Metrics for expax (section 3.5)

analyze50.0ms (0.5%)

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: 11.0ms

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

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

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

ival->: 1.0ms (8.9% of total)

const: 0.0ms (0% of total)

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

sample1.5s (15.4%)

Results

1.0s	5439×	1	valid
215.0ms	2817×	0	valid
16.0ms	298×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 770.0ms

ival-exp: 333.0ms (43.2% of total)

ival-mult: 165.0ms (21.4% of total)

ival-sub: 115.0ms (14.9% of total)

backward-pass: 86.0ms (11.2% of total)

ival->: 57.0ms (7.4% of total)

const: 15.0ms (1.9% of total)

Bogosity

preprocess21.0ms (0.2%)

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)

explain127.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
127	-	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
1	-	-	`(exp.f64 (*.f64 a x))`
0	-	-	`x`
0	-	-	`(*.f64 a x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`a`

Results

81.0ms	334×	1	valid
15.0ms	178×	0	valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-exp: 15.0ms (43.1% of total)

ival-mult: 8.0ms (23% of total)

backward-pass: 6.0ms (17.2% of total)

ival-sub: 5.0ms (14.4% of total)

const: 1.0ms (2.9% of total)

eval3.0ms (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

localize67.0ms (0.7%)

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

51.0ms	167×	5	exit
6.0ms	89×	0	valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

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

backward-pass: 6.0ms (37.4% of total)

compiled-spec: 4.0ms (24.9% of total)

ival-mult: 3.0ms (18.7% of total)

ival-exp: 2.0ms (12.5% of total)

ival-sub: 2.0ms (12.5% 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	a	@	0	(* a x)
0.0ms	x	@	inf	(* a x)

rewrite291.0ms (2.9%)

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	155	7
3	1417	7
0	8359	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 (.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 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 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 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 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 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 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 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 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 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 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 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 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 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 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 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 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 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 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 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 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 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 9 binary64))) #s(literal -1 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 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 6 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 3 binary64)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 6 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 4 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)) #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)))))))
(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)

simplify230.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

4442×	`fma-define`
3688×	`fma-lowering-fma.f32`
3688×	`fma-lowering-fma.f64`
2334×	`-lowering-.f32`
2334×	`-lowering-.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	58	250
1	192	238
2	604	236
3	1416	232
4	2879	232
5	3199	232
6	3406	230
7	3492	230
8	3506	230
9	3508	230
10	4704	230
11	4704	230
12	4704	230
13	5383	230
14	5849	230
15	6875	230
0	8083	230

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

eval38.0ms (0.4%)

Compiler: Compiled 10927 to 740 computations (93.2% saved)

prune42.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	280	6	286
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	280	7	287

Accuracy

100.0%

Counts

287 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))))
▶	67.1%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))))
▶	66.0%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
▶	58.5%	(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 a (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64))))))))))
▶	67.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 234 to 152 computations (35% saved)

simplify169.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3794×	`+-lowering-+.f64`
3794×	`+-lowering-+.f32`
2360×	`-lowering-.f32`
2360×	`-lowering-.f64`
2216×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	308
1	136	289
2	476	284
3	1577	280
4	3326	280
5	5564	280
0	8076	280

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize333.0ms (3.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 a (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64)))))))
✓	accuracy	99.2%	(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 a (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64))))))))))
✓	accuracy	93.0%	(.f64 a (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64))))))
✓	accuracy	89.4%	(.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 a (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 a #s(literal 1/24 binary64))))))))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))))
✓	accuracy	99.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))
✓	accuracy	99.6%	(.f64 (.f64 a x) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 a x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
✓	accuracy	99.9%	(exp.f64 (*.f64 a x))
✓	accuracy	99.8%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
✓	accuracy	99.8%	(.f64 a (.f64 x #s(literal 3 binary64)))

Results

219.0ms	167×	1	valid
52.0ms	89×	0	valid

Compiler

Compiled 335 to 40 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-mult: 51.0ms (37% of total)

ival-add: 19.0ms (13.8% of total)

backward-pass: 19.0ms (13.8% of total)

compiled-spec: 15.0ms (10.9% of total)

ival-exp: 13.0ms (9.4% of total)

...c/correct-round.rkt:119:19: 13.0ms (9.4% of total)

ival-div: 3.0ms (2.2% of total)

ival-sub: 3.0ms (2.2% of total)

const: 2.0ms (1.5% of total)

series39.0ms (0.4%)

Counts

19 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6)))))
2.0ms	a	@	0	(/ (- (exp (* a (* x 3))) 1) (+ (exp (* a (* x 2))) (+ (exp (* a x)) 1)))
1.0ms	a	@	-inf	(* a (* x 3))
1.0ms	x	@	0	(/ (- (exp (* a (* x 3))) 1) (+ (exp (* a (* x 2))) (+ (exp (* a x)) 1)))
1.0ms	a	@	inf	(/ (- (exp (* a (* x 3))) 1) (+ (exp (* a (* x 2))) (+ (exp (* a x)) 1)))

rewrite378.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4114×	`-lowering-.f32`
4114×	`-lowering-.f64`
3026×	`/-lowering-/.f32`
3026×	`/-lowering-/.f64`
2198×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	209
1	247	178
2	2334	176
0	9746	176

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 592

Calls

Call 1

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

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

simplify292.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

5974×	`-lowering-.f32`
5974×	`-lowering-.f64`
2520×	`+-lowering-+.f64`
2520×	`+-lowering-+.f32`
1770×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	466	5058
1	1762	4560
2	6673	4473
0	8457	4473

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))
(.f64 a (+.f64 x (.f64 a (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) (*.f64 x x)))))
(* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 a (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 5/2 binary64)))) (.f64 x (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) (.f64 x x)))))) (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) (*.f64 x x))))))
(* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (+ (* 3/2 (pow x 3)) (* a (- (* 9/8 (pow x 4)) (+ (* 1/3 (* x (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3))))) (+ (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x)))))))))))) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) (-.f64 (.f64 a (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x x))) (-.f64 (.f64 a (-.f64 (.f64 #s(literal 9/8 binary64) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 (.f64 x (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 5/2 binary64)))) (.f64 x (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) (.f64 x x)))))) (+.f64 (.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) (.f64 x x)) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 5/2 binary64)))) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x x))))))))) (+.f64 (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 5/2 binary64)))) (.f64 x (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) (.f64 x x))))))) (.f64 x x))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(* a x)
(*.f64 a x)
(* x (+ a (* x (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))
(.f64 x (+.f64 a (.f64 x (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (.f64 a (.f64 #s(literal 1 binary64) a))))))
(* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (-.f64 (.f64 x (-.f64 (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 a (.f64 a a))) (.f64 #s(literal -1/3 binary64) (.f64 a (.f64 (.f64 a a) #s(literal 5/2 binary64))))) (.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (.f64 a (.f64 #s(literal 1 binary64) a))) (.f64 #s(literal 1 binary64) a)))) (.f64 a (.f64 #s(literal 1 binary64) a)))))))
(* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (+ (* 3/2 (pow a 3)) (* x (- (* 9/8 (pow a 4)) (+ (* 1/3 (* a (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))))) (+ (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a)))))))))))) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal 9/8 binary64) (.f64 (.f64 a (.f64 a a)) a)) (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 a (.f64 #s(literal 3/2 binary64) (.f64 a (.f64 a a)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 a (.f64 a a))) (.f64 #s(literal -1/3 binary64) (.f64 a (.f64 (.f64 a a) #s(literal 5/2 binary64))))) (.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (.f64 a (.f64 #s(literal 1 binary64) a))) (.f64 #s(literal 1 binary64) a))) (.f64 a #s(literal 3 binary64))) (.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (.f64 a (.f64 #s(literal 1 binary64) a))) (.f64 (.f64 a a) #s(literal 5/2 binary64)))))))) (-.f64 (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 a (.f64 a a))) (.f64 #s(literal -1/3 binary64) (.f64 a (.f64 (.f64 a a) #s(literal 5/2 binary64))))) (.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (.f64 a (.f64 #s(literal 1 binary64) a))) (.f64 #s(literal 1 binary64) a))))) (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (.f64 a (.f64 #s(literal 1 binary64) a)))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* a (+ (* 3 x) (* 9/2 (* a (pow x 2)))))
(.f64 x (+.f64 (.f64 a #s(literal 3 binary64)) (.f64 x (.f64 a (*.f64 a #s(literal 9/2 binary64))))))
(* a (+ (* 3 x) (* a (+ (* 9/2 (* a (pow x 3))) (* 9/2 (pow x 2))))))
(.f64 a (+.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 a #s(literal 9/2 binary64)) (+.f64 (.f64 x x) (.f64 a (.f64 x (.f64 x x)))))))
(* a (+ (* 3 x) (* a (+ (* 9/2 (pow x 2)) (* a (+ (* 27/8 (* a (pow x 4))) (* 9/2 (pow x 3))))))))
(.f64 a (+.f64 (.f64 x #s(literal 3 binary64)) (.f64 a (+.f64 (.f64 x (.f64 x #s(literal 9/2 binary64))) (.f64 a (+.f64 (.f64 a (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 27/8 binary64))) (.f64 x (.f64 x (.f64 x #s(literal 9/2 binary64))))))))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* x (+ (* 3 a) (* 9/2 (* (pow a 2) x))))
(.f64 x (+.f64 (.f64 a #s(literal 3 binary64)) (.f64 x (.f64 a (*.f64 a #s(literal 9/2 binary64))))))
(* x (+ (* 3 a) (* x (+ (* 9/2 (* (pow a 3) x)) (* 9/2 (pow a 2))))))
(.f64 x (+.f64 (.f64 a #s(literal 3 binary64)) (.f64 #s(literal 9/2 binary64) (.f64 (+.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a x)))) x))))
(* x (+ (* 3 a) (* x (+ (* 9/2 (pow a 2)) (* x (+ (* 27/8 (* (pow a 4) x)) (* 9/2 (pow a 3))))))))
(.f64 x (+.f64 (.f64 a #s(literal 3 binary64)) (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 9/2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 27/8 binary64) (.f64 x (.f64 (.f64 a (.f64 a a)) a))) (.f64 a (.f64 a (.f64 a #s(literal 9/2 binary64))))))))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
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(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/24 binary64)) (/.f64 (-.f64 (.f64 a (.f64 a #s(literal -1/6 binary64))) (/.f64 (+.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) x)) x)))
x
(+ x (* 1/2 (* a (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+.f64 x (.f64 a (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 #s(literal 1/6 binary64) x)))))))
(+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))
(+.f64 x (.f64 a (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 (.f64 a a) #s(literal 1/24 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 #s(literal 1/6 binary64) x))))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 (.f64 a (*.f64 a a)) #s(literal 1/24 binary64)))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 x x) a)))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/24 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 x x) a))) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 a a)))))
(* (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))))))
(.f64 a (.f64 (.f64 a a) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/24 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 x x) a))) (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 a a)) (/.f64 x (.f64 a (*.f64 a a))))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 (.f64 a (*.f64 a a)) #s(literal 1/24 binary64)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))
(.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64)) a) (.f64 (.f64 (.f64 x (*.f64 x x)) x) #s(literal -1/24 binary64))) #s(literal -1 binary64)))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/24 binary64)) (/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) a)) a)) (.f64 (.f64 a (*.f64 a a)) #s(literal -1 binary64)))
(* -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)))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/24 binary64)) (/.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (/.f64 x a)) a)) a)) (.f64 (.f64 a (*.f64 a a)) #s(literal -1 binary64)))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))
(.f64 a (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 #s(literal 1/6 binary64) x))))))
(* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))
(.f64 a (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 (.f64 a a) #s(literal 1/24 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 #s(literal 1/6 binary64) x)))))))
(* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))
(.f64 a (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 (.f64 a a) #s(literal 1/24 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 #s(literal 1/6 binary64) x)))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 (.f64 a (*.f64 a a)) #s(literal 1/24 binary64)))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 x x) a)))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/24 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 x x) a))) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 a a)))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/24 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 x x) a))) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 a a)))))
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 (.f64 a (*.f64 a a)) #s(literal 1/24 binary64)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))
(.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64)) a) (.f64 (.f64 (.f64 x (*.f64 x x)) x) #s(literal -1/24 binary64))) #s(literal -1 binary64)))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/24 binary64)) (/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) a)) a)) (.f64 (.f64 a (*.f64 a a)) #s(literal -1 binary64)))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/24 binary64)) (/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) a)) a)) (.f64 (.f64 a (*.f64 a a)) #s(literal -1 binary64)))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(.f64 a (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 #s(literal 1/6 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 a (.f64 a #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/24 binary64)))))))
(* (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 a (.f64 a #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/24 binary64)))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 (.f64 a (*.f64 a a)) #s(literal 1/24 binary64)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (*.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 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/24 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 a a) x)) (/.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) x) x))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/24 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 a a) x)) (/.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) x) x))))
(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 (.f64 a (*.f64 a a)) #s(literal 1/24 binary64)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 a a) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/24 binary64)) (/.f64 (+.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) x)) (.f64 a (.f64 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 (.f64 (.f64 x (.f64 x x)) x) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/24 binary64)) (/.f64 (+.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) x)) (.f64 a (.f64 a #s(literal -1/6 binary64)))) x)))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 #s(literal 1/6 binary64) x)))))))))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 a (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a)))))))))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
1
#s(literal 1 binary64)
(+ 1 (* 2 (* a x)))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 2 binary64))))
(+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 2 binary64) (+.f64 a (.f64 a (.f64 a x))))))
(+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 a (+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4/3 binary64) (.f64 a (.f64 x (*.f64 x x)))))))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (* a x)))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 2 binary64))))
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 2 binary64) (+.f64 a (.f64 a (.f64 a x))))))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 a #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (.f64 x (.f64 #s(literal 4/3 binary64) (.f64 a (*.f64 a a)))))))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a (pow x 3)))
(.f64 x (.f64 a (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))
(.f64 a (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) x) (*.f64 a #s(literal 1/24 binary64)))))
(* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))
(.f64 a (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) x) (*.f64 a #s(literal 1/24 binary64)))))
(* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))
(.f64 a (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) x) (*.f64 a #s(literal 1/24 binary64)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 (.f64 a a) #s(literal 1/24 binary64)))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (*.f64 x x) a)))))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (*.f64 x x) a)))))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (*.f64 x x) a)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 (.f64 a a) #s(literal 1/24 binary64)))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (*.f64 x x) a)))))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (*.f64 x x) a)))))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (*.f64 x x) a)))))
(* 1/6 (* a (pow x 3)))
(.f64 x (.f64 a (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(* (pow x 3) (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) (*.f64 a #s(literal 1/6 binary64))))
(* (pow x 3) (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) (*.f64 a #s(literal 1/6 binary64))))
(* (pow x 3) (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) (*.f64 a #s(literal 1/6 binary64))))
(* 1/24 (* (pow a 2) (pow x 4)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 (.f64 a a) #s(literal 1/24 binary64)))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* 1/24 (* (pow a 2) (pow x 4)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 (.f64 a a) #s(literal 1/24 binary64)))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))

eval158.0ms (1.6%)

