Metrics for expax (section 3.5)

analyze23.0ms (0.3%)

Memory

-10.0MiB live, 29.4MiB 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)

sample771.0ms (11.5%)

Memory

18.3MiB live, 837.0MiB allocated

Samples

496.0ms	8 256×	0	valid
13.0ms	315×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-mult: 94.0ms (50.7% of total)

ival-expm1: 51.0ms (27.5% of total)

ival->: 29.0ms (15.7% of total)

exact: 8.0ms (4.3% of total)

ival-assert: 4.0ms (2.2% of total)

Bogosity

preprocess25.0ms (0.4%)

Memory

-24.6MiB live, 27.3MiB 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)

explain71.0ms (1.1%)

Memory

16.4MiB live, 174.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
256	-	121	(5.730958863280954e-283 1.1469227517411197e-80)	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
256	-	254	(5.730958863280954e-283 1.1469227517411197e-80)	`(exp.f64 (*.f64 a x))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 a x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	135	0
`exp.f64`	`(exp.f64 (*.f64 a x))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	135	0
-	2	119

Precision

0.9854014598540146

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	135	0	0
-	2	0	119

Precision?

0.9854014598540146

Recall?

1.0

Freqs

test

number	freq
0	119
1	137

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 70 to 34 computations (51.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 7.0ms (42.3% of total)

ival-exp: 5.0ms (30.2% of total)

ival-expm1: 3.0ms (18.1% of total)

ival-true: 1.0ms (6% of total)

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.2%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

6×	`lower-exp.f32`
4×	`exp-prod`
4×	`lower-pow.f64`
4×	`lower-+.f64`
4×	`lower-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.3%)

Memory

-0.3MiB live, 38.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	2.7%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓	accuracy	2.5%	(exp.f64 (*.f64 a x))

Samples

14.0ms

256×

valid

Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions

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

ival-exp: 2.0ms (35.2% of total)

ival-mult: 2.0ms (35.2% of total)

ival-expm1: 2.0ms (35.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

-27.8MiB live, 11.0MiB 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>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt 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 (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(exp (* a x))
0.0ms	a	@	inf	(* a x)
0.0ms	a	@	0	(- (exp (* a x)) 1)
0.0ms	x	@	-inf	(* a x)
0.0ms	a	@	-inf	(* a x)

Compiler

Compiled 126 to 90 computations (28.6% saved)

rewrite87.0ms (1.3%)

Memory

24.5MiB live, 142.2MiB 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)

simplify358.0ms (5.3%)

Memory

-10.0MiB live, 307.9MiB 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	416
1	195	416
2	526	408
3	1050	408
4	1650	408
5	1848	408
6	1875	408
7	1895	408
8	1909	408
9	1912	408
10	1912	408
11	2607	404
12	3082	404
13	4049	404
14	4050	404
15	4050	404
16	4178	404
17	4178	404
18	6095	400
19	6319	400
20	6361	400
21	6375	400
22	6375	400
23	6551	400
24	6889	400
25	6889	400
26	7463	400
0	7463	344

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 64

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
a
a
a
a
a
a
a
(* 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
a
a
a
a
a
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)

eval19.0ms (0.3%)

Memory: 11.2MiB live, 49.3MiB allocated
Compiler: Compiled 3 138 to 324 computations (89.7% saved)

prune18.0ms (0.3%)

Memory

11.7MiB live, 47.7MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	171	4	175
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	172	4	176

Accuracy

100.0%

Counts

176 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.6%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶	64.8%	(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
▶	69.6%	(*.f64 a x)
▶	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify14.0ms (0.2%)

Memory

-20.3MiB live, 23.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

246×	`lower-*.f32`
238×	`lower-*.f64`
154×	`associate-r`
116×	`lower-fma.f32`
114×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	21	45
1	41	45
2	67	45
3	121	45
4	170	45
5	186	45
6	192	45
7	258	45
8	261	45
0	261	45

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (0.5%)

Memory

12.6MiB live, 90.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	33.1%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	6.8%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	accuracy	3.9%	(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
✓	accuracy	3.0%	(fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
✓	accuracy	2.8%	(*.f64 x x)
✓	accuracy	5.6%	(*.f64 a x)
✓	accuracy	5.6%	(*.f64 a x)
✓	accuracy	3.3%	(expm1.f64 (*.f64 a x))

Samples

23.0ms

256×

valid

Compiler

Compiled 102 to 25 computations (75.5% saved)

Precisions

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

ival-mult: 8.0ms (64.5% of total)

ival-expm1: 2.0ms (16.1% of total)

ival-sub: 1.0ms (8.1% of total)

ival-add: 1.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-3.2MiB live, 35.5MiB allocated

Counts

7 → 120

Calls

Call 1

Inputs
#<alt (expm1.f64 (*.f64 a x))>
#<alt (*.f64 a x)>
#<alt (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))>
#<alt (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 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>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt 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 (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 3)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 3)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 3)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 3)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 3)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 3)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 4)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 4)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 4)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 4)) (/ x a)))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) (pow x 2)))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) (pow x 2)))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/2 (pow a 2)) (/ a (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/2 (pow a 2)) (/ a (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/2 (pow a 2)) (/ a (pow x 2))))>
#<alt (* -1/2 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* 1/2 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* 1/2 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* 1/2 (pow a 2)))))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 3))))>
#<alt (+ x (* 1/2 (* a (pow x 3))))>
#<alt (+ x (* 1/2 (* a (pow x 3))))>
#<alt (* 1/2 (* a (pow x 3)))>
#<alt (* a (+ (* 1/2 (pow x 3)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 3)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 3)) (/ x a)))>
#<alt (* 1/2 (* a (pow x 3)))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 3)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 3)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 3)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (* a (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* a (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/2 a) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/2 a) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/2 a) (/ 1 (pow x 2))))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 a) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 a) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 a) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

30 calls:

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

Compiler

Compiled 274 to 202 computations (26.3% saved)

rewrite339.0ms (5%)

Memory

-4.5MiB live, 588.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 412×	`lower-fma.f32`
6 410×	`lower-fma.f64`
5 168×	`lower-*.f32`
5 160×	`lower-*.f64`
2 464×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
0	21	34
1	67	34
2	379	34
3	3538	34
0	8226	34

Stop Event

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

Counts

7 → 334

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x)))) #s(literal -1 binary64)))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))
(+.f64 (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (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 (+.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)))) (neg.f64 (/.f64 #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))))))
(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 x)) (/.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(fma.f64 (exp.f64 (.f64 a x)) (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (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 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))))
(fma.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))))
(fma.f64 (exp.f64 (.f64 a (+.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))))
(fma.f64 (exp.f64 (.f64 a (+.f64 x x))) (/.f64 (exp.f64 (.f64 a x)) (+.f64 (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 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))))
(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 (+.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 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a 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 (/.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(fma.f64 (exp.f64 (.f64 x (/.f64 a #s(literal 2 binary64)))) (exp.f64 (.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))
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(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) (fma.f64 (.f64 a (.f64 x x)) #s(literal -1/2 binary64) (neg.f64 (neg.f64 x)))) (.f64 (fma.f64 (.f64 a (.f64 x x)) #s(literal -1/2 binary64) (neg.f64 (neg.f64 x))) (.f64 x (neg.f64 x)))) (.f64 (fma.f64 (.f64 a (.f64 x x)) #s(literal -1/2 binary64) (neg.f64 (neg.f64 x))) (fma.f64 (.f64 a (.f64 x x)) #s(literal -1/2 binary64) (neg.f64 (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x (.f64 (.f64 a (.f64 x x)) #s(literal -1/2 binary64)))) (.f64 (+.f64 x (.f64 (.f64 a (.f64 x x)) #s(literal -1/2 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64))))) (.f64 (+.f64 x (.f64 (.f64 a (.f64 x x)) #s(literal -1/2 binary64))) (+.f64 x (.f64 (.f64 a (.f64 x x)) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (.f64 (.f64 a (.f64 x x)) #s(literal -1/2 binary64))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64))))) #s(literal -1 binary64))
(.f64 (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (.f64 (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 x)))))
(.f64 (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 x)) (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (neg.f64 x))))
(.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 x)) (*.f64 x x))))
(.f64 (fma.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 x)) (.f64 x x)) (.f64 (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 x)) (.f64 x x)))))
(.f64 (fma.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 x)) (.f64 x x)) (/.f64 (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (fma.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 x)) (*.f64 x x))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (neg.f64 x))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 x)) (*.f64 x x)))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (*.f64 x x)) #s(literal -1/2 binary64) (neg.f64 (neg.f64 x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 x)) (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64))) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 x))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (*.f64 x (neg.f64 x))))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (.f64 a (*.f64 x x)) #s(literal -1/2 binary64)))))
(.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 x (neg.f64 x))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 x (neg.f64 x)))) (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64))) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x (.f64 (.f64 a (.f64 x x)) #s(literal -1/2 binary64))) (.f64 (+.f64 x (.f64 (.f64 a (.f64 x x)) #s(literal -1/2 binary64))) (+.f64 x (.f64 (.f64 a (.f64 x x)) #s(literal -1/2 binary64))))) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/64 binary64)))))) (fma.f64 a (.f64 (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) (.f64 (.f64 x (+.f64 x (.f64 (.f64 a (.f64 x x)) #s(literal -1/2 binary64)))) (-.f64 (.f64 x (+.f64 x (.f64 (.f64 a (.f64 x x)) #s(literal -1/2 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 a a) #s(literal 1/4 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64))) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 x)) (.f64 x x)) (fma.f64 a (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) (.f64 (neg.f64 x) (+.f64 x (.f64 (.f64 a (.f64 x x)) #s(literal -1/2 binary64))))))) (fma.f64 a (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) (.f64 (neg.f64 x) (+.f64 x (.f64 (.f64 a (.f64 x x)) #s(literal -1/2 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 x (neg.f64 x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64))) (neg.f64 (.f64 x (.f64 x x))))) (fma.f64 a (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) (.f64 x (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) x)
(exp.f64 (log.f64 (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
#s(literal 0 binary64)

simplify303.0ms (4.5%)

Memory

19.5MiB live, 611.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 970×	`lower-fma.f64`
11 970×	`lower-fma.f32`
5 022×	`lower-*.f64`
5 022×	`lower-*.f32`
1 174×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	815
1	341	812
2	979	790
3	2673	772
4	5905	772
0	8608	692

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 106

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

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

eval61.0ms (0.9%)

Memory: 14.4MiB live, 125.3MiB allocated
Compiler: Compiled 12 260 to 1 040 computations (91.5% saved)

prune61.0ms (0.9%)

Memory

1.4MiB live, 161.3MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	476	11	487
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	478	13	491

Accuracy

100.0%

Counts

491 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.5%	(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 a x) a) (.f64 a x))
▶	36.2%	(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) a) (+.f64 x (.f64 (.f64 a (*.f64 x x)) #s(literal -1/2 binary64))))
	29.5%	(/.f64 (.f64 (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 x)))) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 x))))
▶	64.6%	(/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)))
	36.1%	(.f64 (.f64 a (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 x))))
	43.1%	(.f64 a (fma.f64 (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) (/.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (neg.f64 x))))))
	48.1%	(.f64 a (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
	58.8%	(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (.f64 x x) (*.f64 x x))) x))
▶	68.5%	(.f64 a (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
	20.7%	(.f64 a (.f64 a (.f64 x (.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
✓	69.6%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	20.6%	#s(literal 0 binary64)

Compiler

Compiled 469 to 237 computations (49.5% saved)

simplify284.0ms (4.2%)

Memory

-22.2MiB live, 381.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) a)
✓	cost-diff	128	(+.f64 x (.f64 (.f64 a (*.f64 x x)) #s(literal -1/2 binary64)))
✓	cost-diff	448	(-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 a a) #s(literal 1/4 binary64))))
✓	cost-diff	640	(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) a) (+.f64 x (.f64 (.f64 a (*.f64 x x)) #s(literal -1/2 binary64))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	cost-diff	0	(fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x))
✓	cost-diff	1088	(/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 (.f64 a x) a)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	320	(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 a x) a) (.f64 a x))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
✓	cost-diff	0	(.f64 a (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))

Rules

7 744×	`lower-fma.f32`
7 738×	`lower-fma.f64`
4 586×	`lower-*.f32`
4 556×	`lower-*.f64`
2 776×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	226
0	56	210
1	110	200
2	284	200
3	793	200
4	1625	198
5	3019	196
6	5126	196
7	7638	196
0	8022	191

Stop Event

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

Calls

Call 1

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

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

localize95.0ms (1.4%)

Memory

18.8MiB live, 135.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	4.2%	(*.f64 a a)
✓	accuracy	3.3%	(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)))
✓	accuracy	3.0%	(.f64 x (.f64 x x))
✓	accuracy	2.3%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	23.4%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	accuracy	11.1%	(fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
✓	accuracy	4.2%	(*.f64 x x)
✓	accuracy	3.4%	(/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x))
✓	accuracy	68.0%	(*.f64 a x)
✓	accuracy	4.8%	(.f64 (.f64 a x) a)
✓	accuracy	4.5%	(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 a x) a) (.f64 a x))
✓	accuracy	3.5%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	3.7%	(.f64 a (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
✓	accuracy	3.5%	(.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	3.5%	(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	3.5%	(*.f64 x #s(literal 1/2 binary64))

Samples

57.0ms

256×

valid

Compiler

Compiled 463 to 65 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 25.0ms (63.7% of total)

ival-add: 7.0ms (17.8% of total)

ival-div: 5.0ms (12.7% of total)

ival-sub: 1.0ms (2.5% of total)

exact: 1.0ms (2.5% of total)

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

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

series76.0ms (1.1%)

Memory

-12.4MiB live, 63.7MiB allocated

Counts

20 → 408

Calls

Call 1

Inputs
#<alt (.f64 a (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))>
#<alt (.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)>
#<alt (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 a x) a) (.f64 a x))>
#<alt (.f64 (.f64 a x) a)>
#<alt (*.f64 a x)>
#<alt (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x))>
#<alt (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x x))>
#<alt (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) a) (+.f64 x (.f64 (.f64 a (*.f64 x x)) #s(literal -1/2 binary64))))>
#<alt (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 a a) #s(literal 1/4 binary64))))>
#<alt (+.f64 x (.f64 (.f64 a (*.f64 x x)) #s(literal -1/2 binary64)))>
#<alt (.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) a)>
#<alt (*.f64 x x)>
#<alt (.f64 x (.f64 x (*.f64 x x)))>
#<alt (.f64 x (.f64 x x))>
#<alt (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)))>
#<alt (*.f64 a a)>

