Metrics for expax (section 3.5)

analyze19.0ms (0.2%)

Memory

-8.6MiB live, 28.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample599.0ms (7.2%)

Memory

25.8MiB live, 975.0MiB allocated

Samples

342.0ms	8 256×	0	valid
32.0ms	303×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-expm1: 81.0ms (45.1% of total)

ival-mult: 68.0ms (37.8% of total)

ival->: 20.0ms (11.1% of total)

exact: 7.0ms (3.9% of total)

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

Bogosity

preprocess36.0ms (0.4%)

Memory

-10.6MiB live, 26.8MiB 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)

explain87.0ms (1.1%)

Memory

3.4MiB live, 124.6MiB 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

29.0ms

512×

valid

Compiler

Compiled 52 to 28 computations (46.2% saved)

Precisions

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

ival-exp: 4.0ms (35.8% of total)

ival-mult: 4.0ms (35.8% of total)

ival-expm1: 3.0ms (26.8% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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

6.9MiB live, 6.9MiB 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)

localize32.0ms (0.4%)

Memory

-16.9MiB live, 21.6MiB 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

25.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 15.0ms (78.6% of total)

ival-exp: 2.0ms (10.5% of total)

ival-expm1: 2.0ms (10.5% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

4.4MiB live, 4.4MiB 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)

rewrite111.0ms (1.3%)

Memory

27.1MiB live, 105.8MiB 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)

simplify309.0ms (3.7%)

Memory

-31.4MiB live, 326.6MiB 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)

eval21.0ms (0.2%)

Memory: 20.4MiB live, 58.7MiB allocated
Compiler: Compiled 3 186 to 324 computations (89.8% saved)

prune23.0ms (0.3%)

Memory

-15.1MiB live, 64.2MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

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

Accuracy

100.0%

Counts

184 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
	99.7%	(/.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))))))
▶	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 254 to 158 computations (37.8% saved)

simplify412.0ms (5%)

Memory

9.3MiB live, 679.9MiB 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)

localize96.0ms (1.2%)

Memory

13.7MiB live, 166.9MiB 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

41.0ms	158×	1	exit
24.0ms	98×	0	valid

Compiler

Compiled 185 to 29 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 18.0ms (39.1% of total)

adjust: 9.0ms (19.5% of total)

ival-add: 7.0ms (15.2% of total)

const: 6.0ms (13% of total)

ival-sub: 5.0ms (10.9% of total)

ival-expm1: 2.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

-4.3MiB live, 33.9MiB 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)

rewrite361.0ms (4.3%)

Memory

32.5MiB live, 472.4MiB 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)))))))
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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))
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simplify411.0ms (5%)

Memory

-12.0MiB live, 583.4MiB 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)
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(* 1/24 (* (pow a 3) (pow x 4)))
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(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 a (/.f64 (.f64 a (.f64 a #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64)))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (fma.f64 a (.f64 a (.f64 a #s(literal -1/6 binary64))) (/.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) x)) x)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) (/.f64 a x)) x)) x)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/6 (* a x))))
(.f64 x (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) (.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) (.f64 x #s(literal 1/2 binary64)))
(* 1/24 (* (pow a 2) (pow x 3)))
(.f64 a (.f64 (.f64 a (.f64 x (*.f64 x x))) #s(literal 1/24 binary64)))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 a (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))) x (/.f64 #s(literal 1/2 binary64) x)))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 a (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))) x (/.f64 #s(literal 1/2 binary64) x)))
(* 1/24 (* (pow a 2) (pow x 3)))
(.f64 a (.f64 (.f64 a (.f64 x (*.f64 x x))) #s(literal 1/24 binary64)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(-.f64 (.f64 a (.f64 (.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)))

eval209.0ms (2.5%)

Memory: 7.0MiB live, 157.2MiB allocated
Compiler: Compiled 28 618 to 2 384 computations (91.7% saved)

prune207.0ms (2.5%)

Memory

-11.7MiB live, 155.8MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	940	22	962
Fresh	5	0	5
Picked	4	1	5
Done	0	0	0
Total	949	23	972