Compiler: Compiled 37146 to 2747 computations (92.6% saved)

prune105.0ms (1.1%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1251	7	1258
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	1253	12	1265

Accuracy

100.0%

Counts

1265 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
▶	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))))
	66.0%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)
	17.1%	(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 (.f64 (.f64 (.f64 a (.f64 a a)) a) #s(literal 1/24 binary64)) (/.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (+.f64 (.f64 a (*.f64 a #s(literal 1/2 binary64))) (/.f64 a x)) x)) x)))
	67.1%	(.f64 (.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)
▶	19.6%	(.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/2 binary64))))
✓	67.1%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))))
▶	66.7%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a (.f64 a x))))))
▶	25.7%	(.f64 a (+.f64 x (.f64 a (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (.f64 a (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64)))))) a))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64)))))) a))))))))
▶	60.0%	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) (*.f64 a #s(literal 1/6 binary64)))))))))
✓	67.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 506 to 286 computations (43.5% saved)

simplify218.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 a (+.f64 x (.f64 a (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (.f64 a (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64)))))) a))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64)))))) a))))))))
✓	cost-diff	128	(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (.f64 a (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64)))))) a))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64)))))) a)))))
✓	cost-diff	256	(-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64)))))) a)))
✓	cost-diff	512	(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (.f64 a (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 a #s(literal 1/24 binary64)))))) a)))))
✓	cost-diff	0	(.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) (.f64 a #s(literal 1/6 binary64)))))))
✓	cost-diff	0	(+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) (.f64 a #s(literal 1/6 binary64))))))))
✓	cost-diff	0	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) (*.f64 a #s(literal 1/6 binary64)))))))))
✓	cost-diff	128	(+.f64 (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) (.f64 a #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a (.f64 a x))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a (.f64 a x)))))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a (.f64 a x))))))
✓	cost-diff	0	(*.f64 a #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 a (.f64 a #s(literal 1/2 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))
✓	cost-diff	0	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))))
✓	cost-diff	128	(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))))

Rules

5916×	`-lowering-.f32`
5916×	`-lowering-.f64`
1524×	`+-lowering-+.f64`
1524×	`+-lowering-+.f32`
1352×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	754
1	227	607
2	784	581
3	3523	576
4	7613	576
0	8338	576

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize610.0ms (6.2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	88.2%	(.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 a #s(literal 1/24 binary64)))))) a)
✓	accuracy	82.8%	(-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64)))))) a)))
✓	accuracy	74.5%	(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (.f64 a (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 a #s(literal 1/24 binary64)))))) a)))))
✓	accuracy	41.1%	(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (.f64 a (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64)))))) a))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64)))))) a)))))
✓	accuracy	98.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) (*.f64 a #s(literal 1/6 binary64))))))
✓	accuracy	97.5%	(.f64 x (+.f64 (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) (*.f64 a #s(literal 1/6 binary64))))
✓	accuracy	90.8%	(.f64 x (.f64 (*.f64 a a) #s(literal 1/24 binary64)))
✓	accuracy	89.4%	(.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) (.f64 a #s(literal 1/6 binary64)))))))
✓	accuracy	100.0%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a (.f64 a x))))))
✓	accuracy	99.8%	(.f64 a (.f64 a x))
✓	accuracy	99.8%	(.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a (.f64 a x))))
✓	accuracy	92.5%	(.f64 x (.f64 a (*.f64 a x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 a (.f64 a #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 a #s(literal 1/2 binary64))
✓	accuracy	76.9%	(.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/2 binary64))))
✓	accuracy	99.9%	(exp.f64 (*.f64 a x))
✓	accuracy	99.8%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))))
✓	accuracy	99.8%	(.f64 a (.f64 x #s(literal 3 binary64)))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))))

Results

243.0ms	130×	1	valid
156.0ms	37×	5	exit
80.0ms	89×	0	valid

Compiler

Compiled 864 to 65 computations (92.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 225.0ms

ival-mult: 96.0ms (42.6% of total)

backward-pass: 51.0ms (22.7% of total)

ival-add: 20.0ms (8.9% of total)

ival-exp: 14.0ms (6.2% of total)

compiled-spec: 14.0ms (6.2% of total)

...c/correct-round.rkt:119:19: 13.0ms (5.8% of total)

ival-sub: 8.0ms (3.6% of total)

ival-div: 7.0ms (3.1% of total)

const: 2.0ms (0.9% of total)

series64.0ms (0.7%)

Counts

28 → 636

Calls

Call 1

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

Outputs
#<alt (* a x)>
#<alt (* a (+ x (* a (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))))))>
#<alt (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 x) (* -1 x)))))))) (* 1/3 (* x (- (* 2 x) (* -1 x))))))))>
#<alt (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (+ (* 3/2 (pow x 3)) (* a (- (* 9/8 (pow x 4)) (+ (* 1/3 (* x (- (* 4/3 (pow x 3)) (* -1/6 (pow x 3))))) (+ (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 x) (* -1 x)))))) (- (* 2 x) (* -1 x))))))))) (+ (* 1/3 (* x (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 x) (* -1 x)))))))) (* 1/3 (* x (- (* 2 x) (* -1 x))))))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (* a x)>
#<alt (* x (+ a (* x (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))))))>
#<alt (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 a) (* -1 a)))))))) (* 1/3 (* a (- (* 2 a) (* -1 a))))))))>
#<alt (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (+ (* 3/2 (pow a 3)) (* x (- (* 9/8 (pow a 4)) (+ (* 1/3 (* a (- (* 4/3 (pow a 3)) (* -1/6 (pow a 3))))) (+ (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 a) (* -1 a)))))) (- (* 2 a) (* -1 a))))))))) (+ (* 1/3 (* a (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 a) (* -1 a)))))))) (* 1/3 (* a (- (* 2 a) (* -1 a))))))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))>
#<alt 3>
#<alt (+ 3 (* a (- (* 2 x) (* -1 x))))>
#<alt (+ 3 (* a (- (+ (* 2 x) (* a (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* -1 x))))>
#<alt (+ 3 (* a (- (+ (* 2 x) (* a (- (+ (* 2 (pow x 2)) (* a (- (* 4/3 (pow x 3)) (* -1/6 (pow x 3))))) (* -1/2 (pow x 2))))) (* -1 x))))>
#<alt (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))>
#<alt (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))>
#<alt (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))>
#<alt (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))>
#<alt (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))>
#<alt (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))>
#<alt (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))>
#<alt (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))>
#<alt 3>
#<alt (+ 3 (* x (- (* 2 a) (* -1 a))))>
#<alt (+ 3 (* x (- (+ (* 2 a) (* x (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* -1 a))))>
#<alt (+ 3 (* x (- (+ (* 2 a) (* x (- (+ (* 2 (pow a 2)) (* x (- (* 4/3 (pow a 3)) (* -1/6 (pow a 3))))) (* -1/2 (pow a 2))))) (* -1 a))))>
#<alt (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))>
#<alt (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))>
#<alt (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))>
#<alt (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))>
#<alt (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))>
#<alt (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))>
#<alt (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))>
#<alt (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))>
#<alt (/ 1 (* a x))>
#<alt (/ (+ (* a (- (* 1/3 (/ (- (* 2 x) (* -1 x)) x)) 3/2)) (/ 1 x)) a)>
#<alt (/ (+ (* a (- (+ (* 1/3 (/ (- (* 2 x) (* -1 x)) x)) (* a (- (* 1/3 (/ (- (* 2 (pow x 2)) (* -1/2 (pow x 2))) x)) (+ (* 3/2 x) (* 3/2 (* x (- (* 1/3 (/ (- (* 2 x) (* -1 x)) x)) 3/2))))))) 3/2)) (/ 1 x)) a)>
#<alt (/ (+ (* a (- (+ (* 1/3 (/ (- (* 2 x) (* -1 x)) x)) (* a (- (+ (* 1/3 (/ (- (* 2 (pow x 2)) (* -1/2 (pow x 2))) x)) (* a (- (* 1/3 (/ (- (* 4/3 (pow x 3)) (* -1/6 (pow x 3))) x)) (+ (* 9/8 (pow x 2)) (+ (* 3/2 (* x (- (* 1/3 (/ (- (* 2 (pow x 2)) (* -1/2 (pow x 2))) x)) (+ (* 3/2 x) (* 3/2 (* x (- (* 1/3 (/ (- (* 2 x) (* -1 x)) x)) 3/2))))))) (* 3/2 (* (pow x 2) (- (* 1/3 (/ (- (* 2 x) (* -1 x)) x)) 3/2)))))))) (+ (* 3/2 x) (* 3/2 (* x (- (* 1/3 (/ (- (* 2 x) (* -1 x)) x)) 3/2))))))) 3/2)) (/ 1 x)) a)>
#<alt (/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ 1 (* a x))>
#<alt (/ (+ (* x (- (* 1/3 (/ (- (* 2 a) (* -1 a)) a)) 3/2)) (/ 1 a)) x)>
#<alt (/ (+ (* x (- (+ (* 1/3 (/ (- (* 2 a) (* -1 a)) a)) (* x (- (* 1/3 (/ (- (* 2 (pow a 2)) (* -1/2 (pow a 2))) a)) (+ (* 3/2 a) (* 3/2 (* a (- (* 1/3 (/ (- (* 2 a) (* -1 a)) a)) 3/2))))))) 3/2)) (/ 1 a)) x)>
#<alt (/ (+ (* x (- (+ (* 1/3 (/ (- (* 2 a) (* -1 a)) a)) (* x (- (+ (* 1/3 (/ (- (* 2 (pow a 2)) (* -1/2 (pow a 2))) a)) (* x (- (* 1/3 (/ (- (* 4/3 (pow a 3)) (* -1/6 (pow a 3))) a)) (+ (* 9/8 (pow a 2)) (+ (* 3/2 (* a (- (* 1/3 (/ (- (* 2 (pow a 2)) (* -1/2 (pow a 2))) a)) (+ (* 3/2 a) (* 3/2 (* a (- (* 1/3 (/ (- (* 2 a) (* -1 a)) a)) 3/2))))))) (* 3/2 (* (pow a 2) (- (* 1/3 (/ (- (* 2 a) (* -1 a)) a)) 3/2)))))))) (+ (* 3/2 a) (* 3/2 (* a (- (* 1/3 (/ (- (* 2 a) (* -1 a)) a)) 3/2))))))) 3/2)) (/ 1 a)) x)>
#<alt (/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt 2>
#<alt (+ 2 (* 2 (* a x)))>
#<alt (+ 2 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))>
#<alt (+ 2 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt 2>
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#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 (* a x))))>
#<alt (* (pow x 2) (+ 1/2 (* x (- (* 1/24 (* (pow a 2) x)) (* -1/6 a)))))>
#<alt (* (pow x 2) (+ 1/2 (* x (- (* 1/24 (* (pow a 2) x)) (* -1/6 a)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 4)))>
#<alt (* (pow x 4) (- (+ (* 1/24 (pow a 2)) (* 1/3 (/ a x))) (* 1/6 (/ a x))))>
#<alt (* (pow x 4) (- (+ (* 1/24 (pow a 2)) (+ (* 1/3 (/ a x)) (/ 7/6 (pow x 2)))) (+ (* 1/6 (/ a x)) (* 4 (/ (- (* 1/3 a) (* 1/6 a)) (* a (pow x 2)))))))>
#<alt (* (pow x 4) (- (+ (* -1 (/ (+ (* -12 (/ (- (* 1/3 a) (* 1/6 a)) (pow a 2))) (* 4 (/ (- 7/6 (* 4 (/ (- (* 1/3 a) (* 1/6 a)) a))) a))) (pow x 3))) (+ (* 1/24 (pow a 2)) (+ (* 1/3 (/ a x)) (/ 7/6 (pow x 2))))) (+ (* 1/6 (/ a x)) (* 4 (/ (- (* 1/3 a) (* 1/6 a)) (* a (pow x 2)))))))>
#<alt (* 1/24 (* (pow a 2) (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1 (/ (- (* -1/3 a) (* -1/6 a)) x)) (* 1/24 (pow a 2))))>
#<alt (* (pow x 4) (+ (* -1 (/ (- (+ (* -1 (/ (- 7/6 (* -4 (/ (- (* -1/3 a) (* -1/6 a)) a))) x)) (* -1/3 a)) (* -1/6 a)) x)) (* 1/24 (pow a 2))))>
#<alt (* (pow x 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ 7/6 (+ (* -12 (/ (- (* -1/3 a) (* -1/6 a)) (* (pow a 2) x))) (* -4 (/ (- 7/6 (* -4 (/ (- (* -1/3 a) (* -1/6 a)) a))) (* a x))))) (* -4 (/ (- (* -1/3 a) (* -1/6 a)) a))) x)) (* -1/3 a)) (* -1/6 a)) x)) (* 1/24 (pow a 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))>
#<alt (+ (* 1/2 (pow x 2)) (* a (- (* 1/24 (* a (pow x 4))) (* -1/6 (pow x 3)))))>
#<alt (+ (* 1/2 (pow x 2)) (* a (- (* 1/24 (* a (pow x 4))) (* -1/6 (pow x 3)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 4)))>
#<alt (* (pow a 2) (- (+ (* 1/24 (pow x 4)) (* 1/3 (/ (pow x 3) a))) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 2) (- (+ (* 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)))))))>
#<alt (* (pow a 2) (- (+ (* -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)))))))>
#<alt (* 1/24 (* (pow a 2) (pow x 4)))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* (pow a 2) (+ (* -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))))>
#<alt (* (pow a 2) (+ (* -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)))) (+ (* -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))))>
#<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) (- (+ (* -1/6 (/ (pow x 3) a)) (* 1/24 (pow x 4))) (* -1/3 (/ (pow x 3) a))))>
#<alt (* (pow a 4) (- (+ (* -1/6 (/ (pow x 3) a)) (+ (* 1/24 (pow x 4)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (* 4 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) (* (pow a 2) x)))))) (+ (* -2/3 (/ (pow x 2) (pow a 2))) (* -1/3 (/ (pow x 3) a)))))>
#<alt (* (pow a 4) (- (+ (* -12 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) (* (pow a 3) (pow x 2)))) (+ (* -1/6 (/ (pow x 3) a)) (+ (* 1/24 (pow x 4)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (+ (* 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))) (+ (* 4 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) (* (pow a 2) x))) (/ x (pow a 3)))))))) (+ (* -2/3 (/ (pow x 2) (pow a 2))) (* -1/3 (/ (pow x 3) a)))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* -1 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* (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))))>
#<alt (* (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))))>
#<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)) (/ (* a (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2)))) x)))>
#<alt (* (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)))))>
#<alt (* (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))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1 (/ (* a (- (* -1/3 (pow a 2)) (* -1/6 (pow a 2)))) x)) (* 1/24 (pow a 4))))>
#<alt (* (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))))>
#<alt (* (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))))>
#<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 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<alt (* 1/24 (* (pow a 2) x))>
#<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 (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 (* a x))))>
#<alt (* (pow x 2) (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))>
#<alt (* (pow x 2) (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))>
#<alt (* (pow x 4) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))>
#<alt (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))>
#<alt (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 4)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* 1/24 (* (pow a 2) (pow x 4)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* 1/6 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))>
#<alt (* (pow x 2) (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))>
#<alt (* (pow x 2) (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))>
#<alt (* 1/6 (* a (pow x 2)))>
#<alt (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))>
#<alt (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))>
#<alt (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>