Outputs
#<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) x))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ x a)))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (* 1/2 (* a x))>
#<alt (* a (+ (* 1/2 x) (/ x a)))>
#<alt (* a (+ (* 1/2 x) (/ x a)))>
#<alt (* a (+ (* 1/2 x) (/ x a)))>
#<alt (* 1/2 (* a x))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (* 1/2 (* a x))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* 1/2 (* a x))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 3) (pow x 2)))))>
#<alt (* x (+ a (* 1/2 (* (pow a 3) (pow x 2)))))>
#<alt (* x (+ a (* 1/2 (* (pow a 3) (pow x 2)))))>
#<alt (* 1/2 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/2 (pow a 3)) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/2 (pow a 3)) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/2 (pow a 3)) (/ 1 (pow x 2))))>
#<alt (* 1/2 (* (pow a 6) (pow x 6)))>
#<alt (* (pow x 6) (+ (* 1/2 (pow a 6)) (/ 1 (pow x 5))))>
#<alt (* (pow x 6) (+ (* 1/2 (pow a 6)) (/ 1 (pow x 5))))>
#<alt (* (pow x 6) (+ (* 1/2 (pow a 6)) (/ 1 (pow x 5))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* (pow a 2) (pow x 3)))))>
#<alt (* a (+ x (* 1/2 (* (pow a 2) (pow x 3)))))>
#<alt (* a (+ x (* 1/2 (* (pow a 2) (pow x 3)))))>
#<alt (* 1/2 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/2 (pow x 3)) (/ x (pow a 2))))>
#<alt (* (pow a 3) (+ (* 1/2 (pow x 3)) (/ x (pow a 2))))>
#<alt (* (pow a 3) (+ (* 1/2 (pow x 3)) (/ x (pow a 2))))>
#<alt (* 1/2 (* (pow a 6) (pow x 6)))>
#<alt (* (pow a 6) (+ (* 1/2 (pow x 6)) (/ x (pow a 5))))>
#<alt (* (pow a 6) (+ (* 1/2 (pow x 6)) (/ x (pow a 5))))>
#<alt (* (pow a 6) (+ (* 1/2 (pow x 6)) (/ x (pow a 5))))>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt 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 (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 3)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 3)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 3)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 3)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 3)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 3)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 4)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 4)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 4)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 4)) (/ x a)))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) (pow x 2)))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) (pow x 2)))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/2 (pow a 2)) (/ a (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/2 (pow a 2)) (/ a (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/2 (pow a 2)) (/ a (pow x 2))))>
#<alt (* -1/2 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* 1/2 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* 1/2 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* 1/2 (pow a 2)))))>
#<alt (/ 1 x)>
#<alt (+ (* -1/2 (* a (pow x 2))) (/ 1 x))>
#<alt (+ (* a (- (* 1/4 (* a (pow x 5))) (* 1/2 (pow x 2)))) (/ 1 x))>
#<alt (+ (* a (- (* a (- (* -1/8 (* a (pow x 8))) (* -1/4 (pow x 5)))) (* 1/2 (pow x 2)))) (/ 1 x))>
#<alt (/ 2 (* a (pow x 4)))>
#<alt (/ (- (* 2 (/ 1 (pow x 4))) (* 4 (/ 1 (* a (pow x 7))))) a)>
#<alt (/ (- (+ (* 2 (/ 1 (pow x 4))) (/ 8 (* (pow a 2) (pow x 10)))) (/ 4 (* a (pow x 7)))) a)>
#<alt (/ (- (+ (* 8 (/ 1 (* (pow a 2) (pow x 10)))) (* 2 (/ 1 (pow x 4)))) (+ (* 16 (/ 1 (* (pow a 3) (pow x 13)))) (/ 4 (* a (pow x 7))))) a)>
#<alt (/ 2 (* a (pow x 4)))>
#<alt (* -1 (/ (- (* 4 (/ 1 (* a (pow x 7)))) (* 2 (/ 1 (pow x 4)))) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 10)))) (* 4 (/ 1 (pow x 7)))) a)) (* 2 (/ 1 (pow x 4)))) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* a (pow x 13)))) (* 8 (/ 1 (pow x 10)))) a)) (* 4 (/ 1 (pow x 7)))) a)) (* 2 (/ 1 (pow x 4)))) a))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/2 (* a (pow x 3)))) x)>
#<alt (/ (+ 1 (* (pow x 3) (- (* 1/4 (* (pow a 2) (pow x 3))) (* 1/2 a)))) x)>
#<alt (/ (+ 1 (* (pow x 3) (- (* (pow x 3) (- (* -1/8 (* (pow a 3) (pow x 3))) (* -1/4 (pow a 2)))) (* 1/2 a)))) x)>
#<alt (/ 2 (* a (pow x 4)))>
#<alt (/ (- (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) (pow x 3))))) (pow x 4))>
#<alt (/ (- (+ (* 2 (/ 1 a)) (/ 8 (* (pow a 3) (pow x 6)))) (/ 4 (* (pow a 2) (pow x 3)))) (pow x 4))>
#<alt (/ (- (+ (* 2 (/ 1 a)) (* 8 (/ 1 (* (pow a 3) (pow x 6))))) (+ (* 16 (/ 1 (* (pow a 4) (pow x 9)))) (/ 4 (* (pow a 2) (pow x 3))))) (pow x 4))>
#<alt (/ 2 (* a (pow x 4)))>
#<alt (/ (- (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) (pow x 3))))) (pow x 4))>
#<alt (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow a 2))) (* 8 (/ 1 (* (pow a 3) (pow x 3))))) (pow x 3))) (* 2 (/ 1 a))) (pow x 4))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow a 3))) (* 16 (/ 1 (* (pow a 4) (pow x 3))))) (pow x 3))) (* 4 (/ 1 (pow a 2)))) (pow x 3))) (* 2 (/ 1 a))) (pow x 4))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 3))))>
#<alt (+ x (* 1/2 (* a (pow x 3))))>
#<alt (+ x (* 1/2 (* a (pow x 3))))>
#<alt (* 1/2 (* a (pow x 3)))>
#<alt (* a (+ (* 1/2 (pow x 3)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 3)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 3)) (/ x a)))>
#<alt (* 1/2 (* a (pow x 3)))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 3)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 3)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 3)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (* a (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* a (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/2 a) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/2 a) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/2 a) (/ 1 (pow x 2))))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 a) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 a) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 a) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (- (* 1/4 (* (pow a 3) x)) (* -1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (- (* x (- (* 1/8 (* (pow a 4) x)) (* -1/4 (pow a 3)))) (* -1/2 (pow a 2))))))>
#<alt (* 1/2 (* (pow a 4) (pow x 5)))>
#<alt (* (pow x 5) (+ (* 1/2 (pow a 4)) (/ (pow a 4) (pow x 2))))>
#<alt (* (pow x 5) (- (+ (* 1/2 (pow a 4)) (* 2 (/ (pow a 4) (pow x 4)))) (* -1 (/ (pow a 4) (pow x 2)))))>
#<alt (* (pow x 5) (- (+ (* -2 (/ a (pow x 5))) (* 1/2 (pow a 4))) (+ (* -2 (/ (pow a 4) (pow x 4))) (* -1 (/ (pow a 4) (pow x 2))))))>
#<alt (* -1/2 (* (pow a 4) (pow x 5)))>
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ (pow a 4) (pow x 2))) (* 1/2 (pow a 4)))))>
#<alt (* -1 (* (pow x 5) (- (+ (* 1/2 (pow a 4)) (* 2 (/ (pow a 4) (pow x 4)))) (/ (pow a 4) (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (+ (* 1/2 (pow a 4)) (* 2 (/ a (pow x 5)))) (+ (* -2 (/ (pow a 4) (pow x 4))) (/ (pow a 4) (pow x 2))))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (- (* a (- (* -1/4 (pow x 5)) (* -1/4 (pow x 3)))) (* -1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (- (* a (- (+ (* -1/4 (pow x 5)) (* 1/2 (* a (* x (- (* -1/4 (pow x 5)) (* -1/4 (pow x 3))))))) (* -1/4 (pow x 3)))) (* -1/2 (pow x 2))))))>
#<alt (* 1/2 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 3)) (/ (pow x 2) a)))>
#<alt (* (pow a 2) (- (+ (* -1 (/ (+ 2 (* -2 x)) (pow a 2))) (* 1/2 (pow x 3))) (* -1 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (- (+ (* -2 (/ (+ 2 (* -2 x)) (* (pow a 3) x))) (* 1/2 (pow x 3))) (+ (* -2 (/ x (pow a 2))) (+ (* -1 (/ (pow x 2) a)) (/ 2 (pow a 2))))))>
#<alt (* -1/2 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* 1/2 (pow x 3)) (/ x a))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (- (* -1 x) (* 2 (/ 1 (* a x)))) a)) (* 1/2 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 2 (/ 1 a)) (+ (* 2 (/ 1 x)) (/ 4 (* a (pow x 3))))) a))) a)) (* 1/2 (pow x 3)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/4 (* (pow a 2) (pow x 4)))))>
#<alt (* (pow x 2) (+ 1 (* -1/4 (* (pow a 2) (pow x 4)))))>
#<alt (* (pow x 2) (+ 1 (* -1/4 (* (pow a 2) (pow x 4)))))>
#<alt (* -1/4 (* (pow a 3) (pow x 8)))>
#<alt (* (pow x 8) (- (/ 1 (pow x 5)) (* 1/4 (pow a 3))))>
#<alt (* (pow x 8) (- (/ 1 (pow x 5)) (* 1/4 (pow a 3))))>
#<alt (* (pow x 8) (- (/ 1 (pow x 5)) (* 1/4 (pow a 3))))>
#<alt (* -1/4 (* (pow a 3) (pow x 8)))>
#<alt (* -1 (* (pow x 8) (+ (* 1/4 (pow a 3)) (/ 1 (pow x 5)))))>
#<alt (* -1 (* (pow x 8) (+ (* 1/4 (pow a 3)) (/ 1 (pow x 5)))))>
#<alt (* -1 (* (pow x 8) (+ (* 1/4 (pow a 3)) (/ 1 (pow x 5)))))>
#<alt (pow x 2)>
#<alt (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2))>
#<alt (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2))>
#<alt (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2))>
#<alt (* -1/4 (* (pow a 2) (pow x 5)))>
#<alt (* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))>
#<alt (* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))>
#<alt (* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))>
#<alt (* -1/4 (* (pow a 2) (pow x 5)))>
#<alt (* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))>
#<alt (* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))>
#<alt (* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (* a (pow x 2)))))>
#<alt (* x (+ 1 (* -1/2 (* a (pow x 2)))))>
#<alt (* x (+ 1 (* -1/2 (* a (pow x 2)))))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))>
#<alt x>
#<alt (+ x (* -1/2 (* a (pow x 3))))>
#<alt (+ x (* -1/2 (* a (pow x 3))))>
#<alt (+ x (* -1/2 (* a (pow x 3))))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* a (+ (* -1/2 (pow x 3)) (/ x a)))>
#<alt (* a (+ (* -1/2 (pow x 3)) (/ x a)))>
#<alt (* a (+ (* -1/2 (pow x 3)) (/ x a)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* 1/2 (pow x 3)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* 1/2 (pow x 3)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* 1/2 (pow x 3)))))>
#<alt (* a (pow x 2))>
#<alt (* (pow x 2) (+ a (* -1/4 (* (pow a 3) (pow x 4)))))>
#<alt (* (pow x 2) (+ a (* -1/4 (* (pow a 3) (pow x 4)))))>
#<alt (* (pow x 2) (+ a (* -1/4 (* (pow a 3) (pow x 4)))))>
#<alt (* -1/4 (* (pow a 4) (pow x 8)))>
#<alt (* (pow x 8) (+ (* -1/4 (pow a 4)) (/ a (pow x 5))))>
#<alt (* (pow x 8) (+ (* -1/4 (pow a 4)) (/ a (pow x 5))))>
#<alt (* (pow x 8) (+ (* -1/4 (pow a 4)) (/ a (pow x 5))))>
#<alt (* -1/4 (* (pow a 4) (pow x 8)))>
#<alt (* (pow x 8) (+ (* -1 (/ a (pow x 5))) (* -1/4 (pow a 4))))>
#<alt (* (pow x 8) (+ (* -1 (/ a (pow x 5))) (* -1/4 (pow a 4))))>
#<alt (* (pow x 8) (+ (* -1 (/ a (pow x 5))) (* -1/4 (pow a 4))))>
#<alt (* a (pow x 2))>
#<alt (* a (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2)))>
#<alt (* a (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2)))>
#<alt (* a (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2)))>
#<alt (* -1/4 (* (pow a 3) (pow x 5)))>
#<alt (* (pow a 3) (+ (* -1/4 (pow x 5)) (/ (pow x 2) (pow a 2))))>
#<alt (* (pow a 3) (+ (* -1/4 (pow x 5)) (/ (pow x 2) (pow a 2))))>
#<alt (* (pow a 3) (+ (* -1/4 (pow x 5)) (/ (pow x 2) (pow a 2))))>
#<alt (* 1/4 (* (pow a 4) (pow x 6)))>
#<alt (* (pow a 4) (+ (* 1/4 (pow x 6)) (/ (pow x 3) (pow a 3))))>
#<alt (* (pow a 4) (+ (* 1/4 (pow x 6)) (/ (pow x 3) (pow a 3))))>
#<alt (* (pow a 4) (+ (* 1/4 (pow x 6)) (/ (pow x 3) (pow a 3))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/4 (* (pow a 3) (pow x 5)))>
#<alt (* 1/4 (* (pow a 3) (pow x 5)))>
#<alt (* 1/4 (* (pow a 3) (pow x 5)))>
#<alt (* 1/4 (* (pow a 3) (pow x 5)))>
#<alt (* 1/4 (* (pow a 3) (pow x 5)))>
#<alt (* 1/4 (* (pow a 3) (pow x 5)))>
#<alt (* 1/4 (* (pow a 3) (pow x 5)))>
#<alt (* 1/4 (* (pow a 3) (pow x 5)))>
#<alt (* -1/4 (* (pow a 3) (pow x 5)))>
#<alt (* -1/4 (* (pow a 3) (pow x 5)))>
#<alt (* -1/4 (* (pow a 3) (pow x 5)))>
#<alt (* -1/4 (* (pow a 3) (pow x 5)))>
#<alt (* 1/4 (* (pow a 3) (pow x 5)))>
#<alt (* 1/4 (* (pow a 3) (pow x 5)))>
#<alt (* 1/4 (* (pow a 3) (pow x 5)))>
#<alt (* 1/4 (* (pow a 3) (pow x 5)))>
#<alt (* 1/4 (* (pow a 5) (pow x 3)))>
#<alt (* 1/4 (* (pow a 5) (pow x 3)))>
#<alt (* 1/4 (* (pow a 5) (pow x 3)))>
#<alt (* 1/4 (* (pow a 5) (pow x 3)))>
#<alt (* -1/4 (* (pow a 5) (pow x 3)))>
#<alt (* -1/4 (* (pow a 5) (pow x 3)))>
#<alt (* -1/4 (* (pow a 5) (pow x 3)))>
#<alt (* -1/4 (* (pow a 5) (pow x 3)))>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>

Calls

102 calls:

Time	Variable		Point	Expression
13.0ms	a	@	-inf	(+ (* (* x 1/2) (* (* a x) a)) (* a x))
12.0ms	a	@	0	(* (* x (* x (* x x))) (* (* a a) 1/4))
1.0ms	x	@	-inf	(+ (* (* x 1/2) (* (* a x) a)) (* a x))
1.0ms	a	@	-inf	(* (* x (* x (* x x))) (* (* a a) 1/4))
1.0ms	x	@	inf	(* (- (* x x) (* (* x (* x (* x x))) (* (* a a) 1/4))) a)

Compiler

Compiled 1 216 to 882 computations (27.5% saved)

rewrite453.0ms (6.7%)

Memory

14.6MiB live, 600.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 538×	`lower-fma.f32`
12 532×	`lower-fma.f64`
5 070×	`lower-*.f32`
5 040×	`lower-*.f64`
3 298×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	187
0	55	154
1	192	146
2	1310	146
0	8652	143