Accuracy

100.0%

Counts

972 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.9%	(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))) (.f64 (.f64 a 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))) a)))
	64.1%	(fma.f64 x a (.f64 (.f64 a 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))) a)))
	19.4%	(/.f64 (-.f64 (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (fma.f64 a x #s(literal 2 binary64))) (fma.f64 a x #s(literal 2 binary64))) (*.f64 (fma.f64 a x #s(literal 2 binary64)) (fma.f64 a x #s(literal 2 binary64))))
	19.4%	(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal 1 binary64))))))
	64.0%	(/.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x)) (fma.f64 a x #s(literal 2 binary64)))
	63.5%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x))))
▶	19.2%	(-.f64 (fma.f64 a (fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	19.2%	(-.f64 (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x))) #s(literal 1 binary64))
	19.8%	(-.f64 (/.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
	19.2%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (.f64 a x)) (fma.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x))) #s(literal 1 binary64)))) #s(literal 1 binary64))
	18.8%	(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal -1 binary64)))
	20.3%	(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
	64.0%	(.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))))
	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))))
▶	64.5%	(*.f64 x a)
	64.1%	(.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x))
	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))
	31.2%	(expm1.f64 (/.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	18.8%	#s(literal 0 binary64)

Compiler

Compiled 876 to 432 computations (50.7% saved)

simplify370.0ms (4.5%)

Memory

14.5MiB live, 479.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x)))
✓	cost-diff	0	(-.f64 (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x))) #s(literal 1 binary64))
✓	cost-diff	448	(-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x))
✓	cost-diff	0	(.f64 a (.f64 (.f64 a (.f64 x (*.f64 x x))) #s(literal 1/24 binary64)))
✓	cost-diff	0	(.f64 x (.f64 a (.f64 (.f64 a (.f64 x (.f64 x x))) #s(literal 1/24 binary64))))
✓	cost-diff	0	(fma.f64 a (.f64 x (.f64 a (.f64 (.f64 a (.f64 x (.f64 x x))) #s(literal 1/24 binary64)))) x)
✓	cost-diff	0	(.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	0	(.f64 (.f64 a #s(literal 1/2 binary64)) x)
✓	cost-diff	0	(fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x)
✓	cost-diff	0	(fma.f64 a (fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x) #s(literal 1 binary64))
✓	cost-diff	256	(-.f64 (fma.f64 a (fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x a)

Rules

13 864×	`lower-fma.f32`
13 854×	`lower-fma.f64`
4 076×	`lower-*.f32`
4 050×	`lower-*.f64`
3 210×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	237
0	54	222
1	118	205
2	271	196
3	740	194
4	1312	194
5	2604	194
6	4416	194
7	6566	194
8	7835	194
0	8116	186

Stop Event

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

Calls

Call 1

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

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

localize133.0ms (1.6%)

Memory

17.0MiB live, 216.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.4%	(fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64))
✓	accuracy	94.1%	(.f64 a (.f64 x (*.f64 a x)))
✓	accuracy	72.0%	(/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x)))
✓	accuracy	55.4%	(-.f64 (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x))) #s(literal 1 binary64))
✓	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	100.0%	(*.f64 a #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x)
✓	accuracy	97.4%	(fma.f64 a (fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x) #s(literal 1 binary64))
✓	accuracy	55.4%	(-.f64 (fma.f64 a (fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x a)

Samples

44.0ms	77×	2	valid
28.0ms	81×	1	valid
21.0ms	98×	0	valid

Compiler

Compiled 253 to 34 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 27.0ms (43.9% of total)

adjust: 11.0ms (17.9% of total)

ival-add: 9.0ms (14.6% of total)

ival-sub: 6.0ms (9.7% of total)

const: 4.0ms (6.5% of total)

ival-div: 3.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory

-3.2MiB live, 33.8MiB allocated

Counts

13 → 300

Calls

Call 1

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

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

Calls

75 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(* a (+ (* a (* x (* a (* (* a (* x (* x x))) 1/24)))) x))
2.0ms	a	@	0	(* a (* x (* x x)))
2.0ms	a	@	-inf	(- (/ (+ (* (* a x) (* a (* x (* a x)))) 1) (- (+ (* a (* x (* a x))) 1) (* a x))) 1)
2.0ms	x	@	inf	(- (/ (+ (* (* a x) (* a (* x (* a x)))) 1) (- (+ (* a (* x (* a x))) 1) (* a x))) 1)
2.0ms	a	@	inf	(- (/ (+ (* (* a x) (* a (* x (* a x)))) 1) (- (+ (* a (* x (* a x))) 1) (* a x))) 1)

rewrite322.0ms (3.9%)