Calls

159 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(/ 1 (/ (- (+ 1 (exp (* a (* x 2)))) (* (exp (* a x)) -1)) (- (exp (* a (* x 3))) 1)))
5.0ms	x	@	0	(+ (* x (* (* a a) 1/24)) (* a 1/6))
2.0ms	a	@	-inf	(* (- (* 1/4 (* (* x x) (* x x))) (* (* x (* x (* x (+ 1/6 (* x (* a 1/24)))))) (* a (* x (* (* x (* x (+ 1/6 (* x (* a 1/24))))) a))))) (/ 1 (- (* x (* x 1/2)) (* x (* (* x (* x (+ 1/6 (* x (* a 1/24))))) a)))))
1.0ms	a	@	inf	(* a (+ x (* a (* (- (* 1/4 (* (* x x) (* x x))) (* (* x (* x (* x (+ 1/6 (* x (* a 1/24)))))) (* a (* x (* (* x (* x (+ 1/6 (* x (* a 1/24))))) a))))) (/ 1 (- (* x (* x 1/2)) (* x (* (* x (* x (+ 1/6 (* x (* a 1/24))))) a))))))))
1.0ms	a	@	0	(/ 1 (/ (- (+ 1 (exp (* a (* x 2)))) (* (exp (* a x)) -1)) (- (exp (* a (* x 3))) 1)))

rewrite302.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

4142×	`-lowering-.f32`
4142×	`-lowering-.f64`
1832×	`pow-lowering-pow.f64`
1832×	`pow-lowering-pow.f32`
1562×	`unpow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	416
1	393	301
2	3460	297
0	8190	297

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 511

Calls

Call 1

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

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

simplify466.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

5348×	`+-lowering-+.f64`
5348×	`+-lowering-+.f32`
5190×	`-lowering-.f32`
5190×	`-lowering-.f64`
1102×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	935	8625
1	3456	7722
0	8199	7722