Stop Event

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

Counts

20 → 1 778

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x)))) #s(literal -1 binary64)))
(+.f64 (.f64 a x) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)))))
(+.f64 (.f64 a x) (.f64 x (.f64 a (.f64 a (*.f64 x #s(literal 1/2 binary64))))))
(+.f64 (.f64 a x) (.f64 (.f64 a (.f64 a (*.f64 x #s(literal 1/2 binary64)))) x))
(+.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) (*.f64 a x))
(+.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) (.f64 (.f64 a x) #s(literal 1 binary64)))
(+.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) (.f64 #s(literal 1 binary64) (.f64 a x)))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 a (.f64 a (.f64 x x))))) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))) x))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x))) x)))))
(+.f64 (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))) (*.f64 a x))
(+.f64 (.f64 (.f64 a x) #s(literal 1 binary64)) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))))
(+.f64 (.f64 (.f64 a x) #s(literal 1 binary64)) (.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 a x)) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 a x)) (.f64 #s(literal 1 binary64) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x))))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))))) (.f64 #s(literal 1 binary64) (*.f64 a x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)) (.f64 a (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)) (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 a a) #s(literal -1/4 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)) (.f64 a (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 a a) #s(literal -1/4 binary64))) a)))
(+.f64 (.f64 (/.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)) (.f64 x x)) (.f64 (/.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 a a) #s(literal -1/4 binary64)))))
(+.f64 (.f64 (/.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal -1/4 binary64)))) (.f64 (/.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)) (*.f64 x x)))
(+.f64 (.f64 (.f64 (/.f64 a (fma.f64 (.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64))) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x)) (.f64 x x)) (.f64 (.f64 (/.f64 a (fma.f64 (.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64))) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x)) (.f64 (.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64))) (fma.f64 a (.f64 (*.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x)))))
(+.f64 (.f64 (.f64 (/.f64 a (fma.f64 (.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64))) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x)) (.f64 (.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64))) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x)))) (.f64 (.f64 (/.f64 a (fma.f64 (.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64))) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x)) (*.f64 x x)))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x) (/.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x))) x) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x) (/.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x))) (.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)))))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x) (/.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x))) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x) (/.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)) x))) x))
(+.f64 (.f64 (neg.f64 a) (neg.f64 x)) (.f64 (neg.f64 a) (.f64 a (.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(+.f64 (.f64 (neg.f64 a) (.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 a) (neg.f64 x)))
(+.f64 (.f64 (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))) x) (*.f64 a x))
(+.f64 (.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) #s(literal 1 binary64)) (.f64 (*.f64 a x) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 a (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x))) (.f64 (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (*.f64 x x) #s(literal -1/2 binary64)) x))))
(+.f64 (.f64 (.f64 a (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x))) (.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal -1/4 binary64))) a) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (*.f64 x x) #s(literal -1/2 binary64)) x))))
(+.f64 (.f64 (.f64 x x) (/.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal -1/4 binary64))) (/.f64 a (fma.f64 a (.f64 (*.f64 x x) #s(literal -1/2 binary64)) x))))
(+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal -1/4 binary64))) (/.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x))) (.f64 (.f64 x x) (/.f64 a (fma.f64 a (.f64 (*.f64 x x) #s(literal -1/2 binary64)) x))))
(+.f64 (.f64 (.f64 x x) (.f64 (/.f64 a (fma.f64 (.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64))) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x))) (.f64 (.f64 (.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64))) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x))) (.f64 (/.f64 a (fma.f64 (.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64))) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)) x))))
(+.f64 (.f64 (.f64 (.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64))) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x))) (.f64 (/.f64 a (fma.f64 (.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64))) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x))) (.f64 (.f64 x x) (.f64 (/.f64 a (fma.f64 (.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64))) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)) x))))
(+.f64 (.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x) (/.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x)))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x) (/.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)) x)))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x) (/.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x)))) (.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x) (/.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)) x)))))
(+.f64 (.f64 (neg.f64 x) (neg.f64 a)) (.f64 (.f64 a (.f64 (*.f64 x x) #s(literal -1/2 binary64))) (neg.f64 a)))
(+.f64 (.f64 (.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64))) (neg.f64 a)) (*.f64 (neg.f64 x) (neg.f64 a)))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)) x))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 a (.f64 a (.f64 x x))))) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))) x))) (/.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x))) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))) x)) (neg.f64 (.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x))) (neg.f64 (.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)) x))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 a (.f64 a (.f64 x x))))) (.f64 a (fma.f64 a (.f64 (*.f64 x x) #s(literal -1/2 binary64)) x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 a (.f64 a (.f64 x x))))) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x))) x))) #s(literal 1 binary64)))
(fma.f64 a x (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))))
(fma.f64 a x (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(fma.f64 a x (.f64 (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))) x))
(fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))) (.f64 a x))
(fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))) (.f64 (*.f64 a x) #s(literal 1 binary64)))
(fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))) (.f64 #s(literal 1 binary64) (*.f64 a x)))
(fma.f64 x a (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))))
(fma.f64 x a (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(fma.f64 x a (.f64 (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))) x))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a a))) (.f64 a x))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a a))) (.f64 (*.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a a))) (.f64 #s(literal 1 binary64) (*.f64 a x)))
(fma.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))) (.f64 a x))
(fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x) (/.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x) (/.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))) (.f64 (*.f64 a x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))) (.f64 #s(literal 1 binary64) (*.f64 a x)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 a a)) (.f64 a x))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 a a)) (.f64 (*.f64 a x) #s(literal 1 binary64)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 a a)) (.f64 #s(literal 1 binary64) (*.f64 a x)))
(fma.f64 #s(literal 1 binary64) (.f64 a x) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)))))
(fma.f64 #s(literal 1 binary64) (.f64 a x) (.f64 #s(literal 1 binary64) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))))))
(fma.f64 #s(literal 1 binary64) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) (.f64 #s(literal 1 binary64) (.f64 a x)))
(fma.f64 (.f64 a x) #s(literal 1 binary64) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)))))
(fma.f64 (.f64 a x) #s(literal 1 binary64) (.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) #s(literal 1 binary64)))
(fma.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x))
(fma.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 (*.f64 a x) #s(literal 1 binary64)))
(fma.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (*.f64 a x)))
(fma.f64 (.f64 x (.f64 a a)) (.f64 x #s(literal 1/2 binary64)) (.f64 a x))
(fma.f64 (.f64 x (.f64 a a)) (.f64 x #s(literal 1/2 binary64)) (.f64 (*.f64 a x) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 a a)) (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 a x)))
(fma.f64 (.f64 x x) (/.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal -1/4 binary64))) (/.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x))))
(fma.f64 (.f64 x x) (.f64 (/.f64 a (fma.f64 (.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64))) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x)) (.f64 (.f64 (.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64))) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x))) (.f64 (/.f64 a (fma.f64 (.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64))) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x))))
(fma.f64 (.f64 a (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)) (.f64 (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x))))
(fma.f64 (.f64 a (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)) (.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal -1/4 binary64))) a) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x))))
(fma.f64 (.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64))) (neg.f64 a) (.f64 (neg.f64 x) (neg.f64 a)))
(fma.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x) (.f64 a x))
(fma.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x) (.f64 (*.f64 a x) #s(literal 1 binary64)))
(fma.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x) (.f64 #s(literal 1 binary64) (*.f64 a x)))
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simplify419.0ms (6.2%)

Memory

32.8MiB live, 658.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 608×	`lower-fma.f64`
14 608×	`lower-fma.f32`
6 462×	`lower-*.f64`
6 462×	`lower-*.f32`
3 124×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	3752
1	1360	3702
2	3829	3618
0	8678	3422