Memory

15.4MiB live, 402.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 318×	`lower-fma.f32`
6 308×	`lower-fma.f64`
5 212×	`lower-*.f32`
5 186×	`lower-*.f64`
3 822×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	157
0	53	148
1	212	131
2	1616	131
0	8216	131

Stop Event

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

Counts

13 → 412

Calls

Call 1

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

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

simplify257.0ms (3.1%)

Memory

13.2MiB live, 248.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 796×	`lower-fma.f64`
8 796×	`lower-fma.f32`
2 914×	`lower-*.f64`
2 914×	`lower-*.f32`
1 788×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	2244
1	620	2244
2	2087	2244
3	6803	2244
0	8101	2106

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 296

Calls

Call 1

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

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

eval82.0ms (1%)

Memory: 1.8MiB live, 115.8MiB allocated
Compiler: Compiled 23 957 to 1 371 computations (94.3% saved)

prune77.0ms (0.9%)

Memory

1.7MiB live, 124.2MiB allocated

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	699	9	708
Fresh	2	15	17
Picked	2	3	5
Done	0	1	1
Total	703	28	731

Accuracy

100.0%

Counts

731 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.9%	(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))) (.f64 (.f64 a 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))) a)))
▶	64.1%	(fma.f64 x a (.f64 (.f64 a 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))) a)))
▶	19.4%	(/.f64 (-.f64 (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (fma.f64 a x #s(literal 2 binary64))) (fma.f64 a x #s(literal 2 binary64))) (*.f64 (fma.f64 a x #s(literal 2 binary64)) (fma.f64 a x #s(literal 2 binary64))))
	19.4%	(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal 1 binary64))))))
	64.0%	(/.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x)) (fma.f64 a x #s(literal 2 binary64)))
	63.5%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x))))
✓	19.2%	(-.f64 (fma.f64 a (fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x) #s(literal 1 binary64)) #s(literal 1 binary64))
	20.9%	(-.f64 (/.f64 (fma.f64 (.f64 a x) (.f64 (.f64 x (.f64 a a)) x) #s(literal 1 binary64)) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x))) #s(literal 1 binary64))
	18.2%	(-.f64 (/.f64 (fma.f64 (.f64 a x) (.f64 (.f64 x x) (.f64 a a)) #s(literal 1 binary64)) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x))) #s(literal 1 binary64))
	1.6%	(-.f64 (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (-.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))) #s(literal 1 binary64))
	19.8%	(-.f64 (/.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
	22.1%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (.f64 x (.f64 a a)) #s(literal 1 binary64)) (.f64 x a)) (fma.f64 a (.f64 x (.f64 a (.f64 x (*.f64 x a)))) #s(literal 1 binary64)))) #s(literal 1 binary64))
	6.1%	(-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) #s(literal 1 binary64))
	18.8%	(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal -1 binary64)))
▶	20.3%	(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
	63.6%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x a)) x) a)
	63.6%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) (*.f64 x a))
	64.0%	(.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))))
	17.4%	(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 a a))))))
	18.1%	(.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a x))))
✓	64.5%	(*.f64 x a)
	63.1%	(.f64 a (fma.f64 (.f64 (.f64 x a) (.f64 x (.f64 a (.f64 x (*.f64 x a))))) #s(literal 1/24 binary64) x))
	64.1%	(.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x))
▶	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))
	31.2%	(expm1.f64 (/.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	18.8%	#s(literal 0 binary64)

Compiler

Compiled 1 055 to 531 computations (49.7% saved)

simplify496.0ms (6%)

Memory

31.6MiB live, 566.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)))
✓	cost-diff	0	(.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)))
✓	cost-diff	640	(-.f64 (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (fma.f64 a x #s(literal 2 binary64))) (fma.f64 a x #s(literal 2 binary64)))
✓	cost-diff	3200	(/.f64 (-.f64 (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (fma.f64 a x #s(literal 2 binary64))) (fma.f64 a x #s(literal 2 binary64))) (*.f64 (fma.f64 a x #s(literal 2 binary64)) (fma.f64 a x #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))))
✓	cost-diff	0	(.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	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)
✓	cost-diff	0	(.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))
✓	cost-diff	0	(.f64 x (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
✓	cost-diff	0	(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	0	(.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	0	(fma.f64 a x #s(literal -1 binary64))
✓	cost-diff	256	(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
✓	cost-diff	0	(.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))) a)
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 (.f64 a 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))) a))
✓	cost-diff	320	(fma.f64 x a (.f64 (.f64 a 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))) a)))

