Metrics for expax (section 3.5)

analyze31.0ms (0.4%)

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%	6.3%	0%	0%	0%	6
75.9%	68.7%	21.9%	9.5%	0%	0%	0%	7
80%	68.7%	17.2%	14.1%	0%	0%	0%	8
86%	71.8%	11.7%	16.5%	0%	0%	0%	9
88.9%	71.8%	9%	19.2%	0%	0%	0%	10
92.4%	73.4%	6%	20.6%	0%	0%	0%	11
94.1%	73.4%	4.6%	22%	0%	0%	0%	12

Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 8.0ms (51.3% of total)

ival-exp: 3.0ms (19.2% of total)

ival-sub: 2.0ms (12.8% of total)

ival->: 2.0ms (12.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.7s (19.9%)

Results

1.2s	5325×	1	valid
218.0ms	2931×	0	valid
18.0ms	340×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 979.0ms

ival-exp: 310.0ms (31.7% of total)

ival-sub: 246.0ms (25.1% of total)

ival-mult: 192.0ms (19.6% of total)

backward-pass: 109.0ms (11.1% of total)

ival->: 108.0ms (11% of total)

const: 15.0ms (1.5% of total)

Bogosity

preprocess28.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

132×	`sum3-define`
96×	`fma-define`
78×	`fmsub-define`
44×	`sub-neg`
40×	`exp-sum`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	30
1	49	30
2	79	30
3	118	30
4	174	30
5	220	30
6	280	30
7	387	30
8	417	30
9	442	30
10	461	30
11	462	30
0	6	4
1	15	4
2	18	4
0	18	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (exp (* a x)) 1)

Outputs
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))

Call 2

Inputs
(- (exp (* a x)) 1)
(- (exp (* (neg a) x)) 1)
(- (exp (* a (neg x))) 1)
(neg (- (exp (* (neg a) x)) 1))
(neg (- (exp (* a (neg x))) 1))
(- (exp (* x a)) 1)

Outputs
(- (exp (* a x)) 1)
(expm1 (* a x))
(- (exp (* (neg a) x)) 1)
(expm1 (fnmsub a x 0))
(- (exp (* a (neg x))) 1)
(expm1 (fnmsub a x 0))
(neg (- (exp (* (neg a) x)) 1))
(neg (expm1 (fnmsub a x 0)))
(neg (- (exp (* a (neg x))) 1))
(neg (expm1 (fnmsub a x 0)))
(- (exp (* x a)) 1)
(expm1 (* a x))

Symmetry

(sort a x)

explain114.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
127	1	(-3.9756553055803253e-81 -1.358031770517114e-242)	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	0	-	-	`x`
0	0	-	-	`(*.f64 a x)`
0	0	-	-	`(exp.f64 (*.f64 a x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`a`

Results

55.0ms	346×	1	valid
12.0ms	166×	0	valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-exp: 16.0ms (44.5% of total)

ival-mult: 9.0ms (25% of total)

ival-sub: 5.0ms (13.9% of total)

backward-pass: 4.0ms (11.1% of total)

const: 1.0ms (2.8% of total)

eval0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(expm1.f64 (*.f64 a x))

Rules

6×	`exp-lowering-exp.f32`
6×	`exp-lowering-exp.f64`
4×	`pow-lowering-pow.f64`
4×	`pow-lowering-pow.f32`
4×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	15	9
2	18	9
0	18	9

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (exp (* a x)) 1)
(* a x)
a
x

Outputs
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
a
x

localize49.0ms (0.6%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(expm1.f64 (*.f64 a x))

Results

33.0ms	173×	5	exit
6.0ms	83×	0	valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

backward-pass: 4.0ms (28% of total)

compiled-spec: 4.0ms (28% of total)

ival-exp: 2.0ms (14% of total)

ival-mult: 2.0ms (14% of total)

ival-sub: 1.0ms (7% of total)

const: 0.0ms (0% of total)

series3.0ms (0%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>

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

12 calls:

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

rewrite321.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2778×	`/-lowering-/.f32`
2778×	`/-lowering-/.f64`
2514×	`-lowering-.f32`
2514×	`-lowering-.f64`
1974×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	28	7
2	154	7
3	1408	7
0	8320	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 238

Calls

Call 1

Inputs
(- (exp (* a x)) 1)
(* a x)

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

simplify252.0ms (3%)

Algorithm

1×	egg-herbie

Rules

4442×	`fma-define`
3688×	`fma-lowering-fma.f32`
3688×	`fma-lowering-fma.f64`
2336×	`-lowering-.f32`
2336×	`-lowering-.f64`

Iterations

Useful iterations: 13 (0.0ms)

Iter	Nodes	Cost
0	58	250
1	192	244
2	602	242
3	1415	240
4	2842	240
5	3158	240
6	3365	240
7	3449	240
8	3462	240
9	3464	240
10	4660	240
11	4660	240
12	4660	240
13	5293	236
14	5759	236
15	6785	236
0	8246	236

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval43.0ms (0.5%)

Compiler: Compiled 10927 to 741 computations (93.2% saved)

prune32.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	281	5	286
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	281	6	287

Accuracy

100.0%

Counts

287 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (expm1.f64 (.f64 (.f64 a (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (exp.f64 (.f64 (*.f64 a x) #s(literal 6 binary64))))))
▶	68.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
▶	67.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
▶	62.6%	(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64)))))))
▶	69.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 218 to 132 computations (39.4% saved)

simplify227.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64))))
✓	cost-diff	256	(.f64 (.f64 a (.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (*.f64 a #s(literal 1/24 binary64)))))
✓	cost-diff	256	(+.f64 x (.f64 (.f64 a (.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (*.f64 a #s(literal 1/24 binary64))))))
✓	cost-diff	256	(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
✓	cost-diff	0	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 a (.f64 x #s(literal 3 binary64)))
✓	cost-diff	128	(.f64 (.f64 a (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
✓	cost-diff	128	(expm1.f64 (.f64 (.f64 a (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))
✓	cost-diff	128	(/.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 #s(literal 2 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (exp.f64 (.f64 (*.f64 a x) #s(literal 6 binary64))))))

Rules

3628×	`+-lowering-+.f64`
3628×	`+-lowering-+.f32`
3036×	`-lowering-.f32`
3036×	`-lowering-.f64`
1198×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	405
1	154	381
2	604	369
3	2614	369
4	5921	369
5	7988	369
0	8315	369

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(/ (- (exp (* (* a (* x 3)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))) (+ (+ 1 (exp (* a (* x 3)))) (exp (* (* a x) 6)))))
(/.f64 (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 9 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (exp.f64 (.f64 (*.f64 a x) #s(literal 6 binary64))))))
(- (exp (* (* a (* x 3)) 3)) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 9 binary64))))
(* (* a (* x 3)) 3)
(.f64 a (.f64 x #s(literal 9 binary64)))
(* a (* x 3))
(.f64 a (.f64 x #s(literal 3 binary64)))
a
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(* (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))) (+ (+ 1 (exp (* a (* x 3)))) (exp (* (* a x) 6))))
(.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (exp.f64 (.f64 (.f64 a x) #s(literal 6 binary64))))))
(+ (exp (* a x)) (+ 1 (exp (* a (* x 2)))))
(+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 x #s(literal 2 binary64))))))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(+ 1 (exp (* a (* x 2))))
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(exp (* a (* x 2)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(* a (* x 2))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (+ 1 (exp (* a (* x 3)))) (exp (* (* a x) 6)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (exp.f64 (.f64 (.f64 a x) #s(literal 6 binary64)))))
(+ 1 (exp (* a (* x 3))))
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))))
(exp (* a (* x 3)))
(exp.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(exp (* (* a x) 6))
(exp.f64 (.f64 (.f64 a x) #s(literal 6 binary64)))
(* (* a x) 6)
(.f64 (.f64 a x) #s(literal 6 binary64))
6
#s(literal 6 binary64)
(* a x)
(*.f64 a x)
a
x
(* (* a x) (+ 1 (* a (* x 1/2))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))))
(* a x)
(*.f64 a x)
a
x
(+ 1 (* a (* x 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(* a (* x 1/2))
(.f64 x (.f64 a #s(literal 1/2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* (* a x) (+ 1 (* (* a x) (+ 1/2 (* a (* x 1/6))))))
(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))))
(* a x)
(*.f64 a x)
a
x
(+ 1 (* (* a x) (+ 1/2 (* a (* x 1/6)))))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
1
#s(literal 1 binary64)
(* (* a x) (+ 1/2 (* a (* x 1/6))))
(.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))
(+ 1/2 (* a (* x 1/6)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(* a (* x 1/6))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* a (+ x (* (* a (* x x)) (+ (+ 1/2 (* a (* x 1/6))) (* (* a (* x x)) (* a 1/24))))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64)))))))))))
a
(+ x (* (* a (* x x)) (+ (+ 1/2 (* a (* x 1/6))) (* (* a (* x x)) (* a 1/24)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 a #s(literal 1/24 binary64)))))))))))
x
(* (* a (* x x)) (+ (+ 1/2 (* a (* x 1/6))) (* (* a (* x x)) (* a 1/24))))
(.f64 (.f64 a (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 a #s(literal 1/24 binary64))))))))
(* a (* x x))
(.f64 a (.f64 x x))
(* x x)
(*.f64 x x)
(+ (+ 1/2 (* a (* x 1/6))) (* (* a (* x x)) (* a 1/24)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64)))))))
(+ 1/2 (* a (* x 1/6)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(* a (* x 1/6))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (* a (* x x)) (* a 1/24))
(.f64 a (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64)))))
(* a 1/24)
(*.f64 a #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)

localize323.0ms (3.8%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.8%	(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64)))))))
✓	accuracy	93.8%	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64))))
✓	accuracy	93.1%	(.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64)))
✓	accuracy	89.0%	(.f64 a (.f64 x x))
✓	accuracy	99.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
✓	accuracy	99.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))
✓	accuracy	99.8%	(.f64 a (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.8%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.8%	(/.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 #s(literal 2 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (exp.f64 (.f64 (*.f64 a x) #s(literal 6 binary64))))))
✓	accuracy	99.7%	(.f64 a (.f64 x #s(literal 3 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 a (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
✓	accuracy	99.6%	(.f64 (.f64 a x) #s(literal 6 binary64))

Results

198.0ms	172×	1	valid
40.0ms	83×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 415 to 46 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-mult: 71.0ms (42.7% of total)

backward-pass: 20.0ms (12% of total)

ival-exp: 19.0ms (11.4% of total)

ival-add: 19.0ms (11.4% of total)

compiled-spec: 15.0ms (9% of total)

...c/correct-round.rkt:119:19: 14.0ms (8.4% of total)

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

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

const: 2.0ms (1.2% of total)

series56.0ms (0.7%)