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 374

Calls

Call 1

Inputs
(* 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) x))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* 1/2 (* a (pow x 2))))
(* 1/2 (* a x))
(* a (+ (* 1/2 x) (/ x a)))
(* a (+ (* 1/2 x) (/ x a)))
(* a (+ (* 1/2 x) (/ x a)))
(* 1/2 (* a x))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* 1/2 (* a x))))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(* 1/2 (* a x))
(* x (+ (* 1/2 a) (/ 1 x)))
(* x (+ (* 1/2 a) (/ 1 x)))
(* x (+ (* 1/2 a) (/ 1 x)))
(* 1/2 (* a x))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* a x)
(* x (+ a (* 1/2 (* (pow a 3) (pow x 2)))))
(* x (+ a (* 1/2 (* (pow a 3) (pow x 2)))))
(* x (+ a (* 1/2 (* (pow a 3) (pow x 2)))))
(* 1/2 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/2 (pow a 3)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* 1/2 (pow a 3)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* 1/2 (pow a 3)) (/ 1 (pow x 2))))
(* 1/2 (* (pow a 6) (pow x 6)))
(* (pow x 6) (+ (* 1/2 (pow a 6)) (/ 1 (pow x 5))))
(* (pow x 6) (+ (* 1/2 (pow a 6)) (/ 1 (pow x 5))))
(* (pow x 6) (+ (* 1/2 (pow a 6)) (/ 1 (pow x 5))))
(* a x)
(* a (+ x (* 1/2 (* (pow a 2) (pow x 3)))))
(* a (+ x (* 1/2 (* (pow a 2) (pow x 3)))))
(* a (+ x (* 1/2 (* (pow a 2) (pow x 3)))))
(* 1/2 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/2 (pow x 3)) (/ x (pow a 2))))
(* (pow a 3) (+ (* 1/2 (pow x 3)) (/ x (pow a 2))))
(* (pow a 3) (+ (* 1/2 (pow x 3)) (/ x (pow a 2))))
(* 1/2 (* (pow a 6) (pow x 6)))
(* (pow a 6) (+ (* 1/2 (pow x 6)) (/ x (pow a 5))))
(* (pow a 6) (+ (* 1/2 (pow x 6)) (/ x (pow a 5))))
(* (pow a 6) (+ (* 1/2 (pow x 6)) (/ x (pow a 5))))
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* a x)
(* a x)
(* a x)
(* a x)
a
a
a
a
a
a
a
a
(* a x)
(* a x)
(* 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 3)))))
(* a (+ x (* 1/2 (* a (pow x 3)))))
(* a (+ x (* 1/2 (* a (pow x 3)))))
(* 1/2 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/2 (pow x 3)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 3)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 3)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 4)))
(* (pow a 2) (+ (* 1/2 (pow x 4)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 4)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 4)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) (pow x 2)))))
(* x (+ a (* 1/2 (* (pow a 2) (pow x 2)))))
(* x (+ a (* 1/2 (* (pow a 2) (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/2 (pow a 2)) (/ a (pow x 2))))
(* (pow x 3) (+ (* 1/2 (pow a 2)) (/ a (pow x 2))))
(* (pow x 3) (+ (* 1/2 (pow a 2)) (/ a (pow x 2))))
(* -1/2 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* 1/2 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* 1/2 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* 1/2 (pow a 2)))))
(/ 1 x)
(+ (* -1/2 (* a (pow x 2))) (/ 1 x))
(+ (* a (- (* 1/4 (* a (pow x 5))) (* 1/2 (pow x 2)))) (/ 1 x))
(+ (* a (- (* a (- (* -1/8 (* a (pow x 8))) (* -1/4 (pow x 5)))) (* 1/2 (pow x 2)))) (/ 1 x))
(/ 2 (* a (pow x 4)))
(/ (- (* 2 (/ 1 (pow x 4))) (* 4 (/ 1 (* a (pow x 7))))) a)
(/ (- (+ (* 2 (/ 1 (pow x 4))) (/ 8 (* (pow a 2) (pow x 10)))) (/ 4 (* a (pow x 7)))) a)
(/ (- (+ (* 8 (/ 1 (* (pow a 2) (pow x 10)))) (* 2 (/ 1 (pow x 4)))) (+ (* 16 (/ 1 (* (pow a 3) (pow x 13)))) (/ 4 (* a (pow x 7))))) a)
(/ 2 (* a (pow x 4)))
(* -1 (/ (- (* 4 (/ 1 (* a (pow x 7)))) (* 2 (/ 1 (pow x 4)))) a))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 10)))) (* 4 (/ 1 (pow x 7)))) a)) (* 2 (/ 1 (pow x 4)))) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* a (pow x 13)))) (* 8 (/ 1 (pow x 10)))) a)) (* 4 (/ 1 (pow x 7)))) a)) (* 2 (/ 1 (pow x 4)))) a))
(/ 1 x)
(/ (+ 1 (* -1/2 (* a (pow x 3)))) x)
(/ (+ 1 (* (pow x 3) (- (* 1/4 (* (pow a 2) (pow x 3))) (* 1/2 a)))) x)
(/ (+ 1 (* (pow x 3) (- (* (pow x 3) (- (* -1/8 (* (pow a 3) (pow x 3))) (* -1/4 (pow a 2)))) (* 1/2 a)))) x)
(/ 2 (* a (pow x 4)))
(/ (- (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) (pow x 3))))) (pow x 4))
(/ (- (+ (* 2 (/ 1 a)) (/ 8 (* (pow a 3) (pow x 6)))) (/ 4 (* (pow a 2) (pow x 3)))) (pow x 4))
(/ (- (+ (* 2 (/ 1 a)) (* 8 (/ 1 (* (pow a 3) (pow x 6))))) (+ (* 16 (/ 1 (* (pow a 4) (pow x 9)))) (/ 4 (* (pow a 2) (pow x 3))))) (pow x 4))
(/ 2 (* a (pow x 4)))
(/ (- (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) (pow x 3))))) (pow x 4))
(/ (+ (* -1 (/ (- (* 4 (/ 1 (pow a 2))) (* 8 (/ 1 (* (pow a 3) (pow x 3))))) (pow x 3))) (* 2 (/ 1 a))) (pow x 4))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow a 3))) (* 16 (/ 1 (* (pow a 4) (pow x 3))))) (pow x 3))) (* 4 (/ 1 (pow a 2)))) (pow x 3))) (* 2 (/ 1 a))) (pow x 4))
x
(+ x (* 1/2 (* a (pow x 3))))
(+ x (* 1/2 (* a (pow x 3))))
(+ x (* 1/2 (* a (pow x 3))))
(* 1/2 (* a (pow x 3)))
(* a (+ (* 1/2 (pow x 3)) (/ x a)))
(* a (+ (* 1/2 (pow x 3)) (/ x a)))
(* a (+ (* 1/2 (pow x 3)) (/ x a)))
(* 1/2 (* a (pow x 3)))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 3)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 3)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 3)))))
x
(* x (+ 1 (* 1/2 (* a (pow x 2)))))
(* x (+ 1 (* 1/2 (* a (pow x 2)))))
(* x (+ 1 (* 1/2 (* a (pow x 2)))))
(* 1/2 (* a (pow x 3)))
(* (pow x 3) (+ (* 1/2 a) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* 1/2 a) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* 1/2 a) (/ 1 (pow x 2))))
(* -1/2 (* a (pow x 3)))
(* -1 (* (pow x 3) (- (* 1/2 a) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (* 1/2 a) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (* 1/2 a) (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (- (* 1/4 (* (pow a 3) x)) (* -1/2 (pow a 2))))))
(* x (+ a (* x (- (* x (- (* 1/8 (* (pow a 4) x)) (* -1/4 (pow a 3)))) (* -1/2 (pow a 2))))))
(* 1/2 (* (pow a 4) (pow x 5)))
(* (pow x 5) (+ (* 1/2 (pow a 4)) (/ (pow a 4) (pow x 2))))
(* (pow x 5) (- (+ (* 1/2 (pow a 4)) (* 2 (/ (pow a 4) (pow x 4)))) (* -1 (/ (pow a 4) (pow x 2)))))
(* (pow x 5) (- (+ (* -2 (/ a (pow x 5))) (* 1/2 (pow a 4))) (+ (* -2 (/ (pow a 4) (pow x 4))) (* -1 (/ (pow a 4) (pow x 2))))))
(* -1/2 (* (pow a 4) (pow x 5)))
(* -1 (* (pow x 5) (+ (* -1 (/ (pow a 4) (pow x 2))) (* 1/2 (pow a 4)))))
(* -1 (* (pow x 5) (- (+ (* 1/2 (pow a 4)) (* 2 (/ (pow a 4) (pow x 4)))) (/ (pow a 4) (pow x 2)))))
(* -1 (* (pow x 5) (- (+ (* 1/2 (pow a 4)) (* 2 (/ a (pow x 5)))) (+ (* -2 (/ (pow a 4) (pow x 4))) (/ (pow a 4) (pow x 2))))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (- (* a (- (* -1/4 (pow x 5)) (* -1/4 (pow x 3)))) (* -1/2 (pow x 2))))))
(* a (+ x (* a (- (* a (- (+ (* -1/4 (pow x 5)) (* 1/2 (* a (* x (- (* -1/4 (pow x 5)) (* -1/4 (pow x 3))))))) (* -1/4 (pow x 3)))) (* -1/2 (pow x 2))))))
(* 1/2 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/2 (pow x 3)) (/ (pow x 2) a)))
(* (pow a 2) (- (+ (* -1 (/ (+ 2 (* -2 x)) (pow a 2))) (* 1/2 (pow x 3))) (* -1 (/ (pow x 2) a))))
(* (pow a 2) (- (+ (* -2 (/ (+ 2 (* -2 x)) (* (pow a 3) x))) (* 1/2 (pow x 3))) (+ (* -2 (/ x (pow a 2))) (+ (* -1 (/ (pow x 2) a)) (/ 2 (pow a 2))))))
(* -1/2 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* 1/2 (pow x 3)) (/ x a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (- (* -1 x) (* 2 (/ 1 (* a x)))) a)) (* 1/2 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 2 (/ 1 a)) (+ (* 2 (/ 1 x)) (/ 4 (* a (pow x 3))))) a))) a)) (* 1/2 (pow x 3)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/4 (* (pow a 2) (pow x 4)))))
(* (pow x 2) (+ 1 (* -1/4 (* (pow a 2) (pow x 4)))))
(* (pow x 2) (+ 1 (* -1/4 (* (pow a 2) (pow x 4)))))
(* -1/4 (* (pow a 3) (pow x 8)))
(* (pow x 8) (- (/ 1 (pow x 5)) (* 1/4 (pow a 3))))
(* (pow x 8) (- (/ 1 (pow x 5)) (* 1/4 (pow a 3))))
(* (pow x 8) (- (/ 1 (pow x 5)) (* 1/4 (pow a 3))))
(* -1/4 (* (pow a 3) (pow x 8)))
(* -1 (* (pow x 8) (+ (* 1/4 (pow a 3)) (/ 1 (pow x 5)))))
(* -1 (* (pow x 8) (+ (* 1/4 (pow a 3)) (/ 1 (pow x 5)))))
(* -1 (* (pow x 8) (+ (* 1/4 (pow a 3)) (/ 1 (pow x 5)))))
(pow x 2)
(+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2))
(+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2))
(+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2))
(* -1/4 (* (pow a 2) (pow x 5)))
(* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))
(* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))
(* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))
(* -1/4 (* (pow a 2) (pow x 5)))
(* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))
(* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))
(* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))
x
(* x (+ 1 (* -1/2 (* a (pow x 2)))))
(* x (+ 1 (* -1/2 (* a (pow x 2)))))
(* x (+ 1 (* -1/2 (* a (pow x 2)))))
(* -1/2 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/2))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
x
(+ x (* -1/2 (* a (pow x 3))))
(+ x (* -1/2 (* a (pow x 3))))
(+ x (* -1/2 (* a (pow x 3))))
(* -1/2 (* a (pow x 3)))
(* a (+ (* -1/2 (pow x 3)) (/ x a)))
(* a (+ (* -1/2 (pow x 3)) (/ x a)))
(* a (+ (* -1/2 (pow x 3)) (/ x a)))
(* -1/2 (* a (pow x 3)))
(* -1 (* a (+ (* -1 (/ x a)) (* 1/2 (pow x 3)))))
(* -1 (* a (+ (* -1 (/ x a)) (* 1/2 (pow x 3)))))
(* -1 (* a (+ (* -1 (/ x a)) (* 1/2 (pow x 3)))))
(* a (pow x 2))
(* (pow x 2) (+ a (* -1/4 (* (pow a 3) (pow x 4)))))
(* (pow x 2) (+ a (* -1/4 (* (pow a 3) (pow x 4)))))
(* (pow x 2) (+ a (* -1/4 (* (pow a 3) (pow x 4)))))
(* -1/4 (* (pow a 4) (pow x 8)))
(* (pow x 8) (+ (* -1/4 (pow a 4)) (/ a (pow x 5))))
(* (pow x 8) (+ (* -1/4 (pow a 4)) (/ a (pow x 5))))
(* (pow x 8) (+ (* -1/4 (pow a 4)) (/ a (pow x 5))))
(* -1/4 (* (pow a 4) (pow x 8)))
(* (pow x 8) (+ (* -1 (/ a (pow x 5))) (* -1/4 (pow a 4))))
(* (pow x 8) (+ (* -1 (/ a (pow x 5))) (* -1/4 (pow a 4))))
(* (pow x 8) (+ (* -1 (/ a (pow x 5))) (* -1/4 (pow a 4))))
(* a (pow x 2))
(* a (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2)))
(* a (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2)))
(* a (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2)))
(* -1/4 (* (pow a 3) (pow x 5)))
(* (pow a 3) (+ (* -1/4 (pow x 5)) (/ (pow x 2) (pow a 2))))
(* (pow a 3) (+ (* -1/4 (pow x 5)) (/ (pow x 2) (pow a 2))))
(* (pow a 3) (+ (* -1/4 (pow x 5)) (/ (pow x 2) (pow a 2))))
(* 1/4 (* (pow a 4) (pow x 6)))
(* (pow a 4) (+ (* 1/4 (pow x 6)) (/ (pow x 3) (pow a 3))))
(* (pow a 4) (+ (* 1/4 (pow x 6)) (/ (pow x 3) (pow a 3))))
(* (pow a 4) (+ (* 1/4 (pow x 6)) (/ (pow x 3) (pow a 3))))
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/4 (* (pow a 3) (pow x 5)))
(* 1/4 (* (pow a 3) (pow x 5)))
(* 1/4 (* (pow a 3) (pow x 5)))
(* 1/4 (* (pow a 3) (pow x 5)))
(* 1/4 (* (pow a 3) (pow x 5)))
(* 1/4 (* (pow a 3) (pow x 5)))
(* 1/4 (* (pow a 3) (pow x 5)))
(* 1/4 (* (pow a 3) (pow x 5)))
(* -1/4 (* (pow a 3) (pow x 5)))
(* -1/4 (* (pow a 3) (pow x 5)))
(* -1/4 (* (pow a 3) (pow x 5)))
(* -1/4 (* (pow a 3) (pow x 5)))
(* 1/4 (* (pow a 3) (pow x 5)))
(* 1/4 (* (pow a 3) (pow x 5)))
(* 1/4 (* (pow a 3) (pow x 5)))
(* 1/4 (* (pow a 3) (pow x 5)))
(* 1/4 (* (pow a 5) (pow x 3)))
(* 1/4 (* (pow a 5) (pow x 3)))
(* 1/4 (* (pow a 5) (pow x 3)))
(* 1/4 (* (pow a 5) (pow x 3)))
(* -1/4 (* (pow a 5) (pow x 3)))
(* -1/4 (* (pow a 5) (pow x 3)))
(* -1/4 (* (pow a 5) (pow x 3)))
(* -1/4 (* (pow a 5) (pow x 3)))
a
a
a
a
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* 1/2 (* (pow a 2) x))
(.f64 x (.f64 a (*.f64 a #s(literal 1/2 binary64))))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(.f64 (.f64 a a) (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a)))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(.f64 (.f64 a a) (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a)))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(.f64 (.f64 a a) (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a)))
(* 1/2 (* (pow a 2) x))
(.f64 x (.f64 a (*.f64 a #s(literal 1/2 binary64))))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(.f64 (.f64 a a) (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a)))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(.f64 (.f64 a a) (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a)))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(.f64 (.f64 a a) (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a)))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 a (.f64 a #s(literal 1/2 binary64)))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 a (.f64 a #s(literal 1/2 binary64)))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
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(* -1 (* a (+ (* -1 (/ x a)) (* 1/2 (pow x 3)))))
(.f64 a (fma.f64 x (.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 x a)))
(* -1 (* a (+ (* -1 (/ x a)) (* 1/2 (pow x 3)))))
(.f64 a (fma.f64 x (.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 x a)))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* (pow x 2) (+ a (* -1/4 (* (pow a 3) (pow x 4)))))
(.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) a) x) x)
(* (pow x 2) (+ a (* -1/4 (* (pow a 3) (pow x 4)))))
(.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) a) x) x)
(* (pow x 2) (+ a (* -1/4 (* (pow a 3) (pow x 4)))))
(.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) a) x) x)
(* -1/4 (* (pow a 4) (pow x 8)))
(.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 4 binary64))))
(* (pow x 8) (+ (* -1/4 (pow a 4)) (/ a (pow x 5))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 4 binary64)) (/.f64 a (pow.f64 x #s(literal 5 binary64)))))
(* (pow x 8) (+ (* -1/4 (pow a 4)) (/ a (pow x 5))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 4 binary64)) (/.f64 a (pow.f64 x #s(literal 5 binary64)))))
(* (pow x 8) (+ (* -1/4 (pow a 4)) (/ a (pow x 5))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 4 binary64)) (/.f64 a (pow.f64 x #s(literal 5 binary64)))))
(* -1/4 (* (pow a 4) (pow x 8)))
(.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 4 binary64))))
(* (pow x 8) (+ (* -1 (/ a (pow x 5))) (* -1/4 (pow a 4))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 a (pow.f64 x #s(literal 5 binary64)))))
(* (pow x 8) (+ (* -1 (/ a (pow x 5))) (* -1/4 (pow a 4))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 a (pow.f64 x #s(literal 5 binary64)))))
(* (pow x 8) (+ (* -1 (/ a (pow x 5))) (* -1/4 (pow a 4))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 a (pow.f64 x #s(literal 5 binary64)))))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2)))
(.f64 a (fma.f64 (.f64 a a) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 x x)))
(* a (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2)))
(.f64 a (fma.f64 (.f64 a a) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 x x)))
(* a (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2)))
(.f64 a (fma.f64 (.f64 a a) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 x x)))
(* -1/4 (* (pow a 3) (pow x 5)))
(.f64 a (.f64 #s(literal -1/4 binary64) (.f64 a (.f64 a (pow.f64 x #s(literal 5 binary64))))))
(* (pow a 3) (+ (* -1/4 (pow x 5)) (/ (pow x 2) (pow a 2))))
(.f64 (.f64 a a) (.f64 a (fma.f64 x (/.f64 x (.f64 a a)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/4 binary64)))))
(* (pow a 3) (+ (* -1/4 (pow x 5)) (/ (pow x 2) (pow a 2))))
(.f64 (.f64 a a) (.f64 a (fma.f64 x (/.f64 x (.f64 a a)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/4 binary64)))))
(* (pow a 3) (+ (* -1/4 (pow x 5)) (/ (pow x 2) (pow a 2))))
(.f64 (.f64 a a) (.f64 a (fma.f64 x (/.f64 x (.f64 a a)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/4 binary64)))))
(* 1/4 (* (pow a 4) (pow x 6)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))))
(* (pow a 4) (+ (* 1/4 (pow x 6)) (/ (pow x 3) (pow a 3))))
(.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (.f64 x x) (/.f64 x (.f64 a (.f64 a a))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64))))
(* (pow a 4) (+ (* 1/4 (pow x 6)) (/ (pow x 3) (pow a 3))))
(.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (.f64 x x) (/.f64 x (.f64 a (.f64 a a))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64))))
(* (pow a 4) (+ (* 1/4 (pow x 6)) (/ (pow x 3) (pow a 3))))
(.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (.f64 x x) (/.f64 x (.f64 a (.f64 a a))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64))))
x
x
x
x
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
x
x
x
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
x
x
x
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/4 (* (pow a 3) (pow x 5)))
(.f64 (.f64 a (.f64 a a)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* 1/4 (* (pow a 3) (pow x 5)))
(.f64 (.f64 a (.f64 a a)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* 1/4 (* (pow a 3) (pow x 5)))
(.f64 (.f64 a (.f64 a a)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* 1/4 (* (pow a 3) (pow x 5)))
(.f64 (.f64 a (.f64 a a)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* 1/4 (* (pow a 3) (pow x 5)))
(.f64 (.f64 a (.f64 a a)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* 1/4 (* (pow a 3) (pow x 5)))
(.f64 (.f64 a (.f64 a a)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* 1/4 (* (pow a 3) (pow x 5)))
(.f64 (.f64 a (.f64 a a)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* 1/4 (* (pow a 3) (pow x 5)))
(.f64 (.f64 a (.f64 a a)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* -1/4 (* (pow a 3) (pow x 5)))
(.f64 a (.f64 #s(literal -1/4 binary64) (.f64 a (.f64 a (pow.f64 x #s(literal 5 binary64))))))
(* -1/4 (* (pow a 3) (pow x 5)))
(.f64 a (.f64 #s(literal -1/4 binary64) (.f64 a (.f64 a (pow.f64 x #s(literal 5 binary64))))))
(* -1/4 (* (pow a 3) (pow x 5)))
(.f64 a (.f64 #s(literal -1/4 binary64) (.f64 a (.f64 a (pow.f64 x #s(literal 5 binary64))))))
(* -1/4 (* (pow a 3) (pow x 5)))
(.f64 a (.f64 #s(literal -1/4 binary64) (.f64 a (.f64 a (pow.f64 x #s(literal 5 binary64))))))
(* 1/4 (* (pow a 3) (pow x 5)))
(.f64 (.f64 a (.f64 a a)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* 1/4 (* (pow a 3) (pow x 5)))
(.f64 (.f64 a (.f64 a a)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* 1/4 (* (pow a 3) (pow x 5)))
(.f64 (.f64 a (.f64 a a)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* 1/4 (* (pow a 3) (pow x 5)))
(.f64 (.f64 a (.f64 a a)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* 1/4 (* (pow a 5) (pow x 3)))
(.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4 binary64)))
(* 1/4 (* (pow a 5) (pow x 3)))
(.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4 binary64)))
(* 1/4 (* (pow a 5) (pow x 3)))
(.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4 binary64)))
(* 1/4 (* (pow a 5) (pow x 3)))
(.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4 binary64)))
(* -1/4 (* (pow a 5) (pow x 3)))
(.f64 (.f64 x (.f64 x x)) (.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1/4 binary64)))
(* -1/4 (* (pow a 5) (pow x 3)))
(.f64 (.f64 x (.f64 x x)) (.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1/4 binary64)))
(* -1/4 (* (pow a 5) (pow x 3)))
(.f64 (.f64 x (.f64 x x)) (.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1/4 binary64)))
(* -1/4 (* (pow a 5) (pow x 3)))
(.f64 (.f64 x (.f64 x x)) (.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1/4 binary64)))
a
a
a
a
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)

eval568.0ms (8.4%)

Memory: -45.6MiB live, 380.0MiB allocated
Compiler: Compiled 72 775 to 3 581 computations (95.1% saved)

prune331.0ms (4.9%)

Memory

13.0MiB live, 252.3MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	2 212	12	2 224
Fresh	2	4	6
Picked	4	1	5
Done	0	2	2
Total	2 218	19	2 237

Accuracy

100.0%

Counts

2 237 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.9%	(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a a) (*.f64 a x))
▶	64.6%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x) (/.f64 #s(literal 1 binary64) a))
	36.2%	(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) a) (fma.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) x x))
▶	38.4%	(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) a) (+.f64 x (.f64 (.f64 a (.f64 x x)) #s(literal -1/2 binary64))))
	44.7%	(/.f64 (.f64 (.f64 x x) a) (+.f64 x (.f64 (.f64 a (*.f64 x x)) #s(literal -1/2 binary64))))
	61.2%	(/.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
▶	69.3%	(/.f64 a (/.f64 #s(literal 1 binary64) x))
	63.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)) x))))
	68.5%	(.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 a x))
	36.1%	(.f64 (.f64 a a) (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a)))
	43.1%	(.f64 a (fma.f64 (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) (/.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (neg.f64 x))))))
	48.1%	(.f64 a (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
	58.8%	(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (.f64 x x) (*.f64 x x))) x))
▶	51.9%	(.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
▶	43.7%	(.f64 a (.f64 a (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))))
	20.7%	(.f64 a (.f64 a (.f64 x (.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
✓	69.6%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	20.6%	#s(literal 0 binary64)

Compiler

Compiled 556 to 312 computations (43.9% saved)

simplify295.0ms (4.4%)

Memory

-10.3MiB live, 311.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 a a) #s(literal 1/4 binary64)))) a)
✓	cost-diff	128	(+.f64 x (.f64 (.f64 a (*.f64 x x)) #s(literal -1/2 binary64)))
✓	cost-diff	448	(-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))))
✓	cost-diff	640	(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) a) (+.f64 x (.f64 (.f64 a (.f64 x x)) #s(literal -1/2 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 a (.f64 x x))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x)
✓	cost-diff	1088	(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x) (/.f64 #s(literal 1 binary64) a))
✓	cost-diff	0	(/.f64 x a)
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))
✓	cost-diff	0	(.f64 a (.f64 a (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))))
✓	cost-diff	704	(*.f64 a (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a)))
✓	cost-diff	0	(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
✓	cost-diff	0	(.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	1088	(/.f64 a (/.f64 #s(literal 1 binary64) x))

