Metrics for expax (section 3.5)

analyze67.0ms (0.8%)

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: 21.0ms

ival-mult: 14.0ms (65.3% of total)

ival-exp: 3.0ms (14% of total)

ival-sub: 2.0ms (9.3% of total)

ival->: 2.0ms (9.3% of total)

const: 0.0ms (0% of total)

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

sample1.5s (18.7%)

Results

1.0s	5325×	1	valid
219.0ms	2931×	0	valid
26.0ms	275×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 747.0ms

ival-exp: 336.0ms (45% of total)

ival-mult: 163.0ms (21.8% of total)

ival-sub: 86.0ms (11.5% of total)

ival->: 74.0ms (9.9% of total)

backward-pass: 71.0ms (9.5% of total)

const: 16.0ms (2.1% of total)

Bogosity

preprocess53.0ms (0.6%)

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)

explain119.0ms (1.5%)

FPErrors

Click to see full error table

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

Results

65.0ms	318×	1	valid
15.0ms	194×	0	valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

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

ival-exp: 15.0ms (41.8% of total)

ival-mult: 8.0ms (22.3% of total)

ival-sub: 7.0ms (19.5% of total)

backward-pass: 6.0ms (16.7% of total)

const: 1.0ms (2.8% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify5.0ms (0.1%)

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

localize61.0ms (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

46.0ms	159×	5	exit
8.0ms	97×	0	valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

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

backward-pass: 6.0ms (36.3% of total)

compiled-spec: 4.0ms (24.2% of total)

ival-exp: 2.0ms (12.1% of total)

ival-mult: 2.0ms (12.1% of total)

ival-sub: 2.0ms (12.1% of total)

const: 0.0ms (0% of total)

series3.0ms (0%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite330.0ms (4%)

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)

simplify240.0ms (2.9%)

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)

eval45.0ms (0.5%)

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

prune36.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	282	4	286
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	282	5	287

Accuracy

100.0%

Counts

287 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.8%	(.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 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
▶	57.8%	(.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))))))))))
▶	64.4%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 72 to 43 computations (40.3% saved)

simplify191.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	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	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	256	(.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 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 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	0	(*.f64 a x)

Rules

4328×	`+-lowering-+.f64`
4328×	`+-lowering-+.f32`
2204×	`-lowering-.f32`
2204×	`-lowering-.f64`
2162×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	229
1	103	212
2	410	210
3	1438	206
4	3138	206
5	5248	206
0	8015	206

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* a x)
a
x
(* 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
(* (* 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

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

localize232.0ms (2.8%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(.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	99.5%	(.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 a x)
✓	accuracy	100.0%	(.f64 (.f64 a x) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
✓	accuracy	99.0%	(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 a #s(literal 1/24 binary64)))))
✓	accuracy	98.5%	(.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))))))))))
✓	accuracy	94.5%	(.f64 a (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a #s(literal 1/24 binary64))))))
✓	accuracy	89.9%	(.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)

Results

171.0ms

256×

valid

Compiler

Compiled 256 to 28 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 30.0ms (43.3% of total)

ival-add: 29.0ms (41.8% of total)

...c/correct-round.rkt:119:19: 9.0ms (13% of total)

const: 1.0ms (1.4% of total)

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

series28.0ms (0.3%)

Counts

14 → 336

Calls

Call 1

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

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

Calls

84 calls:

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

rewrite371.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4854×	`-lowering-.f32`
4854×	`-lowering-.f64`
3088×	`/-lowering-/.f32`
3088×	`/-lowering-/.f64`
1856×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	176
1	177	161
2	1700	159
0	8524	159

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 474

Calls

Call 1

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

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

simplify283.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

5366×	`-lowering-.f32`
5366×	`-lowering-.f64`
3524×	`+-lowering-+.f64`
3524×	`+-lowering-+.f32`
1530×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	3893
1	1154	3542
2	4098	3444
0	8297	3444

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

eval122.0ms (1.5%)

Compiler: Compiled 32266 to 2313 computations (92.8% saved)

prune79.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	967	3	970
Fresh	0	0	0
Picked	3	1	4
Done	0	1	1
Total	970	5	975

Accuracy

100.0%

Counts

975 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.8%	(.f64 (.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)
▶	63.5%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))) a)
▶	64.6%	(.f64 (.f64 a x) (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (+.f64 (.f64 a (.f64 x (.f64 (.f64 a x) #s(literal 1/6 binary64)))) #s(literal 1 binary64))))
✓	64.4%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 66 to 43 computations (34.8% saved)

simplify90.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

2446×	`fma-define`
1276×	`fma-lowering-fma.f32`
1276×	`fma-lowering-fma.f64`
986×	`-lowering-.f32`
986×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	209
1	78	185
2	247	173
3	729	173
4	1508	173
5	2210	173
6	2446	173
7	2568	173
8	2595	173
9	2859	173
10	2930	173
11	3191	173
12	3194	173
13	3194	173
14	3329	173
15	3337	173
0	3337	173