Counts

21 → 480

Calls

Call 1

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

Outputs
#<alt (* a x)>
#<alt (* a (+ x (* a (- (* 9/2 (pow x 2)) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x))))))))))>
#<alt (* a (+ x (* a (- (+ (* 9/2 (pow x 2)) (* a (- (* 27/2 (pow x 3)) (+ (* 1/9 (* x (+ (* 3 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (+ (* 9/2 (pow x 2)) (* 18 (pow x 2)))) (* (+ x (* 2 x)) (+ (* 3 x) (* 6 x))))))) (* 1/9 (* (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x)))) (- (* 9/2 (pow x 2)) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x))))))))))))) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x))))))))))>
#<alt (* a (+ x (* a (- (+ (* 9/2 (pow x 2)) (* a (- (+ (* 27/2 (pow x 3)) (* a (- (* 243/8 (pow x 4)) (+ (* 1/9 (* x (+ (* 3 (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))) (+ (* 3 (+ (* 9/2 (pow x 3)) (* 36 (pow x 3)))) (+ (* (+ x (* 2 x)) (+ (* 9/2 (pow x 2)) (* 18 (pow x 2)))) (* (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) (+ (* 3 x) (* 6 x)))))))) (+ (* 1/9 (* (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x)))) (- (* 27/2 (pow x 3)) (+ (* 1/9 (* x (+ (* 3 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (+ (* 9/2 (pow x 2)) (* 18 (pow x 2)))) (* (+ x (* 2 x)) (+ (* 3 x) (* 6 x))))))) (* 1/9 (* (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x)))) (- (* 9/2 (pow x 2)) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x))))))))))))) (* 1/9 (* (+ (* 3 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (+ (* 9/2 (pow x 2)) (* 18 (pow x 2)))) (* (+ x (* 2 x)) (+ (* 3 x) (* 6 x))))) (- (* 9/2 (pow x 2)) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x)))))))))))))) (+ (* 1/9 (* x (+ (* 3 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (+ (* 9/2 (pow x 2)) (* 18 (pow x 2)))) (* (+ x (* 2 x)) (+ (* 3 x) (* 6 x))))))) (* 1/9 (* (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x)))) (- (* 9/2 (pow x 2)) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x))))))))))))) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x))))))))))>
#<alt (/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))>
#<alt (/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))>
#<alt (/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))>
#<alt (/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))>
#<alt (/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))>
#<alt (/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))>
#<alt (/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))>
#<alt (/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))>
#<alt (* a x)>
#<alt (* x (+ a (* x (- (* 9/2 (pow a 2)) (* 1/9 (* a (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a))))))))))>
#<alt (* x (+ a (* x (- (+ (* 9/2 (pow a 2)) (* x (- (* 27/2 (pow a 3)) (+ (* 1/9 (* a (+ (* 3 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (+ (* 9/2 (pow a 2)) (* 18 (pow a 2)))) (* (+ a (* 2 a)) (+ (* 3 a) (* 6 a))))))) (* 1/9 (* (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a)))) (- (* 9/2 (pow a 2)) (* 1/9 (* a (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a))))))))))))) (* 1/9 (* a (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a))))))))))>
#<alt (* x (+ a (* x (- (+ (* 9/2 (pow a 2)) (* x (- (+ (* 27/2 (pow a 3)) (* x (- (* 243/8 (pow a 4)) (+ (* 1/9 (* a (+ (* 3 (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))) (+ (* 3 (+ (* 9/2 (pow a 3)) (* 36 (pow a 3)))) (+ (* (+ a (* 2 a)) (+ (* 9/2 (pow a 2)) (* 18 (pow a 2)))) (* (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) (+ (* 3 a) (* 6 a)))))))) (+ (* 1/9 (* (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a)))) (- (* 27/2 (pow a 3)) (+ (* 1/9 (* a (+ (* 3 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (+ (* 9/2 (pow a 2)) (* 18 (pow a 2)))) (* (+ a (* 2 a)) (+ (* 3 a) (* 6 a))))))) (* 1/9 (* (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a)))) (- (* 9/2 (pow a 2)) (* 1/9 (* a (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a))))))))))))) (* 1/9 (* (+ (* 3 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (+ (* 9/2 (pow a 2)) (* 18 (pow a 2)))) (* (+ a (* 2 a)) (+ (* 3 a) (* 6 a))))) (- (* 9/2 (pow a 2)) (* 1/9 (* a (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a)))))))))))))) (+ (* 1/9 (* a (+ (* 3 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (+ (* 9/2 (pow a 2)) (* 18 (pow a 2)))) (* (+ a (* 2 a)) (+ (* 3 a) (* 6 a))))))) (* 1/9 (* (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a)))) (- (* 9/2 (pow a 2)) (* 1/9 (* a (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a))))))))))))) (* 1/9 (* a (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a))))))))))>
#<alt (/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))>
#<alt (/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))>
#<alt (/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))>
#<alt (/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))>
#<alt (/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))>
#<alt (/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))>
#<alt (/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))>
#<alt (/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))>
#<alt (* 9 (* a x))>
#<alt (* a (+ (* 9 x) (* 81/2 (* a (pow x 2)))))>
#<alt (* a (+ (* 9 x) (* a (+ (* 81/2 (pow x 2)) (* 243/2 (* a (pow x 3)))))))>
#<alt (* a (+ (* 9 x) (* a (+ (* 81/2 (pow x 2)) (* a (+ (* 243/2 (pow x 3)) (* 2187/8 (* a (pow x 4)))))))))>
#<alt (- (exp (* 9 (* a x))) 1)>
#<alt (- (exp (* 9 (* a x))) 1)>
#<alt (- (exp (* 9 (* a x))) 1)>
#<alt (- (exp (* 9 (* a x))) 1)>
#<alt (- (exp (* 9 (* a x))) 1)>
#<alt (- (exp (* 9 (* a x))) 1)>
#<alt (- (exp (* 9 (* a x))) 1)>
#<alt (- (exp (* 9 (* a x))) 1)>
#<alt (* 9 (* a x))>
#<alt (* x (+ (* 9 a) (* 81/2 (* (pow a 2) x))))>
#<alt (* x (+ (* 9 a) (* x (+ (* 81/2 (pow a 2)) (* 243/2 (* (pow a 3) x))))))>
#<alt (* x (+ (* 9 a) (* x (+ (* 81/2 (pow a 2)) (* x (+ (* 243/2 (pow a 3)) (* 2187/8 (* (pow a 4) x))))))))>
#<alt (- (exp (* 9 (* a x))) 1)>
#<alt (- (exp (* 9 (* a x))) 1)>
#<alt (- (exp (* 9 (* a x))) 1)>
#<alt (- (exp (* 9 (* a x))) 1)>
#<alt (- (exp (* 9 (* a x))) 1)>
#<alt (- (exp (* 9 (* a x))) 1)>
#<alt (- (exp (* 9 (* a x))) 1)>
#<alt (- (exp (* 9 (* a x))) 1)>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 9 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (* 1/2 (* a x))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* 1/2 (* a x))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (* 1/2 (* a x))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* 1/2 (* a x))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))>
#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))>
#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))>
#<alt (* 1/2 (* a x))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* 1/2 (* a x))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))>
#<alt (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))) a)) (* -1/24 (pow x 4)))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))>
#<alt (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))>
#<alt (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))>
#<alt (* (pow x 2) (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))>
#<alt (+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))>
#<alt (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>

Calls

120 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(* a (* x x))
5.0ms	a	@	0	(/ (- (exp (* (* a (* x 3)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))) (+ (+ 1 (exp (* a (* x 3)))) (exp (* (* a x) 6)))))
4.0ms	x	@	0	(/ (- (exp (* (* a (* x 3)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))) (+ (+ 1 (exp (* a (* x 3)))) (exp (* (* a x) 6)))))
4.0ms	a	@	inf	(* a (* x 1/6))
3.0ms	x	@	-inf	(* (* a x) (+ 1 (* a (* x 1/2))))

rewrite320.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4066×	`-lowering-.f32`
4066×	`-lowering-.f64`
2636×	`fma-lowering-fma.f32`
2636×	`fma-lowering-fma.f64`
2018×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	242
1	273	222
2	2821	212
0	8981	212

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 506

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 9 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 a x)))) (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (.f64 a #s(literal 6 binary64)))))))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 a x))))) (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (*.f64 a #s(literal 6 binary64)))))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 a x)))) (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (.f64 a #s(literal 6 binary64))))))) (expm1.f64 (.f64 (*.f64 a x) #s(literal 9 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 9 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 a x)))) (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (.f64 a #s(literal 6 binary64)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 a x))))) (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (*.f64 a #s(literal 6 binary64))))))))
(fma.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 a x))))) (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (.f64 a #s(literal 6 binary64))))))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 a x))))) (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (.f64 a #s(literal 6 binary64)))))))))
(neg.f64 (/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 9 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 a x)))) (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (.f64 a #s(literal 6 binary64))))))))))
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(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64)))))) (.f64 (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64)))))) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64))))))))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64)))))) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64))))))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64)))))) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 (.f64 a x) (.f64 a x))) #s(literal 1/576 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a x) #s(literal 1/6 binary64)))))
(pow.f64 (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))) (.f64 (.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/24 binary64)))) (-.f64 (.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))) (.f64 (.f64 a (.f64 a a)) #s(literal 1/13824 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/24 binary64)))))))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))) (.f64 (.f64 a (.f64 a a)) #s(literal 1/13824 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))) (.f64 (.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/24 binary64)))) (-.f64 (.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a x) #s(literal 1/6 binary64))))))))
(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 x (*.f64 a #s(literal 1/24 binary64))))))))
(log.f64 (exp.f64 (.f64 x (.f64 a #s(literal 6 binary64)))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 a x)) (.f64 #s(literal 3 binary64) (.f64 a x)))
(fma.f64 a (.f64 x #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (*.f64 a x)))
(fma.f64 x (.f64 a #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (*.f64 a x)))
(fma.f64 x (.f64 #s(literal 3 binary64) a) (.f64 #s(literal 3 binary64) (*.f64 a x)))
(fma.f64 #s(literal 3 binary64) (.f64 a x) (.f64 #s(literal 3 binary64) (*.f64 a x)))
(fma.f64 (.f64 x #s(literal 3 binary64)) a (.f64 #s(literal 3 binary64) (*.f64 a x)))
(fma.f64 (.f64 a x) #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (*.f64 a x)))
(fma.f64 (.f64 a #s(literal 3 binary64)) x (.f64 #s(literal 3 binary64) (*.f64 a x)))
(.f64 a (.f64 x #s(literal 6 binary64)))
(.f64 x (.f64 a #s(literal 6 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) (log.f64 (exp.f64 (*.f64 a #s(literal 2 binary64)))))
(.f64 (.f64 a x) #s(literal 6 binary64))
(.f64 (.f64 a x) (log.f64 (exp.f64 #s(literal 6 binary64))))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) (*.f64 a x)))
(.f64 #s(literal 6 binary64) (.f64 a x))
(.f64 (.f64 x #s(literal 6 binary64)) a)
(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))) a)
(.f64 (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) a)
(.f64 (.f64 #s(literal 6 binary64) a) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(.f64 x (.f64 #s(literal 1/6 binary64) a))
(.f64 (.f64 a x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 a x))
(.f64 (.f64 x #s(literal 1/6 binary64)) a)
(.f64 (.f64 a #s(literal 1/6 binary64)) x)
(.f64 a (.f64 x x))
(.f64 x (.f64 a x))
(.f64 (.f64 a x) x)
(.f64 (.f64 x x) a)
(.f64 a (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64)))))
(.f64 a (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x x))))
(.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/24 binary64))))
(.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/24 binary64))))
(.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 a x) (.f64 a x)))
(.f64 (.f64 a #s(literal 1/24 binary64)) (.f64 a (.f64 x x)))
(.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 1/24 binary64))
(.f64 (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64)))) a)
(.f64 (.f64 (.f64 a #s(literal 1/24 binary64)) a) (.f64 x x))
(.f64 (.f64 (.f64 a #s(literal 1/24 binary64)) (.f64 a x)) x)

simplify290.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

5986×	`-lowering-.f32`
5986×	`-lowering-.f64`
3220×	`+-lowering-+.f64`
3220×	`+-lowering-+.f32`
1654×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	512	5544
1	1982	5247
0	8425	5247