Rules

5 280×	`lower-*.f32`
5 258×	`lower-*.f64`
5 230×	`lower-fma.f32`
5 224×	`lower-fma.f64`
3 214×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	209
0	55	195
1	108	191
2	266	191
3	715	191
4	1446	187
5	3496	187
6	6197	187
0	8091	182

Stop Event

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

Calls

Call 1

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

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

localize95.0ms (1.4%)

Memory

16.6MiB live, 173.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	4.2%	(.f64 (.f64 a a) #s(literal 1/4 binary64))
✓	accuracy	3.7%	(-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))))
✓	accuracy	2.8%	(*.f64 x x)
✓	accuracy	2.0%	(.f64 (.f64 a (*.f64 x x)) #s(literal -1/2 binary64))
✓	accuracy	8.3%	(fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x)
✓	accuracy	3.7%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x) (/.f64 #s(literal 1 binary64) a))
✓	accuracy	2.8%	(*.f64 x x)
✓	accuracy	2.8%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	99.9%	(.f64 a (.f64 a (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))))
✓	accuracy	48.0%	(*.f64 a (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a)))
✓	accuracy	3.8%	(fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))
✓	accuracy	2.9%	(/.f64 x a)
✓	accuracy	100.0%	(*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
✓	accuracy	9.1%	(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	2.5%	(.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
✓	accuracy	4.7%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	3.1%	(/.f64 a (/.f64 #s(literal 1 binary64) x))

Samples

56.0ms

256×

valid

Compiler

Compiled 430 to 63 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 21.0ms (55.7% of total)

ival-div: 10.0ms (26.5% of total)

ival-add: 5.0ms (13.3% of total)

ival-sub: 1.0ms (2.7% of total)

exact: 1.0ms (2.7% of total)

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

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

series55.0ms (0.8%)

Memory

-4.1MiB live, 114.8MiB allocated

Counts

20 → 420

Calls

Call 1

Inputs
#<alt (/.f64 a (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) x))>
#<alt (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) x)>
#<alt (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))>
#<alt (*.f64 a (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a)))>
#<alt (.f64 a (.f64 a (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))))>
#<alt (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))>
#<alt (/.f64 x a)>
#<alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x) (/.f64 #s(literal 1 binary64) a))>
#<alt (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)) x)>
#<alt (.f64 a (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) a) (+.f64 x (.f64 (.f64 a (.f64 x x)) #s(literal -1/2 binary64))))>
#<alt (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))))>
#<alt (+.f64 x (.f64 (.f64 a (*.f64 x x)) #s(literal -1/2 binary64)))>
#<alt (.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 a a) #s(literal 1/4 binary64)))) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (.f64 (.f64 a (*.f64 x x)) #s(literal -1/2 binary64))>
#<alt (.f64 (.f64 a a) #s(literal 1/4 binary64))>

Outputs
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt 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 (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a x))))>
#<alt (* a (+ x (* 1/2 (* a x))))>
#<alt (* a (+ x (* 1/2 (* a x))))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ x a)))>
#<alt (* a (* x (+ 1 (* 1/2 a))))>
#<alt (* a (* x (+ 1 (* 1/2 a))))>
#<alt (* a (* x (+ 1 (* 1/2 a))))>
#<alt (* a (* x (+ 1 (* 1/2 a))))>
#<alt (* a (* x (+ 1 (* 1/2 a))))>
#<alt (* a (* x (+ 1 (* 1/2 a))))>
#<alt (* a (* x (+ 1 (* 1/2 a))))>
#<alt (* a (* x (+ 1 (* 1/2 a))))>
#<alt (* a (* x (+ 1 (* 1/2 a))))>
#<alt (* a (* x (+ 1 (* 1/2 a))))>
#<alt (* a (* x (+ 1 (* 1/2 a))))>
#<alt (* a (* x (+ 1 (* 1/2 a))))>
#<alt x>
#<alt (+ x (* 1/2 (* a x)))>
#<alt (+ x (* 1/2 (* a x)))>
#<alt (+ x (* 1/2 (* a x)))>
#<alt (* 1/2 (* a x))>
#<alt (* a (+ (* 1/2 x) (/ x a)))>
#<alt (* a (+ (* 1/2 x) (/ x a)))>
#<alt (* a (+ (* 1/2 x) (/ x a)))>
#<alt (* 1/2 (* a x))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))>
#<alt (* x (+ 1 (* 1/2 a)))>
#<alt (* x (+ 1 (* 1/2 a)))>
#<alt (* x (+ 1 (* 1/2 a)))>
#<alt (* x (+ 1 (* 1/2 a)))>
#<alt (* x (+ 1 (* 1/2 a)))>
#<alt (* x (+ 1 (* 1/2 a)))>
#<alt (* x (+ 1 (* 1/2 a)))>
#<alt (* x (+ 1 (* 1/2 a)))>
#<alt (* x (+ 1 (* 1/2 a)))>
#<alt (* x (+ 1 (* 1/2 a)))>
#<alt (* x (+ 1 (* 1/2 a)))>
#<alt (* x (+ 1 (* 1/2 a)))>
#<alt 1>
#<alt (+ 1 (* 1/2 a))>
#<alt (+ 1 (* 1/2 a))>
#<alt (+ 1 (* 1/2 a))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (* 1/2 (* a x))>
#<alt (* a (+ (* 1/2 x) (/ x a)))>
#<alt (* a (+ (* 1/2 x) (/ x a)))>
#<alt (* a (+ (* 1/2 x) (/ x a)))>
#<alt (* 1/2 (* a x))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (* a (* x (+ 1/2 (/ 1 a))))>
#<alt (* a (* x (+ 1/2 (/ 1 a))))>
#<alt (* a (* x (+ 1/2 (/ 1 a))))>
#<alt (* a (* x (+ 1/2 (/ 1 a))))>
#<alt (* a (* x (+ 1/2 (/ 1 a))))>
#<alt (* a (* x (+ 1/2 (/ 1 a))))>
#<alt (* a (* x (+ 1/2 (/ 1 a))))>
#<alt (* a (* x (+ 1/2 (/ 1 a))))>
#<alt a>
#<alt (* a (+ 1 (* 1/2 (* a x))))>
#<alt (* a (+ 1 (* 1/2 (* a x))))>
#<alt (* a (+ 1 (* 1/2 (* a x))))>
#<alt (* 1/2 (* (pow a 6) x))>
#<alt (* (pow a 6) (+ (* 1/2 x) (/ x a)))>
#<alt (* (pow a 6) (+ (* 1/2 x) (/ x a)))>
#<alt (* (pow a 6) (+ (* 1/2 x) (/ x a)))>
#<alt (* 1/2 (* (pow a 8) x))>
#<alt (* (pow a 8) (+ (* 1/2 x) (/ x a)))>
#<alt (* (pow a 8) (+ (* 1/2 x) (/ x a)))>
#<alt (* (pow a 8) (+ (* 1/2 x) (/ x a)))>
#<alt a>
#<alt (+ a (* 1/2 (* (pow a 2) x)))>
#<alt (+ a (* 1/2 (* (pow a 2) x)))>
#<alt (+ a (* 1/2 (* (pow a 2) x)))>
#<alt (* (pow a 2) (* x (+ 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (* x (+ 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (* x (+ 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (* x (+ 1/2 (/ 1 a))))>
#<alt (* (pow a 3) (* x (+ 1/2 (/ 1 a))))>
#<alt (* (pow a 3) (* x (+ 1/2 (/ 1 a))))>
#<alt (* (pow a 3) (* x (+ 1/2 (/ 1 a))))>
#<alt (* (pow a 3) (* x (+ 1/2 (/ 1 a))))>
#<alt (* x (+ 1/2 (/ 1 a)))>
#<alt (* x (+ 1/2 (/ 1 a)))>
#<alt (* x (+ 1/2 (/ 1 a)))>
#<alt (* x (+ 1/2 (/ 1 a)))>
#<alt (* x (+ 1/2 (/ 1 a)))>
#<alt (* x (+ 1/2 (/ 1 a)))>
#<alt (* x (+ 1/2 (/ 1 a)))>
#<alt (* x (+ 1/2 (/ 1 a)))>
#<alt (* x (+ 1/2 (/ 1 a)))>
#<alt (* x (+ 1/2 (/ 1 a)))>
#<alt (* x (+ 1/2 (/ 1 a)))>
#<alt (* x (+ 1/2 (/ 1 a)))>
#<alt (/ x a)>
#<alt (/ (+ x (* 1/2 (* a x))) a)>
#<alt (/ (+ x (* 1/2 (* a x))) a)>
#<alt (/ (+ x (* 1/2 (* a x))) a)>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (/ x a))>
#<alt (+ (* 1/2 x) (/ x a))>
#<alt (+ (* 1/2 x) (/ x a))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (/ x a))>
#<alt (+ (* 1/2 x) (/ x a))>
#<alt (+ (* 1/2 x) (/ x a))>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 3)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 3)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 3)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 3)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 3)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 3)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 4)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 4)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 4)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 4)) (/ x a)))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) (pow x 2)))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) (pow x 2)))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/2 (pow a 2)) (/ a (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/2 (pow a 2)) (/ a (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/2 (pow a 2)) (/ a (pow x 2))))>
#<alt (* -1/2 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* 1/2 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* 1/2 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* 1/2 (pow a 2)))))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 3))))>
#<alt (+ x (* 1/2 (* a (pow x 3))))>
#<alt (+ x (* 1/2 (* a (pow x 3))))>
#<alt (* 1/2 (* a (pow x 3)))>
#<alt (* a (+ (* 1/2 (pow x 3)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 3)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 3)) (/ x a)))>
#<alt (* 1/2 (* a (pow x 3)))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 3)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 3)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 3)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (* a (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* a (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/2 a) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/2 a) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/2 a) (/ 1 (pow x 2))))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 a) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 a) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 a) (/ 1 (pow x 2)))))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 3))>
#<alt (* a (pow x 3))>
#<alt (* a (pow x 3))>
#<alt (* a (pow x 3))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (- (* 1/4 (* (pow a 3) x)) (* -1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (- (* x (- (* 1/8 (* (pow a 4) x)) (* -1/4 (pow a 3)))) (* -1/2 (pow a 2))))))>
#<alt (* 1/2 (* (pow a 4) (pow x 5)))>
#<alt (* (pow x 5) (+ (* 1/2 (pow a 4)) (/ (pow a 4) (pow x 2))))>
#<alt (* (pow x 5) (- (+ (* 1/2 (pow a 4)) (* 2 (/ (pow a 4) (pow x 4)))) (* -1 (/ (pow a 4) (pow x 2)))))>
#<alt (* (pow x 5) (- (+ (* -2 (/ a (pow x 5))) (* 1/2 (pow a 4))) (+ (* -2 (/ (pow a 4) (pow x 4))) (* -1 (/ (pow a 4) (pow x 2))))))>
#<alt (* 1/2 (* (pow a 4) (pow x 5)))>
#<alt (* -1 (* (pow x 5) (+ (* -1/2 (pow a 4)) (/ (pow a 4) (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (+ (* -2 (/ (pow a 4) (pow x 4))) (* -1/2 (pow a 4))) (* -1 (/ (pow a 4) (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ (* -1/2 (pow a 4)) (* 2 (/ a (pow x 5)))) (+ (* -1 (/ (pow a 4) (pow x 2))) (* 2 (/ (pow a 4) (pow x 4)))))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (- (* a (- (* -1/4 (pow x 5)) (* -1/4 (pow x 3)))) (* -1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (- (* a (- (+ (* -1/4 (pow x 5)) (* 1/2 (* a (* x (- (* -1/4 (pow x 5)) (* -1/4 (pow x 3))))))) (* -1/4 (pow x 3)))) (* -1/2 (pow x 2))))))>
#<alt (* 1/2 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 3)) (/ (pow x 2) a)))>
#<alt (* (pow a 2) (- (+ (* -1 (/ (+ 2 (* -2 x)) (pow a 2))) (* 1/2 (pow x 3))) (* -1 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (- (+ (* -2 (/ (+ 2 (* -2 x)) (* (pow a 3) x))) (* 1/2 (pow x 3))) (+ (* -2 (/ x (pow a 2))) (+ (* -1 (/ (pow x 2) a)) (/ 2 (pow a 2))))))>
#<alt (* -1/2 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* 1/2 (pow x 3)) (/ x a))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (- (* -1 x) (* 2 (/ 1 (* a x)))) a)) (* 1/2 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 2 (/ 1 a)) (+ (* 2 (/ 1 x)) (/ 4 (* a (pow x 3))))) a))) a)) (* 1/2 (pow x 3)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/4 (* (pow a 2) (pow x 4)))))>
#<alt (* (pow x 2) (+ 1 (* -1/4 (* (pow a 2) (pow x 4)))))>
#<alt (* (pow x 2) (+ 1 (* -1/4 (* (pow a 2) (pow x 4)))))>
#<alt (* -1/4 (* (pow a 3) (pow x 8)))>
#<alt (* (pow x 8) (- (/ 1 (pow x 5)) (* 1/4 (pow a 3))))>
#<alt (* (pow x 8) (- (/ 1 (pow x 5)) (* 1/4 (pow a 3))))>
#<alt (* (pow x 8) (- (/ 1 (pow x 5)) (* 1/4 (pow a 3))))>
#<alt (* 1/4 (* (pow a 3) (pow x 8)))>
#<alt (* -1 (* (pow x 8) (+ (* -1/4 (pow a 3)) (/ 1 (pow x 5)))))>
#<alt (* -1 (* (pow x 8) (+ (* -1/4 (pow a 3)) (/ 1 (pow x 5)))))>
#<alt (* -1 (* (pow x 8) (+ (* -1/4 (pow a 3)) (/ 1 (pow x 5)))))>
#<alt (pow x 2)>
#<alt (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2))>
#<alt (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2))>
#<alt (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2))>
#<alt (* -1/4 (* (pow a 2) (pow x 5)))>
#<alt (* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))>
#<alt (* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))>
#<alt (* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))>
#<alt (* -1/4 (* (pow a 2) (pow x 5)))>
#<alt (* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))>
#<alt (* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))>
#<alt (* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (* a (pow x 2)))))>
#<alt (* x (+ 1 (* -1/2 (* a (pow x 2)))))>
#<alt (* x (+ 1 (* -1/2 (* a (pow x 2)))))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))>
#<alt x>
#<alt (+ x (* -1/2 (* a (pow x 3))))>
#<alt (+ x (* -1/2 (* a (pow x 3))))>
#<alt (+ x (* -1/2 (* a (pow x 3))))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* a (+ (* -1/2 (pow x 3)) (/ x a)))>
#<alt (* a (+ (* -1/2 (pow x 3)) (/ x a)))>
#<alt (* a (+ (* -1/2 (pow x 3)) (/ x a)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* 1/2 (pow x 3)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* 1/2 (pow x 3)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* 1/2 (pow x 3)))))>
#<alt (* a (pow x 2))>
#<alt (* (pow x 2) (+ a (* -1/4 (* (pow a 3) (pow x 4)))))>
#<alt (* (pow x 2) (+ a (* -1/4 (* (pow a 3) (pow x 4)))))>
#<alt (* (pow x 2) (+ a (* -1/4 (* (pow a 3) (pow x 4)))))>
#<alt (* -1/4 (* (pow a 4) (pow x 8)))>
#<alt (* (pow x 8) (+ (* -1/4 (pow a 4)) (/ a (pow x 5))))>
#<alt (* (pow x 8) (+ (* -1/4 (pow a 4)) (/ a (pow x 5))))>
#<alt (* (pow x 8) (+ (* -1/4 (pow a 4)) (/ a (pow x 5))))>
#<alt (* 1/4 (* (pow a 4) (pow x 8)))>
#<alt (* (pow x 8) (+ (* -1 (/ a (pow x 5))) (* 1/4 (pow a 4))))>
#<alt (* (pow x 8) (+ (* -1 (/ a (pow x 5))) (* 1/4 (pow a 4))))>
#<alt (* (pow x 8) (+ (* -1 (/ a (pow x 5))) (* 1/4 (pow a 4))))>
#<alt (* a (pow x 2))>
#<alt (* a (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2)))>
#<alt (* a (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2)))>
#<alt (* a (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2)))>
#<alt (* -1/4 (* (pow a 3) (pow x 5)))>
#<alt (* (pow a 3) (+ (* -1/4 (pow x 5)) (/ (pow x 2) (pow a 2))))>
#<alt (* (pow a 3) (+ (* -1/4 (pow x 5)) (/ (pow x 2) (pow a 2))))>
#<alt (* (pow a 3) (+ (* -1/4 (pow x 5)) (/ (pow x 2) (pow a 2))))>
#<alt (* 1/4 (* (pow a 4) (pow x 6)))>
#<alt (* (pow a 4) (+ (* 1/4 (pow x 6)) (/ (pow x 3) (pow a 3))))>
#<alt (* (pow a 4) (+ (* 1/4 (pow x 6)) (/ (pow x 3) (pow a 3))))>
#<alt (* (pow a 4) (+ (* 1/4 (pow x 6)) (/ (pow x 3) (pow a 3))))>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* -1/2 (* a (pow x 3)))>
#<alt (* 1/2 (* a (pow x 3)))>
#<alt (* 1/2 (* a (pow x 3)))>
#<alt (* 1/2 (* a (pow x 3)))>
#<alt (* 1/2 (* a (pow x 3)))>
#<alt (* 1/4 (pow a 2))>
#<alt (* 1/4 (pow a 2))>
#<alt (* 1/4 (pow a 2))>
#<alt (* 1/4 (pow a 2))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>