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (* a x) (+ (* a (* x 1/2)) (+ (* a (* x (* (* a x) 1/6))) 1)))
(* a x)
a
x
(+ (* a (* x 1/2)) (+ (* a (* x (* (* a x) 1/6))) 1))
(* a (* x 1/2))
(* x 1/2)
1/2
(+ (* a (* x (* (* a x) 1/6))) 1)
(* a (* x (* (* a x) 1/6)))
(* x (* (* a x) 1/6))
(* (* a x) 1/6)
1/6
1
(* (* x (+ 1 (* a (* x 1/2)))) a)
(* x (+ 1 (* a (* x 1/2))))
x
(+ 1 (* a (* x 1/2)))
1
(* a (* x 1/2))
a
(* x 1/2)
1/2
(* (* x (+ 1 (* a (* x (+ 1/2 (* (* a x) 1/6)))))) a)
(* x (+ 1 (* a (* x (+ 1/2 (* (* a x) 1/6))))))
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 (* (* a x) 1/6))
1/2
(* (* a x) 1/6)
(* a x)
1/6

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

localize134.0ms (1.6%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 (.f64 a x) #s(literal 1/6 binary64))
✓	accuracy	98.2%	(.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)))))))
✓	accuracy	98.1%	(.f64 (.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)
✓	accuracy	96.7%	(.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	96.7%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))) a)
✓	accuracy	99.8%	(.f64 x (.f64 (*.f64 a x) #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(.f64 (.f64 a x) #s(literal 1/6 binary64))
✓	accuracy	94.9%	(.f64 a (.f64 x (.f64 (.f64 a x) #s(literal 1/6 binary64))))
✓	accuracy	93.8%	(+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (+.f64 (.f64 a (.f64 x (.f64 (.f64 a x) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))

Results

94.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 213 to 24 computations (88.7% saved)

Precisions

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

ival-mult: 24.0ms (68.8% of total)

ival-add: 6.0ms (17.2% of total)

...c/correct-round.rkt:119:19: 4.0ms (11.5% of total)

const: 1.0ms (2.9% of total)

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

series12.0ms (0.2%)

Counts

15 → 348

Calls

Call 1

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

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

Calls

87 calls:

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

rewrite341.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4324×	`-lowering-.f32`
4324×	`-lowering-.f64`
3774×	`/-lowering-/.f32`
3774×	`/-lowering-/.f64`
1474×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	153
1	135	131
2	1219	122
0	8293	122

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 616

Calls

Call 1

Inputs
(* (* a x) (+ (* a (* x 1/2)) (+ (* a (* x (* (* a x) 1/6))) 1)))
(+ (* a (* x 1/2)) (+ (* a (* x (* (* a x) 1/6))) 1))
(* a x)
(* a (* x 1/2))
(* (* x (+ 1 (* a (* x 1/2)))) a)
(* x (+ 1 (* a (* x 1/2))))
(+ 1 (* a (* x 1/2)))
(* (* x (+ 1 (* a (* x (+ 1/2 (* (* a x) 1/6)))))) a)
(* x (+ 1 (* a (* x (+ 1/2 (* (* a x) 1/6))))))
(+ 1 (* a (* x (+ 1/2 (* (* a x) 1/6)))))
(* a (* x (+ 1/2 (* (* a x) 1/6))))
(* a (* x (* (* a x) 1/6)))
(* (* a x) 1/6)
(* x (* (* a x) 1/6))
(* x 1/2)

Outputs
(+.f64 (.f64 a x) (.f64 a (.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a x) #s(literal 1/6 binary64))))))
(+.f64 (.f64 a x) (.f64 (.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a x) #s(literal 1/6 binary64)))) a))
(+.f64 (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))) (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(+.f64 (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 a x) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))) (*.f64 a x))
(+.f64 (.f64 (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))) (.f64 a x)) (*.f64 a x))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))) (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))))) (-.f64 (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))))) (/.f64 (.f64 (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))) (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))))))
(fma.f64 a x (.f64 a (.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))))
(fma.f64 a x (.f64 (.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))) a))
(fma.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))))
(fma.f64 a (.f64 x (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))) (.f64 x (.f64 a (.f64 a (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 x a (.f64 a (.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))))
(fma.f64 x a (.f64 (.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))) a))
(fma.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))))
(fma.f64 x (.f64 a (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))) (.f64 x (.f64 a (.f64 a (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))))
(fma.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64)) (.f64 x (.f64 a (.f64 a (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (.f64 a x) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))) (.f64 a x))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 a x)) (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))))
(fma.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x) (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))))
(fma.f64 (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64)) (.f64 a x) (.f64 x (.f64 a (.f64 a (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))) (.f64 a x) (.f64 a x))
(fma.f64 (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64)))) a (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))))
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(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x))) (-.f64 (.f64 (.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 1/36 binary64)) (.f64 (.f64 a x) (.f64 a x))) (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) a))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x))) (.f64 (.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 1/36 binary64)) (.f64 (.f64 a x) (.f64 a x)))) (-.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a))))
(/.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) (+.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (.f64 a x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))))) (neg.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x))) (-.f64 (.f64 (.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 1/36 binary64)) (.f64 (.f64 a x) (.f64 a x))) (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) a)))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x))) (.f64 (.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 1/36 binary64)) (.f64 (.f64 a x) (.f64 a x))))) (neg.f64 (-.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)))))
(/.f64 (neg.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) (+.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 a x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 1/36 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x))))) (+.f64 (.f64 (.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 1/36 binary64)) (.f64 (.f64 a x) (.f64 a x))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x))) (.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) (.f64 a (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 1/36 binary64)) (.f64 (.f64 a x) (.f64 a x))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x)))) (-.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))
(.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))
(.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))) a))
(.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a x) #s(literal 1/6 binary64))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))) (.f64 a x))
(.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))) a)
(.f64 (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x))) (-.f64 (.f64 (.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 1/36 binary64)) (.f64 (.f64 a x) (.f64 a x))) (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)))))))
(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x))) (.f64 (.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 1/36 binary64)) (.f64 (.f64 a x) (.f64 a x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) a)))))
(.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))) x)
(.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) (+.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(.f64 (.f64 (.f64 a x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a x) #s(literal 1/6 binary64)))))
(.f64 a (.f64 x (.f64 (.f64 a x) #s(literal 1/6 binary64))))
(.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a))
(.f64 x (.f64 a (.f64 (.f64 a x) #s(literal 1/6 binary64))))
(.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/6 binary64)))
(.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) (.f64 a x))
(.f64 (.f64 x (.f64 (.f64 a x) #s(literal 1/6 binary64))) a)
(.f64 (.f64 x (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) a)))
(.f64 (.f64 x (.f64 a x)) (.f64 #s(literal 1/6 binary64) a))
(.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 1/6 binary64))
(.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 a (.f64 (.f64 a x) #s(literal 1/6 binary64))) x)
(.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/6 binary64))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(.f64 (.f64 a x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 a x))
(.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 1/6 binary64)) a)
(.f64 (.f64 #s(literal 1/6 binary64) a) x)
(.f64 a (.f64 (*.f64 x #s(literal 1/6 binary64)) x))
(.f64 x (.f64 (*.f64 a x) #s(literal 1/6 binary64)))
(.f64 (.f64 a x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 a x)))
(.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) x)
(.f64 (.f64 x (.f64 (.f64 a x) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 a x)) #s(literal 1/6 binary64))
(.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 a x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))