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* a (- (* 9/2 (pow x 2)) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x))))))))))
(* a (+ x (* a (- (+ (* 9/2 (pow x 2)) (* a (- (* 27/2 (pow x 3)) (+ (* 1/9 (* x (+ (* 3 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (+ (* 9/2 (pow x 2)) (* 18 (pow x 2)))) (* (+ x (* 2 x)) (+ (* 3 x) (* 6 x))))))) (* 1/9 (* (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x)))) (- (* 9/2 (pow x 2)) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x))))))))))))) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x))))))))))
(* a (+ x (* a (- (+ (* 9/2 (pow x 2)) (* a (- (+ (* 27/2 (pow x 3)) (* a (- (* 243/8 (pow x 4)) (+ (* 1/9 (* x (+ (* 3 (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))) (+ (* 3 (+ (* 9/2 (pow x 3)) (* 36 (pow x 3)))) (+ (* (+ x (* 2 x)) (+ (* 9/2 (pow x 2)) (* 18 (pow x 2)))) (* (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) (+ (* 3 x) (* 6 x)))))))) (+ (* 1/9 (* (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x)))) (- (* 27/2 (pow x 3)) (+ (* 1/9 (* x (+ (* 3 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (+ (* 9/2 (pow x 2)) (* 18 (pow x 2)))) (* (+ x (* 2 x)) (+ (* 3 x) (* 6 x))))))) (* 1/9 (* (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x)))) (- (* 9/2 (pow x 2)) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x))))))))))))) (* 1/9 (* (+ (* 3 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (+ (* 9/2 (pow x 2)) (* 18 (pow x 2)))) (* (+ x (* 2 x)) (+ (* 3 x) (* 6 x))))) (- (* 9/2 (pow x 2)) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x)))))))))))))) (+ (* 1/9 (* x (+ (* 3 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (+ (* 9/2 (pow x 2)) (* 18 (pow x 2)))) (* (+ x (* 2 x)) (+ (* 3 x) (* 6 x))))))) (* 1/9 (* (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x)))) (- (* 9/2 (pow x 2)) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x))))))))))))) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x))))))))))
(/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))
(/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))
(/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))
(/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))
(/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))
(/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))
(/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))
(/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))
(* a x)
(* x (+ a (* x (- (* 9/2 (pow a 2)) (* 1/9 (* a (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a))))))))))
(* x (+ a (* x (- (+ (* 9/2 (pow a 2)) (* x (- (* 27/2 (pow a 3)) (+ (* 1/9 (* a (+ (* 3 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (+ (* 9/2 (pow a 2)) (* 18 (pow a 2)))) (* (+ a (* 2 a)) (+ (* 3 a) (* 6 a))))))) (* 1/9 (* (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a)))) (- (* 9/2 (pow a 2)) (* 1/9 (* a (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a))))))))))))) (* 1/9 (* a (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a))))))))))
(* x (+ a (* x (- (+ (* 9/2 (pow a 2)) (* x (- (+ (* 27/2 (pow a 3)) (* x (- (* 243/8 (pow a 4)) (+ (* 1/9 (* a (+ (* 3 (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))) (+ (* 3 (+ (* 9/2 (pow a 3)) (* 36 (pow a 3)))) (+ (* (+ a (* 2 a)) (+ (* 9/2 (pow a 2)) (* 18 (pow a 2)))) (* (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) (+ (* 3 a) (* 6 a)))))))) (+ (* 1/9 (* (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a)))) (- (* 27/2 (pow a 3)) (+ (* 1/9 (* a (+ (* 3 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (+ (* 9/2 (pow a 2)) (* 18 (pow a 2)))) (* (+ a (* 2 a)) (+ (* 3 a) (* 6 a))))))) (* 1/9 (* (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a)))) (- (* 9/2 (pow a 2)) (* 1/9 (* a (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a))))))))))))) (* 1/9 (* (+ (* 3 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (+ (* 9/2 (pow a 2)) (* 18 (pow a 2)))) (* (+ a (* 2 a)) (+ (* 3 a) (* 6 a))))) (- (* 9/2 (pow a 2)) (* 1/9 (* a (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a)))))))))))))) (+ (* 1/9 (* a (+ (* 3 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (+ (* 9/2 (pow a 2)) (* 18 (pow a 2)))) (* (+ a (* 2 a)) (+ (* 3 a) (* 6 a))))))) (* 1/9 (* (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a)))) (- (* 9/2 (pow a 2)) (* 1/9 (* a (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a))))))))))))) (* 1/9 (* a (+ (* 3 (+ a (* 2 a))) (* 3 (+ (* 3 a) (* 6 a))))))))))
(/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))
(/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))
(/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))
(/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))
(/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))
(/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))
(/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))
(/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))
(* 9 (* a x))
(* a (+ (* 9 x) (* 81/2 (* a (pow x 2)))))
(* a (+ (* 9 x) (* a (+ (* 81/2 (pow x 2)) (* 243/2 (* a (pow x 3)))))))
(* a (+ (* 9 x) (* a (+ (* 81/2 (pow x 2)) (* a (+ (* 243/2 (pow x 3)) (* 2187/8 (* a (pow x 4)))))))))
(- (exp (* 9 (* a x))) 1)
(- (exp (* 9 (* a x))) 1)
(- (exp (* 9 (* a x))) 1)
(- (exp (* 9 (* a x))) 1)
(- (exp (* 9 (* a x))) 1)
(- (exp (* 9 (* a x))) 1)
(- (exp (* 9 (* a x))) 1)
(- (exp (* 9 (* a x))) 1)
(* 9 (* a x))
(* x (+ (* 9 a) (* 81/2 (* (pow a 2) x))))
(* x (+ (* 9 a) (* x (+ (* 81/2 (pow a 2)) (* 243/2 (* (pow a 3) x))))))
(* x (+ (* 9 a) (* x (+ (* 81/2 (pow a 2)) (* x (+ (* 243/2 (pow a 3)) (* 2187/8 (* (pow a 4) x))))))))
(- (exp (* 9 (* a x))) 1)
(- (exp (* 9 (* a x))) 1)
(- (exp (* 9 (* a x))) 1)
(- (exp (* 9 (* a x))) 1)
(- (exp (* 9 (* a x))) 1)
(- (exp (* 9 (* a x))) 1)
(- (exp (* 9 (* a x))) 1)
(- (exp (* 9 (* a x))) 1)
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 9 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(* 1/2 (* a x))
(* a (+ (* 1/2 x) (/ 1 a)))
(* a (+ (* 1/2 x) (/ 1 a)))
(* a (+ (* 1/2 x) (/ 1 a)))
(* 1/2 (* a x))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(* 1/2 (* a x))
(* x (+ (* 1/2 a) (/ 1 x)))
(* x (+ (* 1/2 a) (/ 1 x)))
(* x (+ (* 1/2 a) (/ 1 x)))
(* 1/2 (* a x))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(* 1/2 (* a x))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* 1/2 (* a x))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))) a)) (* -1/24 (pow x 4)))))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))
(* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))
(* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* (pow x 2) (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
(* (pow x 2) (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))
(+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))
(+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* 1/24 (* (pow a 2) (pow x 2)))

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (* 9/2 (pow x 2)) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x))))))))))
(.f64 a (+.f64 x (.f64 a (-.f64 (.f64 #s(literal 9/2 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 12 binary64))))))))
(* a (+ x (* a (- (+ (* 9/2 (pow x 2)) (* a (- (* 27/2 (pow x 3)) (+ (* 1/9 (* x (+ (* 3 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (+ (* 9/2 (pow x 2)) (* 18 (pow x 2)))) (* (+ x (* 2 x)) (+ (* 3 x) (* 6 x))))))) (* 1/9 (* (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x)))) (- (* 9/2 (pow x 2)) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x))))))))))))) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x))))))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 9/2 binary64) (.f64 x x)) (-.f64 (.f64 a (-.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27/2 binary64))) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 15/2 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 135/2 binary64)) (.f64 x (.f64 x #s(literal 27 binary64))))) (.f64 x #s(literal 1/9 binary64)))) (.f64 (-.f64 (.f64 #s(literal 9/2 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 12 binary64))))) (.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 12 binary64)))))) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 12 binary64)))))))))
(* a (+ x (* a (- (+ (* 9/2 (pow x 2)) (* a (- (+ (* 27/2 (pow x 3)) (* a (- (* 243/8 (pow x 4)) (+ (* 1/9 (* x (+ (* 3 (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))) (+ (* 3 (+ (* 9/2 (pow x 3)) (* 36 (pow x 3)))) (+ (* (+ x (* 2 x)) (+ (* 9/2 (pow x 2)) (* 18 (pow x 2)))) (* (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) (+ (* 3 x) (* 6 x)))))))) (+ (* 1/9 (* (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x)))) (- (* 27/2 (pow x 3)) (+ (* 1/9 (* x (+ (* 3 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (+ (* 9/2 (pow x 2)) (* 18 (pow x 2)))) (* (+ x (* 2 x)) (+ (* 3 x) (* 6 x))))))) (* 1/9 (* (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x)))) (- (* 9/2 (pow x 2)) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x))))))))))))) (* 1/9 (* (+ (* 3 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (+ (* 9/2 (pow x 2)) (* 18 (pow x 2)))) (* (+ x (* 2 x)) (+ (* 3 x) (* 6 x))))) (- (* 9/2 (pow x 2)) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x)))))))))))))) (+ (* 1/9 (* x (+ (* 3 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (+ (* 9/2 (pow x 2)) (* 18 (pow x 2)))) (* (+ x (* 2 x)) (+ (* 3 x) (* 6 x))))))) (* 1/9 (* (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x)))) (- (* 9/2 (pow x 2)) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x))))))))))))) (* 1/9 (* x (+ (* 3 (+ x (* 2 x))) (* 3 (+ (* 3 x) (* 6 x))))))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 a (+.f64 (.f64 a (-.f64 (.f64 #s(literal 243/8 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/9 binary64) (+.f64 (.f64 x (+.f64 (.f64 x (.f64 #s(literal 9/2 binary64) (.f64 x x))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 243/2 binary64)) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 135/2 binary64))) (.f64 x (.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 5/2 binary64)))))))) (+.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 x #s(literal 12 binary64))) (-.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27/2 binary64))) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 15/2 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 135/2 binary64)) (.f64 x (.f64 x #s(literal 27 binary64))))) (.f64 x #s(literal 1/9 binary64)))) (.f64 (-.f64 (.f64 #s(literal 9/2 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 12 binary64))))) (.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 12 binary64)))))) (.f64 (-.f64 (.f64 #s(literal 9/2 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 12 binary64))))) (+.f64 (.f64 (.f64 x x) #s(literal 15/2 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 135/2 binary64)) (.f64 x (.f64 x #s(literal 27 binary64))))))))))) (-.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27/2 binary64))) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 15/2 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 135/2 binary64)) (.f64 x (.f64 x #s(literal 27 binary64))))) (.f64 x #s(literal 1/9 binary64)))) (.f64 (-.f64 (.f64 #s(literal 9/2 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 12 binary64))))) (.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 12 binary64))))))) (-.f64 (.f64 #s(literal 9/2 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 12 binary64)))))))))
(/ (- (exp (* 9 (* a x))) 1) (* (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (+ 1 (+ (exp (* 3 (* a x))) (exp (* 6 (* a x)))))))
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(.f64 (.f64 x x) (+.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a a)))))
(* (pow x 2) (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
(.f64 (.f64 x x) (+.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/24 binary64) x))))))
(* (pow x 2) (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
(.f64 (.f64 x x) (+.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/24 binary64) x))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 a (.f64 (.f64 a a) #s(literal 1/24 binary64))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 a (.f64 (.f64 a a) #s(literal 1/24 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 a a)) x)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 a (.f64 (.f64 a a) #s(literal 1/24 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 a a)) x) (.f64 a (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 a (.f64 (.f64 a a) #s(literal 1/24 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 a a)) x) (.f64 a (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 a (.f64 (.f64 a a) #s(literal 1/24 binary64))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 a (.f64 (.f64 a a) #s(literal 1/24 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 a a)) x)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 a (.f64 (.f64 a a) #s(literal 1/24 binary64))) (/.f64 (+.f64 (.f64 (/.f64 a x) #s(literal -1/2 binary64)) (.f64 (*.f64 a a) #s(literal -1/6 binary64))) x)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 a (.f64 (.f64 a a) #s(literal 1/24 binary64))) (/.f64 (+.f64 (.f64 (/.f64 a x) #s(literal -1/2 binary64)) (.f64 (*.f64 a a) #s(literal -1/6 binary64))) x)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))
(+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/6 binary64)))))
(+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/6 binary64)))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) a)))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (+.f64 (/.f64 (.f64 x #s(literal 1/6 binary64)) a) (/.f64 #s(literal 1/2 binary64) (.f64 a a)))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (+.f64 (/.f64 (.f64 x #s(literal 1/6 binary64)) a) (/.f64 #s(literal 1/2 binary64) (.f64 a a)))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) a)))
(* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))
(.f64 (.f64 a a) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1/2 binary64) a)) a)))
(* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))
(.f64 (.f64 a a) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1/2 binary64) a)) a)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))
(+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/6 binary64)))))
(+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/6 binary64)))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (+.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (/.f64 (.f64 a #s(literal 1/6 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (+.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (/.f64 (.f64 a #s(literal 1/6 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(.f64 (.f64 x x) (-.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (/.f64 (+.f64 (*.f64 a #s(literal -1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(.f64 (.f64 x x) (-.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (/.f64 (+.f64 (*.f64 a #s(literal -1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(.f64 a (.f64 x #s(literal 6 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))

