(+.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 a (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))))))
(+.f64 (.f64 (.f64 a (.f64 x x)) (.f64 a (.f64 x #s(literal 1/24 binary64)))) (.f64 x (.f64 a (.f64 x #s(literal 1/6 binary64)))))
(+.f64 (.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) a) (.f64 x (.f64 a (.f64 x #s(literal 1/6 binary64)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (.f64 a (.f64 x x))))
(+.f64 (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (.f64 a (.f64 x x))) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))))
(+.f64 (.f64 (.f64 a x) (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 a x) (.f64 x (.f64 a (.f64 x #s(literal 1/24 binary64))))))
(+.f64 (.f64 (.f64 a x) (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 a x) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) x)))
(+.f64 (.f64 (.f64 a x) (.f64 x (.f64 a (.f64 x #s(literal 1/24 binary64))))) (.f64 (.f64 a x) (.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 a x) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) x)) (.f64 (.f64 a x) (.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 a x)) (.f64 (.f64 x (.f64 a (.f64 x #s(literal 1/24 binary64)))) (.f64 a x)))
(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 a x)) (.f64 (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) x) (.f64 a x)))
(+.f64 (.f64 (.f64 x (.f64 a (.f64 x #s(literal 1/24 binary64)))) (.f64 a x)) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 a x)))
(+.f64 (.f64 (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) x) (.f64 a x)) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 a x)))
(fma.f64 a (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) (.f64 a (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(fma.f64 a (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 a (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))))))
(fma.f64 x (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 a (.f64 x x)) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 x (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))) a))
(fma.f64 (.f64 x x) (.f64 a #s(literal 1/6 binary64)) (.f64 (.f64 a (.f64 x x)) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (.f64 x x) (.f64 a #s(literal 1/6 binary64)) (.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))) a))
(fma.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x)) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (.f64 a (*.f64 x x))))
(fma.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 x x) (.f64 (.f64 a (.f64 x x)) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 x x) (.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))) a))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 a x) (.f64 (.f64 x (.f64 a (.f64 x #s(literal 1/24 binary64)))) (*.f64 a x)))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 a x) (.f64 (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) x) (*.f64 a x)))
(fma.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (.f64 a (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x))))
(fma.f64 (.f64 a x) (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 x (.f64 a (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 (.f64 a x) (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 (.f64 a (*.f64 x #s(literal 1/24 binary64))) x)))
(fma.f64 (.f64 a x) (.f64 x (.f64 a (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 a x) (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 a x) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) x) (.f64 (.f64 a x) (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) a (.f64 x (.f64 a (*.f64 x #s(literal 1/6 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) a (.f64 (.f64 a (.f64 x x)) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) a (.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))) a))
(fma.f64 (.f64 a (.f64 x x)) #s(literal 1/6 binary64) (.f64 (.f64 a (.f64 x x)) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (.f64 a (.f64 x x)) #s(literal 1/6 binary64) (.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))) a))
(fma.f64 (.f64 a (.f64 x x)) (.f64 a (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 a (*.f64 x #s(literal 1/6 binary64)))))
(fma.f64 (.f64 x (.f64 a (.f64 x #s(literal 1/24 binary64)))) (.f64 a x) (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 a x)))
(fma.f64 (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) x) (.f64 a x) (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 a x)))
(/.f64 (.f64 a (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 a #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 x x) (.f64 (*.f64 a a) #s(literal 1/576 binary64)) #s(literal -1/36 binary64)))))
(/.f64 (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 a #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))
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(/.f64 (neg.f64 (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal 1/576 binary64)) #s(literal -1/36 binary64)))) (fma.f64 (*.f64 a x) #s(literal -1/24 binary64) #s(literal 1/6 binary64)))
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(.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) #s(literal 1/576 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (*.f64 a #s(literal 1/24 binary64)))))))))
(.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) x)
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) #s(literal 1/576 binary64))) (neg.f64 (.f64 x x))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) #s(literal 1/576 binary64))) (neg.f64 (.f64 x x)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (*.f64 a #s(literal 1/24 binary64))))) x))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (+.f64 (pow.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64)))))) #s(literal 6 binary64)) (.f64 (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64)))))))) (.f64 (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64)))))))) (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64)))))))))))) (+.f64 (pow.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64)))))) #s(literal 4 binary64)) (.f64 (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64)))))))) (-.f64 (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64)))))))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (*.f64 a a) #s(literal 1/576 binary64))))))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (-.f64 (pow.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64)))))) #s(literal 4 binary64)) (.f64 (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64)))))))) (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64))))))))))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) #s(literal 1/576 binary64)))) (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64))))))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) #s(literal 1/576 binary64))) (neg.f64 (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) #s(literal 1/576 binary64))))) (neg.f64 (.f64 x (.f64 x x))))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) #s(literal 1/576 binary64))) (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 x x))))
(.f64 a (.f64 a #s(literal 1/24 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 a a))
(.f64 (.f64 a #s(literal 1/24 binary64)) a)
(.f64 (.f64 a a) #s(literal 1/24 binary64))

simplify647.0ms (9.4%)