simplify226.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3602×	`-lowering-.f32`
3602×	`-lowering-.f64`
1690×	`fma-lowering-fma.f32`
1690×	`fma-lowering-fma.f64`
1564×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	3225
1	612	2818
2	2232	2690
3	5634	2687
0	8103	2687

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

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

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

eval139.0ms (1.7%)

Compiler: Compiled 37395 to 1915 computations (94.9% saved)

prune83.0ms (1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1094	5	1099
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	1095	9	1104

Accuracy

100.0%

Counts

1104 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.9%	(/.f64 (-.f64 (.f64 (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))) (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64)))) (.f64 (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))) (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))))) (-.f64 (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))) (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))))))
▶	63.5%	(/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
▶	64.2%	(.f64 (+.f64 (.f64 (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64)) x) (.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))))) a)
▶	63.5%	(.f64 (+.f64 (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64)))) x) a)
▶	64.1%	(.f64 (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))) (-.f64 (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)))) (-.f64 (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 x (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) a))))) a)
✓	64.8%	(.f64 (.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)
✓	64.6%	(.f64 (.f64 a x) (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (+.f64 (.f64 a (.f64 x (.f64 (.f64 a x) #s(literal 1/6 binary64)))) #s(literal 1 binary64))))
✓	64.4%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 427 to 186 computations (56.4% saved)

simplify200.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))) (.f64 x (.f64 a (.f64 a (*.f64 x #s(literal 1/2 binary64))))))
✓	cost-diff	512	(-.f64 (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))) (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))))
✓	cost-diff	1024	(-.f64 (.f64 (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))) (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64)))) (.f64 (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))) (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))))))
✓	cost-diff	3840	(/.f64 (-.f64 (.f64 (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))) (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64)))) (.f64 (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))) (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))))) (-.f64 (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))) (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))))))
✓	cost-diff	256	(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))) (-.f64 (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 x (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) a))))
✓	cost-diff	2304	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))) (-.f64 (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)))) (-.f64 (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 x (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) a))))
✓	cost-diff	2304	(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))) (-.f64 (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)))) (-.f64 (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)))))
✓	cost-diff	2304	(.f64 (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))) (-.f64 (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)))) (-.f64 (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 x (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) a))))) a)
✓	cost-diff	0	(+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	128	(/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓	cost-diff	0	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64)))) x)
✓	cost-diff	0	(.f64 (+.f64 (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64)))) x) a)
✓	cost-diff	0	(+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (+.f64 (.f64 x (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64)) x)
✓	cost-diff	384	(+.f64 (.f64 (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64)) x) (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	384	(.f64 (+.f64 (.f64 (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64)) x) (.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))))) a)

Rules

4438×	`-lowering-.f32`
4438×	`-lowering-.f64`
3682×	`+-lowering-+.f64`
3682×	`+-lowering-+.f32`
1784×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	603
1	151	492
2	641	462
3	2504	459
0	8546	459