eval171.0ms (2%)

Compiler: Compiled 36861 to 2393 computations (93.5% saved)

prune93.0ms (1.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1269	5	1274
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	1272	8	1280

Accuracy

100.0%

Counts

1280 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.9%	(+.f64 (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (*.f64 a x))
▶	67.9%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)
✓	68.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
▶	67.8%	(.f64 (.f64 a x) (.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)))
▶	22.1%	(.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/2 binary64))))
▶	67.9%	(.f64 a (+.f64 x (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (*.f64 a x)) x)))
✓	69.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 194 to 123 computations (36.6% saved)

simplify131.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (*.f64 a x))
✓	cost-diff	128	(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (.f64 a x)) x)
✓	cost-diff	128	(+.f64 x (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (.f64 a x)) x))
✓	cost-diff	128	(.f64 a (+.f64 x (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (*.f64 a x)) x)))
✓	cost-diff	0	(+.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	192	(.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
✓	cost-diff	192	(.f64 (.f64 a x) (.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)))
✓	cost-diff	0	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	128	(+.f64 (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (*.f64 a x))
✓	cost-diff	0	(*.f64 a #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 x (.f64 a #s(literal 1/2 binary64)))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal 1/2 binary64)))) a)
✓	cost-diff	0	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)

Rules

2648×	`-lowering-.f32`
2648×	`-lowering-.f64`
1904×	`sum5-define`
1178×	`associate-r`
1134×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	274
1	108	261
2	344	254
3	1082	254
4	3659	254
5	7356	254
0	8128	254

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize159.0ms (1.9%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	98.4%	(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (.f64 a x)) x)
✓	accuracy	97.8%	(.f64 a (+.f64 x (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (*.f64 a x)) x)))
✓	accuracy	96.5%	(.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (*.f64 a #s(literal 1/24 binary64))))))
✓	accuracy	100.0%	(*.f64 a #s(literal -1/2 binary64))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.8%	(.f64 (.f64 a x) (.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
✓	accuracy	100.0%	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.6%	(.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))
✓	accuracy	93.8%	(+.f64 (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (*.f64 a x))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(*.f64 a #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 x (.f64 a #s(literal 1/2 binary64)))
✓	accuracy	99.6%	(.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal 1/2 binary64)))) a)
✓	accuracy	98.5%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)

Results

97.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 300 to 37 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 33.0ms (61% of total)

...c/correct-round.rkt:119:19: 9.0ms (16.6% of total)

ival-add: 7.0ms (12.9% of total)

ival-div: 2.0ms (3.7% of total)

const: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

backward-pass: 0.0ms (0% of total)

series22.0ms (0.3%)

Counts

22 → 468

Calls

Call 1

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

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

Calls

117 calls:

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

rewrite341.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

5362×	`-lowering-.f32`
5362×	`-lowering-.f64`
3600×	`/-lowering-/.f32`
3600×	`/-lowering-/.f64`
1946×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	202
1	188	188
2	1655	179
0	8775	179

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 601

Calls

Call 1

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

Outputs
(+.f64 (.f64 a x) (.f64 a (.f64 (.f64 a (*.f64 x x)) #s(literal 1/2 binary64))))
(+.f64 (.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 a x))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a (.f64 x x)))) (.f64 a (.f64 a (.f64 x x)))) (.f64 a (-.f64 (.f64 (.f64 a (.f64 x x)) #s(literal 1/2 binary64)) x))) (.f64 (/.f64 a a) (/.f64 (.f64 a (.f64 x x)) (-.f64 (.f64 (.f64 a (.f64 x x)) #s(literal 1/2 binary64)) x))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 x x))) (-.f64 (.f64 a x) (.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a (.f64 x x)))) (.f64 a (.f64 a (.f64 x x)))) (-.f64 (.f64 a x) (.f64 a (.f64 (.f64 a (*.f64 x x)) #s(literal 1/2 binary64))))))
(fma.f64 a x (.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/2 binary64))))
(fma.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/2 binary64)) (.f64 a x))
(fma.f64 a (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a x)) (.f64 a x))
(fma.f64 x a (.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/2 binary64))))
(fma.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))) (.f64 a x))
(fma.f64 x (.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 a x)) (.f64 a x))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 a x)) (.f64 a x))
(fma.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x) (.f64 a x))
(fma.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x))
(fma.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 a (.f64 x x)) (.f64 a x))
(fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/2 binary64) (.f64 a x))
(fma.f64 (.f64 a (.f64 a x)) (.f64 x #s(literal 1/2 binary64)) (.f64 a x))
(fma.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/2 binary64)) (.f64 a x))
(fma.f64 (.f64 (.f64 a (.f64 x x)) #s(literal 1/2 binary64)) a (.f64 a x))
(fma.f64 (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) a) x (.f64 a x))
(fma.f64 (.f64 (.f64 a x) (.f64 a #s(literal 1/2 binary64))) x (.f64 a x))
(fma.f64 (.f64 (.f64 a (.f64 a x)) #s(literal 1/2 binary64)) x (.f64 a x))
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(fma.f64 (.f64 a #s(literal 1/6 binary64)) x (.f64 a (.f64 (.f64 a (*.f64 x x)) #s(literal 1/24 binary64))))
(fma.f64 (.f64 a (.f64 (.f64 a x) #s(literal 1/24 binary64))) x (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 a (.f64 a a))) (.f64 (.f64 (.f64 (.f64 a (.f64 x x)) (.f64 (.f64 a (.f64 x x)) (.f64 a (.f64 x x)))) #s(literal 1/13824 binary64)) (.f64 a (.f64 a a)))) (+.f64 (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (-.f64 (.f64 (.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64))) (.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64)))) (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 a (.f64 (.f64 a (*.f64 x x)) #s(literal 1/24 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64))) (.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64))))) (-.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64)))))
(/.f64 (.f64 a (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 (.f64 a (.f64 x x)) (.f64 (.f64 a (.f64 x x)) (.f64 a (.f64 x x)))) #s(literal 1/13824 binary64)))) (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (.f64 a (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a x) #s(literal 1/24 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 (.f64 a (.f64 x x)) (.f64 (.f64 a (.f64 x x)) (.f64 a (.f64 x x)))) #s(literal 1/13824 binary64))) a) (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) a) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a x) #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 a (.f64 a a))) (.f64 (.f64 (.f64 (.f64 a (.f64 x x)) (.f64 (.f64 a (.f64 x x)) (.f64 a (.f64 x x)))) #s(literal 1/13824 binary64)) (.f64 a (.f64 a a))))) (neg.f64 (+.f64 (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (-.f64 (.f64 (.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64))) (.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64)))) (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 a (.f64 (.f64 a (*.f64 x x)) #s(literal 1/24 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64))) (.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64)))))) (neg.f64 (-.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (.f64 a (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 (.f64 a (.f64 x x)) (.f64 (.f64 a (.f64 x x)) (.f64 a (.f64 x x)))) #s(literal 1/13824 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (.f64 a (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))))) (neg.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a x) #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 (.f64 a (.f64 x x)) (.f64 (.f64 a (.f64 x x)) (.f64 a (.f64 x x)))) #s(literal 1/13824 binary64))) a)) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) a)) (neg.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a x) #s(literal 1/24 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 a (.f64 x x)) (.f64 (.f64 a (.f64 x x)) (.f64 a (.f64 x x)))) #s(literal 1/13824 binary64)) (.f64 a (.f64 a a))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 a (.f64 a a)))) (+.f64 (.f64 (.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64))) (.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64)))) (-.f64 (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64))) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))))
(.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))
(.f64 x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) a))
(.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) a)
(.f64 (/.f64 a x) (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) x) (/.f64 a (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)

simplify288.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

6080×	`-lowering-.f32`
6080×	`-lowering-.f64`
3168×	`+-lowering-+.f64`
3168×	`+-lowering-+.f32`
1778×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	301	4172
1	1086	4049
2	3778	3968
0	8721	3968

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

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

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

eval140.0ms (1.6%)

Compiler: Compiled 31414 to 2294 computations (92.7% saved)

prune82.0ms (1%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	1220	4	1224
Fresh	0	0	0
Picked	1	4	5
Done	0	3	3
Total	1221	11	1232

Accuracy

100.0%

Counts

1232 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.6%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a (.f64 x x))))) (.f64 a x)) (-.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
✓	67.9%	(+.f64 (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (*.f64 a x))
✓	67.9%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)
✓	68.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
▶	69.0%	(.f64 (.f64 a x) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
✓	67.8%	(.f64 (.f64 a x) (.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)))
✓	22.1%	(.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/2 binary64))))
▶	67.8%	(.f64 a (+.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))) (.f64 a x)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a x) #s(literal 1/24 binary64)))))) x)))
▶	67.9%	(.f64 a (+.f64 x (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) a)) (.f64 a x)) x)))
✓	69.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 198 to 111 computations (43.9% saved)

simplify201.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a (.f64 x x))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a (.f64 x x)))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a (.f64 x x))))) (.f64 a x))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a (.f64 x x))))) (.f64 a x)) (-.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	320	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
✓	cost-diff	448	(.f64 (.f64 a x) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))) (.f64 a x)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a x) #s(literal 1/24 binary64))))))
✓	cost-diff	0	(.f64 (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))) (.f64 a x)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))) x)
✓	cost-diff	0	(+.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))) (.f64 a x)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))) x))
✓	cost-diff	0	(.f64 a (+.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))) (.f64 a x)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a x) #s(literal 1/24 binary64)))))) x)))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) a)) (.f64 a x))
✓	cost-diff	0	(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) a)) (*.f64 a x)) x)
✓	cost-diff	0	(+.f64 x (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) a)) (*.f64 a x)) x))
✓	cost-diff	0	(.f64 a (+.f64 x (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) a)) (.f64 a x)) x)))