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* a (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))))))
(* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 x) (* -1 x)))))))) (* 1/3 (* x (- (* 2 x) (* -1 x))))))))
(* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (+ (* 3/2 (pow x 3)) (* a (- (* 9/8 (pow x 4)) (+ (* 1/3 (* x (- (* 4/3 (pow x 3)) (* -1/6 (pow x 3))))) (+ (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 x) (* -1 x)))))) (- (* 2 x) (* -1 x))))))))) (+ (* 1/3 (* x (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 x) (* -1 x)))))))) (* 1/3 (* x (- (* 2 x) (* -1 x))))))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(* a x)
(* x (+ a (* x (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))))))
(* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 a) (* -1 a)))))))) (* 1/3 (* a (- (* 2 a) (* -1 a))))))))
(* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (+ (* 3/2 (pow a 3)) (* x (- (* 9/8 (pow a 4)) (+ (* 1/3 (* a (- (* 4/3 (pow a 3)) (* -1/6 (pow a 3))))) (+ (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 a) (* -1 a)))))) (- (* 2 a) (* -1 a))))))))) (+ (* 1/3 (* a (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 a) (* -1 a)))))))) (* 1/3 (* a (- (* 2 a) (* -1 a))))))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
3
(+ 3 (* a (- (* 2 x) (* -1 x))))
(+ 3 (* a (- (+ (* 2 x) (* a (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* -1 x))))
(+ 3 (* a (- (+ (* 2 x) (* a (- (+ (* 2 (pow x 2)) (* a (- (* 4/3 (pow x 3)) (* -1/6 (pow x 3))))) (* -1/2 (pow x 2))))) (* -1 x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
3
(+ 3 (* x (- (* 2 a) (* -1 a))))
(+ 3 (* x (- (+ (* 2 a) (* x (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* -1 a))))
(+ 3 (* x (- (+ (* 2 a) (* x (- (+ (* 2 (pow a 2)) (* x (- (* 4/3 (pow a 3)) (* -1/6 (pow a 3))))) (* -1/2 (pow a 2))))) (* -1 a))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(/ 1 (* a x))
(/ (+ (* a (- (* 1/3 (/ (- (* 2 x) (* -1 x)) x)) 3/2)) (/ 1 x)) a)
(/ (+ (* a (- (+ (* 1/3 (/ (- (* 2 x) (* -1 x)) x)) (* a (- (* 1/3 (/ (- (* 2 (pow x 2)) (* -1/2 (pow x 2))) x)) (+ (* 3/2 x) (* 3/2 (* x (- (* 1/3 (/ (- (* 2 x) (* -1 x)) x)) 3/2))))))) 3/2)) (/ 1 x)) a)
(/ (+ (* a (- (+ (* 1/3 (/ (- (* 2 x) (* -1 x)) x)) (* a (- (+ (* 1/3 (/ (- (* 2 (pow x 2)) (* -1/2 (pow x 2))) x)) (* a (- (* 1/3 (/ (- (* 4/3 (pow x 3)) (* -1/6 (pow x 3))) x)) (+ (* 9/8 (pow x 2)) (+ (* 3/2 (* x (- (* 1/3 (/ (- (* 2 (pow x 2)) (* -1/2 (pow x 2))) x)) (+ (* 3/2 x) (* 3/2 (* x (- (* 1/3 (/ (- (* 2 x) (* -1 x)) x)) 3/2))))))) (* 3/2 (* (pow x 2) (- (* 1/3 (/ (- (* 2 x) (* -1 x)) x)) 3/2)))))))) (+ (* 3/2 x) (* 3/2 (* x (- (* 1/3 (/ (- (* 2 x) (* -1 x)) x)) 3/2))))))) 3/2)) (/ 1 x)) a)
(/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/ 1 (* a x))
(/ (+ (* x (- (* 1/3 (/ (- (* 2 a) (* -1 a)) a)) 3/2)) (/ 1 a)) x)
(/ (+ (* x (- (+ (* 1/3 (/ (- (* 2 a) (* -1 a)) a)) (* x (- (* 1/3 (/ (- (* 2 (pow a 2)) (* -1/2 (pow a 2))) a)) (+ (* 3/2 a) (* 3/2 (* a (- (* 1/3 (/ (- (* 2 a) (* -1 a)) a)) 3/2))))))) 3/2)) (/ 1 a)) x)
(/ (+ (* x (- (+ (* 1/3 (/ (- (* 2 a) (* -1 a)) a)) (* x (- (+ (* 1/3 (/ (- (* 2 (pow a 2)) (* -1/2 (pow a 2))) a)) (* x (- (* 1/3 (/ (- (* 4/3 (pow a 3)) (* -1/6 (pow a 3))) a)) (+ (* 9/8 (pow a 2)) (+ (* 3/2 (* a (- (* 1/3 (/ (- (* 2 (pow a 2)) (* -1/2 (pow a 2))) a)) (+ (* 3/2 a) (* 3/2 (* a (- (* 1/3 (/ (- (* 2 a) (* -1 a)) a)) 3/2))))))) (* 3/2 (* (pow a 2) (- (* 1/3 (/ (- (* 2 a) (* -1 a)) a)) 3/2)))))))) (+ (* 3/2 a) (* 3/2 (* a (- (* 1/3 (/ (- (* 2 a) (* -1 a)) a)) 3/2))))))) 3/2)) (/ 1 a)) x)
(/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/ (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
2
(+ 2 (* 2 (* a x)))
(+ 2 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(+ 2 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
2
(+ 2 (* 2 (* a x)))
(+ 2 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(+ 2 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 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)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 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 (* 1/6 (* (pow a 2) (pow x 3)))))
(* a (+ x (* 1/6 (* (pow a 2) (pow x 3)))))
(* a (+ x (* 1/6 (* (pow a 2) (pow x 3)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1 (/ x (pow a 2))) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ x (pow a 2))) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ x (pow a 2))) (* -1/6 (pow x 3)))))
(* a x)
(* x (+ a (* 1/6 (* (pow a 3) (pow x 2)))))
(* x (+ a (* 1/6 (* (pow a 3) (pow x 2)))))
(* x (+ a (* 1/6 (* (pow a 3) (pow x 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (/ a (pow x 2))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (/ a (pow x 2))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (/ a (pow x 2))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* -1/6 (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 (* 1/6 (* (pow a 2) (pow x 2))))
(+ 1 (* 1/6 (* (pow a 2) (pow x 2))))
(+ 1 (* 1/6 (* (pow a 2) (pow x 2))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))
1
(+ 1 (* 1/6 (* (pow a 2) (pow x 2))))
(+ 1 (* 1/6 (* (pow a 2) (pow x 2))))
(+ 1 (* 1/6 (* (pow a 2) (pow x 2))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 a)
(+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))
(+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))
(+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))
(* 1/24 (* (pow a 2) x))
(* x (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* x (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* x (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* 1/24 (* (pow a 2) x))
(* -1 (* x (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* -1 (* x (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* -1 (* x (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* 1/6 a)
(* a (+ 1/6 (* 1/24 (* a x))))
(* a (+ 1/6 (* 1/24 (* a x))))
(* a (+ 1/6 (* 1/24 (* a x))))
(* 1/24 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/24 x) (* 1/6 (/ 1 a))))
(* (pow a 2) (+ (* 1/24 x) (* 1/6 (/ 1 a))))
(* (pow a 2) (+ (* 1/24 x) (* 1/6 (/ 1 a))))
(* 1/24 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/24 x) (* 1/6 (/ 1 a))))
(* (pow a 2) (+ (* 1/24 x) (* 1/6 (/ 1 a))))
(* (pow a 2) (+ (* 1/24 x) (* 1/6 (/ 1 a))))
(* 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))))
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* -1/36 (* (pow a 2) (pow x 2)))))
(* (pow x 4) (+ 1/4 (* (pow x 2) (- (* -1/72 (* (pow a 3) x)) (* 1/36 (pow a 2))))))
(* (pow x 4) (+ 1/4 (* (pow x 2) (- (* x (- (* -1/576 (* (pow a 4) x)) (* 1/72 (pow a 3)))) (* 1/36 (pow a 2))))))
(* -1/576 (* (pow a 4) (pow x 8)))
(* (pow x 8) (- (* -1/72 (/ (pow a 3) x)) (* 1/576 (pow a 4))))
(* (pow x 8) (- (* -1/36 (/ (pow a 2) (pow x 2))) (+ (* 1/576 (pow a 4)) (* 1/72 (/ (pow a 3) x)))))
(* (pow x 8) (- (* 1/4 (/ 1 (pow x 4))) (+ (* 1/576 (pow a 4)) (+ (* 1/72 (/ (pow a 3) x)) (* 1/36 (/ (pow a 2) (pow x 2)))))))
(* -1/576 (* (pow a 4) (pow x 8)))
(* (pow x 8) (- (* -1/72 (/ (pow a 3) x)) (* 1/576 (pow a 4))))
(* (pow x 8) (- (* -1 (/ (- (* 1/36 (/ (pow a 2) x)) (* -1/72 (pow a 3))) x)) (* 1/576 (pow a 4))))
(* (pow x 8) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (* 1/36 (pow a 2))) x)) (* -1/72 (pow a 3))) x)) (* 1/576 (pow a 4))))
(* 1/4 (pow x 4))
(+ (* -1/36 (* (pow a 2) (pow x 6))) (* 1/4 (pow x 4)))
(+ (* 1/4 (pow x 4)) (* (pow a 2) (- (* -1/72 (* a (pow x 7))) (* 1/36 (pow x 6)))))
(+ (* 1/4 (pow x 4)) (* (pow a 2) (- (* a (- (* -1/576 (* a (pow x 8))) (* 1/72 (pow x 7)))) (* 1/36 (pow x 6)))))
(* -1/576 (* (pow a 4) (pow x 8)))
(* (pow a 4) (- (* -1/72 (/ (pow x 7) a)) (* 1/576 (pow x 8))))
(* (pow a 4) (- (* -1/36 (/ (pow x 6) (pow a 2))) (+ (* 1/576 (pow x 8)) (* 1/72 (/ (pow x 7) a)))))
(* (pow a 4) (- (* 1/4 (/ (pow x 4) (pow a 4))) (+ (* 1/576 (pow x 8)) (+ (* 1/72 (/ (pow x 7) a)) (* 1/36 (/ (pow x 6) (pow a 2)))))))
(* -1/576 (* (pow a 4) (pow x 8)))
(* (pow a 4) (- (* -1/72 (/ (pow x 7) a)) (* 1/576 (pow x 8))))
(* (pow a 4) (- (* -1 (/ (- (* 1/36 (/ (pow x 6) a)) (* -1/72 (pow x 7))) a)) (* 1/576 (pow x 8))))
(* (pow a 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow x 4) (pow a 2))) (* 1/36 (pow x 6))) a)) (* -1/72 (pow x 7))) a)) (* 1/576 (pow x 8))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/6 (* a x))))
(* (pow x 2) (+ 1/2 (* x (- (* -1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* (pow x 2) (+ 1/2 (* x (- (* -1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* -1/24 (* (pow a 2) (pow x 4)))
(* (pow x 4) (- (* -1/6 (/ a x)) (* 1/24 (pow a 2))))
(* (pow x 4) (- (/ 1/2 (pow x 2)) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x)))))
(* (pow x 4) (- (/ 1/2 (pow x 2)) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x)))))
(* -1/24 (* (pow a 2) (pow x 4)))
(* (pow x 4) (- (* -1/6 (/ a x)) (* 1/24 (pow a 2))))
(* (pow x 4) (- (+ (* -1/6 (/ a x)) (/ 1/2 (pow x 2))) (* 1/24 (pow a 2))))
(* (pow x 4) (- (+ (* -1/6 (/ a x)) (/ 1/2 (pow x 2))) (* 1/24 (pow a 2))))
(* 1/2 (pow x 2))
(+ (* -1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))
(+ (* 1/2 (pow x 2)) (* a (- (* -1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))
(+ (* 1/2 (pow x 2)) (* a (- (* -1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))
(* -1/24 (* (pow a 2) (pow x 4)))
(* (pow a 2) (- (* -1/6 (/ (pow x 3) a)) (* 1/24 (pow x 4))))
(* (pow a 2) (- (* 1/2 (/ (pow x 2) (pow a 2))) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a)))))
(* (pow a 2) (- (* 1/2 (/ (pow x 2) (pow a 2))) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a)))))
(* -1/24 (* (pow a 2) (pow x 4)))
(* (pow a 2) (- (* -1/6 (/ (pow x 3) a)) (* 1/24 (pow x 4))))
(* (pow a 2) (- (* -1 (/ (- (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 2) (- (* -1 (/ (- (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 (* a x))))
(* (pow x 2) (+ 1/2 (* x (- (* 1/24 (* (pow a 2) x)) (* -1/6 a)))))
(* (pow x 2) (+ 1/2 (* x (- (* 1/24 (* (pow a 2) x)) (* -1/6 a)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow x 4) (- (+ (* 1/24 (pow a 2)) (* 1/3 (/ a x))) (* 1/6 (/ a x))))
(* (pow x 4) (- (+ (* 1/24 (pow a 2)) (+ (* 1/3 (/ a x)) (/ 7/6 (pow x 2)))) (+ (* 1/6 (/ a x)) (* 4 (/ (- (* 1/3 a) (* 1/6 a)) (* a (pow x 2)))))))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -12 (/ (- (* 1/3 a) (* 1/6 a)) (pow a 2))) (* 4 (/ (- 7/6 (* 4 (/ (- (* 1/3 a) (* 1/6 a)) a))) a))) (pow x 3))) (+ (* 1/24 (pow a 2)) (+ (* 1/3 (/ a x)) (/ 7/6 (pow x 2))))) (+ (* 1/6 (/ a x)) (* 4 (/ (- (* 1/3 a) (* 1/6 a)) (* a (pow x 2)))))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow x 4) (+ (* -1 (/ (- (* -1/3 a) (* -1/6 a)) x)) (* 1/24 (pow a 2))))
(* (pow x 4) (+ (* -1 (/ (- (+ (* -1 (/ (- 7/6 (* -4 (/ (- (* -1/3 a) (* -1/6 a)) a))) x)) (* -1/3 a)) (* -1/6 a)) x)) (* 1/24 (pow a 2))))
(* (pow x 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ 7/6 (+ (* -12 (/ (- (* -1/3 a) (* -1/6 a)) (* (pow a 2) x))) (* -4 (/ (- 7/6 (* -4 (/ (- (* -1/3 a) (* -1/6 a)) a))) (* a x))))) (* -4 (/ (- (* -1/3 a) (* -1/6 a)) a))) x)) (* -1/3 a)) (* -1/6 a)) x)) (* 1/24 (pow a 2))))
(* 1/2 (pow x 2))
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))
(+ (* 1/2 (pow x 2)) (* a (- (* 1/24 (* a (pow x 4))) (* -1/6 (pow x 3)))))
(+ (* 1/2 (pow x 2)) (* a (- (* 1/24 (* a (pow x 4))) (* -1/6 (pow x 3)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow a 2) (- (+ (* 1/24 (pow x 4)) (* 1/3 (/ (pow x 3) a))) (* 1/6 (/ (pow x 3) a))))
(* (pow a 2) (- (+ (* 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 2) (- (+ (* -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 2) (pow x 4)))
(* (pow a 2) (+ (* -1 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 2) (+ (* -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 2) (+ (* -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)))) (+ (* -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)
(* 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) (- (+ (* -1/6 (/ (pow x 3) a)) (* 1/24 (pow x 4))) (* -1/3 (/ (pow x 3) a))))
(* (pow a 4) (- (+ (* -1/6 (/ (pow x 3) a)) (+ (* 1/24 (pow x 4)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (* 4 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) (* (pow a 2) x)))))) (+ (* -2/3 (/ (pow x 2) (pow a 2))) (* -1/3 (/ (pow x 3) a)))))
(* (pow a 4) (- (+ (* -12 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) (* (pow a 3) (pow x 2)))) (+ (* -1/6 (/ (pow x 3) a)) (+ (* 1/24 (pow x 4)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (+ (* 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))) (+ (* 4 (/ (- (* -1/3 (pow x 3)) (* -1/6 (pow x 3))) (* (pow a 2) x))) (/ x (pow a 3)))))))) (+ (* -2/3 (/ (pow x 2) (pow a 2))) (* -1/3 (/ (pow x 3) a)))))
(* 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))))
(* 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))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* (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))
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 1/24 (* (pow a 2) x))
(* 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))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 (* a x))))
(* (pow x 2) (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* (pow x 2) (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 4) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(* (pow x 4) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(* 1/2 (pow x 2))
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))
(+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))
(+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* 1/6 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(* (pow x 2) (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(* (pow x 2) (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* 1/6 (* a (pow x 2)))
(* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))
(* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))
(* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) (.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64))))))
(* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 x) (* -1 x)))))))) (* 1/3 (* x (- (* 2 x) (* -1 x))))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) (+.f64 (.f64 a (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -1/3 binary64) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))) (.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))
(* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (+ (* 3/2 (pow x 3)) (* a (- (* 9/8 (pow x 4)) (+ (* 1/3 (* x (- (* 4/3 (pow x 3)) (* -1/6 (pow x 3))))) (+ (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 x) (* -1 x)))))) (- (* 2 x) (* -1 x))))))))) (+ (* 1/3 (* x (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 x) (* -1 x)))))))) (* 1/3 (* x (- (* 2 x) (* -1 x))))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 a (+.f64 (.f64 a (-.f64 (.f64 #s(literal 9/8 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x (.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64))) (.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -1/3 binary64) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))))))) (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -1/3 binary64) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))) (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) (.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x)))))
(* a x)
(*.f64 a x)
(* x (+ a (* x (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (.f64 (.f64 a (*.f64 a #s(literal 3 binary64))) #s(literal -1/3 binary64))))))
(* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 a) (* -1 a)))))))) (* 1/3 (* a (- (* 2 a) (* -1 a))))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 a (.f64 a a))) (.f64 #s(literal -1/3 binary64) (+.f64 (.f64 a (.f64 (.f64 a a) #s(literal 5/2 binary64))) (.f64 (.f64 a #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (.f64 (.f64 a (.f64 a #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))) (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (.f64 (.f64 a (.f64 a #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))
(* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (+ (* 3/2 (pow a 3)) (* x (- (* 9/8 (pow a 4)) (+ (* 1/3 (* a (- (* 4/3 (pow a 3)) (* -1/6 (pow a 3))))) (+ (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 a) (* -1 a)))))) (- (* 2 a) (* -1 a))))))))) (+ (* 1/3 (* a (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 a) (* -1 a)))))))) (* 1/3 (* a (- (* 2 a) (* -1 a))))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (+.f64 (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal 9/8 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 a (.f64 #s(literal 3/2 binary64) (.f64 a (.f64 a a)))) (+.f64 (.f64 (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (.f64 (.f64 a (.f64 a #s(literal 3 binary64))) #s(literal -1/3 binary64))) (.f64 (.f64 a a) #s(literal 5/2 binary64))) (.f64 (.f64 a #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 a (.f64 a a))) (.f64 #s(literal -1/3 binary64) (+.f64 (.f64 a (.f64 (.f64 a a) #s(literal 5/2 binary64))) (.f64 (.f64 a #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (.f64 (.f64 a (.f64 a #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))))))) (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 a (.f64 a a))) (.f64 #s(literal -1/3 binary64) (+.f64 (.f64 a (.f64 (.f64 a a) #s(literal 5/2 binary64))) (.f64 (.f64 a #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (.f64 (.f64 a (.f64 a #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))) (.f64 (.f64 a (*.f64 a #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x)))))
3
#s(literal 3 binary64)
(+ 3 (* a (- (* 2 x) (* -1 x))))
(+.f64 #s(literal 3 binary64) (.f64 a (.f64 x #s(literal 3 binary64))))
(+ 3 (* a (- (+ (* 2 x) (* a (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* -1 x))))
(+.f64 #s(literal 3 binary64) (.f64 a (+.f64 (.f64 a (.f64 (.f64 x x) #s(literal 5/2 binary64))) (*.f64 x #s(literal 3 binary64)))))
(+ 3 (* a (- (+ (* 2 x) (* a (- (+ (* 2 (pow x 2)) (* a (- (* 4/3 (pow x 3)) (* -1/6 (pow x 3))))) (* -1/2 (pow x 2))))) (* -1 x))))
(+.f64 #s(literal 3 binary64) (.f64 a (+.f64 (.f64 a (+.f64 (.f64 a (.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 5/2 binary64)))) (*.f64 x #s(literal 3 binary64)))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x))))
3
#s(literal 3 binary64)
(+ 3 (* x (- (* 2 a) (* -1 a))))
(+.f64 #s(literal 3 binary64) (.f64 x (.f64 a #s(literal 3 binary64))))
(+ 3 (* x (- (+ (* 2 a) (* x (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* -1 a))))
(+.f64 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 x (.f64 (.f64 a a) #s(literal 5/2 binary64))) (*.f64 a #s(literal 3 binary64)))))
(+ 3 (* x (- (+ (* 2 a) (* x (- (+ (* 2 (pow a 2)) (* x (- (* 4/3 (pow a 3)) (* -1/6 (pow a 3))))) (* -1/2 (pow a 2))))) (* -1 a))))
(+.f64 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (.f64 #s(literal 3/2 binary64) (.f64 a (.f64 a a)))) (.f64 (.f64 a a) #s(literal 5/2 binary64)))) (*.f64 a #s(literal 3 binary64)))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x))))
(- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (*.f64 a x))))
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(* 1/24 (* (pow a 4) (pow x 4)))
(.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #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 x (+.f64 a (.f64 (.f64 x (.f64 a a)) #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 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (/ (* a (- (* 1/3 (pow a 2)) (* 1/6 (pow a 2)))) x)))
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(* 1/24 (* (pow a 4) (pow x 4)))
(.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #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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(* 3 (* a x))
(.f64 (.f64 a x) #s(literal 3 binary64))
(* 3 (* a x))
(.f64 (.f64 a x) #s(literal 3 binary64))
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(.f64 (.f64 a x) #s(literal 3 binary64))
(* 3 (* a x))
(.f64 (.f64 a x) #s(literal 3 binary64))
(* 3 (* a x))
(.f64 (.f64 a x) #s(literal 3 binary64))
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(.f64 (.f64 a x) #s(literal 3 binary64))
(* 3 (* a x))
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(* 3 (* a x))
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(* 3 (* a x))
(.f64 (.f64 a x) #s(literal 3 binary64))
(* 3 (* a x))
(.f64 (.f64 a x) #s(literal 3 binary64))
(* 3 (* a x))
(.f64 (.f64 a x) #s(literal 3 binary64))
(* 3 (* a x))
(.f64 (.f64 a x) #s(literal 3 binary64))
(* 3 (* a x))
(.f64 (.f64 a x) #s(literal 3 binary64))
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(.f64 (.f64 a x) #s(literal 3 binary64))
(* 3 (* a x))
(.f64 (.f64 a x) #s(literal 3 binary64))
(* 3 (* a x))
(.f64 (.f64 a x) #s(literal 3 binary64))
(* 3 (* a x))
(.f64 (.f64 a x) #s(literal 3 binary64))
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(.f64 (.f64 a x) #s(literal 3 binary64))
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(.f64 (.f64 a x) #s(literal 3 binary64))
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(* 3 (* a x))
(.f64 (.f64 a x) #s(literal 3 binary64))
(* 3 (* a x))
(.f64 (.f64 a x) #s(literal 3 binary64))
(* 3 (* a x))
(.f64 (.f64 a x) #s(literal 3 binary64))
1
#s(literal 1 binary64)
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(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
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(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
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(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
1
#s(literal 1 binary64)
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(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
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(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
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(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a x) (*.f64 a x))
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(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) (pow x 2))
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(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a x) (*.f64 a x))
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(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) (pow x 2))
(.f64 (.f64 a x) (*.f64 a x))
(* (pow a 2) x)
(.f64 x (.f64 a a))
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(.f64 x (.f64 a a))
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(.f64 (.f64 x (*.f64 a a)) #s(literal 1/24 binary64))
(* 1/6 (* a x))
(.f64 (.f64 a x) #s(literal 1/6 binary64))
(* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(.f64 x (+.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 (.f64 x (*.f64 a a)) #s(literal 1/24 binary64))))
(* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
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(* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(.f64 x (+.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 (.f64 x (*.f64 a a)) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (.f64 x x))
(* (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 #s(literal 1/6 binary64) (/.f64 a x))))
(* (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 #s(literal 1/6 binary64) (/.f64 a x))))
(* (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 #s(literal 1/6 binary64) (/.f64 a x))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (.f64 x x))
(* (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 #s(literal 1/6 binary64) (/.f64 a x))))
(* (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 #s(literal 1/6 binary64) (/.f64 a x))))
(* (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 #s(literal 1/6 binary64) (/.f64 a x))))
(* 1/6 (* a x))
(.f64 (.f64 a x) #s(literal 1/6 binary64))
(* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))
(.f64 a (+.f64 (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64))))
(* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))
(.f64 a (+.f64 (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64))))
(* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))
(.f64 a (+.f64 (.f64 (.f64 a (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (.f64 x x))
(* (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 #s(literal 1/6 binary64) (/.f64 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 #s(literal 1/6 binary64) (/.f64 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 #s(literal 1/6 binary64) (/.f64 x a))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (.f64 x x))
(* (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 #s(literal 1/6 binary64) (/.f64 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 #s(literal 1/6 binary64) (/.f64 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 #s(literal 1/6 binary64) (/.f64 x a))))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* 1/6 (* a x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 (.f64 x (*.f64 a a)) #s(literal 1/24 binary64))))))
(* (pow x 2) (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 (.f64 x (*.f64 a a)) #s(literal 1/24 binary64))))))
(* 1/24 (* (pow a 2) (pow x 4)))
(.f64 (.f64 (*.f64 a a) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 a x))))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 a x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 a x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(.f64 (.f64 (*.f64 a a) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 a x))))
(* (pow x 4) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.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 4) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.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)))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))
(+.f64 (.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 a (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64)))))))
(+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 a (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64)))))))
(* 1/24 (* (pow a 2) (pow x 4)))
(.f64 (.f64 (*.f64 a a) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(.f64 (.f64 a a) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) a)))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(.f64 (.f64 a a) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) a) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 a a)))))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(.f64 (.f64 a a) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) a) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 a a)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(.f64 (.f64 (*.f64 a a) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(.f64 (.f64 a a) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) a)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(.f64 (.f64 a a) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) a)) a)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(.f64 (.f64 a a) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) a)) a)))
(* 1/6 (* a (pow x 2)))
(.f64 (.f64 a (*.f64 x x)) #s(literal 1/6 binary64))
(* (pow x 2) (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(.f64 (.f64 x x) (+.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 a a)) #s(literal 1/24 binary64))))
(* (pow x 2) (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(.f64 (.f64 x x) (+.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 a a)) #s(literal 1/24 binary64))))
(* (pow x 2) (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(.f64 (.f64 x x) (+.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 a a)) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 3)))
(.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 a x))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 a x))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 a x))))
(* 1/24 (* (pow a 2) (pow x 3)))
(.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(.f64 (+.f64 (/.f64 (.f64 a #s(literal -1/6 binary64)) x) (.f64 (.f64 a a) #s(literal -1/24 binary64))) (neg.f64 (.f64 x (.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(.f64 (+.f64 (/.f64 (.f64 a #s(literal -1/6 binary64)) x) (.f64 (.f64 a a) #s(literal -1/24 binary64))) (neg.f64 (.f64 x (.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(.f64 (+.f64 (/.f64 (.f64 a #s(literal -1/6 binary64)) x) (.f64 (.f64 a a) #s(literal -1/24 binary64))) (neg.f64 (.f64 x (.f64 x x))))
(* 1/6 (* a (pow x 2)))
(.f64 (.f64 a (*.f64 x x)) #s(literal 1/6 binary64))
(* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))
(.f64 a (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal 1/24 binary64) a) (.f64 x (*.f64 x x)))))
(* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))
(.f64 a (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal 1/24 binary64) a) (.f64 x (*.f64 x x)))))
(* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))
(.f64 a (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal 1/24 binary64) a) (.f64 x (*.f64 x x)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (.f64 x (*.f64 x x)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) a))))
(* 1/24 (* (pow a 2) (pow x 3)))
(.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (.f64 x (*.f64 x x)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) a))))