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize302.0ms (3.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	96.1%	(.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	96.1%	(.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a))
✓	accuracy	78.5%	(-.f64 (.f64 (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))) (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64)))) (.f64 (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))) (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))))))
✓	accuracy	36.9%	(/.f64 (-.f64 (.f64 (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))) (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64)))) (.f64 (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))) (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))))) (-.f64 (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))) (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))))))
✓	accuracy	98.2%	(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))) (-.f64 (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)))) (-.f64 (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)))))
✓	accuracy	98.1%	(.f64 (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))) (-.f64 (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)))) (-.f64 (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 x (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) a))))) a)
✓	accuracy	96.1%	(.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a))
✓	accuracy	77.6%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))) (-.f64 (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)))) (-.f64 (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 x (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) a))))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64)))) x)
✓	accuracy	100.0%	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))))
✓	accuracy	96.7%	(.f64 (+.f64 (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64)))) x) a)
✓	accuracy	98.2%	(.f64 (+.f64 (.f64 x (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64)) x)
✓	accuracy	98.1%	(.f64 (+.f64 (.f64 (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64)) x) (.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))))) a)
✓	accuracy	96.1%	(.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a))
✓	accuracy	85.0%	(+.f64 (.f64 (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64)) x) (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64)))))

Results

203.0ms

256×

valid

Compiler

Compiled 765 to 41 computations (94.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 34.0ms (56% of total)

ival-add: 9.0ms (14.8% of total)

ival-div: 7.0ms (11.5% of total)

ival-sub: 5.0ms (8.2% of total)

...c/correct-round.rkt:119:19: 4.0ms (6.6% of total)

const: 1.0ms (1.6% of total)

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

series37.0ms (0.5%)