Rules

4798×	`-lowering-.f32`
4798×	`-lowering-.f64`
1826×	`+-lowering-+.f64`
1826×	`+-lowering-+.f32`
1410×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	560
1	154	520
2	651	500
3	3011	480
4	7105	480
0	8069	480

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize179.0ms (2.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a (.f64 x x))))) (.f64 a x))
✓	accuracy	93.2%	(.f64 a (.f64 a (*.f64 x x)))
✓	accuracy	88.7%	(.f64 a (.f64 x x))
✓	accuracy	87.6%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a (.f64 x x))))) (.f64 a x)) (-.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(.f64 (.f64 a x) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
✓	accuracy	99.5%	(.f64 (.f64 a x) #s(literal 1/24 binary64))
✓	accuracy	98.4%	(.f64 (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))) (.f64 a x)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))) x)
✓	accuracy	97.8%	(.f64 a (+.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))) (.f64 a x)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a x) #s(literal 1/24 binary64)))))) x)))
✓	accuracy	83.0%	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))) (.f64 a x)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a x) #s(literal 1/24 binary64))))))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a x) #s(literal 1/24 binary64))))
✓	accuracy	98.4%	(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) a)) (*.f64 a x)) x)
✓	accuracy	97.8%	(.f64 a (+.f64 x (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) a)) (.f64 a x)) x)))
✓	accuracy	96.5%	(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) a)

Results

106.0ms

256×

valid

Compiler

Compiled 565 to 42 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 34.0ms (56.6% of total)

...c/correct-round.rkt:119:19: 7.0ms (11.7% of total)

ival-sub: 6.0ms (10% of total)

ival-div: 5.0ms (8.3% of total)

ival-add: 5.0ms (8.3% of total)

const: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

backward-pass: 0.0ms (0% of total)

series50.0ms (0.6%)

Counts

22 → 492

Calls

Call 1

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

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

Calls

123 calls:

Time	Variable		Point	Expression
10.0ms	a	@	-inf	(* a (* a (* x x)))
4.0ms	x	@	0	(/ (* (- 1 (* 1/4 (* a (* a (* x x))))) (* a x)) (- 1 (* a (* x 1/2))))
2.0ms	x	@	inf	(+ x (* (/ (* (- 1/4 (* (* (* a x) (+ 1/6 (* (* a x) 1/24))) (* (* a x) (+ 1/6 (* (* a x) 1/24))))) (* a x)) (- 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24))))) x))
1.0ms	a	@	-inf	(* a (+ x (* (/ (* (- 1/4 (* (* (* a x) (+ 1/6 (* (* a x) 1/24))) (* (* a x) (+ 1/6 (* (* a x) 1/24))))) (* a x)) (- 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24))))) x)))
1.0ms	x	@	inf	(* a (+ x (* (/ (* (- 1/4 (* (* (* a x) (+ 1/6 (* (* a x) 1/24))) (* (* a x) (+ 1/6 (* (* a x) 1/24))))) (* a x)) (- 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24))))) x)))

rewrite393.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4236×	`-lowering-.f32`
4236×	`-lowering-.f64`
3636×	`/-lowering-/.f32`
3636×	`/-lowering-/.f64`
1682×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	279
1	275	227
2	2429	224
0	8307	224

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 766

Calls

Call 1

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

Outputs
(+.f64 (.f64 a x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) (.f64 a (.f64 x (*.f64 a x)))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) (.f64 a (.f64 x (.f64 a x)))) (*.f64 a x))
(-.f64 (/.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 (.f64 a x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) (.f64 a (.f64 x (.f64 a x)))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) (.f64 a (.f64 x (.f64 a x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) (.f64 a (.f64 x (.f64 a x))))) (-.f64 (.f64 a x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) (.f64 a (.f64 x (.f64 a x)))))))
(fma.f64 a x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) (.f64 a (.f64 x (.f64 a x)))))
(fma.f64 a (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) (.f64 x (.f64 a x))) (.f64 a x))
(fma.f64 x a (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) (.f64 a (.f64 x (.f64 a x)))))
(fma.f64 x (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))) a) (.f64 a x))
(fma.f64 (.f64 a x) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))) (.f64 a x))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) (.f64 a (.f64 x (.f64 a x))) (.f64 a x))
(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) (.f64 x (.f64 a x))) a (.f64 a x))
(fma.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))) (.f64 a x) (.f64 a x))
(fma.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))) (.f64 x (.f64 a x)) (.f64 a x))
(fma.f64 (.f64 a (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))) x (.f64 a x))
(/.f64 (+.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) (.f64 a (.f64 x (.f64 a x)))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) (.f64 a (.f64 x (.f64 a x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) (.f64 a (.f64 x (.f64 a x))))))) (+.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) (.f64 a (.f64 x (.f64 a x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) (.f64 a (.f64 x (.f64 a x))))) (.f64 (.f64 a x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) (.f64 a (.f64 x (*.f64 a x))))))))
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(fma.f64 x (.f64 a #s(literal 1/6 binary64)) (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 a x)))))
(fma.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/6 binary64) (*.f64 a x)))
(fma.f64 #s(literal 1/6 binary64) (.f64 a x) (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 a x)))))
(fma.f64 (.f64 a x) #s(literal 1/6 binary64) (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 a x)))))
(fma.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/24 binary64))) (.f64 #s(literal 1/6 binary64) (*.f64 a x)))
(fma.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (.f64 a x))) (.f64 #s(literal 1/6 binary64) (*.f64 a x)))
(fma.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (.f64 a x) (.f64 #s(literal 1/6 binary64) (*.f64 a x)))
(fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 a x)))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) a (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 a x)))))
(fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x))) a (.f64 #s(literal 1/6 binary64) (*.f64 a x)))
(fma.f64 (.f64 #s(literal 1/6 binary64) a) x (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 a x)))))
(fma.f64 (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) a) x (.f64 #s(literal 1/6 binary64) (*.f64 a x)))
(fma.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 a x)))
(/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))) (.f64 (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/13824 binary64)) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))))) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) (.f64 #s(literal 1/6 binary64) (.f64 a x))) (-.f64 (.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x)))) (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x))))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 a x))))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) (.f64 #s(literal 1/6 binary64) (.f64 a x))) (.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x)))) (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x)))))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x))))))
(/.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 a (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 a x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (.f64 a x))))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/13824 binary64))) (.f64 a x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 a (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/576 binary64))) (.f64 a x)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (.f64 a x))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))) (.f64 (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/13824 binary64)) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))))))) (neg.f64 (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) (.f64 #s(literal 1/6 binary64) (.f64 a x))) (-.f64 (.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x)))) (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x))))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 a x)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) (.f64 #s(literal 1/6 binary64) (.f64 a x))) (.f64 (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x)))) (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x))))))) (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) (.f64 a (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x)))))))
(/.f64 (neg.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/13824 binary64))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 a (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 a x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/576 binary64))))) (neg.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (.f64 a x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/13824 binary64))) (.f64 a x))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 a (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/576 binary64))) (.f64 a x))) (neg.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (.f64 a x)))))
(pow.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))
(.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))
(.f64 x (pow.f64 (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
(.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))) (.f64 a x))
(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))) a)
(.f64 (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))) x)
(.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)) x)
(.f64 (pow.f64 (.f64 a x) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)) (pow.f64 (.f64 a x) #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x))))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x))) (.f64 x #s(literal 1/6 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x))))) (/.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x))) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x))))))
(fma.f64 a (.f64 (.f64 x #s(literal 1/24 binary64)) x) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 a x))))
(fma.f64 x (.f64 a (.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 a x))))
(fma.f64 (.f64 a x) (.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) x (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 a x) (*.f64 x #s(literal 1/6 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x))) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x)))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 a x)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x))) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x))))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 a x))))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 a x))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x))) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x)))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 a x))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x))) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x)))))) (neg.f64 (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 a x))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/13824 binary64))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/576 binary64))))) (neg.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 a x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/13824 binary64))) x)) (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/576 binary64))) x)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 a x)))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64)))) x)
(.f64 a (.f64 x #s(literal 1/24 binary64)))
(.f64 x (.f64 a #s(literal 1/24 binary64)))
(.f64 (.f64 a x) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 a x))
(.f64 (.f64 x #s(literal 1/24 binary64)) a)
(.f64 (.f64 #s(literal 1/24 binary64) a) x)
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 #s(literal 0 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(neg.f64 x)
(/.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(.f64 a (.f64 x x))
(.f64 x (.f64 a x))
(.f64 (.f64 a x) x)
(.f64 (.f64 x x) a)
(exp.f64 (.f64 (log.f64 (.f64 a x)) #s(literal 2 binary64)))
(pow.f64 (*.f64 a x) #s(literal 2 binary64))
(.f64 a (.f64 x (*.f64 a x)))
(.f64 x (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 a x))
(.f64 (.f64 x x) (*.f64 a a))
(.f64 (.f64 x (*.f64 a x)) a)
(.f64 (.f64 a a) (*.f64 x x))
(.f64 (.f64 a (*.f64 a x)) x)
(.f64 (.f64 (*.f64 a a) x) x)
(.f64 (.f64 (*.f64 a x) a) x)

simplify414.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

5346×	`-lowering-.f32`
5346×	`-lowering-.f64`
4536×	`+-lowering-+.f64`
4536×	`+-lowering-+.f32`
1898×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	713	6793
1	2734	6454
0	9118	6454