eval185.0ms (1.9%)

Compiler: Compiled 56098 to 3874 computations (93.1% saved)

prune140.0ms (1.4%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	1295	11	1306
Fresh	0	3	3
Picked	4	1	5
Done	0	4	4
Total	1299	19	1318

Accuracy

100.0%

Counts

1318 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
	63.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 a (+.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 3 binary64))) x) (+.f64 (.f64 a (+.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 5/2 binary64))) x) (.f64 #s(literal -3/2 binary64) (.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))) x) #s(literal -3/2 binary64)) #s(literal 1 binary64)) x)))) #s(literal -3/2 binary64))))) a))
▶	71.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) a)) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
	71.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (+.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))) x) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) x)) a))
▶	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (.f64 a x)))) (expm1.f64 (.f64 (*.f64 a x) #s(literal 3 binary64)))))
▶	66.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
▶	66.8%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a x))
	66.0%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)
	17.1%	(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 (.f64 (.f64 (.f64 a (.f64 a a)) a) #s(literal 1/24 binary64)) (/.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (+.f64 (.f64 a (*.f64 a #s(literal 1/2 binary64))) (/.f64 a x)) x)) x)))
	67.1%	(.f64 (.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)
✓	19.6%	(.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/2 binary64))))
✓	67.1%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))))
	63.5%	(.f64 x (+.f64 a (.f64 (.f64 x (.f64 a a)) #s(literal 1/2 binary64))))
▶	62.5%	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/24 binary64)))) (*.f64 a #s(literal 1/6 binary64)))))) x))))
	59.7%	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 (.f64 (.f64 a a) (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64))) (.f64 (.f64 a a) #s(literal 1/36 binary64))) x) (+.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/6 binary64) a))))))))
	59.8%	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (.f64 x x)))))))
	62.6%	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))))))))
✓	67.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 761 to 469 computations (38.4% saved)

simplify193.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

3686×	`-lowering-.f32`
3686×	`-lowering-.f64`
2294×	`+-lowering-+.f64`
2294×	`+-lowering-+.f32`
1628×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	388
1	152	362
2	474	311
3	1360	310
4	4868	310
5	7461	310
0	8205	310

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize573.0ms (5.8%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/24 binary64)))) (.f64 a #s(literal 1/6 binary64))))))
✓	accuracy	99.2%	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/24 binary64)))) (*.f64 a #s(literal 1/6 binary64)))))) x))))
✓	accuracy	97.5%	(.f64 x (+.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/24 binary64)))) (*.f64 a #s(literal 1/6 binary64))))
✓	accuracy	89.4%	(.f64 a (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/24 binary64)))) (.f64 a #s(literal 1/6 binary64)))))) x))
✓	accuracy	100.0%	(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 a #s(literal 3 binary64)) a))
✓	accuracy	99.8%	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) a)) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x)
✓	accuracy	99.7%	(/.f64 (*.f64 a #s(literal 3 binary64)) a)
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) a)) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a x))
✓	accuracy	99.8%	(.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/6 binary64))))
✓	accuracy	99.7%	(.f64 a (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 a x))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
✓	accuracy	99.9%	(exp.f64 (*.f64 a x))
✓	accuracy	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (.f64 a x)))) (expm1.f64 (.f64 (*.f64 a x) #s(literal 3 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 a x) #s(literal 3 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (.f64 a x)))) (expm1.f64 (.f64 (*.f64 a x) #s(literal 3 binary64)))))

Results

231.0ms	130×	1	valid
134.0ms	37×	5	exit
63.0ms	89×	0	valid

Compiler

Compiled 436 to 50 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 224.0ms

ival-mult: 76.0ms (33.9% of total)

backward-pass: 37.0ms (16.5% of total)

ival-div: 24.0ms (10.7% of total)

compiled-spec: 22.0ms (9.8% of total)

ival-exp: 21.0ms (9.4% of total)

ival-add: 21.0ms (9.4% of total)

...c/correct-round.rkt:119:19: 19.0ms (8.5% of total)

const: 2.0ms (0.9% of total)

ival-sub: 2.0ms (0.9% of total)

series36.0ms (0.4%)

Counts

25 → 552

Calls

Call 1

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

Outputs
#<alt (* a x)>
#<alt (* a (+ x (* a (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))>
#<alt (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))>
#<alt (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (+ (* 3/2 (pow x 3)) (* a (- (* 9/8 (pow x 4)) (+ (* 1/3 (* x (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3))))) (+ (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x)))))))))))) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (* a x)>
#<alt (* x (+ a (* x (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))>
#<alt (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))>
#<alt (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (+ (* 3/2 (pow a 3)) (* x (- (* 9/8 (pow a 4)) (+ (* 1/3 (* a (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))))) (+ (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a)))))))))))) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ 1 (* a x))>
#<alt (/ (+ (* a (- (* 1/3 (/ (+ x (* 2 x)) x)) 3/2)) (/ 1 x)) a)>
#<alt (/ (+ (* a (- (+ (* 1/3 (/ (+ x (* 2 x)) x)) (* a (- (* 1/3 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (+ (* 3/2 x) (* 3/2 (* x (- (* 1/3 (/ (+ x (* 2 x)) x)) 3/2))))))) 3/2)) (/ 1 x)) a)>
#<alt (/ (+ (* a (- (+ (* 1/3 (/ (+ x (* 2 x)) x)) (* a (- (+ (* 1/3 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* a (- (* 1/3 (/ (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3))) x)) (+ (* 9/8 (pow x 2)) (+ (* 3/2 (* x (- (* 1/3 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (+ (* 3/2 x) (* 3/2 (* x (- (* 1/3 (/ (+ x (* 2 x)) x)) 3/2))))))) (* 3/2 (* (pow x 2) (- (* 1/3 (/ (+ x (* 2 x)) x)) 3/2)))))))) (+ (* 3/2 x) (* 3/2 (* x (- (* 1/3 (/ (+ x (* 2 x)) x)) 3/2))))))) 3/2)) (/ 1 x)) a)>
#<alt (/ (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ 1 (* a x))>
#<alt (/ (+ (* x (- (* 1/3 (/ (+ a (* 2 a)) a)) 3/2)) (/ 1 a)) x)>
#<alt (/ (+ (* x (- (+ (* 1/3 (/ (+ a (* 2 a)) a)) (* x (- (* 1/3 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (+ (* 3/2 a) (* 3/2 (* a (- (* 1/3 (/ (+ a (* 2 a)) a)) 3/2))))))) 3/2)) (/ 1 a)) x)>
#<alt (/ (+ (* x (- (+ (* 1/3 (/ (+ a (* 2 a)) a)) (* x (- (+ (* 1/3 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* x (- (* 1/3 (/ (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))) a)) (+ (* 9/8 (pow a 2)) (+ (* 3/2 (* a (- (* 1/3 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (+ (* 3/2 a) (* 3/2 (* a (- (* 1/3 (/ (+ a (* 2 a)) a)) 3/2))))))) (* 3/2 (* (pow a 2) (- (* 1/3 (/ (+ a (* 2 a)) a)) 3/2)))))))) (+ (* 3/2 a) (* 3/2 (* a (- (* 1/3 (/ (+ a (* 2 a)) a)) 3/2))))))) 3/2)) (/ 1 a)) x)>
#<alt (/ (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
#<alt (/ (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (- (exp (* 3 (* a x))) 1))>
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#<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 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* 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 (/ 1 (* a x))>
#<alt (/ (+ (* -1/2 x) (/ 1 a)) x)>
#<alt (/ (+ (* -1/2 x) (/ 1 a)) x)>
#<alt (/ (+ (* -1/2 x) (/ 1 a)) x)>
#<alt -1/2>
#<alt (- (/ 1 (* a x)) 1/2)>
#<alt (- (/ 1 (* a x)) 1/2)>
#<alt (- (/ 1 (* a x)) 1/2)>
#<alt -1/2>
#<alt (- (/ 1 (* a x)) 1/2)>
#<alt (- (/ 1 (* a x)) 1/2)>
#<alt (- (/ 1 (* a x)) 1/2)>
#<alt (/ 1 (* a x))>
#<alt (/ (+ (* -1/2 a) (/ 1 x)) a)>
#<alt (/ (+ (* -1/2 a) (/ 1 x)) a)>
#<alt (/ (+ (* -1/2 a) (/ 1 x)) a)>
#<alt -1/2>
#<alt (- (/ 1 (* a x)) 1/2)>
#<alt (- (/ 1 (* a x)) 1/2)>
#<alt (- (/ 1 (* a x)) 1/2)>
#<alt -1/2>
#<alt (- (/ 1 (* a x)) 1/2)>
#<alt (- (/ 1 (* a x)) 1/2)>
#<alt (- (/ 1 (* a x)) 1/2)>
#<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 (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 (* a x))))>
#<alt (* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))>
#<alt (* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))>
#<alt (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))>
#<alt (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))>