Counts

22 → 528

Calls

Call 1

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

Outputs
#<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 (* 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 x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
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#<alt (* (pow x 4) (+ (* -1/12 (/ (pow a 3) x)) (+ (* -1/36 (pow a 4)) (* 1/12 (/ (pow a 3) x)))))>
#<alt (* (pow x 4) (+ (* -1/3 (/ (pow a 2) (pow x 2))) (+ (* -1/12 (/ (pow a 3) x)) (+ (* -1/36 (pow a 4)) (+ (* 1/12 (/ (pow a 3) x)) (* 1/4 (/ (pow a 2) (pow x 2))))))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ a (pow x 3))) (+ (* -1/3 (/ (pow a 2) (pow x 2))) (+ (* -1/12 (/ (pow a 3) x)) (+ (* -1/36 (pow a 4)) (+ (* 1/12 (/ (pow a 3) x)) (+ (* 1/4 (/ (pow a 2) (pow x 2))) (* 1/2 (/ a (pow x 3))))))))))>
#<alt (* -1/36 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/12 (pow a 3)) (* 1/12 (pow a 3))) x)) (* -1/36 (pow a 4))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow a 2)) (* 1/4 (pow a 2))) x)) (+ (* -1/12 (pow a 3)) (* 1/12 (pow a 3)))) x)) (* -1/36 (pow a 4))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 a) (* 1/2 a)) x)) (+ (* -1/3 (pow a 2)) (* 1/4 (pow a 2)))) x)) (+ (* -1/12 (pow a 3)) (* 1/12 (pow a 3)))) x)) (* -1/36 (pow a 4))))>
#<alt -1>
#<alt (- (* a (+ (* -1/2 x) (* 1/2 x))) 1)>
#<alt (- (* a (+ (* -1/2 x) (+ (* 1/2 x) (* a (+ (* -1/3 (pow x 2)) (* 1/4 (pow x 2))))))) 1)>
#<alt (- (* a (+ (* -1/2 x) (+ (* 1/2 x) (* a (+ (* -1/3 (pow x 2)) (+ (* 1/4 (pow x 2)) (* a (+ (* -1/12 (pow x 3)) (* 1/12 (pow x 3)))))))))) 1)>
#<alt (* -1/36 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* -1/12 (/ (pow x 3) a)) (+ (* -1/36 (pow x 4)) (* 1/12 (/ (pow x 3) a)))))>
#<alt (* (pow a 4) (+ (* -1/3 (/ (pow x 2) (pow a 2))) (+ (* -1/12 (/ (pow x 3) a)) (+ (* -1/36 (pow x 4)) (+ (* 1/12 (/ (pow x 3) a)) (* 1/4 (/ (pow x 2) (pow a 2))))))))>
#<alt (* (pow a 4) (+ (* -1/2 (/ x (pow a 3))) (+ (* -1/3 (/ (pow x 2) (pow a 2))) (+ (* -1/12 (/ (pow x 3) a)) (+ (* -1/36 (pow x 4)) (+ (* 1/12 (/ (pow x 3) a)) (+ (* 1/4 (/ (pow x 2) (pow a 2))) (* 1/2 (/ x (pow a 3))))))))))>
#<alt (* -1/36 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* -1 (/ (+ (* -1/12 (pow x 3)) (* 1/12 (pow x 3))) a)) (* -1/36 (pow x 4))))>
#<alt (* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow x 2)) (* 1/4 (pow x 2))) a)) (+ (* -1/12 (pow x 3)) (* 1/12 (pow x 3)))) a)) (* -1/36 (pow x 4))))>
#<alt (* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 x)) a)) (+ (* -1/3 (pow x 2)) (* 1/4 (pow x 2)))) a)) (+ (* -1/12 (pow x 3)) (* 1/12 (pow x 3)))) a)) (* -1/36 (pow x 4))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (- (* a (- (* 1/3 (pow x 3)) (+ (* -1/4 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/4 (pow x 3)))))) (* -1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (- (* a (- (+ (* -1 (* a (+ (* -1/2 (* x (- (* 1/3 (pow x 3)) (+ (* -1/4 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/4 (pow x 3))))))) (* 1/12 (pow x 4))))) (* 1/3 (pow x 3))) (+ (* -1/4 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/4 (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)) (* 6 (/ (- (* 1/3 (pow x 4)) (* 1/4 (pow x 4))) (* (pow a 2) (pow x 3))))) (+ (* -3/2 (/ x (pow a 2))) (+ (* -1/2 (/ (pow x 2) a)) (/ x (pow a 2))))))>
#<alt (* (pow a 3) (- (+ (* -1 (/ (+ 3 (* -3 (/ (- (* 6 (/ (- (* 1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow x 3))) (+ x (* -3/2 x))) x))) (pow a 3))) (+ (* 1/6 (pow x 3)) (* 6 (/ (- (* 1/3 (pow x 4)) (* 1/4 (pow x 4))) (* (pow a 2) (pow x 3)))))) (+ (* -3/2 (/ x (pow a 2))) (+ (* -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 (/ (- (* -6 (/ (- (* 1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow x 3))) (+ (* -1 x) (* 3/2 x))) a)) (* -1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -6 (/ (- (* 1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow x 3))) (+ (* 3 (/ (- (* -6 (/ (- (* 1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow x 3))) (+ (* -1 x) (* 3/2 x))) (* a x))) (* 3 (/ 1 a)))) (+ (* -1 x) (* 3/2 x))) a)) (* -1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (- (* x (- (* 1/3 (pow a 3)) (+ (* -1/4 (pow a 3)) (+ (* 1/6 (pow a 3)) (* 1/4 (pow a 3)))))) (* -1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (* a (- (* 1/3 (pow a 3)) (+ (* -1/4 (pow a 3)) (+ (* 1/6 (pow a 3)) (* 1/4 (pow a 3))))))) (* 1/12 (pow a 4))))) (* 1/3 (pow a 3))) (+ (* -1/4 (pow a 3)) (+ (* 1/6 (pow a 3)) (* 1/4 (pow a 3)))))) (* -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)) (* 6 (/ (- (* 1/3 (pow a 4)) (* 1/4 (pow a 4))) (* (pow a 3) (pow x 2))))) (+ (* -3/2 (/ a (pow x 2))) (+ (* -1/2 (/ (pow a 2) x)) (/ a (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (* -1 (/ (+ 3 (* -3 (/ (- (* 6 (/ (- (* 1/3 (pow a 4)) (* 1/4 (pow a 4))) (pow a 3))) (+ a (* -3/2 a))) a))) (pow x 3))) (+ (* 1/6 (pow a 3)) (* 6 (/ (- (* 1/3 (pow a 4)) (* 1/4 (pow a 4))) (* (pow a 3) (pow x 2)))))) (+ (* -3/2 (/ a (pow x 2))) (+ (* -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 (/ (- (* -6 (/ (- (* 1/3 (pow a 4)) (* 1/4 (pow a 4))) (pow a 3))) (+ (* -1 a) (* 3/2 a))) x)) (* -1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -6 (/ (- (* 1/3 (pow a 4)) (* 1/4 (pow a 4))) (pow a 3))) (+ (* 3 (/ (- (* -6 (/ (- (* 1/3 (pow a 4)) (* 1/4 (pow a 4))) (pow a 3))) (+ (* -1 a) (* 3/2 a))) (* a x))) (* 3 (/ 1 x)))) (+ (* -1 a) (* 3/2 a))) x)) (* -1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* (pow a 2) (- (* 1/3 (pow x 4)) (* 1/4 (pow x 4)))) (pow x 2)))>
#<alt (* (pow a 2) (+ (* (pow a 2) (- (+ (* 1/36 (* (pow a 2) (pow x 6))) (* 1/3 (pow x 4))) (* 1/4 (pow x 4)))) (pow x 2)))>
#<alt (* (pow a 2) (+ (* (pow a 2) (- (+ (* 1/36 (* (pow a 2) (pow x 6))) (* 1/3 (pow x 4))) (* 1/4 (pow x 4)))) (pow x 2)))>
#<alt (* 1/36 (* (pow a 6) (pow x 6)))>
#<alt (* (pow a 6) (- (+ (* 1/36 (pow x 6)) (* 1/3 (/ (pow x 4) (pow a 2)))) (* 1/4 (/ (pow x 4) (pow a 2)))))>
#<alt (* (pow a 6) (- (+ (* 1/36 (pow x 6)) (+ (* 1/3 (/ (pow x 4) (pow a 2))) (/ (pow x 2) (pow a 4)))) (* 1/4 (/ (pow x 4) (pow a 2)))))>
#<alt (* (pow a 6) (- (+ (* 1/36 (pow x 6)) (+ (* 1/3 (/ (pow x 4) (pow a 2))) (/ (pow x 2) (pow a 4)))) (* 1/4 (/ (pow x 4) (pow a 2)))))>
#<alt (* 1/36 (* (pow a 6) (pow x 6)))>
#<alt (* (pow a 6) (- (+ (* 1/36 (pow x 6)) (* 1/3 (/ (pow x 4) (pow a 2)))) (* 1/4 (/ (pow x 4) (pow a 2)))))>
#<alt (* (pow a 6) (- (+ (* 1/36 (pow x 6)) (+ (* 1/3 (/ (pow x 4) (pow a 2))) (/ (pow x 2) (pow a 4)))) (* 1/4 (/ (pow x 4) (pow a 2)))))>
#<alt (* (pow a 6) (- (+ (* 1/36 (pow x 6)) (+ (* 1/3 (/ (pow x 4) (pow a 2))) (/ (pow x 2) (pow a 4)))) (* 1/4 (/ (pow x 4) (pow a 2)))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* (pow x 2) (- (* 1/3 (pow a 4)) (* 1/4 (pow a 4)))) (pow a 2)))>
#<alt (* (pow x 2) (+ (* (pow x 2) (- (+ (* 1/36 (* (pow a 6) (pow x 2))) (* 1/3 (pow a 4))) (* 1/4 (pow a 4)))) (pow a 2)))>
#<alt (* (pow x 2) (+ (* (pow x 2) (- (+ (* 1/36 (* (pow a 6) (pow x 2))) (* 1/3 (pow a 4))) (* 1/4 (pow a 4)))) (pow a 2)))>
#<alt (* 1/36 (* (pow a 6) (pow x 6)))>
#<alt (* (pow x 6) (- (+ (* 1/36 (pow a 6)) (* 1/3 (/ (pow a 4) (pow x 2)))) (* 1/4 (/ (pow a 4) (pow x 2)))))>
#<alt (* (pow x 6) (- (+ (* 1/36 (pow a 6)) (+ (* 1/3 (/ (pow a 4) (pow x 2))) (/ (pow a 2) (pow x 4)))) (* 1/4 (/ (pow a 4) (pow x 2)))))>
#<alt (* (pow x 6) (- (+ (* 1/36 (pow a 6)) (+ (* 1/3 (/ (pow a 4) (pow x 2))) (/ (pow a 2) (pow x 4)))) (* 1/4 (/ (pow a 4) (pow x 2)))))>
#<alt (* 1/36 (* (pow a 6) (pow x 6)))>
#<alt (* (pow x 6) (- (+ (* 1/36 (pow a 6)) (* 1/3 (/ (pow a 4) (pow x 2)))) (* 1/4 (/ (pow a 4) (pow x 2)))))>
#<alt (* (pow x 6) (- (+ (* 1/36 (pow a 6)) (+ (* 1/3 (/ (pow a 4) (pow x 2))) (/ (pow a 2) (pow x 4)))) (* 1/4 (/ (pow a 4) (pow x 2)))))>
#<alt (* (pow x 6) (- (+ (* 1/36 (pow a 6)) (+ (* 1/3 (/ (pow a 4) (pow x 2))) (/ (pow a 2) (pow x 4)))) (* 1/4 (/ (pow a 4) (pow x 2)))))>
#<alt (* a x)>
#<alt (* a (+ x (* -1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (- (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (- (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* 1/6 (pow x 3))))>
#<alt (* (pow a 3) (- (+ (* 1/6 (pow x 3)) (/ x (pow a 2))) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (- (+ (* 1/6 (pow x 3)) (/ x (pow a 2))) (* 1/2 (/ (pow x 2) a))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (- (/ x a) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (- (/ x a) (* 1/2 (pow x 2))) 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) (+ (* -1/2 (/ (pow a 2) x)) (* 1/6 (pow a 3))))>
#<alt (* (pow x 3) (- (+ (* 1/6 (pow a 3)) (/ a (pow x 2))) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (- (+ (* 1/6 (pow a 3)) (/ a (pow x 2))) (* 1/2 (/ (pow a 2) x))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (/ a x) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (/ a x) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/4 (* (pow a 4) (pow x 4)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>