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

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))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))) a)) (* -1/24 (pow x 4)))))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* (pow x 2) (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
(* (pow x 2) (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))
(* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))
(* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(* 1/2 (* a x))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
(* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(* 1/2 (* a x))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))))
(* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (- (+ (* 1/24 (pow x 4)) (* 1/3 (/ (pow x 3) a))) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (- (+ (* 1/24 (pow x 4)) (+ (* 1/3 (/ (pow x 3) a)) (* 2/3 (/ (pow x 2) (pow a 2))))) (+ (* -1/2 (/ (pow x 2) (pow a 2))) (+ (* 1/6 (/ (pow x 3) a)) (* 4 (/ (- (* 1/3 (pow x 3)) (* 1/6 (pow x 3))) (* (pow a 2) x)))))))
(* (pow a 4) (- (+ (* 1/24 (pow x 4)) (+ (* 1/3 (/ (pow x 3) a)) (+ (* 2/3 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))) (+ (* -12 (/ (- (* 1/3 (pow x 3)) (* 1/6 (pow x 3))) (* (pow a 3) (pow x 2)))) (+ (* -1/2 (/ (pow x 2) (pow a 2))) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 4 (/ (- (* 1/3 (pow x 3)) (* 1/6 (pow x 3))) (* (pow a 2) x))) (* 4 (/ (- (* 2/3 (pow x 2)) (+ (* -1/2 (pow x 2)) (* 4 (/ (- (* 1/3 (pow x 3)) (* 1/6 (pow x 3))) x)))) (* (pow a 3) x)))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* -1 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 2)) (+ (* -4 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) x)) (* -1/2 (pow x 2)))) a)) (* -1/3 (pow x 3))) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -12 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) (* a (pow x 2)))) (+ (* -4 (/ (- (* 2/3 (pow x 2)) (+ (* -4 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) x)) (* -1/2 (pow x 2)))) (* a x))) (+ (* 2/3 (pow x 2)) (/ x a)))) (+ (* -4 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) x)) (* -1/2 (pow x 2)))) a)) (* -1/3 (pow x 3))) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (/ (* a (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2)))) x)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (/ (* a (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2)))) x) (/ (* a (- (* 2/3 a) (+ (* -1/2 a) (* 4 (/ (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2))) a))))) (pow x 2)))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (/ (* a (- 1 (+ (* -12 (/ (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2))) (pow a 2))) (* 4 (/ (- (* 2/3 a) (+ (* -1/2 a) (* 4 (/ (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2))) a)))) a))))) (pow x 3)) (+ (/ (* a (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2)))) x) (/ (* a (- (* 2/3 a) (+ (* -1/2 a) (* 4 (/ (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2))) a))))) (pow x 2))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* -1 (/ (* a (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2)))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (* a (- (* 2/3 a) (+ (* -4 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) a)) (* -1/2 a)))) x)) (* a (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* a (- (* 2/3 a) (+ (* -4 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) a)) (* -1/2 a)))) (/ (* a (+ 1 (+ (* -12 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) (pow a 2))) (* -4 (/ (- (* 2/3 a) (+ (* -4 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) a)) (* -1/2 a))) a))))) x)) x)) (* a (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))))) x)) (* 1/24 (pow a 4))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/2 a) (* x (- (* 1/24 (* (pow a 3) x)) (* -1/6 (pow a 2))))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (- (+ (* 1/24 (pow a 3)) (* 1/3 (/ (pow a 2) x))) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (- (+ (* 1/24 (pow a 3)) (+ (* 1/3 (/ (pow a 2) x)) (* 2/3 (/ a (pow x 2))))) (+ (* -1/2 (/ a (pow x 2))) (+ (* 1/6 (/ (pow a 2) x)) (* 4 (/ (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2))) (* a (pow x 2))))))))
(* (pow x 4) (- (+ (* 1/24 (pow a 3)) (+ (* 1/3 (/ (pow a 2) x)) (+ (* 2/3 (/ a (pow x 2))) (/ 1 (pow x 3))))) (+ (* -12 (/ (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2))) (* (pow a 2) (pow x 3)))) (+ (* -1/2 (/ a (pow x 2))) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 4 (/ (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2))) (* a (pow x 2)))) (* 4 (/ (- (* 2/3 a) (+ (* -1/2 a) (* 4 (/ (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2))) a)))) (* a (pow x 3))))))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* -1 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 a) (+ (* -4 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) a)) (* -1/2 a))) x)) (* -1/3 (pow a 2))) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -12 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) (* (pow a 2) x))) (+ (* -4 (/ (- (* 2/3 a) (+ (* -4 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) a)) (* -1/2 a))) (* a x))) (+ (* 2/3 a) (/ 1 x)))) (+ (* -4 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) a)) (* -1/2 a))) x)) (* -1/3 (pow a 2))) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/2 (pow x 2)) (* a (- (* 1/24 (* a (pow x 4))) (* -1/6 (pow x 3)))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow a 3) (- (+ (* 1/24 (pow x 4)) (* 1/3 (/ (pow x 3) a))) (* 1/6 (/ (pow x 3) a))))
(* (pow a 3) (- (+ (* 1/24 (pow x 4)) (+ (* 1/3 (/ (pow x 3) a)) (* 2/3 (/ (pow x 2) (pow a 2))))) (+ (* -1/2 (/ (pow x 2) (pow a 2))) (+ (* 1/6 (/ (pow x 3) a)) (* 4 (/ (- (* 1/3 (pow x 3)) (* 1/6 (pow x 3))) (* (pow a 2) x)))))))
(* (pow a 3) (- (+ (* 1/24 (pow x 4)) (+ (* 1/3 (/ (pow x 3) a)) (+ (* 2/3 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))) (+ (* -12 (/ (- (* 1/3 (pow x 3)) (* 1/6 (pow x 3))) (* (pow a 3) (pow x 2)))) (+ (* -1/2 (/ (pow x 2) (pow a 2))) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 4 (/ (- (* 1/3 (pow x 3)) (* 1/6 (pow x 3))) (* (pow a 2) x))) (* 4 (/ (- (* 2/3 (pow x 2)) (+ (* -1/2 (pow x 2)) (* 4 (/ (- (* 1/3 (pow x 3)) (* 1/6 (pow x 3))) x)))) (* (pow a 3) x)))))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* -1 (* (pow a 3) (- (+ (* -1/3 (/ (pow x 3) a)) (* -1/24 (pow x 4))) (* -1/6 (/ (pow x 3) a)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (- (+ (* -1 (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3)))) (* 2/3 (/ (pow x 2) a))) (+ (* -4 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) (* a x))) (* -1/2 (/ (pow x 2) a)))) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3)))) (* -1 (/ (+ (* -1 (- (* 2/3 (pow x 2)) (+ (* -4 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) x)) (* -1/2 (pow x 2))))) (* -1 (/ (+ x (+ (* -12 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) (pow x 2))) (* -4 (/ (- (* 2/3 (pow x 2)) (+ (* -4 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) x)) (* -1/2 (pow x 2)))) x)))) a))) a))) a)) (* -1/24 (pow x 4)))))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))
(* a (+ (* 1/2 (pow x 2)) (* a (- (* 1/24 (* a (pow x 4))) (* -1/6 (pow x 3))))))
(* a (+ (* 1/2 (pow x 2)) (* a (- (* 1/24 (* a (pow x 4))) (* -1/6 (pow x 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow a 3) (- (+ (* 1/24 (pow x 4)) (* 1/3 (/ (pow x 3) a))) (* 1/6 (/ (pow x 3) a))))
(* (pow a 3) (- (+ (* 1/24 (pow x 4)) (+ (* 1/3 (/ (pow x 3) a)) (* 2/3 (/ (pow x 2) (pow a 2))))) (+ (* -1/2 (/ (pow x 2) (pow a 2))) (+ (* 1/6 (/ (pow x 3) a)) (* 4 (/ (- (* 1/3 (pow x 3)) (* 1/6 (pow x 3))) (* (pow a 2) x)))))))
(* (pow a 3) (- (+ (* -1 (/ (+ (* -12 (/ (- (* 1/3 (pow x 3)) (* 1/6 (pow x 3))) (pow x 2))) (* 4 (/ (- (* 2/3 (pow x 2)) (+ (* -1/2 (pow x 2)) (* 4 (/ (- (* 1/3 (pow x 3)) (* 1/6 (pow x 3))) x)))) x))) (pow a 3))) (+ (* 1/24 (pow x 4)) (+ (* 1/3 (/ (pow x 3) a)) (* 2/3 (/ (pow x 2) (pow a 2)))))) (+ (* -1/2 (/ (pow x 2) (pow a 2))) (+ (* 1/6 (/ (pow x 3) a)) (* 4 (/ (- (* 1/3 (pow x 3)) (* 1/6 (pow x 3))) (* (pow a 2) x)))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* -1 (* (pow a 3) (- (+ (* -1/3 (/ (pow x 3) a)) (* -1/24 (pow x 4))) (* -1/6 (/ (pow x 3) a)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (- (+ (* -1 (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3)))) (* 2/3 (/ (pow x 2) a))) (+ (* -4 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) (* a x))) (* -1/2 (/ (pow x 2) a)))) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3)))) (* -1 (/ (+ (* -1 (- (* 2/3 (pow x 2)) (+ (* -4 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) x)) (* -1/2 (pow x 2))))) (* -1 (/ (+ (* -12 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) (pow x 2))) (* -4 (/ (- (* 2/3 (pow x 2)) (+ (* -4 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) x)) (* -1/2 (pow x 2)))) x))) a))) a))) a)) (* -1/24 (pow x 4)))))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* (pow x 2) (+ (* 1/2 a) (* x (- (* 1/24 (* (pow a 3) x)) (* -1/6 (pow a 2))))))
(* (pow x 2) (+ (* 1/2 a) (* x (- (* 1/24 (* (pow a 3) x)) (* -1/6 (pow a 2))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (- (+ (* 1/24 (pow a 3)) (* 1/3 (/ (pow a 2) x))) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (- (+ (* 1/24 (pow a 3)) (+ (* 1/3 (/ (pow a 2) x)) (* 2/3 (/ a (pow x 2))))) (+ (* -1/2 (/ a (pow x 2))) (+ (* 1/6 (/ (pow a 2) x)) (* 4 (/ (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2))) (* a (pow x 2))))))))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -12 (/ (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2))) (pow a 2))) (* 4 (/ (- (* 2/3 a) (+ (* -1/2 a) (* 4 (/ (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2))) a)))) a))) (pow x 3))) (+ (* 1/24 (pow a 3)) (+ (* 1/3 (/ (pow a 2) x)) (* 2/3 (/ a (pow x 2)))))) (+ (* -1/2 (/ a (pow x 2))) (+ (* 1/6 (/ (pow a 2) x)) (* 4 (/ (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2))) (* a (pow x 2))))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* -1 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 a) (+ (* -4 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) a)) (* -1/2 a))) x)) (* -1/3 (pow a 2))) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -12 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) (* (pow a 2) x))) (+ (* -4 (/ (- (* 2/3 a) (+ (* -4 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) a)) (* -1/2 a))) (* a x))) (* 2/3 a))) (+ (* -4 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) a)) (* -1/2 a))) x)) (* -1/3 (pow a 2))) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* 1/2 (* a x))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* a (+ (* 1/2 x) (* a (- (* 1/24 (* a (pow x 3))) (* -1/6 (pow x 2))))))
(* a (+ (* 1/2 x) (* a (- (* 1/24 (* a (pow x 3))) (* -1/6 (pow x 2))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow a 3) (- (+ (* 1/24 (pow x 3)) (* 1/3 (/ (pow x 2) a))) (* 1/6 (/ (pow x 2) a))))
(* (pow a 3) (- (+ (* 1/24 (pow x 3)) (+ (* 1/3 (/ (pow x 2) a)) (* 2/3 (/ x (pow a 2))))) (+ (* -1/2 (/ x (pow a 2))) (+ (* 1/6 (/ (pow x 2) a)) (* 4 (/ (- (* 1/3 (pow x 2)) (* 1/6 (pow x 2))) (* (pow a 2) x)))))))
(* (pow a 3) (- (+ (* -1 (/ (+ (* -12 (/ (- (* 1/3 (pow x 2)) (* 1/6 (pow x 2))) (pow x 2))) (* 4 (/ (- (* 2/3 x) (+ (* -1/2 x) (* 4 (/ (- (* 1/3 (pow x 2)) (* 1/6 (pow x 2))) x)))) x))) (pow a 3))) (+ (* 1/24 (pow x 3)) (+ (* 1/3 (/ (pow x 2) a)) (* 2/3 (/ x (pow a 2)))))) (+ (* -1/2 (/ x (pow a 2))) (+ (* 1/6 (/ (pow x 2) a)) (* 4 (/ (- (* 1/3 (pow x 2)) (* 1/6 (pow x 2))) (* (pow a 2) x)))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (- (+ (* -1/3 (/ (pow x 2) a)) (* -1/24 (pow x 3))) (* -1/6 (/ (pow x 2) a)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (- (+ (* -1 (- (* -1/3 (pow x 2)) (* -1/6 (pow x 2)))) (* 2/3 (/ x a))) (+ (* -4 (/ (- (* -1/3 (pow x 2)) (* -1/6 (pow x 2))) (* a x))) (* -1/2 (/ x a)))) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (- (* -1/3 (pow x 2)) (* -1/6 (pow x 2)))) (* -1 (/ (+ (* -1 (- (* 2/3 x) (+ (* -4 (/ (- (* -1/3 (pow x 2)) (* -1/6 (pow x 2))) x)) (* -1/2 x)))) (* -1 (/ (+ (* -12 (/ (- (* -1/3 (pow x 2)) (* -1/6 (pow x 2))) (pow x 2))) (* -4 (/ (- (* 2/3 x) (+ (* -4 (/ (- (* -1/3 (pow x 2)) (* -1/6 (pow x 2))) x)) (* -1/2 x))) x))) a))) a))) a)) (* -1/24 (pow x 3)))))
(* 1/2 (* a x))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ (* 1/2 a) (* x (- (* 1/24 (* (pow a 3) x)) (* -1/6 (pow a 2))))))
(* x (+ (* 1/2 a) (* x (- (* 1/24 (* (pow a 3) x)) (* -1/6 (pow a 2))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow x 3) (- (+ (* 1/24 (pow a 3)) (* 1/3 (/ (pow a 2) x))) (* 1/6 (/ (pow a 2) x))))
(* (pow x 3) (- (+ (* 1/24 (pow a 3)) (+ (* 1/3 (/ (pow a 2) x)) (* 2/3 (/ a (pow x 2))))) (+ (* -1/2 (/ a (pow x 2))) (+ (* 1/6 (/ (pow a 2) x)) (* 4 (/ (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2))) (* a (pow x 2))))))))
(* (pow x 3) (- (+ (* -1 (/ (+ (* -12 (/ (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2))) (pow a 2))) (* 4 (/ (- (* 2/3 a) (+ (* -1/2 a) (* 4 (/ (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2))) a)))) a))) (pow x 3))) (+ (* 1/24 (pow a 3)) (+ (* 1/3 (/ (pow a 2) x)) (* 2/3 (/ a (pow x 2)))))) (+ (* -1/2 (/ a (pow x 2))) (+ (* 1/6 (/ (pow a 2) x)) (* 4 (/ (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2))) (* a (pow x 2))))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (- (+ (* -1/3 (/ (pow a 2) x)) (* -1/24 (pow a 3))) (* -1/6 (/ (pow a 2) x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1 (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2)))) (* 2/3 (/ a x))) (+ (* -4 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) (* a x))) (* -1/2 (/ a x)))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2)))) (* -1 (/ (+ (* -1 (- (* 2/3 a) (+ (* -4 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) a)) (* -1/2 a)))) (* -1 (/ (+ (* -12 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) (pow a 2))) (* -4 (/ (- (* 2/3 a) (+ (* -4 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) a)) (* -1/2 a))) a))) x))) x))) x)) (* -1/24 (pow a 3)))))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
1
1
1
1
1
1
1
1
1
1
1
1
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(/ -1 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 (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* a x)
(* a (+ x (* -1/4 (* (pow a 2) (pow x 3)))))
(* a (+ x (* -1/4 (* (pow a 2) (pow x 3)))))
(* a (+ x (* -1/4 (* (pow a 2) (pow x 3)))))
(* -1/4 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* -1/4 (pow x 3)) (/ x (pow a 2))))
(* (pow a 3) (+ (* -1/4 (pow x 3)) (/ x (pow a 2))))
(* (pow a 3) (+ (* -1/4 (pow x 3)) (/ x (pow a 2))))
(* -1/4 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1 (/ x (pow a 2))) (* 1/4 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ x (pow a 2))) (* 1/4 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ x (pow a 2))) (* 1/4 (pow x 3)))))
(* a x)
(* x (+ a (* -1/4 (* (pow a 3) (pow x 2)))))
(* x (+ a (* -1/4 (* (pow a 3) (pow x 2)))))
(* x (+ a (* -1/4 (* (pow a 3) (pow x 2)))))
(* -1/4 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* -1/4 (pow a 3)) (/ a (pow x 2))))