Calls

138 calls:

Time	Variable		Point	Expression
14.0ms	a	@	-inf	(/ (+ (* x (+ (* 1/3 (/ (* a 3) a)) -3/2)) (/ 1 a)) x)
1.0ms	x	@	0	(/ (+ 1 (+ (exp (* (* a 2) x)) (exp (* a x)))) (- (exp (* (* a x) 3)) 1))
1.0ms	a	@	0	(/ (+ 1 (+ (exp (* (* a 2) x)) (exp (* a x)))) (- (exp (* (* a x) 3)) 1))
1.0ms	a	@	inf	(/ (+ 1 (+ (exp (* (* a 2) x)) (exp (* a x)))) (- (exp (* (* a x) 3)) 1))
1.0ms	x	@	-inf	(/ (+ 1 (+ (exp (* (* a 2) x)) (exp (* a x)))) (- (exp (* (* a x) 3)) 1))

rewrite370.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3920×	`-lowering-.f32`
3920×	`-lowering-.f64`
1974×	`/-lowering-/.f32`
1974×	`/-lowering-/.f64`
1936×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	274
1	308	243
2	2720	234
0	8375	234

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 645

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x)))))) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x)))))) #s(literal -1 binary64)))
(+.f64 (.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 #s(literal 2 binary64) x))))))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x)))))))
(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 #s(literal 2 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 #s(literal 2 binary64) x))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x)))))) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 #s(literal 2 binary64) x)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 3 binary64))))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 #s(literal 2 binary64) x))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 9 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) (+.f64 (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 6 binary64))) #s(literal 1 binary64)) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 6 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x)))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a (*.f64 x #s(literal 3 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 9 binary64))) #s(literal -1 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) (+.f64 (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 6 binary64))) #s(literal 1 binary64)) (exp.f64 (.f64 a (*.f64 x #s(literal 3 binary64)))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 6 binary64))) #s(literal -1 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 x #s(literal 3 binary64)))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x)))))) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 9 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 6 binary64))) #s(literal 1 binary64)) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x)))))) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 6 binary64))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x)))))) (.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) (/.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))))) (.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) #s(literal -1 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 #s(literal 2 binary64) x))))))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 #s(literal 2 binary64) x)))))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 3 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (/.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 3 binary64)))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 3 binary64))))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x)))))))
(.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x)))))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))))))
(.f64 (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x)))))) #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 #s(literal 2 binary64) x)))))) (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))))
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(/.f64 (.f64 (+.f64 (.f64 (.f64 x (+.f64 (/.f64 (.f64 #s(literal 1 binary64) a) a) #s(literal -3/2 binary64))) (.f64 (.f64 x (+.f64 (/.f64 (.f64 #s(literal 1 binary64) a) a) #s(literal -3/2 binary64))) (.f64 x (+.f64 (/.f64 (.f64 #s(literal 1 binary64) a) a) #s(literal -3/2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 (.f64 x (+.f64 (/.f64 (.f64 #s(literal 1 binary64) a) a) #s(literal -3/2 binary64))) (.f64 x (+.f64 (/.f64 (.f64 #s(literal 1 binary64) a) a) #s(literal -3/2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 x (+.f64 (/.f64 (.f64 #s(literal 1 binary64) a) a) #s(literal -3/2 binary64)))) a)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (+.f64 (/.f64 (.f64 #s(literal 1 binary64) a) a) #s(literal -3/2 binary64))) (.f64 x (+.f64 (/.f64 (.f64 #s(literal 1 binary64) a) a) #s(literal -3/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) (/.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 x (+.f64 (/.f64 (.f64 #s(literal 1 binary64) a) a) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)))
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(pow.f64 (/.f64 x (+.f64 (.f64 x (+.f64 (/.f64 (.f64 #s(literal 1 binary64) a) a) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))
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(+.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/24 binary64))))
(+.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 a (.f64 x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/24 binary64))))
(fma.f64 a (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 (*.f64 a x) #s(literal 1/24 binary64))))
(fma.f64 a (.f64 (.f64 (.f64 a x) #s(literal 1/24 binary64)) x) (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 a (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 a #s(literal 1/6 binary64)) (.f64 (.f64 a x) (.f64 (*.f64 a x) #s(literal 1/24 binary64))))
(fma.f64 (.f64 a x) #s(literal 1/6 binary64) (.f64 (.f64 a x) (.f64 (*.f64 a x) #s(literal 1/24 binary64))))
(fma.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/24 binary64)) (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 a x) (.f64 (.f64 a x) (.f64 (*.f64 a x) #s(literal 1/24 binary64))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) a (.f64 (.f64 a x) (.f64 (*.f64 a x) #s(literal 1/24 binary64))))
(fma.f64 (.f64 (.f64 a x) #s(literal 1/24 binary64)) (.f64 a x) (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 a (.f64 (.f64 a x) #s(literal 1/24 binary64))) x (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 a #s(literal 1/6 binary64)) x (.f64 (.f64 a x) (.f64 (*.f64 a x) #s(literal 1/24 binary64))))
(fma.f64 (.f64 x (.f64 a x)) (.f64 a #s(literal 1/24 binary64)) (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (.f64 (.f64 a x) #s(literal 1/24 binary64))) a (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) #s(literal 1/13824 binary64)))) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a a))))) (+.f64 (.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 (.f64 a x) (.f64 (.f64 a 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 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 a (.f64 x #s(literal 1/6 binary64)))))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) #s(literal 1/13824 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 1/216 binary64)))) (+.f64 (.f64 (.f64 (.f64 a (.f64 a x)) (.f64 a (.f64 a x))) #s(literal 1/576 binary64)) (.f64 (.f64 a #s(literal 1/6 binary64)) (-.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 a (.f64 (*.f64 a x) #s(literal 1/24 binary64)))))))
(/.f64 (.f64 x (.f64 (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 a (-.f64 (.f64 (.f64 a x) #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))) (.f64 a (-.f64 (.f64 (*.f64 a x) #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) #s(literal 1/13824 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 1/216 binary64))) x) (+.f64 (.f64 (.f64 (.f64 a (.f64 a x)) (.f64 a (.f64 a x))) #s(literal 1/576 binary64)) (.f64 (.f64 a #s(literal 1/6 binary64)) (-.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 a (.f64 (*.f64 a x) #s(literal 1/24 binary64)))))))
(/.f64 (.f64 (.f64 (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 a (-.f64 (.f64 (.f64 a x) #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) x) (.f64 a (-.f64 (.f64 (*.f64 a x) #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))
(.f64 a (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) x))
(.f64 x (.f64 a (+.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 (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) x)
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 x x)))
(+.f64 (.f64 (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 x x)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (*.f64 x x)))
(fma.f64 x (.f64 a (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) x)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 x x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (*.f64 x x)))
(fma.f64 (.f64 a (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) x)) x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) x)) (.f64 x (.f64 (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 a (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) x))))))) (+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 x x)) (.f64 (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 x x))) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (*.f64 x x))))))
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(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 a (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) x)))))) (-.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) x))))
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(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))) (.f64 a (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) x))))) x) (-.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a x) #s(literal 1/24 binary64))) x))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a x) #s(literal 1/24 binary64))) x))) x)

simplify318.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

5444×	`-lowering-.f32`
5444×	`-lowering-.f64`
3168×	`+-lowering-+.f64`
3168×	`+-lowering-+.f32`
1806×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	618	5942
1	2181	5319
2	7736	5197
0	8284	5197