Rules

27 640×	`lower-fma.f32`
27 620×	`lower-fma.f64`
4 446×	`lower-*.f32`
4 410×	`lower-*.f64`
3 940×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	350
0	77	321
1	202	320
2	671	311
3	2306	308
4	4847	308
0	8506	307

Stop Event

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

Calls

Call 1

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

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

localize223.0ms (2.7%)

Memory

4.0MiB live, 278.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.f64 (fma.f64 a x #s(literal 2 binary64)) (fma.f64 a x #s(literal 2 binary64)))
✓	accuracy	99.9%	(*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)))
✓	accuracy	72.0%	(/.f64 (-.f64 (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (fma.f64 a x #s(literal 2 binary64))) (fma.f64 a x #s(literal 2 binary64))) (*.f64 (fma.f64 a x #s(literal 2 binary64)) (fma.f64 a x #s(literal 2 binary64))))
✓	accuracy	44.8%	(-.f64 (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (fma.f64 a x #s(literal 2 binary64))) (fma.f64 a x #s(literal 2 binary64)))
✓	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))))
✓	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 a x #s(literal -1 binary64))
✓	accuracy	55.4%	(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 a 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))) a))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	99.3%	(.f64 x (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	98.2%	(.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))) a)

Samples

65.0ms	81×	1	valid
63.0ms	77×	2	valid
31.0ms	98×	0	valid

Compiler

Compiled 400 to 48 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-mult: 57.0ms (50.6% of total)

ival-add: 24.0ms (21.3% of total)

adjust: 17.0ms (15.1% of total)

const: 8.0ms (7.1% of total)

ival-div: 3.0ms (2.7% of total)

ival-sub: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory

6.3MiB live, 43.8MiB allocated

Counts

18 → 408

Calls

Call 1

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

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

Calls

102 calls:

Time	Variable		Point	Expression
8.0ms	a	@	inf	(* (* x (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) a)
1.0ms	a	@	-inf	(/ (- (* (* (+ (* a x) 1) (+ (* a x) 1)) (+ (* a x) 2)) (+ (* a x) 2)) (* (+ (* a x) 2) (+ (* a x) 2)))
1.0ms	x	@	-inf	(/ (- (* (* (+ (* a x) 1) (+ (* a x) 1)) (+ (* a x) 2)) (+ (* a x) 2)) (* (+ (* a x) 2) (+ (* a x) 2)))
1.0ms	x	@	inf	(/ (- (* (* (+ (* a x) 1) (+ (* a x) 1)) (+ (* a x) 2)) (+ (* a x) 2)) (* (+ (* a x) 2) (+ (* a x) 2)))
1.0ms	a	@	inf	(/ (- (* (* (+ (* a x) 1) (+ (* a x) 1)) (+ (* a x) 2)) (+ (* a x) 2)) (* (+ (* a x) 2) (+ (* a x) 2)))

rewrite386.0ms (4.7%)

Memory

-24.2MiB live, 448.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 758×	`lower-*.f32`
4 722×	`lower-*.f64`
4 282×	`lower-fma.f32`
4 264×	`lower-fma.f64`
3 734×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	221
0	74	206
1	334	205
2	2611	205
0	8150	204

Stop Event

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

Counts

18 → 846

Calls

Call 1

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

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

simplify690.0ms (8.3%)

Memory

-47.3MiB live, 560.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 674×	`lower-fma.f64`
13 674×	`lower-fma.f32`
8 008×	`lower-*.f64`
8 008×	`lower-*.f32`
2 014×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	496	4881
1	1784	4775
2	5861	4759
0	8151	4433

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 404

Calls

Call 1

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

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

eval299.0ms (3.6%)

Memory: 34.4MiB live, 382.5MiB allocated
Compiler: Compiled 59 160 to 3 971 computations (93.3% saved)

prune273.0ms (3.3%)

Memory

88.5MiB live, 439.0MiB allocated

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	1 243	7	1 250
Fresh	7	12	19
Picked	2	3	5
Done	0	4	4
Total	1 252	26	1 278