Calls

105 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	(+ (* x 1/2) (/ x a))
2.0ms	a	@	0	(* a (+ (* x 1/2) (/ x a)))
1.0ms	a	@	0	(* (* a (* x x)) -1/2)
1.0ms	x	@	-inf	(* a (* a (+ (* x 1/2) (/ x a))))
1.0ms	x	@	-inf	(* (- (* x x) (* (* x (* x x)) (* (* a a) 1/4))) a)

Compiler

Compiled 1 211 to 863 computations (28.7% saved)

rewrite352.0ms (5.2%)

Memory

20.8MiB live, 529.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 602×	`lower-fma.f32`
9 596×	`lower-fma.f64`
4 774×	`lower-*.f32`
4 752×	`lower-*.f64`
3 778×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	164
0	55	154
1	204	150
2	1456	144
0	8675	142

Stop Event

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

Counts

20 → 936

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 a x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 a (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 a (neg.f64 x)))
(neg.f64 (*.f64 a (neg.f64 x)))
(/.f64 a (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)))))
(/.f64 x (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(/.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 a x) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 a x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1 binary64))
(pow.f64 (*.f64 a x) #s(literal 1 binary64))
(*.f64 a x)
(.f64 #s(literal 1 binary64) (.f64 a x))
(*.f64 x a)
(.f64 #s(literal -1 binary64) (.f64 a (neg.f64 x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)))))
(*.f64 (neg.f64 a) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 a))
(.f64 (.f64 a x) #s(literal 1 binary64))
(*.f64 (/.f64 a (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 a (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (neg.f64 a) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(+.f64 (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))) (.f64 a x))
(+.f64 (.f64 (.f64 a a) (/.f64 x a)) (.f64 (.f64 a a) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 a a) (.f64 x #s(literal 1/2 binary64))) (.f64 (*.f64 a a) (/.f64 x a)))
(+.f64 (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) a) (.f64 a x))
(+.f64 (.f64 (/.f64 x a) (.f64 a a)) (.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 a a)))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a a)) (.f64 (/.f64 x a) (*.f64 a a)))
(fma.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))) (*.f64 a x))
(fma.f64 (/.f64 x a) (.f64 a a) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a a)))
(fma.f64 (.f64 a a) (/.f64 x a) (.f64 (.f64 a a) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 (.f64 a a) (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 a a) (/.f64 x a)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a a) (.f64 (/.f64 x a) (.f64 a a)))
(fma.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) a (*.f64 a x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x a) (+.f64 (/.f64 x a) (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 (.f64 a a) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 a (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 x (neg.f64 a))) (.f64 (.f64 a a) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (.f64 x x) (.f64 a a))))))
(/.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))))
(/.f64 (*.f64 a x) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (.f64 a a) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a a))))) (fma.f64 (/.f64 x a) (+.f64 (/.f64 x a) (.f64 x #s(literal -1/2 binary64))) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (.f64 (.f64 a a) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (.f64 x x) (.f64 a a)))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 x (neg.f64 a))))
(/.f64 (neg.f64 (.f64 (.f64 a a) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a a)))))) (neg.f64 (fma.f64 (/.f64 x a) (+.f64 (/.f64 x a) (.f64 x #s(literal -1/2 binary64))) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 a a) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (.f64 x x) (.f64 a a))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 x (neg.f64 a)))))
(/.f64 (+.f64 (pow.f64 (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (fma.f64 (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))) (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 x x) (.f64 a a)) (.f64 (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))) (.f64 a x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 a a) (/.f64 x a)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 a a) (.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 a a) (/.f64 x a)) (.f64 (.f64 a a) (/.f64 x a)) (-.f64 (.f64 (.f64 (.f64 a a) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 a a) (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 a a) (/.f64 x a)) (.f64 (.f64 a a) (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 a a) (.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 a a) (/.f64 x a)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 a a) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 a a) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (.f64 a a) (/.f64 x a)) (.f64 (.f64 a a) (/.f64 x a))) (.f64 (.f64 (.f64 a a) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 a a) (/.f64 x a))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) a) #s(literal 3 binary64)) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) a) (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) a) (-.f64 (.f64 (.f64 x x) (.f64 a a)) (.f64 (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) a) (.f64 a x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x a) (.f64 a a)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a a)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 x a) (.f64 a a)) (.f64 (/.f64 x a) (.f64 a a)) (-.f64 (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a a)) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a a))) (.f64 (.f64 (/.f64 x a) (.f64 a a)) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a a))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a a)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x a) (.f64 a a)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a a)) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a a)) (-.f64 (.f64 (.f64 (/.f64 x a) (.f64 a a)) (.f64 (/.f64 x a) (.f64 a a))) (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a a)) (.f64 (/.f64 x a) (.f64 a a))))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))) (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 x x) (.f64 a a))) (-.f64 (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))) (.f64 a x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a a) (/.f64 x a)) (.f64 (.f64 a a) (/.f64 x a))) (.f64 (.f64 (.f64 a a) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 a a) (.f64 x #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 a a) (/.f64 x a)) (.f64 (.f64 a a) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a a) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 a a) (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 a a) (/.f64 x a)) (.f64 (.f64 a a) (/.f64 x a)))) (-.f64 (.f64 (.f64 a a) (.f64 x #s(literal 1/2 binary64))) (.f64 (*.f64 a a) (/.f64 x a))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) a) (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) a)) (.f64 (.f64 x x) (.f64 a a))) (-.f64 (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) a) (.f64 a x)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 x a) (.f64 a a)) (.f64 (/.f64 x a) (.f64 a a))) (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a a)) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a a)))) (-.f64 (.f64 (/.f64 x a) (.f64 a a)) (.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 a a))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a a)) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a a))) (.f64 (.f64 (/.f64 x a) (.f64 a a)) (.f64 (/.f64 x a) (.f64 a a)))) (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a a)) (.f64 (/.f64 x a) (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) a))
(.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 a x))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a)) (.f64 a a))
(.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x) a)
(.f64 (.f64 a a) (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a)))
(.f64 (.f64 a x) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 (fma.f64 a (.f64 a #s(literal 1/2 binary64)) a) x)
(.f64 (.f64 (.f64 a a) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x a) (+.f64 (/.f64 x a) (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(.f64 (.f64 (.f64 a a) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (.f64 x x) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (/.f64 x (neg.f64 a)))))
(.f64 (/.f64 (.f64 a a) x) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (.f64 x x) (.f64 a a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a))))
(+.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) x)
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/4 binary64)))) (-.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64))) x)))
(fma.f64 a (/.f64 x a) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 a (.f64 x #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 a #s(literal 1/2 binary64)) x)
(fma.f64 x (/.f64 a a) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) x)
(fma.f64 (/.f64 x a) a (.f64 a (.f64 x #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a x) (.f64 a (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) a x)
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(/.f64 (fma.f64 (.f64 a (.f64 x x)) (.f64 (.f64 a (.f64 x x)) (.f64 a (.f64 x x))) (pow.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a a) #s(literal -1/4 binary64))) a) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 a a)) (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a a) #s(literal -1/4 binary64))) a) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a a) #s(literal -1/4 binary64))) a)) (.f64 (.f64 a (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 a a) #s(literal -1/4 binary64))) a)))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 x x)) (.f64 a (.f64 x x))) (.f64 (.f64 a (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a a) #s(literal -1/4 binary64)))) (.f64 a (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a a) #s(literal -1/4 binary64)))))) (-.f64 (.f64 a (.f64 x x)) (.f64 a (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a a) #s(literal -1/4 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 x x)) (.f64 a (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a a) #s(literal -1/4 binary64))) a) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a a) #s(literal -1/4 binary64))) a))) (-.f64 (.f64 a (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a a) #s(literal -1/4 binary64))) a)))
(.f64 a (.f64 x (+.f64 x (.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal -1/4 binary64))))))
(.f64 a (neg.f64 (.f64 x (neg.f64 (+.f64 x (.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal -1/4 binary64))))))))
(.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 x (.f64 (.f64 x x) (.f64 (*.f64 a a) #s(literal -1/4 binary64)))))))
(.f64 (.f64 x (+.f64 x (.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal -1/4 binary64))))) a)
(.f64 (.f64 a (.f64 x (+.f64 x (.f64 (.f64 x x) (.f64 (*.f64 a a) #s(literal -1/4 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 a (.f64 x (neg.f64 (+.f64 x (.f64 (.f64 x x) (.f64 (*.f64 a a) #s(literal -1/4 binary64))))))))
(.f64 (neg.f64 a) (.f64 x (neg.f64 (+.f64 x (.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal -1/4 binary64)))))))
(.f64 (/.f64 a x) (/.f64 (.f64 (.f64 x (+.f64 x (.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal -1/4 binary64))))) (.f64 x (+.f64 x (.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/4 binary64))))))) (+.f64 x (.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/4 binary64)))))))
(.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 a a))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 a a) (.f64 a a)))) #s(literal -1/64 binary64))) a) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a #s(literal 1/4 binary64)))) (.f64 x (+.f64 x (.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/4 binary64)))))) (.f64 (.f64 x x) (.f64 x x)))))
(.f64 (.f64 (.f64 (.f64 x (+.f64 x (.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal -1/4 binary64))))) (.f64 x (+.f64 x (.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/4 binary64))))))) a) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/4 binary64))))))))
(.f64 (.f64 x (neg.f64 (+.f64 x (.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal -1/4 binary64)))))) (neg.f64 a))
(.f64 (.f64 a (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 a a))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 a a) (.f64 a a)))) #s(literal -1/64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a #s(literal 1/4 binary64)))) (.f64 x (+.f64 x (.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/4 binary64)))))) (.f64 (.f64 x x) (.f64 x x)))))
(.f64 (.f64 a (.f64 (.f64 x (+.f64 x (.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal -1/4 binary64))))) (.f64 x (+.f64 x (.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/4 binary64)))))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/4 binary64))))))))
(.f64 (/.f64 (.f64 (.f64 x (+.f64 x (.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal -1/4 binary64))))) (.f64 x (+.f64 x (.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/4 binary64))))))) x) (/.f64 a (+.f64 x (.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/4 binary64)))))))
(.f64 (neg.f64 (.f64 x (neg.f64 (+.f64 x (.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal -1/4 binary64))))))) a)
(exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) a))
(neg.f64 (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 a))
(/.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64))
(pow.f64 a #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(pow.f64 (*.f64 a a) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a))
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(neg.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a x)) (/.f64 #s(literal 1 binary64) x))
(.f64 a (.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(.f64 a (neg.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(.f64 a (neg.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x (neg.f64 x))))
(.f64 (.f64 x x) (*.f64 a #s(literal -1/2 binary64)))
(.f64 (.f64 a (*.f64 x x)) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 a (*.f64 x x)))
(.f64 (.f64 a #s(literal 1/2 binary64)) (*.f64 x (neg.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))))
(.f64 (neg.f64 a) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(.f64 (neg.f64 a) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))
(.f64 (.f64 a x) (*.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) a)
(.f64 (.f64 x (neg.f64 x)) (*.f64 a #s(literal 1/2 binary64)))
(.f64 (.f64 a (*.f64 x (neg.f64 x))) #s(literal 1/2 binary64))
(.f64 (.f64 a #s(literal -1/2 binary64)) (*.f64 x x))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 a x)) x)
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (neg.f64 a))
(.f64 (neg.f64 (.f64 a x)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (neg.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))) x)
(.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x))) a)
(exp.f64 (.f64 (log.f64 (.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 a #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(pow.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 a (*.f64 a #s(literal 1/4 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a #s(literal 1/2 binary64))))
(.f64 (.f64 a a) #s(literal 1/4 binary64))
(.f64 #s(literal 1/4 binary64) (.f64 a a))
(.f64 (.f64 a #s(literal 1/2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(.f64 (.f64 a (*.f64 a #s(literal 1/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 a #s(literal 1/4 binary64)) a)
(.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64))
(.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) a)
(.f64 (pow.f64 (.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))

simplify369.0ms (5.5%)

Memory

13.9MiB live, 446.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 120×	`lower-fma.f64`
13 120×	`lower-fma.f32`
5 192×	`lower-*.f64`
5 192×	`lower-*.f32`
2 650×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	287	3379
1	922	3361
2	2709	3189
3	6479	3182
0	8042	2959