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* a (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))
(* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))
(* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (+ (* 3/2 (pow x 3)) (* a (- (* 9/8 (pow x 4)) (+ (* 1/3 (* x (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3))))) (+ (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x)))))))))))) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(* a x)
(* x (+ a (* x (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))
(* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))
(* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (+ (* 3/2 (pow a 3)) (* x (- (* 9/8 (pow a 4)) (+ (* 1/3 (* a (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))))) (+ (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a)))))))))))) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))
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(/ 1 (* a x))
(/ (+ (* a (- (* 1/3 (/ (+ x (* 2 x)) x)) 3/2)) (/ 1 x)) a)
(/ (+ (* a (- (+ (* 1/3 (/ (+ x (* 2 x)) x)) (* a (- (* 1/3 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (+ (* 3/2 x) (* 3/2 (* x (- (* 1/3 (/ (+ x (* 2 x)) x)) 3/2))))))) 3/2)) (/ 1 x)) a)
(/ (+ (* a (- (+ (* 1/3 (/ (+ x (* 2 x)) x)) (* a (- (+ (* 1/3 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* a (- (* 1/3 (/ (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3))) x)) (+ (* 9/8 (pow x 2)) (+ (* 3/2 (* x (- (* 1/3 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (+ (* 3/2 x) (* 3/2 (* x (- (* 1/3 (/ (+ x (* 2 x)) x)) 3/2))))))) (* 3/2 (* (pow x 2) (- (* 1/3 (/ (+ x (* 2 x)) x)) 3/2)))))))) (+ (* 3/2 x) (* 3/2 (* x (- (* 1/3 (/ (+ x (* 2 x)) x)) 3/2))))))) 3/2)) (/ 1 x)) a)
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(/ (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
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(/ (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
3
(+ 3 (* a (+ x (* 2 x))))
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(+ 3 (* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (+ (* 2 (pow x 2)) (* a (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))))))))))
(+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))
(+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))
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(+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))
(+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))
3
(+ 3 (* x (+ a (* 2 a))))
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(+ 3 (* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (+ (* 2 (pow a 2)) (* x (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))))))))))
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(+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))
(+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))
(+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))
(+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))
(+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))
(+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))
(+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))
2
(+ 2 (* a (+ x (* 2 x))))
(+ 2 (* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))))))
(+ 2 (* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (+ (* 2 (pow x 2)) (* a (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))))))))))
(+ (exp (* 2 (* a x))) (exp (* a x)))
(+ (exp (* 2 (* a x))) (exp (* a x)))
(+ (exp (* 2 (* a x))) (exp (* a x)))
(+ (exp (* 2 (* a x))) (exp (* a x)))
(+ (exp (* 2 (* a x))) (exp (* a x)))
(+ (exp (* 2 (* a x))) (exp (* a x)))
(+ (exp (* 2 (* a x))) (exp (* a x)))
(+ (exp (* 2 (* a x))) (exp (* a x)))
2
(+ 2 (* x (+ a (* 2 a))))
(+ 2 (* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))))))
(+ 2 (* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (+ (* 2 (pow a 2)) (* x (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))))))))))
(+ (exp (* 2 (* a x))) (exp (* a x)))
(+ (exp (* 2 (* a x))) (exp (* a x)))
(+ (exp (* 2 (* a x))) (exp (* a x)))
(+ (exp (* 2 (* a x))) (exp (* a x)))
(+ (exp (* 2 (* a x))) (exp (* a x)))
(+ (exp (* 2 (* a x))) (exp (* a x)))
(+ (exp (* 2 (* a x))) (exp (* a x)))
(+ (exp (* 2 (* a x))) (exp (* a x)))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
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(* a (+ x (* 1/6 (* (pow a 2) (pow x 3)))))
(* a (+ x (* 1/6 (* (pow a 2) (pow x 3)))))
(* a (+ x (* 1/6 (* (pow a 2) (pow x 3)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
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(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1 (/ x (pow a 2))) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ x (pow a 2))) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ x (pow a 2))) (* -1/6 (pow x 3)))))
(* a x)
(* x (+ a (* 1/6 (* (pow a 3) (pow x 2)))))
(* x (+ a (* 1/6 (* (pow a 3) (pow x 2)))))
(* x (+ a (* 1/6 (* (pow a 3) (pow x 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (/ a (pow x 2))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (/ a (pow x 2))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (/ a (pow x 2))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* -1/6 (pow a 3)))))
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1
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(* 1/6 (* (pow a 2) (pow x 2)))
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(* 1/6 (* (pow a 2) (pow x 2)))
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1
(+ 1 (* 1/6 (* (pow a 2) (pow x 2))))
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(* (pow x 2) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))
(* 1/6 (* (pow a 2) (pow x 2)))
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(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
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(* 1/6 (* (pow a 2) (pow x 2)))
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(* 1/6 (* (pow a 2) (pow x 2)))
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(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
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(* 1/6 (* (pow a 2) (pow x 2)))
3
3
3
3
3
3
3
3
3
3
3
3
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (- (* 1/4 (* (pow a 3) x)) (* -1/2 (pow a 2))))))
(* x (+ a (* x (- (* x (- (* 1/8 (* (pow a 4) x)) (* -1/4 (pow a 3)))) (* -1/2 (pow a 2))))))
-2
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)
(- (* -1 (/ (+ (* 8 (/ 1 (pow a 2))) (* 16 (/ 1 (* (pow a 3) x)))) (pow x 2))) (+ 2 (/ 4 (* a x))))
-2
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)
(- (* -1 (/ (+ (* 4 (/ 1 a)) (+ (/ 8 (* (pow a 2) x)) (/ 16 (* (pow a 3) (pow x 2))))) x)) 2)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (- (* 1/4 (* a (pow x 3))) (* -1/2 (pow x 2))))))
(* a (+ x (* a (- (* a (- (* 1/8 (* a (pow x 4))) (* -1/4 (pow x 3)))) (* -1/2 (pow x 2))))))
-2
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)
(- (* -1 (/ (+ (* 8 (/ 1 (pow x 2))) (* 16 (/ 1 (* a (pow x 3))))) (pow a 2))) (+ 2 (/ 4 (* a x))))
-2
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)
(- (* -1 (/ (+ (* 4 (/ 1 x)) (+ (/ 8 (* a (pow x 2))) (/ 16 (* (pow a 2) (pow x 3))))) a)) 2)
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
1
1
1
1
1
1
1
1
1
1
1
1
(* 1/6 a)
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(* 1/24 (* (pow a 2) x))
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(* (pow a 2) (+ (* 1/24 x) (* 1/6 (/ 1 a))))
(* (pow a 2) (+ (* 1/24 x) (* 1/6 (/ 1 a))))
(* 1/6 a)
(+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))
(+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))
(+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))
(* 1/24 (* (pow a 2) x))
(* x (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* x (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* x (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* 1/24 (* (pow a 2) x))
(* -1 (* x (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* -1 (* x (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* -1 (* x (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (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)))
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(* (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))))
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(* 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))))
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(* 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))))
(* 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))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* 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))
(/ 1 (* a x))
(/ (+ (* -1/2 x) (/ 1 a)) x)
(/ (+ (* -1/2 x) (/ 1 a)) x)
(/ (+ (* -1/2 x) (/ 1 a)) x)
-1/2
(- (/ 1 (* a x)) 1/2)
(- (/ 1 (* a x)) 1/2)
(- (/ 1 (* a x)) 1/2)
-1/2
(- (/ 1 (* a x)) 1/2)
(- (/ 1 (* a x)) 1/2)
(- (/ 1 (* a x)) 1/2)
(/ 1 (* a x))
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/ (+ (* -1/2 a) (/ 1 x)) a)
-1/2
(- (/ 1 (* a x)) 1/2)
(- (/ 1 (* a x)) 1/2)
(- (/ 1 (* a x)) 1/2)
-1/2
(- (/ 1 (* a x)) 1/2)
(- (/ 1 (* a x)) 1/2)
(- (/ 1 (* a x)) 1/2)
(* 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))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 (* a x))))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(* 1/2 x)
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))
(.f64 a (+.f64 x (.f64 a (-.f64 (.f64 x (.f64 x #s(literal 3/2 binary64))) (*.f64 x x)))))
(* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 a (-.f64 (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 3/2 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 5/2 binary64))) (.f64 x #s(literal 1/3 binary64)))) (.f64 x (-.f64 (.f64 x (.f64 x #s(literal 3/2 binary64))) (.f64 x x))))) (-.f64 (.f64 x (.f64 x #s(literal 3/2 binary64))) (*.f64 x x))))))
(* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (+ (* 3/2 (pow x 3)) (* a (- (* 9/8 (pow x 4)) (+ (* 1/3 (* x (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3))))) (+ (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x)))))))))))) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 a (+.f64 (.f64 a (-.f64 (-.f64 (.f64 #s(literal 9/8 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))))) (+.f64 (.f64 x (-.f64 (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 3/2 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 5/2 binary64))) (.f64 x #s(literal 1/3 binary64)))) (.f64 x (-.f64 (.f64 x (.f64 x #s(literal 3/2 binary64))) (.f64 x x))))) (.f64 (-.f64 (.f64 x (.f64 x #s(literal 3/2 binary64))) (.f64 x x)) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 5/2 binary64)))))))) (-.f64 (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 3/2 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 5/2 binary64))) (.f64 x #s(literal 1/3 binary64)))) (.f64 x (-.f64 (.f64 x (.f64 x #s(literal 3/2 binary64))) (.f64 x x)))))) (-.f64 (.f64 x (.f64 x #s(literal 3/2 binary64))) (.f64 x x))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))))))
(* a x)
(*.f64 a x)
(* x (+ a (* x (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))
(.f64 x (+.f64 a (.f64 x (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (.f64 a (.f64 #s(literal 1 binary64) a))))))
(* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 x (-.f64 (+.f64 (.f64 a (.f64 #s(literal 3/2 binary64) (.f64 a a))) (.f64 #s(literal -1/3 binary64) (.f64 a (.f64 (.f64 a a) #s(literal 5/2 binary64))))) (.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (.f64 a (.f64 #s(literal 1 binary64) a))) (.f64 #s(literal 1 binary64) a)))) (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (.f64 a (.f64 #s(literal 1 binary64) a)))))))
(* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (+ (* 3/2 (pow a 3)) (* x (- (* 9/8 (pow a 4)) (+ (* 1/3 (* a (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))))) (+ (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a)))))))))))) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (-.f64 (.f64 x (+.f64 (.f64 x (-.f64 (-.f64 (-.f64 (.f64 #s(literal 9/8 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 a (.f64 a (.f64 a (.f64 a #s(literal 1/2 binary64)))))) (.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (.f64 a (.f64 #s(literal 1 binary64) a))) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 a a) #s(literal 5/2 binary64))))) (.f64 (-.f64 (+.f64 (.f64 a (.f64 #s(literal 3/2 binary64) (.f64 a a))) (.f64 #s(literal -1/3 binary64) (.f64 a (.f64 (.f64 a a) #s(literal 5/2 binary64))))) (.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (.f64 a (.f64 #s(literal 1 binary64) a))) (.f64 #s(literal 1 binary64) a))) (.f64 #s(literal 1 binary64) a)))) (-.f64 (+.f64 (.f64 a (.f64 #s(literal 3/2 binary64) (.f64 a a))) (.f64 #s(literal -1/3 binary64) (.f64 a (.f64 (.f64 a a) #s(literal 5/2 binary64))))) (.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 a a)) (.f64 a (.f64 #s(literal 1 binary64) a))) (.f64 #s(literal 1 binary64) a))))) (.f64 a (*.f64 #s(literal 1 binary64) a)))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ (+ (* a (- (* 1/3 (/ (+ x (* 2 x)) x)) 3/2)) (/ 1 x)) a)
(/.f64 (+.f64 (*.f64 a (+.f64 (/.f64 x x) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) x)) a)
(/ (+ (* a (- (+ (* 1/3 (/ (+ x (* 2 x)) x)) (* a (- (* 1/3 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (+ (* 3/2 x) (* 3/2 (* x (- (* 1/3 (/ (+ x (* 2 x)) x)) 3/2))))))) 3/2)) (/ 1 x)) a)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 a (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 5/2 binary64) x))) (.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (+.f64 (/.f64 x x) #s(literal -3/2 binary64)) #s(literal 1 binary64)) x)))) (+.f64 (/.f64 x x) #s(literal -3/2 binary64))))) a)
(/ (+ (* a (- (+ (* 1/3 (/ (+ x (* 2 x)) x)) (* a (- (+ (* 1/3 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* a (- (* 1/3 (/ (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3))) x)) (+ (* 9/8 (pow x 2)) (+ (* 3/2 (* x (- (* 1/3 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (+ (* 3/2 x) (* 3/2 (* x (- (* 1/3 (/ (+ x (* 2 x)) x)) 3/2))))))) (* 3/2 (* (pow x 2) (- (* 1/3 (/ (+ x (* 2 x)) x)) 3/2)))))))) (+ (* 3/2 x) (* 3/2 (* x (- (* 1/3 (/ (+ x (* 2 x)) x)) 3/2))))))) 3/2)) (/ 1 x)) a)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 a (+.f64 (.f64 a (+.f64 (.f64 a (+.f64 (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) x) (.f64 #s(literal -9/8 binary64) (.f64 x x))) (.f64 #s(literal -3/2 binary64) (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 5/2 binary64) x))) (.f64 #s(literal -3/2 binary64) (.f64 (+.f64 (+.f64 (/.f64 x x) #s(literal -3/2 binary64)) #s(literal 1 binary64)) x)))) (.f64 (.f64 x x) (+.f64 (/.f64 x x) #s(literal -3/2 binary64))))))) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 5/2 binary64) x))) (.f64 #s(literal -3/2 binary64) (.f64 (+.f64 (+.f64 (/.f64 x x) #s(literal -3/2 binary64)) #s(literal 1 binary64)) x))))) (+.f64 (/.f64 x x) #s(literal -3/2 binary64))))) a)
(/ (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 3 binary64)))))
(/ (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 3 binary64)))))
(/ (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 3 binary64)))))
(/ (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 3 binary64)))))
(/ (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 3 binary64)))))
(/ (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 3 binary64)))))
(/ (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))) (- (exp (* 3 (* a x))) 1))
(/.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 3 binary64)))))
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#s(literal 3 binary64)
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#s(literal 3 binary64)
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#s(literal 3 binary64)
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#s(literal 3 binary64)
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#s(literal 3 binary64)
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#s(literal 3 binary64)
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#s(literal 3 binary64)
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#s(literal 3 binary64)
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#s(literal 3 binary64)
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#s(literal 3 binary64)
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#s(literal 3 binary64)
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#s(literal 3 binary64)
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#s(literal -2 binary64)
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(* a x)
(*.f64 a x)
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#s(literal -2 binary64)
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#s(literal -1/2 binary64)
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#s(literal -1/2 binary64)
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#s(literal -1/2 binary64)
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#s(literal -1/2 binary64)
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#s(literal -1/2 binary64)
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#s(literal -1/2 binary64)
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#s(literal -1/2 binary64)
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#s(literal -1/2 binary64)
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#s(literal -1/2 binary64)
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#s(literal -1/2 binary64)
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#s(literal -1/2 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(* a x)
(*.f64 a x)
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(*.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)))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ (+ (* -1/2 x) (/ 1 a)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 x #s(literal -1/2 binary64))) x)
(/ (+ (* -1/2 x) (/ 1 a)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 x #s(literal -1/2 binary64))) x)
(/ (+ (* -1/2 x) (/ 1 a)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 x #s(literal -1/2 binary64))) x)
-1/2
#s(literal -1/2 binary64)
(- (/ 1 (* a x)) 1/2)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1/2 binary64))
(- (/ 1 (* a x)) 1/2)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1/2 binary64))
(- (/ 1 (* a x)) 1/2)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (/ 1 (* a x)) 1/2)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1/2 binary64))
(- (/ 1 (* a x)) 1/2)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1/2 binary64))
(- (/ 1 (* a x)) 1/2)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1/2 binary64))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 a #s(literal -1/2 binary64))) a)
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 a #s(literal -1/2 binary64))) a)
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 a #s(literal -1/2 binary64))) a)
-1/2
#s(literal -1/2 binary64)
(- (/ 1 (* a x)) 1/2)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1/2 binary64))
(- (/ 1 (* a x)) 1/2)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1/2 binary64))
(- (/ 1 (* a x)) 1/2)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (/ 1 (* a x)) 1/2)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1/2 binary64))
(- (/ 1 (* a x)) 1/2)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1/2 binary64))
(- (/ 1 (* a x)) 1/2)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1/2 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 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))
(* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))
(* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/24 binary64))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (+.f64 (.f64 a (.f64 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))))
(.f64 (.f64 x x) (+.f64 (.f64 a (.f64 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))))
(.f64 (.f64 x x) (+.f64 (.f64 a (.f64 a #s(literal 1/24 binary64))) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/24 binary64))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (+.f64 (.f64 a (.f64 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))))
(.f64 (.f64 x x) (+.f64 (.f64 a (.f64 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))))
(.f64 (.f64 x x) (+.f64 (.f64 a (.f64 a #s(literal 1/24 binary64))) (/.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 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))
(* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))
(.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))
(* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))
(.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/24 binary64))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 (.f64 a a) (+.f64 (.f64 x (.f64 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 x (.f64 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 x (.f64 x #s(literal 1/24 binary64))) (/.f64 (*.f64 x #s(literal 1/6 binary64)) a)))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/24 binary64))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 (.f64 a a) (+.f64 (.f64 x (.f64 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 x (.f64 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 x (.f64 x #s(literal 1/24 binary64))) (/.f64 (*.f64 x #s(literal 1/6 binary64)) a)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/6 (* a x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64))))))))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64))))))))
(* 1/24 (* (pow a 2) (pow x 3)))
(.f64 (.f64 x x) (.f64 a (.f64 a (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 a (.f64 a #s(literal 1/24 binary64))) (/.f64 (.f64 a #s(literal 1/6 binary64)) x)))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 a (.f64 a #s(literal 1/24 binary64))) (+.f64 (/.f64 (.f64 a #s(literal 1/6 binary64)) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 a (.f64 a #s(literal 1/24 binary64))) (+.f64 (/.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 3)))
(.f64 (.f64 x x) (.f64 a (.f64 a (*.f64 x #s(literal 1/24 binary64)))))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 (/.f64 (.f64 a #s(literal -1/6 binary64)) x) (.f64 (.f64 a a) #s(literal -1/24 binary64)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(.f64 (-.f64 (.f64 (.f64 a a) #s(literal -1/24 binary64)) (/.f64 (+.f64 (.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) (neg.f64 (.f64 x (.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(.f64 (-.f64 (.f64 (.f64 a a) #s(literal -1/24 binary64)) (/.f64 (+.f64 (.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) (neg.f64 (.f64 x (.f64 x x))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64))))))))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64))))))))
(* 1/24 (* (pow a 2) (pow x 3)))
(.f64 (.f64 x x) (.f64 a (.f64 a (*.f64 x #s(literal 1/24 binary64)))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(.f64 (.f64 a a) (+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (/.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) a)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(.f64 (.f64 a a) (+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) a) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 a a))))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(.f64 (.f64 a a) (+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) a) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 a a))))))
(* 1/24 (* (pow a 2) (pow x 3)))
(.f64 (.f64 x x) (.f64 a (.f64 a (*.f64 x #s(literal 1/24 binary64)))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(.f64 (.f64 a a) (+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (/.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) a)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
(.f64 (.f64 a a) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) a) (.f64 x (.f64 x #s(literal -1/6 binary64)))) a)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
(.f64 (.f64 a a) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) a) (.f64 x (.f64 x #s(literal -1/6 binary64)))) a)))

eval467.0ms (4.7%)