Memory

42.8MiB live, 551.1MiB allocated

Algorithm

1×	egg-herbie

Rules

17 072×	`lower-fma.f64`
17 072×	`lower-fma.f32`
6 088×	`lower-*.f64`
6 088×	`lower-*.f32`
2 460×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	236	3996
1	813	3948
2	2523	3876
3	4927	3848
0	8393	3662

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 404

Calls

Call 1

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

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

simplify314.0ms (4.6%)

Memory

-0.4MiB live, 509.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1980	41498
1	1982	41498
0	1982	41498

Stop Event

1×	saturated
1×	saturated

Counts

990 → 0

Calls

Call 1

Inputs
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(+.f64 (.f64 a (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))))) (.f64 a (.f64 x (.f64 x #s(literal 1/6 binary64)))))
(+.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 a (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))))))
(+.f64 (.f64 (.f64 a (.f64 x x)) (.f64 a (.f64 x #s(literal 1/24 binary64)))) (.f64 x (.f64 a (.f64 x #s(literal 1/6 binary64)))))
(+.f64 (.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) a) (.f64 x (.f64 a (.f64 x #s(literal 1/6 binary64)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (.f64 a (.f64 x x))))
(+.f64 (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (.f64 a (.f64 x x))) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))))
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(+.f64 (.f64 (.f64 a x) (.f64 x (.f64 a (.f64 x #s(literal 1/24 binary64))))) (.f64 (.f64 a x) (.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 a x) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) x)) (.f64 (.f64 a x) (.f64 x #s(literal 1/6 binary64))))
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(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 a x)) (.f64 (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) x) (.f64 a x)))
(+.f64 (.f64 (.f64 x (.f64 a (.f64 x #s(literal 1/24 binary64)))) (.f64 a x)) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 a x)))
(+.f64 (.f64 (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) x) (.f64 a x)) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 a x)))
(fma.f64 a (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) (.f64 a (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(fma.f64 a (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 a (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))))))
(fma.f64 x (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 a (.f64 x x)) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 x (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))) a))
(fma.f64 (.f64 x x) (.f64 a #s(literal 1/6 binary64)) (.f64 (.f64 a (.f64 x x)) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (.f64 x x) (.f64 a #s(literal 1/6 binary64)) (.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))) a))
(fma.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x)) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (.f64 a (*.f64 x x))))
(fma.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 x x) (.f64 (.f64 a (.f64 x x)) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 x x) (.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))) a))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 a x) (.f64 (.f64 x (.f64 a (.f64 x #s(literal 1/24 binary64)))) (*.f64 a x)))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 a x) (.f64 (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) x) (*.f64 a x)))
(fma.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (.f64 a (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x))))
(fma.f64 (.f64 a x) (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 x (.f64 a (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 (.f64 a x) (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 (.f64 a (*.f64 x #s(literal 1/24 binary64))) x)))
(fma.f64 (.f64 a x) (.f64 x (.f64 a (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 a x) (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 a x) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) x) (.f64 (.f64 a x) (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) a (.f64 x (.f64 a (*.f64 x #s(literal 1/6 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) a (.f64 (.f64 a (.f64 x x)) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) a (.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))) a))
(fma.f64 (.f64 a (.f64 x x)) #s(literal 1/6 binary64) (.f64 (.f64 a (.f64 x x)) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (.f64 a (.f64 x x)) #s(literal 1/6 binary64) (.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))) a))
(fma.f64 (.f64 a (.f64 x x)) (.f64 a (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 a (*.f64 x #s(literal 1/6 binary64)))))
(fma.f64 (.f64 x (.f64 a (.f64 x #s(literal 1/24 binary64)))) (.f64 a x) (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 a x)))
(fma.f64 (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) x) (.f64 a x) (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 a x)))
(/.f64 (.f64 a (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 x x) (.f64 (*.f64 a a) #s(literal 1/576 binary64)) #s(literal -1/36 binary64)))))
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(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) #s(literal 1/576 binary64))) (neg.f64 (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) #s(literal 1/576 binary64))))) (neg.f64 (.f64 x (.f64 x x))))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) #s(literal 1/576 binary64))) (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 x x))))
(.f64 a (.f64 a #s(literal 1/24 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 a a))
(.f64 (.f64 a #s(literal 1/24 binary64)) a)
(.f64 (.f64 a a) #s(literal 1/24 binary64))