(* (pow x 3) (+ (* -1/4 (pow a 3)) (/ a (pow x 2))))
(* (pow x 3) (+ (* -1/4 (pow a 3)) (/ a (pow x 2))))
(* -1/4 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* 1/4 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* 1/4 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* 1/4 (pow a 3)))))
1
(+ 1 (* -1/4 (* (pow a 2) (pow x 2))))
(+ 1 (* -1/4 (* (pow a 2) (pow x 2))))
(+ 1 (* -1/4 (* (pow a 2) (pow x 2))))
(* -1/4 (* (pow a 2) (pow x 2)))
(* (pow a 2) (- (/ 1 (pow a 2)) (* 1/4 (pow x 2))))
(* (pow a 2) (- (/ 1 (pow a 2)) (* 1/4 (pow x 2))))
(* (pow a 2) (- (/ 1 (pow a 2)) (* 1/4 (pow x 2))))
(* -1/4 (* (pow a 2) (pow x 2)))
(* (pow a 2) (- (/ 1 (pow a 2)) (* 1/4 (pow x 2))))
(* (pow a 2) (- (/ 1 (pow a 2)) (* 1/4 (pow x 2))))
(* (pow a 2) (- (/ 1 (pow a 2)) (* 1/4 (pow x 2))))
1
(+ 1 (* -1/4 (* (pow a 2) (pow x 2))))
(+ 1 (* -1/4 (* (pow a 2) (pow x 2))))
(+ 1 (* -1/4 (* (pow a 2) (pow x 2))))
(* -1/4 (* (pow a 2) (pow x 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/4 (pow a 2))))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/4 (pow a 2))))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/4 (pow a 2))))
(* -1/4 (* (pow a 2) (pow x 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/4 (pow a 2))))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/4 (pow a 2))))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/4 (pow a 2))))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* 1/6 (* a x))
(* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* 1/6 (* a x))
(* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))
(* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))
(* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* 1/6 x)
(* x (+ 1/6 (* 1/24 (* a x))))
(* x (+ 1/6 (* 1/24 (* a x))))
(* x (+ 1/6 (* 1/24 (* a x))))
(* 1/24 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* (pow x 2) (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* (pow x 2) (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* 1/24 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* (pow x 2) (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* (pow x 2) (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* 1/6 x)
(+ (* 1/24 (* a (pow x 2))) (* 1/6 x))
(+ (* 1/24 (* a (pow x 2))) (* 1/6 x))
(+ (* 1/24 (* a (pow x 2))) (* 1/6 x))
(* 1/24 (* a (pow x 2)))
(* a (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* a (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* a (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* 1/24 (* a (pow x 2)))
(* -1 (* a (+ (* -1/6 (/ x a)) (* -1/24 (pow x 2)))))
(* -1 (* a (+ (* -1/6 (/ x a)) (* -1/24 (pow x 2)))))
(* -1 (* a (+ (* -1/6 (/ x a)) (* -1/24 (pow x 2)))))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* a x))
(* 1/24 (* 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 (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x (.f64 x x)))) (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 a (+.f64 (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) a) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) a)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) a) (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 a a)))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) a) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 a a))) (+.f64 (/.f64 x (.f64 a (.f64 a a))) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) a)))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) a) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) a)))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64)) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 x a)) a)) a)))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 x (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a a)))) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (.f64 x (+.f64 (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) x) (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a a)))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 a a))) x)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a a))) x) (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (.f64 x x)))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a a))) x)) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (.f64 x x)) (/.f64 a (.f64 x (.f64 x x))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 a a))) x)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a a) x)) (.f64 a (.f64 (*.f64 a a) #s(literal -1/6 binary64)))) x)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (-.f64 (.f64 a (.f64 (.f64 a a) #s(literal -1/6 binary64))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x)) x)) x)))
x
(* x (+ 1 (* 1/2 (* a x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a a))) (.f64 a #s(literal 1/2 binary64))))))
(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 a a)) a)) (.f64 #s(literal 1/6 binary64) (.f64 a a))))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 a a)) x)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 a a)) x)) (/.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 x x))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 a a)) x)) (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 a a)) x)))
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(* 1/24 (* (pow a 4) (pow x 4)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))))
(* (pow a 4) (+ (* -1 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
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(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
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(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
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(* 1/24 (* (pow a 4) (pow x 4)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (/ (* a (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2)))) x)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 a a))) x)))
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(* 1/24 (* (pow a 4) (pow x 4)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))))
(* (pow x 4) (+ (* -1 (/ (* a (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2)))) x)) (* 1/24 (pow a 4))))
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x
(* x (+ 1 (* 1/2 (* a x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a a))) (.f64 a #s(literal 1/2 binary64))))))
(* x (+ 1 (* x (+ (* 1/2 a) (* x (- (* 1/24 (* (pow a 3) x)) (* -1/6 (pow a 2))))))))
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(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a))))
(* (pow x 4) (- (+ (* 1/24 (pow a 3)) (* 1/3 (/ (pow a 2) x))) (* 1/6 (/ (pow a 2) x))))
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(* (pow x 4) (- (+ (* 1/24 (pow a 3)) (+ (* 1/3 (/ (pow a 2) x)) (* 2/3 (/ a (pow x 2))))) (+ (* -1/2 (/ a (pow x 2))) (+ (* 1/6 (/ (pow a 2) x)) (* 4 (/ (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2))) (* a (pow x 2))))))))
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(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a))))
(* (pow x 4) (+ (* -1 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
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(* (pow x 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 a) (+ (* -4 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) a)) (* -1/2 a))) x)) (* -1/3 (pow a 2))) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
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(* (pow x 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -12 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) (* (pow a 2) x))) (+ (* -4 (/ (- (* 2/3 a) (+ (* -4 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) a)) (* -1/2 a))) (* a x))) (+ (* 2/3 a) (/ 1 x)))) (+ (* -4 (/ (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2))) a)) (* -1/2 a))) x)) (* -1/3 (pow a 2))) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
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x
(+ x (* 1/2 (* a (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
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(+ x (* a (+ (* 1/2 (pow x 2)) (* a (- (* 1/24 (* a (pow x 4))) (* -1/6 (pow x 3)))))))
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(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a))))
(* (pow a 3) (- (+ (* 1/24 (pow x 4)) (* 1/3 (/ (pow x 3) a))) (* 1/6 (/ (pow x 3) a))))
(.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64)) a)) (.f64 a (*.f64 a a)))
(* (pow a 3) (- (+ (* 1/24 (pow x 4)) (+ (* 1/3 (/ (pow x 3) a)) (* 2/3 (/ (pow x 2) (pow a 2))))) (+ (* -1/2 (/ (pow x 2) (pow a 2))) (+ (* 1/6 (/ (pow x 3) a)) (* 4 (/ (- (* 1/3 (pow x 3)) (* 1/6 (pow x 3))) (* (pow a 2) x)))))))
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(* (pow a 3) (- (+ (* 1/24 (pow x 4)) (+ (* 1/3 (/ (pow x 3) a)) (+ (* 2/3 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))) (+ (* -12 (/ (- (* 1/3 (pow x 3)) (* 1/6 (pow x 3))) (* (pow a 3) (pow x 2)))) (+ (* -1/2 (/ (pow x 2) (pow a 2))) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 4 (/ (- (* 1/3 (pow x 3)) (* 1/6 (pow x 3))) (* (pow a 2) x))) (* 4 (/ (- (* 2/3 (pow x 2)) (+ (* -1/2 (pow x 2)) (* 4 (/ (- (* 1/3 (pow x 3)) (* 1/6 (pow x 3))) x)))) (* (pow a 3) x)))))))))
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(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a))))
(* -1 (* (pow a 3) (- (+ (* -1/3 (/ (pow x 3) a)) (* -1/24 (pow x 4))) (* -1/6 (/ (pow x 3) a)))))
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(* -1 (* (pow a 3) (+ (* -1 (/ (- (+ (* -1 (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3)))) (* 2/3 (/ (pow x 2) a))) (+ (* -4 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) (* a x))) (* -1/2 (/ (pow x 2) a)))) a)) (* -1/24 (pow x 4)))))
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(* 1/4 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 a (.f64 x x)) a) #s(literal 1/4 binary64))
(* 1/4 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 a (.f64 x x)) a) #s(literal 1/4 binary64))
(* 1/4 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 a (.f64 x x)) a) #s(literal 1/4 binary64))
(* 1/4 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 a (.f64 x x)) a) #s(literal 1/4 binary64))
(* 1/4 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 a (.f64 x x)) a) #s(literal 1/4 binary64))
(* 1/4 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 a (.f64 x x)) a) #s(literal 1/4 binary64))
(* 1/4 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 a (.f64 x x)) a) #s(literal 1/4 binary64))
(* 1/4 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 a (.f64 x x)) a) #s(literal 1/4 binary64))
(* 1/4 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 a (.f64 x x)) a) #s(literal 1/4 binary64))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a #s(literal 1/24 binary64)) x))))
(* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a #s(literal 1/24 binary64)) x))))
(* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a #s(literal 1/24 binary64)) x))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 a (.f64 x x)) a))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 a (.f64 x x)) a))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))
(.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a #s(literal 1/24 binary64)) x))))
(* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))
(.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a #s(literal 1/24 binary64)) x))))
(* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))
(.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a #s(literal 1/24 binary64)) x))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 a (.f64 x x)) a))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) a)))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) a)))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) a)))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 a (.f64 x x)) a))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) a)))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) a)))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) a)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/24 (* a x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a #s(literal 1/24 binary64)) x)))
(* x (+ 1/6 (* 1/24 (* a x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a #s(literal 1/24 binary64)) x)))
(* x (+ 1/6 (* 1/24 (* a x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a #s(literal 1/24 binary64)) x)))
(* 1/24 (* a (pow x 2)))
(.f64 (.f64 a (*.f64 x x)) #s(literal 1/24 binary64))
(* (pow x 2) (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (+.f64 (*.f64 a #s(literal 1/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 2) (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (+.f64 (*.f64 a #s(literal 1/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 2) (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (+.f64 (*.f64 a #s(literal 1/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)))
(* 1/24 (* a (pow x 2)))
(.f64 (.f64 a (*.f64 x x)) #s(literal 1/24 binary64))
(* (pow x 2) (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (+.f64 (*.f64 a #s(literal 1/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 2) (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (+.f64 (*.f64 a #s(literal 1/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 2) (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (+.f64 (*.f64 a #s(literal 1/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(+ (* 1/24 (* a (pow x 2))) (* 1/6 x))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a #s(literal 1/24 binary64)) x)))
(+ (* 1/24 (* a (pow x 2))) (* 1/6 x))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a #s(literal 1/24 binary64)) x)))
(+ (* 1/24 (* a (pow x 2))) (* 1/6 x))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a #s(literal 1/24 binary64)) x)))
(* 1/24 (* a (pow x 2)))
(.f64 (.f64 a (*.f64 x x)) #s(literal 1/24 binary64))
(* a (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 a (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (/.f64 (.f64 x #s(literal 1/6 binary64)) a)))
(* a (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 a (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (/.f64 (.f64 x #s(literal 1/6 binary64)) a)))
(* a (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 a (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (/.f64 (.f64 x #s(literal 1/6 binary64)) a)))
(* 1/24 (* a (pow x 2)))
(.f64 (.f64 a (*.f64 x x)) #s(literal 1/24 binary64))
(* -1 (* a (+ (* -1/6 (/ x a)) (* -1/24 (pow x 2)))))
(.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 x a)) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (neg.f64 a))
(* -1 (* a (+ (* -1/6 (/ x a)) (* -1/24 (pow x 2)))))
(.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 x a)) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (neg.f64 a))
(* -1 (* a (+ (* -1/6 (/ x a)) (* -1/24 (pow x 2)))))
(.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 x a)) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (neg.f64 a))
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* 1/24 (* a x))
(.f64 (.f64 a #s(literal 1/24 binary64)) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)
(* (pow a 2) (pow x 2))
(.f64 (.f64 a (*.f64 x x)) a)