Accuracy

100.0%

Counts

1 278 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.9%	(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))) (.f64 (.f64 a 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))) a)))
	64.9%	(fma.f64 x a (.f64 (.f64 x a) (.f64 (.f64 x (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a)))
✓	64.1%	(fma.f64 x a (.f64 (.f64 a 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))) a)))
	64.0%	(/.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x)) (fma.f64 a x #s(literal 2 binary64)))
	64.0%	(/.f64 (.f64 x (.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 a x #s(literal 2 binary64)) (fma.f64 a x #s(literal 2 binary64))))
✓	19.2%	(-.f64 (fma.f64 a (fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x) #s(literal 1 binary64)) #s(literal 1 binary64))
	20.9%	(-.f64 (/.f64 (fma.f64 (.f64 a x) (.f64 (.f64 x (.f64 a a)) x) #s(literal 1 binary64)) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x))) #s(literal 1 binary64))
	6.1%	(-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) #s(literal 1 binary64))
	18.8%	(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal -1 binary64)))
✓	20.3%	(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
	19.7%	(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 a (.f64 x a)) #s(literal -1 binary64)) (fma.f64 x a #s(literal 1 binary64))))
	3.9%	(+.f64 #s(literal 1 binary64) (*.f64 a x))
	63.6%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x a)) x) a)
	63.6%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) (*.f64 x a))
	17.4%	(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 a a))))))
	18.1%	(.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a x))))
	19.1%	(.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a (.f64 x (.f64 a a))))))
✓	64.5%	(*.f64 x a)
	64.9%	(.f64 a (fma.f64 (.f64 (.f64 x a) (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x))
	63.1%	(.f64 a (fma.f64 (.f64 (.f64 x a) (.f64 x (.f64 a (.f64 x (*.f64 x a))))) #s(literal 1/24 binary64) x))
	64.1%	(.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x))
✓	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))
	60.3%	(.f64 a (fma.f64 a (.f64 x (.f64 a (.f64 x (*.f64 x #s(literal 1/6 binary64))))) x))
	31.2%	(expm1.f64 (/.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	18.8%	#s(literal 0 binary64)

Compiler

Compiled 1 201 to 429 computations (64.3% saved)

regimes91.0ms (1.1%)

Memory

-56.1MiB live, 161.0MiB allocated

Counts

49 → 1

Calls

Call 1

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

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

Calls

5 calls:

33.0ms	(*.f64 a x)
16.0ms	a
16.0ms	x
13.0ms	(exp.f64 (*.f64 a x))
11.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

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

Compiler

Compiled 25 to 17 computations (32% saved)

regimes87.0ms (1%)

Memory

-3.0MiB live, 127.5MiB allocated

Counts

44 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x a)
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 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 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) (*.f64 x a))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x a)) x) a)
(-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) 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 (fma.f64 a (fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a (.f64 x (.f64 a a))))))
(.f64 a (fma.f64 a (.f64 x (.f64 a (.f64 x (*.f64 x #s(literal 1/6 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 (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(.f64 a (fma.f64 (.f64 (.f64 x a) (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x))
(/.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x)) (fma.f64 a x #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 a (.f64 x a)) #s(literal -1 binary64)) (fma.f64 x a #s(literal 1 binary64))))
(-.f64 (/.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 x a (.f64 (.f64 x a) (.f64 (.f64 x (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a)))
(.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))))
(/.f64 (.f64 x (.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 a x #s(literal 2 binary64)) (fma.f64 a x #s(literal 2 binary64))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a (.f64 a a))))))
(.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 (.f64 (.f64 x a) (.f64 x (.f64 a (.f64 x (*.f64 x 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))
(.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x))))
(fma.f64 x a (.f64 (.f64 a 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))) a)))
(-.f64 (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (-.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))) #s(literal 1 binary64))
(-.f64 (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x))) #s(literal 1 binary64))
(-.f64 (/.f64 (fma.f64 (.f64 a x) (.f64 (.f64 x x) (.f64 a a)) #s(literal 1 binary64)) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x))) #s(literal 1 binary64))
(-.f64 (/.f64 (fma.f64 (.f64 a x) (.f64 (.f64 x (.f64 a a)) x) #s(literal 1 binary64)) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (fma.f64 a x #s(literal 2 binary64))) (fma.f64 a x #s(literal 2 binary64))) (*.f64 (fma.f64 a x #s(literal 2 binary64)) (fma.f64 a x #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (.f64 a x)) (fma.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x))) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (.f64 x (.f64 a a)) #s(literal 1 binary64)) (.f64 x a)) (fma.f64 a (.f64 x (.f64 a (.f64 x (*.f64 x a)))) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal 1 binary64))))))
(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))) (.f64 (.f64 a 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))) a)))