Outputs
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(+.f64 (.f64 x (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) a))
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(fma.f64 a (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) (.f64 a (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
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(fma.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) a (.f64 x (.f64 a (*.f64 x #s(literal 1/6 binary64)))))
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(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (-.f64 (pow.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64)))))) #s(literal 4 binary64)) (.f64 (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64)))))))) (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64))))))))))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) #s(literal 1/576 binary64)))) (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64))))))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) #s(literal 1/576 binary64))) (neg.f64 (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/24 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) #s(literal 1/576 binary64))))) (neg.f64 (.f64 x (.f64 x x))))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) #s(literal 1/576 binary64))) (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 x x))))
(.f64 a (.f64 a #s(literal 1/24 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 a a))
(.f64 (.f64 a #s(literal 1/24 binary64)) a)
(.f64 (.f64 a a) #s(literal 1/24 binary64))

eval106.0ms (1.6%)

Memory: 7.5MiB live, 167.7MiB allocated
Compiler: Compiled 13 894 to 154 computations (98.9% saved)

prune18.0ms (0.3%)

Memory

-3.9MiB live, 31.7MiB allocated

Pruning

14 alts after pruning (1 fresh and 13 done)

	Pruned	Kept	Total
New	855	1	856
Fresh	0	0	0
Picked	1	4	5
Done	0	9	9
Total	856	14	870

Accuracy

100.0%

Counts

870 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	18.8%	(-.f64 (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	20.3%	(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	18.8%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	18.6%	(.f64 (.f64 a a) (.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
	18.8%	(.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 a (.f64 #s(literal 1/6 binary64) x))))
✓	63.6%	(.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a x)) a))
✓	18.1%	(.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a x))))
✓	52.9%	(.f64 a (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 (*.f64 a a) #s(literal 1/24 binary64)))) x))
✓	59.5%	(.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))
✓	60.3%	(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
✓	59.1%	(.f64 a (fma.f64 a (.f64 x (.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))))) x))
✓	17.5%	(.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))))
✓	64.5%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 420 to 188 computations (55.2% saved)

regimes32.0ms (0.5%)

Memory

-25.5MiB live, 61.3MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	a
7.0ms	(*.f64 a x)
6.0ms	x
5.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
5.0ms	(exp.f64 (*.f64 a x))

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)

regimes26.0ms (0.4%)

Memory

18.4MiB live, 57.5MiB allocated

Counts

17 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

5 calls:

5.0ms	x
5.0ms	a
5.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
5.0ms	(*.f64 a x)
4.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
64.5%	1	`a`
64.5%	1	`x`
64.5%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
64.5%	1	`(exp.f64 (*.f64 a x))`
64.5%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes8.0ms (0.1%)

Memory

-23.6MiB live, 15.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Calls

5 calls:

3.0ms	a
1.0ms	x
1.0ms	(*.f64 a x)
1.0ms	(exp.f64 (*.f64 a x))
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
18.8%	1	`a`
18.8%	1	`x`
18.8%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
18.8%	1	`(exp.f64 (*.f64 a x))`
18.8%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

simplify5.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
4×	`unsub-neg_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	12	10
2	16	10
3	19	10
4	22	10
5	25	10

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness574.0ms (8.4%)

Memory

4.6MiB live, 157.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	fuel
1×	iter limit
1×	saturated

Compiler

Compiled 28 to 18 computations (35.7% saved)

preprocess32.0ms (0.5%)

Memory: 30.3MiB live, 68.8MiB allocated
Remove: (sort a x)
Compiler: Compiled 76 to 50 computations (34.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

analyze17.0ms (0.2%)

sample541.0ms (7.9%)

preprocess17.0ms (0.3%)

explain70.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize20.0ms (0.3%)

series4.0ms (0.1%)

rewrite99.0ms (1.5%)

simplify352.0ms (5.1%)

simplify21.0ms (0.3%)

eval16.0ms (0.2%)

prune7.0ms (0.1%)

simplify585.0ms (8.5%)

localize112.0ms (1.6%)

series17.0ms (0.2%)

rewrite350.0ms (5.1%)

simplify411.0ms (6%)

simplify120.0ms (1.7%)

eval86.0ms (1.3%)

prune13.0ms (0.2%)

simplify107.0ms (1.6%)

localize99.0ms (1.4%)

series23.0ms (0.3%)

rewrite429.0ms (6.3%)

simplify371.0ms (5.4%)

simplify210.0ms (3.1%)

eval115.0ms (1.7%)

prune11.0ms (0.2%)

simplify172.0ms (2.5%)

localize194.0ms (2.8%)

series32.0ms (0.5%)

rewrite455.0ms (6.7%)

simplify647.0ms (9.4%)

simplify314.0ms (4.6%)

eval106.0ms (1.6%)

prune18.0ms (0.3%)

regimes32.0ms (0.5%)

regimes26.0ms (0.4%)

regimes8.0ms (0.1%)

simplify5.0ms (0.1%)

soundness574.0ms (8.4%)

preprocess32.0ms (0.5%)

end0.0ms (0%)

Profiling

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