Calls

132 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(* (* x (/ (* (+ 1 (* x (* a (+ 1/2 (* (* a x) 1/6))))) (- (+ (* a (* x 1/2)) -1) (* x (* (* (* a x) 1/6) a)))) (- (+ (* a (* x 1/2)) -1) (* x (* (* (* a x) 1/6) a))))) a)
1.0ms	a	@	inf	(/ (- (* (* (* a x) (+ (* x (* (* (* a x) 1/6) a)) 1)) (* (* a x) (+ (* x (* (* (* a x) 1/6) a)) 1))) (* (* x (* a (* a (* x 1/2)))) (* x (* a (* a (* x 1/2)))))) (- (* (* a x) (+ (* x (* (* (* a x) 1/6) a)) 1)) (* x (* a (* a (* x 1/2))))))
1.0ms	x	@	inf	(/ (- (* (* (* a x) (+ (* x (* (* (* a x) 1/6) a)) 1)) (* (* a x) (+ (* x (* (* (* a x) 1/6) a)) 1))) (* (* x (* a (* a (* x 1/2)))) (* x (* a (* a (* x 1/2)))))) (- (* (* a x) (+ (* x (* (* (* a x) 1/6) a)) 1)) (* x (* a (* a (* x 1/2))))))
1.0ms	a	@	0	(/ (- (* (* (* a x) (+ (* x (* (* (* a x) 1/6) a)) 1)) (* (* a x) (+ (* x (* (* (* a x) 1/6) a)) 1))) (* (* x (* a (* a (* x 1/2)))) (* x (* a (* a (* x 1/2)))))) (- (* (* a x) (+ (* x (* (* (* a x) 1/6) a)) 1)) (* x (* a (* a (* x 1/2))))))
1.0ms	x	@	0	(* (* x (* a (* a (* x 1/2)))) (* x (* a (* a (* x 1/2)))))

rewrite322.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4030×	`-lowering-.f32`
4030×	`-lowering-.f64`
1832×	`pow-lowering-pow.f64`
1832×	`pow-lowering-pow.f32`
1470×	`unpow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	393
1	299	265
2	2872	262
0	8161	262