Outputs

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

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

Calls

5 calls:

34.0ms	(*.f64 a x)
15.0ms	x
13.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
12.0ms	a
10.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
68.0%	2	`a`
64.9%	1	`x`
67.6%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
67.6%	2	`(exp.f64 (*.f64 a x))`
67.6%	2	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes12.0ms (0.1%)

Memory

-12.1MiB live, 24.6MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
68.0%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes27.0ms (0.3%)

Memory

11.8MiB live, 56.7MiB allocated

Counts

20 → 2

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	(*.f64 a x)
6.0ms	a
5.0ms	(exp.f64 (*.f64 a x))
5.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
67.1%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
67.1%	2	`(exp.f64 (*.f64 a x))`
67.1%	2	`(*.f64 a x)`
67.5%	2	`a`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes25.0ms (0.3%)

Memory

-27.9MiB live, 49.6MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

5 calls:

7.0ms	x
7.0ms	a
4.0ms	(*.f64 a x)
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
3.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
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)`
64.5%	1	`a`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes7.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 0 binary64)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
18.8%	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)

bsearch14.0ms (0.2%)

Memory

-12.7MiB live, 26.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-4.876609522388795e+252	-2.686940967866293e+245

Samples

5.0ms

144×

valid

Compiler

Compiled 317 to 207 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (51% of total)

ival-expm1: 1.0ms (51% of total)

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

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

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-4.876609522388795e+252	-2.686940967866293e+245

Compiler

Compiled 299 to 198 computations (33.8% saved)

bsearch8.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	-4.876609522388795e+252	-2.686940967866293e+245

Samples

4.0ms

112×

valid

Compiler

Compiled 191 to 135 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (63.9% of total)

ival-expm1: 1.0ms (63.9% of total)

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

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

simplify14.0ms (0.2%)

Memory

-27.5MiB live, 17.7MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-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	30	88
1	45	88
2	49	88
3	52	88
4	55	88
5	58	88

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 a #s(literal -109999999999999997679765745217321090701164689373684912433736820773891858008589843785289917762158621996491967454435539249312197578308830320605885695974609955215868216156480592638962907002555273906432696634139335941699847638564311697344473791572241022976 binary64)) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) #s(literal 1 binary64)) (fma.f64 x a (.f64 (.f64 x a) (.f64 (.f64 x (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a))))
(if (<=.f64 a #s(literal -109999999999999997679765745217321090701164689373684912433736820773891858008589843785289917762158621996491967454435539249312197578308830320605885695974609955215868216156480592638962907002555273906432696634139335941699847638564311697344473791572241022976 binary64)) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) #s(literal 1 binary64)) (.f64 a (fma.f64 (.f64 (.f64 x a) (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)))
(if (<=.f64 a #s(literal -58000000000000001782730424890156552508354465366173356094830928750956112402065296570831452225290780447118074232621199164458092692593215481127623155660272038772927198387701159768137480534373354268501819291140885862190980793679892642146806518174361583616 binary64)) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) #s(literal 1 binary64)) (*.f64 a x))
(*.f64 a x)
#s(literal 0 binary64)

Outputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 a #s(literal -109999999999999997679765745217321090701164689373684912433736820773891858008589843785289917762158621996491967454435539249312197578308830320605885695974609955215868216156480592638962907002555273906432696634139335941699847638564311697344473791572241022976 binary64)) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) #s(literal 1 binary64)) (fma.f64 x a (.f64 (.f64 x a) (.f64 (.f64 x (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a))))
(if (<=.f64 a #s(literal -109999999999999997679765745217321090701164689373684912433736820773891858008589843785289917762158621996491967454435539249312197578308830320605885695974609955215868216156480592638962907002555273906432696634139335941699847638564311697344473791572241022976 binary64)) (+.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) #s(literal -1 binary64)) (fma.f64 x a (.f64 (.f64 a x) (.f64 a (.f64 x (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(if (<=.f64 a #s(literal -109999999999999997679765745217321090701164689373684912433736820773891858008589843785289917762158621996491967454435539249312197578308830320605885695974609955215868216156480592638962907002555273906432696634139335941699847638564311697344473791572241022976 binary64)) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) #s(literal 1 binary64)) (.f64 a (fma.f64 (.f64 (.f64 x a) (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)))
(if (<=.f64 a #s(literal -109999999999999997679765745217321090701164689373684912433736820773891858008589843785289917762158621996491967454435539249312197578308830320605885695974609955215868216156480592638962907002555273906432696634139335941699847638564311697344473791572241022976 binary64)) (+.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) #s(literal -1 binary64)) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)))
(if (<=.f64 a #s(literal -58000000000000001782730424890156552508354465366173356094830928750956112402065296570831452225290780447118074232621199164458092692593215481127623155660272038772927198387701159768137480534373354268501819291140885862190980793679892642146806518174361583616 binary64)) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) #s(literal 1 binary64)) (*.f64 a x))
(if (<=.f64 a #s(literal -58000000000000001782730424890156552508354465366173356094830928750956112402065296570831452225290780447118074232621199164458092692593215481127623155660272038772927198387701159768137480534373354268501819291140885862190980793679892642146806518174361583616 binary64)) (+.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) #s(literal -1 binary64)) (*.f64 a x))
(*.f64 a x)
#s(literal 0 binary64)

soundness1.3s (15.8%)

Memory

32.8MiB live, 776.8MiB allocated

Rules

18 712×	`lower-fma.f64`
18 712×	`lower-fma.f32`
8 796×	`lower-fma.f64`
8 796×	`lower-fma.f32`
8 560×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	121
0	45	117
1	206	115
2	1676	115
0	8442	115
0	6	13
0	9	13
1	30	13
2	152	13
0	1346	11
0	38	221
0	74	206
1	334	205
2	2611	205
0	8150	204
0	313	2885
1	1056	2856
2	3238	2814
0	8183	2574
0	181	2244
1	620	2244
2	2087	2244
3	6803	2244
0	8101	2106
0	63	432
1	195	432
2	526	424
3	1050	424
4	1650	424
5	1848	424
6	1875	424
7	1895	424
8	1909	424
9	1912	424
10	1912	424
11	2607	420
12	3082	420
13	4049	420
14	4050	420
15	4050	420
16	4178	420
17	4178	420
18	6095	416
19	6319	416
20	6361	416
21	6375	416
22	6375	416
23	6551	416
24	6889	416
25	6889	416
26	7463	416
0	7463	360

Stop Event

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

Compiler

Compiled 293 to 155 computations (47.1% saved)

preprocess65.0ms (0.8%)

Memory: 0.5MiB live, 164.1MiB allocated
Remove: (sort a x)
Compiler: Compiled 220 to 86 computations (60.9% 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

analyze19.0ms (0.2%)

sample599.0ms (7.2%)

preprocess36.0ms (0.4%)

explain87.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize32.0ms (0.4%)

series4.0ms (0%)

rewrite111.0ms (1.3%)

simplify309.0ms (3.7%)

eval21.0ms (0.2%)

prune23.0ms (0.3%)

simplify412.0ms (5%)

localize96.0ms (1.2%)

series19.0ms (0.2%)

rewrite361.0ms (4.3%)

simplify411.0ms (5%)

eval209.0ms (2.5%)

prune207.0ms (2.5%)

simplify370.0ms (4.5%)

localize133.0ms (1.6%)

series31.0ms (0.4%)

rewrite322.0ms (3.9%)

simplify257.0ms (3.1%)

eval82.0ms (1%)

prune77.0ms (0.9%)

simplify496.0ms (6%)

localize223.0ms (2.7%)

series38.0ms (0.5%)

rewrite386.0ms (4.7%)

simplify690.0ms (8.3%)

eval299.0ms (3.6%)

prune273.0ms (3.3%)

regimes91.0ms (1.1%)

regimes87.0ms (1%)

regimes12.0ms (0.1%)

regimes27.0ms (0.3%)

regimes25.0ms (0.3%)

regimes7.0ms (0.1%)

bsearch14.0ms (0.2%)

bsearch1.0ms (0%)

bsearch8.0ms (0.1%)

simplify14.0ms (0.2%)

soundness1.3s (15.8%)

preprocess65.0ms (0.8%)

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