Compiler: Compiled 33029 to 3566 computations (89.2% saved)

prune141.0ms (1.4%)

Pruning

27 alts after pruning (19 fresh and 8 done)

	Pruned	Kept	Total
New	1405	16	1421
Fresh	6	3	9
Picked	2	3	5
Done	0	5	5
Total	1413	27	1440

Accuracy

100.0%

Counts

1440 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
	63.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 a (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 5/2 binary64) x))) (.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (+.f64 (/.f64 x x) #s(literal -3/2 binary64)) #s(literal 1 binary64)) x)))) (+.f64 (/.f64 x x) #s(literal -3/2 binary64))))) a))
	71.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 a (.f64 a #s(literal 3 binary64)))) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
	71.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 (.f64 a #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/3 binary64))) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
	71.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 (*.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3 binary64) a)) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
	71.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 a (*.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1/3 binary64))) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
✓	71.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) a)) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
	71.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 a #s(literal 3 binary64))))) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
	71.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 3 binary64) a) a)) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
	71.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (.f64 a (/.f64 #s(literal 1 binary64) a)))) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
	71.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (+.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))) x) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) x)) a))
✓	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (.f64 a x)))) (expm1.f64 (.f64 (*.f64 a x) #s(literal 3 binary64)))))
	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))) (exp.f64 (.f64 a x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))) (exp.f64 (.f64 a x))) (-.f64 (+.f64 (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))) (exp.f64 (*.f64 a x))) #s(literal 1 binary64))))))
	71.3%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1/2 binary64)))
	7.3%	(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
	71.9%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1 binary64) a) a) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a))) x)
✓	66.8%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a x))
	67.1%	(.f64 (.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)
✓	19.6%	(.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/2 binary64))))
✓	67.1%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))))
	63.5%	(.f64 x (+.f64 a (.f64 (.f64 x (.f64 a a)) #s(literal 1/2 binary64))))
	60.8%	(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/4 binary64)))))))
	59.8%	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 a (.f64 a x)) (.f64 a (.f64 a x))) #s(literal 1/576 binary64))) (-.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 a (.f64 (*.f64 a x) #s(literal 1/24 binary64)))))))) x))))
	62.5%	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))) x))))
✓	67.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
	8.7%	#s(literal -2 binary64)

Compiler

Compiled 1475 to 682 computations (53.8% saved)

regimes67.0ms (0.7%)

Counts

42 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)
(*.f64 a x)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1/2 binary64)))
(.f64 x (+.f64 a (.f64 (.f64 x (.f64 a a)) #s(literal 1/2 binary64))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a 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 #s(literal 1/6 binary64) (.f64 x (.f64 a (.f64 a x))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a x))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))))
(.f64 (.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)
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1 binary64) a) a) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (+.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))) x) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) x)) a))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 3 binary64) a) a)) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) a)) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 a (*.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1/3 binary64))) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 (*.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3 binary64) a)) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 a (.f64 a #s(literal 3 binary64)))) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (.f64 x x)))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (.f64 a (/.f64 #s(literal 1 binary64) a)))) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 a #s(literal 3 binary64))))) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 (.f64 a #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/3 binary64))) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))))))))
(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))) x))))
(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) (*.f64 a #s(literal 1/6 binary64)))))))))
(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/24 binary64)))) (*.f64 a #s(literal 1/6 binary64)))))) x))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 a (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64))))))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 (.f64 (.f64 (.f64 a (.f64 a a)) a) #s(literal 1/24 binary64)) (/.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (+.f64 (.f64 a (*.f64 a #s(literal 1/2 binary64))) (/.f64 a x)) x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 a (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 5/2 binary64) x))) (.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (+.f64 (/.f64 x x) #s(literal -3/2 binary64)) #s(literal 1 binary64)) x)))) (+.f64 (/.f64 x x) #s(literal -3/2 binary64))))) a))
(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 (.f64 (.f64 a a) (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64))) (.f64 (.f64 a a) #s(literal 1/36 binary64))) x) (+.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/6 binary64) a))))))))
(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 a (.f64 a x)) (.f64 a (.f64 a x))) #s(literal 1/576 binary64))) (-.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 a (.f64 (*.f64 a x) #s(literal 1/24 binary64)))))))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 a (+.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 3 binary64))) x) (+.f64 (.f64 a (+.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 5/2 binary64))) x) (.f64 #s(literal -3/2 binary64) (.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))) x) #s(literal -3/2 binary64)) #s(literal 1 binary64)) x)))) #s(literal -3/2 binary64))))) a))
(.f64 a (+.f64 x (.f64 a (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (.f64 a (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64)))))) a))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64)))))) a))))))))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a #s(literal 2 binary64)) x)) (exp.f64 (.f64 a x)))) (expm1.f64 (.f64 (*.f64 a x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))) (exp.f64 (.f64 a x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))) (exp.f64 (.f64 a x))) (-.f64 (+.f64 (exp.f64 (.f64 a (.f64 #s(literal 2 binary64) x))) (exp.f64 (*.f64 a x))) #s(literal 1 binary64))))))

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

Calls

5 calls:

12.0ms	x
12.0ms	(*.f64 a x)
11.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
11.0ms	a
9.0ms	(exp.f64 (*.f64 a x))

Results

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

Compiler

Compiled 25 to 17 computations (32% saved)

regimes33.0ms (0.3%)

Counts

36 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)
(*.f64 a x)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1/2 binary64)))
(.f64 x (+.f64 a (.f64 (.f64 x (.f64 a a)) #s(literal 1/2 binary64))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a 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 #s(literal 1/6 binary64) (.f64 x (.f64 a (.f64 a x))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a x))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))))
(.f64 (.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)
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1 binary64) a) a) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (+.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))) x) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) x)) a))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 3 binary64) a) a)) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) a)) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 a (*.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1/3 binary64))) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 (*.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3 binary64) a)) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 a (.f64 a #s(literal 3 binary64)))) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (.f64 x x)))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (.f64 a (/.f64 #s(literal 1 binary64) a)))) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 a #s(literal 3 binary64))))) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 (.f64 a #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/3 binary64))) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) x))
(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))))))))
(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))) x))))
(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x (.f64 (.f64 a a) #s(literal 1/24 binary64))) (*.f64 a #s(literal 1/6 binary64)))))))))
(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/24 binary64)))) (*.f64 a #s(literal 1/6 binary64)))))) x))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 a (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64))))))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 (.f64 (.f64 (.f64 a (.f64 a a)) a) #s(literal 1/24 binary64)) (/.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (+.f64 (.f64 a (*.f64 a #s(literal 1/2 binary64))) (/.f64 a x)) x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 a (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 5/2 binary64) x))) (.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (+.f64 (/.f64 x x) #s(literal -3/2 binary64)) #s(literal 1 binary64)) x)))) (+.f64 (/.f64 x x) #s(literal -3/2 binary64))))) a))
(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 (.f64 (.f64 a a) (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64))) (.f64 (.f64 a a) #s(literal 1/36 binary64))) x) (+.f64 (.f64 a (.f64 x (.f64 a #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/6 binary64) a))))))))
(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 a (.f64 a x)) (.f64 a (.f64 a x))) #s(literal 1/576 binary64))) (-.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 a (.f64 (*.f64 a x) #s(literal 1/24 binary64)))))))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 a (+.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 3 binary64))) x) (+.f64 (.f64 a (+.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 5/2 binary64))) x) (.f64 #s(literal -3/2 binary64) (.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))) x) #s(literal -3/2 binary64)) #s(literal 1 binary64)) x)))) #s(literal -3/2 binary64))))) a))
(.f64 a (+.f64 x (.f64 a (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64))))))) (.f64 a (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64)))))) a))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64)))))) a))))))))

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

Calls

3 calls:

11.0ms	a
10.0ms	x
9.0ms	(*.f64 a x)

Results

Accuracy	Segments	Branch
71.9%	1	`a`
71.9%	1	`x`
71.9%	1	`(*.f64 a x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes15.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(*.f64 a x)
4.0ms	x
4.0ms	a

Results

Accuracy	Segments	Branch
71.3%	1	`a`
71.3%	1	`(*.f64 a x)`
71.3%	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.1%	1	`a`
71.8%	2	`(*.f64 a x)`
67.1%	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

(*.f64 a x)

Results

Accuracy	Segments	Branch
71.8%	2	`(*.f64 a x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)

Outputs
#s(literal -2 binary64)

Calls

2 calls:

2.0ms	a
1.0ms	x

Results

Accuracy	Segments	Branch
8.7%	1	`x`
8.7%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-631.3151888752254	-0.09952358987670404

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-631.3151888752254	-0.09952358987670404

Results

6.0ms

128×

valid

Compiler

Compiled 77 to 66 computations (14.3% saved)

Precisions

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

ival-sub: 1.0ms (45.4% of total)

ival-exp: 1.0ms (45.4% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
8×	`+-commutative_binary64`
2×	`*-lft-identity_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	55
1	39	55

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1 binary64) a) a) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a))) x)
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1/2 binary64)))
(if (<=.f64 (.f64 a x) #s(literal -500 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -2 binary64)) #s(literal -2 binary64) (.f64 a x))
#s(literal -2 binary64)

Outputs
(expm1.f64 (*.f64 a x))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1 binary64) a) a) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a))) x)
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (/.f64 a a) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) a))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1/2 binary64)))
(if (<=.f64 (.f64 a x) #s(literal -500 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -2 binary64)) #s(literal -2 binary64) (.f64 a x))
#s(literal -2 binary64)

soundness1.7s (17.2%)

Rules

5444×	`-lowering-.f32`
5444×	`-lowering-.f64`
5348×	`+-lowering-+.f64`
5348×	`+-lowering-+.f32`
5190×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	250
1	192	238
2	604	236
3	1416	232
4	2879	232
5	3199	232
6	3406	230
7	3492	230
8	3506	230
9	3508	230
10	4704	230
11	4704	230
12	4704	230
13	5383	230
14	5849	230
15	6875	230
0	8083	230
0	50	274
1	308	243
2	2720	234
0	8375	234
0	6	7
1	28	7
2	155	7
3	1417	7
0	8359	7
0	6	4
1	15	4
2	18	4
0	18	4
0	935	8625
1	3456	7722
0	8199	7722
0	618	5942
1	2181	5319
2	7736	5197
0	8284	5197

Stop Event

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

Compiler

Compiled 275 to 182 computations (33.8% saved)

preprocess93.0ms (0.9%)

Remove: (sort a x)
Compiler: Compiled 178 to 96 computations (46.1% 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

analyze50.0ms (0.5%)

sample1.5s (15.4%)

preprocess21.0ms (0.2%)

explain127.0ms (1.3%)

eval3.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize67.0ms (0.7%)

series3.0ms (0%)

rewrite291.0ms (2.9%)

simplify230.0ms (2.3%)

eval38.0ms (0.4%)

prune42.0ms (0.4%)

simplify169.0ms (1.7%)

localize333.0ms (3.4%)

series39.0ms (0.4%)

rewrite378.0ms (3.8%)

simplify292.0ms (2.9%)

eval158.0ms (1.6%)

prune105.0ms (1.1%)

simplify218.0ms (2.2%)

localize610.0ms (6.2%)

series64.0ms (0.7%)

rewrite302.0ms (3%)

simplify466.0ms (4.7%)

eval185.0ms (1.9%)

prune140.0ms (1.4%)

simplify193.0ms (1.9%)

localize573.0ms (5.8%)

series36.0ms (0.4%)

rewrite370.0ms (3.7%)

simplify318.0ms (3.2%)

eval467.0ms (4.7%)

prune141.0ms (1.4%)

regimes67.0ms (0.7%)

regimes33.0ms (0.3%)

regimes15.0ms (0.2%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch11.0ms (0.1%)

simplify10.0ms (0.1%)

soundness1.7s (17.2%)

preprocess93.0ms (0.9%)

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