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 401

Calls

Call 1

Inputs
(* a x)
(* a x)
(* a x)
(* a x)
a
a
a
a
a
a
a
a
(* 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 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* a x)
(* a (+ x (* 1/2 (* a x))))
(* a (+ x (* 1/2 (* a x))))
(* a (+ x (* 1/2 (* a x))))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(* a (* x (+ 1 (* 1/2 a))))
(* a (* x (+ 1 (* 1/2 a))))
(* a (* x (+ 1 (* 1/2 a))))
(* a (* x (+ 1 (* 1/2 a))))
(* a (* x (+ 1 (* 1/2 a))))
(* a (* x (+ 1 (* 1/2 a))))
(* a (* x (+ 1 (* 1/2 a))))
(* a (* x (+ 1 (* 1/2 a))))
(* a (* x (+ 1 (* 1/2 a))))
(* a (* x (+ 1 (* 1/2 a))))
(* a (* x (+ 1 (* 1/2 a))))
(* a (* x (+ 1 (* 1/2 a))))
x
(+ x (* 1/2 (* a x)))
(+ x (* 1/2 (* a x)))
(+ x (* 1/2 (* a x)))
(* 1/2 (* a x))
(* a (+ (* 1/2 x) (/ x a)))
(* a (+ (* 1/2 x) (/ x a)))
(* a (+ (* 1/2 x) (/ x a)))
(* 1/2 (* a x))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))
(* x (+ 1 (* 1/2 a)))
(* x (+ 1 (* 1/2 a)))
(* x (+ 1 (* 1/2 a)))
(* x (+ 1 (* 1/2 a)))
(* x (+ 1 (* 1/2 a)))
(* x (+ 1 (* 1/2 a)))
(* x (+ 1 (* 1/2 a)))
(* x (+ 1 (* 1/2 a)))
(* x (+ 1 (* 1/2 a)))
(* x (+ 1 (* 1/2 a)))
(* x (+ 1 (* 1/2 a)))
(* x (+ 1 (* 1/2 a)))
1
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(* 1/2 (* a x))
(* a (+ (* 1/2 x) (/ x a)))
(* a (+ (* 1/2 x) (/ x a)))
(* a (+ (* 1/2 x) (/ x a)))
(* 1/2 (* a x))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(* a (* x (+ 1/2 (/ 1 a))))
(* a (* x (+ 1/2 (/ 1 a))))
(* a (* x (+ 1/2 (/ 1 a))))
(* a (* x (+ 1/2 (/ 1 a))))
(* a (* x (+ 1/2 (/ 1 a))))
(* a (* x (+ 1/2 (/ 1 a))))
(* a (* x (+ 1/2 (/ 1 a))))
(* a (* x (+ 1/2 (/ 1 a))))
a
(* a (+ 1 (* 1/2 (* a x))))
(* a (+ 1 (* 1/2 (* a x))))
(* a (+ 1 (* 1/2 (* a x))))
(* 1/2 (* (pow a 6) x))
(* (pow a 6) (+ (* 1/2 x) (/ x a)))
(* (pow a 6) (+ (* 1/2 x) (/ x a)))
(* (pow a 6) (+ (* 1/2 x) (/ x a)))
(* 1/2 (* (pow a 8) x))
(* (pow a 8) (+ (* 1/2 x) (/ x a)))
(* (pow a 8) (+ (* 1/2 x) (/ x a)))
(* (pow a 8) (+ (* 1/2 x) (/ x a)))
a
(+ a (* 1/2 (* (pow a 2) x)))
(+ a (* 1/2 (* (pow a 2) x)))
(+ a (* 1/2 (* (pow a 2) x)))
(* (pow a 2) (* x (+ 1/2 (/ 1 a))))
(* (pow a 2) (* x (+ 1/2 (/ 1 a))))
(* (pow a 2) (* x (+ 1/2 (/ 1 a))))
(* (pow a 2) (* x (+ 1/2 (/ 1 a))))
(* (pow a 3) (* x (+ 1/2 (/ 1 a))))
(* (pow a 3) (* x (+ 1/2 (/ 1 a))))
(* (pow a 3) (* x (+ 1/2 (/ 1 a))))
(* (pow a 3) (* x (+ 1/2 (/ 1 a))))
(* x (+ 1/2 (/ 1 a)))
(* x (+ 1/2 (/ 1 a)))
(* x (+ 1/2 (/ 1 a)))
(* x (+ 1/2 (/ 1 a)))
(* x (+ 1/2 (/ 1 a)))
(* x (+ 1/2 (/ 1 a)))
(* x (+ 1/2 (/ 1 a)))
(* x (+ 1/2 (/ 1 a)))
(* x (+ 1/2 (/ 1 a)))
(* x (+ 1/2 (/ 1 a)))
(* x (+ 1/2 (/ 1 a)))
(* x (+ 1/2 (/ 1 a)))
(/ x a)
(/ (+ x (* 1/2 (* a x))) a)
(/ (+ x (* 1/2 (* a x))) a)
(/ (+ x (* 1/2 (* a x))) a)
(* 1/2 x)
(+ (* 1/2 x) (/ x a))
(+ (* 1/2 x) (/ x a))
(+ (* 1/2 x) (/ x a))
(* 1/2 x)
(+ (* 1/2 x) (/ x a))
(+ (* 1/2 x) (/ x a))
(+ (* 1/2 x) (/ x a))
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 3)))))
(* a (+ x (* 1/2 (* a (pow x 3)))))
(* a (+ x (* 1/2 (* a (pow x 3)))))
(* 1/2 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/2 (pow x 3)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 3)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 3)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 4)))
(* (pow a 2) (+ (* 1/2 (pow x 4)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 4)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 4)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) (pow x 2)))))
(* x (+ a (* 1/2 (* (pow a 2) (pow x 2)))))
(* x (+ a (* 1/2 (* (pow a 2) (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/2 (pow a 2)) (/ a (pow x 2))))
(* (pow x 3) (+ (* 1/2 (pow a 2)) (/ a (pow x 2))))
(* (pow x 3) (+ (* 1/2 (pow a 2)) (/ a (pow x 2))))
(* -1/2 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* 1/2 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* 1/2 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* 1/2 (pow a 2)))))
x
(+ x (* 1/2 (* a (pow x 3))))
(+ x (* 1/2 (* a (pow x 3))))
(+ x (* 1/2 (* a (pow x 3))))
(* 1/2 (* a (pow x 3)))
(* a (+ (* 1/2 (pow x 3)) (/ x a)))
(* a (+ (* 1/2 (pow x 3)) (/ x a)))
(* a (+ (* 1/2 (pow x 3)) (/ x a)))
(* 1/2 (* a (pow x 3)))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 3)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 3)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 3)))))
x
(* x (+ 1 (* 1/2 (* a (pow x 2)))))
(* x (+ 1 (* 1/2 (* a (pow x 2)))))
(* x (+ 1 (* 1/2 (* a (pow x 2)))))
(* 1/2 (* a (pow x 3)))
(* (pow x 3) (+ (* 1/2 a) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* 1/2 a) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* 1/2 a) (/ 1 (pow x 2))))
(* -1/2 (* a (pow x 3)))
(* -1 (* (pow x 3) (- (* 1/2 a) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (* 1/2 a) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (* 1/2 a) (/ 1 (pow x 2)))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 3))
(* a (pow x 3))
(* a (pow x 3))
(* a (pow x 3))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (- (* 1/4 (* (pow a 3) x)) (* -1/2 (pow a 2))))))
(* x (+ a (* x (- (* x (- (* 1/8 (* (pow a 4) x)) (* -1/4 (pow a 3)))) (* -1/2 (pow a 2))))))
(* 1/2 (* (pow a 4) (pow x 5)))
(* (pow x 5) (+ (* 1/2 (pow a 4)) (/ (pow a 4) (pow x 2))))
(* (pow x 5) (- (+ (* 1/2 (pow a 4)) (* 2 (/ (pow a 4) (pow x 4)))) (* -1 (/ (pow a 4) (pow x 2)))))
(* (pow x 5) (- (+ (* -2 (/ a (pow x 5))) (* 1/2 (pow a 4))) (+ (* -2 (/ (pow a 4) (pow x 4))) (* -1 (/ (pow a 4) (pow x 2))))))
(* 1/2 (* (pow a 4) (pow x 5)))
(* -1 (* (pow x 5) (+ (* -1/2 (pow a 4)) (/ (pow a 4) (pow x 2)))))
(* -1 (* (pow x 5) (- (+ (* -2 (/ (pow a 4) (pow x 4))) (* -1/2 (pow a 4))) (* -1 (/ (pow a 4) (pow x 2))))))
(* -1 (* (pow x 5) (- (+ (* -1/2 (pow a 4)) (* 2 (/ a (pow x 5)))) (+ (* -1 (/ (pow a 4) (pow x 2))) (* 2 (/ (pow a 4) (pow x 4)))))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (- (* a (- (* -1/4 (pow x 5)) (* -1/4 (pow x 3)))) (* -1/2 (pow x 2))))))
(* a (+ x (* a (- (* a (- (+ (* -1/4 (pow x 5)) (* 1/2 (* a (* x (- (* -1/4 (pow x 5)) (* -1/4 (pow x 3))))))) (* -1/4 (pow x 3)))) (* -1/2 (pow x 2))))))
(* 1/2 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/2 (pow x 3)) (/ (pow x 2) a)))
(* (pow a 2) (- (+ (* -1 (/ (+ 2 (* -2 x)) (pow a 2))) (* 1/2 (pow x 3))) (* -1 (/ (pow x 2) a))))
(* (pow a 2) (- (+ (* -2 (/ (+ 2 (* -2 x)) (* (pow a 3) x))) (* 1/2 (pow x 3))) (+ (* -2 (/ x (pow a 2))) (+ (* -1 (/ (pow x 2) a)) (/ 2 (pow a 2))))))
(* -1/2 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* 1/2 (pow x 3)) (/ x a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (- (* -1 x) (* 2 (/ 1 (* a x)))) a)) (* 1/2 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 2 (/ 1 a)) (+ (* 2 (/ 1 x)) (/ 4 (* a (pow x 3))))) a))) a)) (* 1/2 (pow x 3)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/4 (* (pow a 2) (pow x 4)))))
(* (pow x 2) (+ 1 (* -1/4 (* (pow a 2) (pow x 4)))))
(* (pow x 2) (+ 1 (* -1/4 (* (pow a 2) (pow x 4)))))
(* -1/4 (* (pow a 3) (pow x 8)))
(* (pow x 8) (- (/ 1 (pow x 5)) (* 1/4 (pow a 3))))
(* (pow x 8) (- (/ 1 (pow x 5)) (* 1/4 (pow a 3))))
(* (pow x 8) (- (/ 1 (pow x 5)) (* 1/4 (pow a 3))))
(* 1/4 (* (pow a 3) (pow x 8)))
(* -1 (* (pow x 8) (+ (* -1/4 (pow a 3)) (/ 1 (pow x 5)))))
(* -1 (* (pow x 8) (+ (* -1/4 (pow a 3)) (/ 1 (pow x 5)))))
(* -1 (* (pow x 8) (+ (* -1/4 (pow a 3)) (/ 1 (pow x 5)))))
(pow x 2)
(+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2))
(+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2))
(+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2))
(* -1/4 (* (pow a 2) (pow x 5)))
(* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))
(* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))
(* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))
(* -1/4 (* (pow a 2) (pow x 5)))
(* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))
(* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))
(* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))
x
(* x (+ 1 (* -1/2 (* a (pow x 2)))))
(* x (+ 1 (* -1/2 (* a (pow x 2)))))
(* x (+ 1 (* -1/2 (* a (pow x 2)))))
(* -1/2 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/2))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
x
(+ x (* -1/2 (* a (pow x 3))))
(+ x (* -1/2 (* a (pow x 3))))
(+ x (* -1/2 (* a (pow x 3))))
(* -1/2 (* a (pow x 3)))
(* a (+ (* -1/2 (pow x 3)) (/ x a)))
(* a (+ (* -1/2 (pow x 3)) (/ x a)))
(* a (+ (* -1/2 (pow x 3)) (/ x a)))
(* -1/2 (* a (pow x 3)))
(* -1 (* a (+ (* -1 (/ x a)) (* 1/2 (pow x 3)))))
(* -1 (* a (+ (* -1 (/ x a)) (* 1/2 (pow x 3)))))
(* -1 (* a (+ (* -1 (/ x a)) (* 1/2 (pow x 3)))))
(* a (pow x 2))
(* (pow x 2) (+ a (* -1/4 (* (pow a 3) (pow x 4)))))
(* (pow x 2) (+ a (* -1/4 (* (pow a 3) (pow x 4)))))
(* (pow x 2) (+ a (* -1/4 (* (pow a 3) (pow x 4)))))
(* -1/4 (* (pow a 4) (pow x 8)))
(* (pow x 8) (+ (* -1/4 (pow a 4)) (/ a (pow x 5))))
(* (pow x 8) (+ (* -1/4 (pow a 4)) (/ a (pow x 5))))
(* (pow x 8) (+ (* -1/4 (pow a 4)) (/ a (pow x 5))))
(* 1/4 (* (pow a 4) (pow x 8)))
(* (pow x 8) (+ (* -1 (/ a (pow x 5))) (* 1/4 (pow a 4))))
(* (pow x 8) (+ (* -1 (/ a (pow x 5))) (* 1/4 (pow a 4))))
(* (pow x 8) (+ (* -1 (/ a (pow x 5))) (* 1/4 (pow a 4))))
(* a (pow x 2))
(* a (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2)))
(* a (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2)))
(* a (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2)))
(* -1/4 (* (pow a 3) (pow x 5)))
(* (pow a 3) (+ (* -1/4 (pow x 5)) (/ (pow x 2) (pow a 2))))
(* (pow a 3) (+ (* -1/4 (pow x 5)) (/ (pow x 2) (pow a 2))))
(* (pow a 3) (+ (* -1/4 (pow x 5)) (/ (pow x 2) (pow a 2))))
(* 1/4 (* (pow a 4) (pow x 6)))
(* (pow a 4) (+ (* 1/4 (pow x 6)) (/ (pow x 3) (pow a 3))))
(* (pow a 4) (+ (* 1/4 (pow x 6)) (/ (pow x 3) (pow a 3))))
(* (pow a 4) (+ (* 1/4 (pow x 6)) (/ (pow x 3) (pow a 3))))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* -1/2 (* a (pow x 3)))
(* -1/2 (* a (pow x 3)))
(* -1/2 (* a (pow x 3)))
(* -1/2 (* a (pow x 3)))
(* -1/2 (* a (pow x 3)))
(* -1/2 (* a (pow x 3)))
(* -1/2 (* a (pow x 3)))
(* -1/2 (* a (pow x 3)))
(* -1/2 (* a (pow x 3)))
(* -1/2 (* a (pow x 3)))
(* -1/2 (* a (pow x 3)))
(* -1/2 (* a (pow x 3)))
(* -1/2 (* a (pow x 3)))
(* -1/2 (* a (pow x 3)))
(* -1/2 (* a (pow x 3)))
(* -1/2 (* a (pow x 3)))
(* -1/2 (* a (pow x 3)))
(* -1/2 (* a (pow x 3)))
(* -1/2 (* a (pow x 3)))
(* -1/2 (* a (pow x 3)))
(* 1/2 (* a (pow x 3)))
(* 1/2 (* a (pow x 3)))
(* 1/2 (* a (pow x 3)))
(* 1/2 (* a (pow x 3)))
(* 1/4 (pow a 2))
(* 1/4 (pow a 2))
(* 1/4 (pow a 2))
(* 1/4 (pow a 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 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
a
a
a
a
a
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)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a x))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* a (+ x (* 1/2 (* a x))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* a (+ x (* 1/2 (* a x))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* 1/2 (* (pow a 2) x))
(.f64 a (.f64 a (*.f64 x #s(literal 1/2 binary64))))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* 1/2 (* (pow a 2) x))
(.f64 a (.f64 a (*.f64 x #s(literal 1/2 binary64))))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* (pow a 2) (+ (* 1/2 x) (/ x a)))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* a (* x (+ 1 (* 1/2 a))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* a (* x (+ 1 (* 1/2 a))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* a (* x (+ 1 (* 1/2 a))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* a (* x (+ 1 (* 1/2 a))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* a (* x (+ 1 (* 1/2 a))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* a (* x (+ 1 (* 1/2 a))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* a (* x (+ 1 (* 1/2 a))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* a (* x (+ 1 (* 1/2 a))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* a (* x (+ 1 (* 1/2 a))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* a (* x (+ 1 (* 1/2 a))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* a (* x (+ 1 (* 1/2 a))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* a (* x (+ 1 (* 1/2 a))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
x
(+ x (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(+ x (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(+ x (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* a (+ (* 1/2 x) (/ x a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* a (+ (* 1/2 x) (/ x a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* a (+ (* 1/2 x) (/ x a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* x (+ 1 (* 1/2 a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* x (+ 1 (* 1/2 a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* x (+ 1 (* 1/2 a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* x (+ 1 (* 1/2 a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* x (+ 1 (* 1/2 a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* x (+ 1 (* 1/2 a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* x (+ 1 (* 1/2 a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* x (+ 1 (* 1/2 a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* x (+ 1 (* 1/2 a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* x (+ 1 (* 1/2 a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* x (+ 1 (* 1/2 a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* x (+ 1 (* 1/2 a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 a))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 a))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 a))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* a (+ (* 1/2 x) (/ x a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* a (+ (* 1/2 x) (/ x a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* a (+ (* 1/2 x) (/ x a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 x))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* a (* x (+ 1/2 (/ 1 a))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* a (* x (+ 1/2 (/ 1 a))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* a (* x (+ 1/2 (/ 1 a))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* a (* x (+ 1/2 (/ 1 a))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* a (* x (+ 1/2 (/ 1 a))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* a (* x (+ 1/2 (/ 1 a))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* a (* x (+ 1/2 (/ 1 a))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
(* a (* x (+ 1/2 (/ 1 a))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) x)
a
(* a (+ 1 (* 1/2 (* a x))))
(fma.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))) a)
(* a (+ 1 (* 1/2 (* a x))))
(fma.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))) a)
(* a (+ 1 (* 1/2 (* a x))))
(fma.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))) a)
(* 1/2 (* (pow a 6) x))
(.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 6 binary64))))
(* (pow a 6) (+ (* 1/2 x) (/ x a)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a)) (pow.f64 a #s(literal 6 binary64)))
(* (pow a 6) (+ (* 1/2 x) (/ x a)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a)) (pow.f64 a #s(literal 6 binary64)))
(* (pow a 6) (+ (* 1/2 x) (/ x a)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a)) (pow.f64 a #s(literal 6 binary64)))
(* 1/2 (* (pow a 8) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (pow.f64 a #s(literal 8 binary64))))
(* (pow a 8) (+ (* 1/2 x) (/ x a)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a)) (pow.f64 a #s(literal 8 binary64)))
(* (pow a 8) (+ (* 1/2 x) (/ x a)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a)) (pow.f64 a #s(literal 8 binary64)))
(* (pow a 8) (+ (* 1/2 x) (/ x a)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 x a)) (pow.f64 a #s(literal 8 binary64)))
a
(+ a (* 1/2 (* (pow a 2) x)))
(fma.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))) a)
(+ a (* 1/2 (* (pow a 2) x)))
(fma.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))) a)
(+ a (* 1/2 (* (pow a 2) x)))
(fma.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))) a)
(* (pow a 2) (* x (+ 1/2 (/ 1 a))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* (pow a 2) (* x (+ 1/2 (/ 1 a))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* (pow a 2) (* x (+ 1/2 (/ 1 a))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* (pow a 2) (* x (+ 1/2 (/ 1 a))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x))
(* (pow a 3) (* x (+ 1/2 (/ 1 a))))
(.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x) (*.f64 a a))
(* (pow a 3) (* x (+ 1/2 (/ 1 a))))
(.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x) (*.f64 a a))
(* (pow a 3) (* x (+ 1/2 (/ 1 a))))
(.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x) (*.f64 a a))
(* (pow a 3) (* x (+ 1/2 (/ 1 a))))
(.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) x) (*.f64 a a))
(* x (+ 1/2 (/ 1 a)))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))
(* x (+ 1/2 (/ 1 a)))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))
(* x (+ 1/2 (/ 1 a)))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))
(* x (+ 1/2 (/ 1 a)))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))
(* x (+ 1/2 (/ 1 a)))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))
(* x (+ 1/2 (/ 1 a)))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))
(* x (+ 1/2 (/ 1 a)))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))
(* x (+ 1/2 (/ 1 a)))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))
(* x (+ 1/2 (/ 1 a)))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))
(* x (+ 1/2 (/ 1 a)))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))
(* x (+ 1/2 (/ 1 a)))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))
(* x (+ 1/2 (/ 1 a)))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))
(/ x a)
(/.f64 x a)
(/ (+ x (* 1/2 (* a x))) a)
(fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))
(/ (+ x (* 1/2 (* a x))) a)
(fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))
(/ (+ x (* 1/2 (* a x))) a)
(fma.f64 x #s(literal 1/2 binary64) (/.f64 x a))
(* 1/2 x)
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(* -1/4 (* (pow a 2) (pow x 5)))
(.f64 (.f64 a a) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 5 binary64))))
(* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))
(fma.f64 (.f64 a a) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 x x))
(* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))
(fma.f64 (.f64 a a) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 x x))
(* (pow a 2) (- (/ (pow x 2) (pow a 2)) (* 1/4 (pow x 5))))
(fma.f64 (.f64 a a) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 x x))
x
(* x (+ 1 (* -1/2 (* a (pow x 2)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (*.f64 x x))) x)
(* x (+ 1 (* -1/2 (* a (pow x 2)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (*.f64 x x))) x)
(* x (+ 1 (* -1/2 (* a (pow x 2)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (*.f64 x x))) x)
(* -1/2 (pow x 3))
(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)) x)
(* 1/2 (pow x 3))
(.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
x
(+ x (* -1/2 (* a (pow x 3))))
(fma.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (*.f64 x x))) x)
(+ x (* -1/2 (* a (pow x 3))))
(fma.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (*.f64 x x))) x)
(+ x (* -1/2 (* a (pow x 3))))
(fma.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (*.f64 x x))) x)
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* a (+ (* -1/2 (pow x 3)) (/ x a)))
(fma.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (*.f64 x x))) x)
(* a (+ (* -1/2 (pow x 3)) (/ x a)))
(fma.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (*.f64 x x))) x)
(* a (+ (* -1/2 (pow x 3)) (/ x a)))
(fma.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (*.f64 x x))) x)
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* -1 (* a (+ (* -1 (/ x a)) (* 1/2 (pow x 3)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (*.f64 x x))) x)
(* -1 (* a (+ (* -1 (/ x a)) (* 1/2 (pow x 3)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (*.f64 x x))) x)
(* -1 (* a (+ (* -1 (/ x a)) (* 1/2 (pow x 3)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (*.f64 x x))) x)
(* a (pow x 2))
(.f64 a (.f64 x x))
(* (pow x 2) (+ a (* -1/4 (* (pow a 3) (pow x 4)))))
(.f64 (.f64 x x) (fma.f64 (.f64 a (.f64 a a)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) a))
(* (pow x 2) (+ a (* -1/4 (* (pow a 3) (pow x 4)))))
(.f64 (.f64 x x) (fma.f64 (.f64 a (.f64 a a)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) a))
(* (pow x 2) (+ a (* -1/4 (* (pow a 3) (pow x 4)))))
(.f64 (.f64 x x) (fma.f64 (.f64 a (.f64 a a)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) a))
(* -1/4 (* (pow a 4) (pow x 8)))
(.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 8 binary64))))
(* (pow x 8) (+ (* -1/4 (pow a 4)) (/ a (pow x 5))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/4 binary64) (/.f64 a (pow.f64 x #s(literal 5 binary64)))))
(* (pow x 8) (+ (* -1/4 (pow a 4)) (/ a (pow x 5))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/4 binary64) (/.f64 a (pow.f64 x #s(literal 5 binary64)))))
(* (pow x 8) (+ (* -1/4 (pow a 4)) (/ a (pow x 5))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/4 binary64) (/.f64 a (pow.f64 x #s(literal 5 binary64)))))
(* 1/4 (* (pow a 4) (pow x 8)))
(.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))))
(* (pow x 8) (+ (* -1 (/ a (pow x 5))) (* 1/4 (pow a 4))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 a (pow.f64 x #s(literal 5 binary64)))))
(* (pow x 8) (+ (* -1 (/ a (pow x 5))) (* 1/4 (pow a 4))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 a (pow.f64 x #s(literal 5 binary64)))))
(* (pow x 8) (+ (* -1 (/ a (pow x 5))) (* 1/4 (pow a 4))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 a (pow.f64 x #s(literal 5 binary64)))))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2)))
(.f64 a (fma.f64 (.f64 a a) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/4 binary64)) (.f64 x x)))
(* a (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2)))
(.f64 a (fma.f64 (.f64 a a) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/4 binary64)) (.f64 x x)))
(* a (+ (* -1/4 (* (pow a 2) (pow x 6))) (pow x 2)))
(.f64 a (fma.f64 (.f64 a a) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/4 binary64)) (.f64 x x)))
(* -1/4 (* (pow a 3) (pow x 5)))
(.f64 (.f64 a a) (.f64 a (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 5 binary64)))))
(* (pow a 3) (+ (* -1/4 (pow x 5)) (/ (pow x 2) (pow a 2))))
(.f64 a (fma.f64 (.f64 a a) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 5 binary64))) (.f64 x x)))
(* (pow a 3) (+ (* -1/4 (pow x 5)) (/ (pow x 2) (pow a 2))))
(.f64 a (fma.f64 (.f64 a a) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 5 binary64))) (.f64 x x)))
(* (pow a 3) (+ (* -1/4 (pow x 5)) (/ (pow x 2) (pow a 2))))
(.f64 a (fma.f64 (.f64 a a) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 5 binary64))) (.f64 x x)))
(* 1/4 (* (pow a 4) (pow x 6)))
(.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))))
(* (pow a 4) (+ (* 1/4 (pow x 6)) (/ (pow x 3) (pow a 3))))
(.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 x (/.f64 (.f64 x x) (.f64 a (.f64 a a))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow a 4) (+ (* 1/4 (pow x 6)) (/ (pow x 3) (pow a 3))))
(.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 x (/.f64 (.f64 x x) (.f64 a (.f64 a a))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow a 4) (+ (* 1/4 (pow x 6)) (/ (pow x 3) (pow a 3))))
(.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 x (/.f64 (.f64 x x) (.f64 a (.f64 a a))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* -1/2 (* a (pow x 3)))
(.f64 #s(literal -1/2 binary64) (.f64 a (.f64 x (.f64 x x))))
(* 1/2 (* a (pow x 3)))
(.f64 x (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* 1/2 (* a (pow x 3)))
(.f64 x (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* 1/2 (* a (pow x 3)))
(.f64 x (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* 1/2 (* a (pow x 3)))
(.f64 x (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* 1/4 (pow a 2))
(.f64 (.f64 a a) #s(literal 1/4 binary64))
(* 1/4 (pow a 2))
(.f64 (.f64 a a) #s(literal 1/4 binary64))
(* 1/4 (pow a 2))
(.f64 (.f64 a a) #s(literal 1/4 binary64))
(* 1/4 (pow a 2))
(.f64 (.f64 a a) #s(literal 1/4 binary64))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)