eval222.0ms (2.6%)

Compiler: Compiled 64495 to 3197 computations (95% saved)

prune105.0ms (1.2%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	1604	4	1608
Fresh	0	0	0
Picked	2	2	4
Done	0	7	7
Total	1606	13	1619

Accuracy

100.0%

Counts

1619 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.9%	(/.f64 (.f64 (.f64 x #s(literal 1 binary64)) (*.f64 a x)) x)
	72.1%	(/.f64 (.f64 a x) (-.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
✓	67.9%	(+.f64 (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (*.f64 a x))
✓	67.9%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)
✓	68.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
✓	69.0%	(.f64 (.f64 a x) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
✓	67.8%	(.f64 (.f64 a x) (.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)))
✓	22.1%	(.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/2 binary64))))
	67.8%	(.f64 a (+.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))) (.f64 a x)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x #s(literal 1/24 binary64)) a))))) x)))
	67.9%	(.f64 a (+.f64 x (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/576 binary64))) (.f64 a x)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (.f64 a x))))) (.f64 a x)) x)))
✓	67.9%	(.f64 a (+.f64 x (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) a)) (.f64 a x)) x)))
✓	69.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 623 to 263 computations (57.8% saved)

regimes35.0ms (0.4%)

Counts

20 → 1

Calls

Call 1

Inputs
(*.f64 a x)
(.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 x #s(literal 1 binary64)) (*.f64 a x)) x)
(.f64 (.f64 a x) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)
(/.f64 (.f64 a x) (-.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (*.f64 a x))
(.f64 (.f64 a x) (.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
(.f64 a (+.f64 x (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) a)) (.f64 a x)) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a (.f64 x x))))) (.f64 a x)) (-.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(.f64 a (+.f64 x (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (*.f64 a x)) x)))
(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64)))))))
(.f64 a (+.f64 x (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/576 binary64))) (.f64 a x)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (.f64 a x))))) (.f64 a x)) x)))
(.f64 a (+.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))) (.f64 a x)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a x) #s(literal 1/24 binary64)))))) x)))
(.f64 a (+.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))) (.f64 a x)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x #s(literal 1/24 binary64)) a))))) x)))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(/.f64 (expm1.f64 (.f64 (.f64 a (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (exp.f64 (.f64 (*.f64 a x) #s(literal 6 binary64))))))

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

Calls

5 calls:

12.0ms	(*.f64 a x)
7.0ms	x
6.0ms	a
5.0ms	(exp.f64 (*.f64 a x))
4.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

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

Compiler

Compiled 25 to 17 computations (32% saved)

regimes17.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

Inputs
(*.f64 a x)
(.f64 (.f64 a x) (.f64 x (.f64 a #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 x #s(literal 1 binary64)) (*.f64 a x)) x)
(.f64 (.f64 a x) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)
(/.f64 (.f64 a x) (-.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (*.f64 a x))
(.f64 (.f64 a x) (.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
(.f64 a (+.f64 x (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) a)) (.f64 a x)) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a (.f64 x x))))) (.f64 a x)) (-.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(.f64 a (+.f64 x (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (*.f64 a x)) x)))
(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64)))))))
(.f64 a (+.f64 x (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/576 binary64))) (.f64 a x)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (.f64 a x))))) (.f64 a x)) x)))
(.f64 a (+.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))) (.f64 a x)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a x) #s(literal 1/24 binary64)))))) x)))
(.f64 a (+.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))) (.f64 a x)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x #s(literal 1/24 binary64)) a))))) x)))

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

Calls

3 calls:

6.0ms	x
5.0ms	a
5.0ms	(*.f64 a x)

Results

Accuracy	Segments	Branch
72.1%	1	`a`
72.1%	1	`x`
72.1%	1	`(*.f64 a x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes8.0ms (0.1%)

Accuracy

Total -30.1b remaining (-152.4%)

Threshold costs -30.1b (-152.4%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

3 calls:

2.0ms	x
2.0ms	a
2.0ms	(*.f64 a x)

Results

Accuracy	Segments	Branch
69.1%	1	`(*.f64 a x)`
69.1%	1	`a`
69.1%	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	21	18
2	32	18
3	44	18
4	52	18
5	57	18
6	59	18

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.4s (16.8%)

Rules

5362×	`-lowering-.f32`
5362×	`-lowering-.f64`
5346×	`-lowering-.f32`
5346×	`-lowering-.f64`
4536×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	250
1	192	244
2	602	242
3	1415	240
4	2842	240
5	3158	240
6	3365	240
7	3449	240
8	3462	240
9	3464	240
10	4660	240
11	4660	240
12	4660	240
13	5293	236
14	5759	236
15	6785	236
0	8246	236
0	6	4
1	15	4
2	18	4
0	18	4
0	46	242
1	273	222
2	2821	212
0	8981	212
0	713	6793
1	2734	6454
0	9118	6454
0	36	202
1	188	188
2	1655	179
0	8775	179

Stop Event

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

Compiler

Compiled 84 to 54 computations (35.7% saved)

preprocess238.0ms (2.8%)

Remove: (sort a x)
Compiler: Compiled 92 to 56 computations (39.1% saved)

Iter	Nodes	Cost
0	19	30
1	49	30
2	79	30
3	118	30
4	174	30
5	220	30
6	280	30
7	387	30
8	417	30
9	442	30
10	461	30
11	462	30
0	6	4
1	15	4
2	18	4
0	18	4

Iter	Nodes	Cost
0	19	30
1	49	30
2	79	30
3	118	30
4	174	30
5	220	30
6	280	30
7	387	30
8	417	30
9	442	30
10	461	30
11	462	30
0	6	4
1	15	4
2	18	4
0	18	4

analyze31.0ms (0.4%)

sample1.7s (19.9%)

preprocess28.0ms (0.3%)

explain114.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize49.0ms (0.6%)

series3.0ms (0%)

rewrite321.0ms (3.8%)

simplify252.0ms (3%)

eval43.0ms (0.5%)

prune32.0ms (0.4%)

simplify227.0ms (2.7%)

localize323.0ms (3.8%)

series56.0ms (0.7%)

rewrite320.0ms (3.8%)

simplify290.0ms (3.4%)

eval171.0ms (2%)

prune93.0ms (1.1%)

simplify131.0ms (1.5%)

localize159.0ms (1.9%)

series22.0ms (0.3%)

rewrite341.0ms (4%)

simplify288.0ms (3.4%)

eval140.0ms (1.6%)

prune82.0ms (1%)

simplify201.0ms (2.4%)

localize179.0ms (2.1%)

series50.0ms (0.6%)

rewrite393.0ms (4.6%)

simplify414.0ms (4.9%)

eval222.0ms (2.6%)

prune105.0ms (1.2%)

regimes35.0ms (0.4%)

regimes17.0ms (0.2%)

regimes8.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.4s (16.8%)

preprocess238.0ms (2.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	30
1	49	30
2	79	30
3	118	30
4	174	30
5	220	30
6	280	30
7	387	30
8	417	30
9	442	30
10	461	30
11	462	30
0	6	4
1	15	4
2	18	4
0	18	4