eval172.0ms (2.6%)

Memory: -9.7MiB live, 250.7MiB allocated
Compiler: Compiled 37 383 to 2 832 computations (92.4% saved)

prune147.0ms (2.2%)

Memory

30.6MiB live, 264.5MiB allocated

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	1 431	11	1 442
Fresh	3	8	11
Picked	4	1	5
Done	0	3	3
Total	1 438	23	1 461

Accuracy

100.0%

Counts

1 461 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.8%	(/.f64 (fma.f64 (.f64 a x) x (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a a) #s(literal -1/4 binary64))) a)) (+.f64 x (.f64 (.f64 a (.f64 x x)) #s(literal -1/2 binary64))))
	36.2%	(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) a) (fma.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) x x))
	38.3%	(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 a a))) a) (+.f64 x (.f64 (.f64 a (*.f64 x x)) #s(literal -1/2 binary64))))
	44.7%	(/.f64 (.f64 (.f64 x x) a) (+.f64 x (.f64 (.f64 a (*.f64 x x)) #s(literal -1/2 binary64))))
	40.3%	(/.f64 (.f64 a (.f64 x (+.f64 x (.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal -1/4 binary64)))))) (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x))
	69.3%	(/.f64 x (/.f64 #s(literal 1 binary64) a))
	61.2%	(/.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	69.3%	(/.f64 a (/.f64 #s(literal 1 binary64) x))
	68.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
	68.5%	(.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 a x))
	29.3%	(.f64 (/.f64 (.f64 x (+.f64 x (.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal -1/4 binary64))))) (fma.f64 x x (.f64 (.f64 (.f64 a a) #s(literal -1/4 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
	42.3%	(.f64 (/.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)) (.f64 x (+.f64 x (.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal -1/4 binary64))))))
	51.3%	(.f64 a (fma.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
	43.1%	(.f64 a (fma.f64 (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) (/.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (neg.f64 x))))))
	48.1%	(.f64 a (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
	58.8%	(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (.f64 x x) (*.f64 x x))) x))
	51.8%	(.f64 a (.f64 a (/.f64 x a)))
	43.2%	(.f64 a (.f64 a (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)))))
	20.7%	(.f64 a (.f64 a (.f64 x (.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
✓	69.6%	(*.f64 a x)
	5.3%	(*.f64 a #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	20.6%	#s(literal 0 binary64)

Compiler

Compiled 976 to 341 computations (65.1% saved)

regimes66.0ms (1%)

Memory

-30.0MiB live, 70.3MiB allocated

Counts

39 → 1

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	x
16.0ms	(*.f64 a x)
11.0ms	a
8.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
8.0ms	(exp.f64 (*.f64 a x))

Results

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

Compiler

Compiled 25 to 17 computations (32% saved)

regimes49.0ms (0.7%)

Memory

-12.4MiB live, 64.7MiB allocated

Counts

37 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

5 calls:

10.0ms	x
10.0ms	a
10.0ms	(*.f64 a x)
9.0ms	(exp.f64 (*.f64 a x))
8.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
69.6%	1	`a`
69.6%	1	`x`
69.6%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
69.6%	1	`(exp.f64 (*.f64 a x))`
69.6%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes9.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Accuracy

Total -10.5b remaining (-20.7%)

Threshold costs -10.5b (-20.7%)

Counts

3 → 1

Calls

Call 1

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

Outputs
#s(literal 0 binary64)

Calls

5 calls:

2.0ms	(*.f64 a x)
2.0ms	x
2.0ms	a
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
20.6%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
20.6%	1	`(exp.f64 (*.f64 a x))`
20.6%	1	`a`
20.6%	1	`(*.f64 a x)`
20.6%	1	`x`

Compiler

Compiled 25 to 17 computations (32% saved)

simplify5.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	6	8

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness630.0ms (9.4%)

Memory

1.5MiB live, 233.2MiB allocated

Rules

8 560×	`lower-fma.f64`
8 560×	`lower-fma.f32`
6 412×	`lower-fma.f32`
6 410×	`lower-fma.f64`
5 168×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
0	21	34
1	67	34
2	379	34
3	3538	34
0	8226	34
0	63	416
1	195	416
2	526	408
3	1050	408
4	1650	408
5	1848	408
6	1875	408
7	1895	408
8	1909	408
9	1912	408
10	1912	408
11	2607	404
12	3082	404
13	4049	404
14	4050	404
15	4050	404
16	4178	404
17	4178	404
18	6095	400
19	6319	400
20	6361	400
21	6375	400
22	6375	400
23	6551	400
24	6889	400
25	6889	400
26	7463	400
0	7463	344
0	6	13
0	9	13
1	30	13
2	152	13
0	1346	11

Stop Event

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

Compiler

Compiled 29 to 19 computations (34.5% saved)

preprocess33.0ms (0.5%)

Memory: -11.7MiB live, 64.2MiB allocated
Remove: (sort a x)
Compiler: Compiled 60 to 38 computations (36.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	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	11	45
0	21	45
1	41	45
2	67	45
3	121	45
4	170	45
5	186	45
6	192	45
7	258	45
8	261	45
0	261	45

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	11	45
0	21	45
1	41	45
2	67	45
3	121	45
4	170	45
5	186	45
6	192	45
7	258	45
8	261	45
0	261	45

analyze23.0ms (0.3%)

sample771.0ms (11.5%)

preprocess25.0ms (0.4%)

explain71.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize20.0ms (0.3%)

series5.0ms (0.1%)

rewrite87.0ms (1.3%)

simplify358.0ms (5.3%)

eval19.0ms (0.3%)

prune18.0ms (0.3%)

simplify14.0ms (0.2%)

localize36.0ms (0.5%)

series13.0ms (0.2%)

rewrite339.0ms (5%)

simplify303.0ms (4.5%)

eval61.0ms (0.9%)

prune61.0ms (0.9%)

simplify284.0ms (4.2%)

localize95.0ms (1.4%)

series76.0ms (1.1%)

rewrite453.0ms (6.7%)

simplify419.0ms (6.2%)

eval568.0ms (8.4%)

prune331.0ms (4.9%)

simplify295.0ms (4.4%)

localize95.0ms (1.4%)

series55.0ms (0.8%)

rewrite352.0ms (5.2%)

simplify369.0ms (5.5%)

eval172.0ms (2.6%)

prune147.0ms (2.2%)

regimes66.0ms (1%)

regimes49.0ms (0.7%)

regimes9.0ms (0.1%)

simplify5.0ms (0.1%)

soundness630.0ms (9.4%)

preprocess33.0ms (0.5%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	11	45
0	21	45
1	41	45
2	67	45
3	121	45
4	170	45
5	186	45
6	192	45
7	258	45
8	261	45
0	261	45