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 608

Calls

Call 1

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

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

simplify572.0ms (7%)

Algorithm

1×	egg-herbie

Rules

4910×	`-lowering-.f32`
4910×	`-lowering-.f64`
4318×	`+-lowering-+.f64`
4318×	`+-lowering-+.f32`
1792×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	692	6704
1	2647	5693
0	8766	5693

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

Inputs
(* 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)))))
(* 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)))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
x
(* x (+ 1 (* 1/6 (* (pow a 2) (pow x 2)))))
(* x (+ 1 (* 1/6 (* (pow a 2) (pow x 2)))))
(* x (+ 1 (* 1/6 (* (pow a 2) (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (- (* -1/6 (pow a 2)) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (* -1/6 (pow a 2)) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (* -1/6 (pow a 2)) (/ 1 (pow x 2)))))
x
(+ x (* 1/6 (* (pow a 2) (pow x 3))))
(+ x (* 1/6 (* (pow a 2) (pow x 3))))
(+ x (* 1/6 (* (pow a 2) (pow x 3))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 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 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))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* 1/2 (* a x))))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* 1/2 (* a (pow x 2))))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* a (pow x 2)))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 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 (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* 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 (* -1/2 (* a x)))
(+ 1 (* a (- (* 1/4 (* a (pow x 2))) (* 1/2 x))))
(+ 1 (* a (- (* a (- (* -1/8 (* a (pow x 3))) (* -1/4 (pow x 2)))) (* 1/2 x))))
(/ 2 (* a x))
(/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* a (pow x 2))))) a)
(/ (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow a 2) (pow x 3)))) (/ 4 (* a (pow x 2)))) a)
(/ (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow a 2) (pow x 3))))) (+ (* 16 (/ 1 (* (pow a 3) (pow x 4)))) (/ 4 (* a (pow x 2))))) a)
(/ 2 (* a x))
(* -1 (/ (- (* 4 (/ 1 (* a (pow x 2)))) (* 2 (/ 1 x))) a))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 3)))) (* 4 (/ 1 (pow x 2)))) a)) (* 2 (/ 1 x))) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* a (pow x 4)))) (* 8 (/ 1 (pow x 3)))) a)) (* 4 (/ 1 (pow x 2)))) a)) (* 2 (/ 1 x))) a))
1
(+ 1 (* -1/2 (* a x)))
(+ 1 (* x (- (* 1/4 (* (pow a 2) x)) (* 1/2 a))))
(+ 1 (* x (- (* x (- (* -1/8 (* (pow a 3) x)) (* -1/4 (pow a 2)))) (* 1/2 a))))
(/ 2 (* a x))
(/ (- (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) x)))) x)
(/ (- (+ (* 2 (/ 1 a)) (/ 8 (* (pow a 3) (pow x 2)))) (/ 4 (* (pow a 2) x))) x)
(/ (- (+ (* 2 (/ 1 a)) (* 8 (/ 1 (* (pow a 3) (pow x 2))))) (+ (* 16 (/ 1 (* (pow a 4) (pow x 3)))) (/ 4 (* (pow a 2) x)))) x)
(/ 2 (* a x))
(* -1 (/ (- (* 4 (/ 1 (* (pow a 2) x))) (* 2 (/ 1 a))) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow a 3) x))) (* 4 (/ 1 (pow a 2)))) x)) (* 2 (/ 1 a))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow a 4) x))) (* 8 (/ 1 (pow a 3)))) x)) (* 4 (/ 1 (pow a 2)))) x)) (* 2 (/ 1 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))))
(* 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)))))
(* 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)))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
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
(+ 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
(- (* x (+ (* -1/2 a) (* 1/2 a))) 1)
(- (* x (+ (* -1/2 a) (+ (* 1/2 a) (* x (+ (* -1/3 (pow a 2)) (* 1/4 (pow a 2))))))) 1)
(- (* x (+ (* -1/2 a) (+ (* 1/2 a) (* x (+ (* -1/3 (pow a 2)) (+ (* 1/4 (pow a 2)) (* x (+ (* -1/12 (pow a 3)) (* 1/12 (pow a 3)))))))))) 1)
(* -1/36 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* -1/12 (/ (pow a 3) x)) (+ (* -1/36 (pow a 4)) (* 1/12 (/ (pow a 3) x)))))
(* (pow x 4) (+ (* -1/3 (/ (pow a 2) (pow x 2))) (+ (* -1/12 (/ (pow a 3) x)) (+ (* -1/36 (pow a 4)) (+ (* 1/12 (/ (pow a 3) x)) (* 1/4 (/ (pow a 2) (pow x 2))))))))
(* (pow x 4) (+ (* -1/2 (/ a (pow x 3))) (+ (* -1/3 (/ (pow a 2) (pow x 2))) (+ (* -1/12 (/ (pow a 3) x)) (+ (* -1/36 (pow a 4)) (+ (* 1/12 (/ (pow a 3) x)) (+ (* 1/4 (/ (pow a 2) (pow x 2))) (* 1/2 (/ a (pow x 3))))))))))
(* -1/36 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/12 (pow a 3)) (* 1/12 (pow a 3))) x)) (* -1/36 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow a 2)) (* 1/4 (pow a 2))) x)) (+ (* -1/12 (pow a 3)) (* 1/12 (pow a 3)))) x)) (* -1/36 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 a) (* 1/2 a)) x)) (+ (* -1/3 (pow a 2)) (* 1/4 (pow a 2)))) x)) (+ (* -1/12 (pow a 3)) (* 1/12 (pow a 3)))) x)) (* -1/36 (pow a 4))))
-1
(- (* a (+ (* -1/2 x) (* 1/2 x))) 1)
(- (* a (+ (* -1/2 x) (+ (* 1/2 x) (* a (+ (* -1/3 (pow x 2)) (* 1/4 (pow x 2))))))) 1)
(- (* a (+ (* -1/2 x) (+ (* 1/2 x) (* a (+ (* -1/3 (pow x 2)) (+ (* 1/4 (pow x 2)) (* a (+ (* -1/12 (pow x 3)) (* 1/12 (pow x 3)))))))))) 1)
(* -1/36 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* -1/12 (/ (pow x 3) a)) (+ (* -1/36 (pow x 4)) (* 1/12 (/ (pow x 3) a)))))
(* (pow a 4) (+ (* -1/3 (/ (pow x 2) (pow a 2))) (+ (* -1/12 (/ (pow x 3) a)) (+ (* -1/36 (pow x 4)) (+ (* 1/12 (/ (pow x 3) a)) (* 1/4 (/ (pow x 2) (pow a 2))))))))
(* (pow a 4) (+ (* -1/2 (/ x (pow a 3))) (+ (* -1/3 (/ (pow x 2) (pow a 2))) (+ (* -1/12 (/ (pow x 3) a)) (+ (* -1/36 (pow x 4)) (+ (* 1/12 (/ (pow x 3) a)) (+ (* 1/4 (/ (pow x 2) (pow a 2))) (* 1/2 (/ x (pow a 3))))))))))
(* -1/36 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/12 (pow x 3)) (* 1/12 (pow x 3))) a)) (* -1/36 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow x 2)) (* 1/4 (pow x 2))) a)) (+ (* -1/12 (pow x 3)) (* 1/12 (pow x 3)))) a)) (* -1/36 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 x)) a)) (+ (* -1/3 (pow x 2)) (* 1/4 (pow x 2)))) a)) (+ (* -1/12 (pow x 3)) (* 1/12 (pow x 3)))) a)) (* -1/36 (pow x 4))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (- (* a (- (* 1/3 (pow x 3)) (+ (* -1/4 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/4 (pow x 3)))))) (* -1/2 (pow x 2))))))
(* a (+ x (* a (- (* a (- (+ (* -1 (* a (+ (* -1/2 (* x (- (* 1/3 (pow x 3)) (+ (* -1/4 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/4 (pow x 3))))))) (* 1/12 (pow x 4))))) (* 1/3 (pow x 3))) (+ (* -1/4 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/4 (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)) (* 6 (/ (- (* 1/3 (pow x 4)) (* 1/4 (pow x 4))) (* (pow a 2) (pow x 3))))) (+ (* -3/2 (/ x (pow a 2))) (+ (* -1/2 (/ (pow x 2) a)) (/ x (pow a 2))))))
(* (pow a 3) (- (+ (* -1 (/ (+ 3 (* -3 (/ (- (* 6 (/ (- (* 1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow x 3))) (+ x (* -3/2 x))) x))) (pow a 3))) (+ (* 1/6 (pow x 3)) (* 6 (/ (- (* 1/3 (pow x 4)) (* 1/4 (pow x 4))) (* (pow a 2) (pow x 3)))))) (+ (* -3/2 (/ x (pow a 2))) (+ (* -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 (/ (- (* -6 (/ (- (* 1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow x 3))) (+ (* -1 x) (* 3/2 x))) a)) (* -1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -6 (/ (- (* 1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow x 3))) (+ (* 3 (/ (- (* -6 (/ (- (* 1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow x 3))) (+ (* -1 x) (* 3/2 x))) (* a x))) (* 3 (/ 1 a)))) (+ (* -1 x) (* 3/2 x))) a)) (* -1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (- (* x (- (* 1/3 (pow a 3)) (+ (* -1/4 (pow a 3)) (+ (* 1/6 (pow a 3)) (* 1/4 (pow a 3)))))) (* -1/2 (pow a 2))))))
(* x (+ a (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (* a (- (* 1/3 (pow a 3)) (+ (* -1/4 (pow a 3)) (+ (* 1/6 (pow a 3)) (* 1/4 (pow a 3))))))) (* 1/12 (pow a 4))))) (* 1/3 (pow a 3))) (+ (* -1/4 (pow a 3)) (+ (* 1/6 (pow a 3)) (* 1/4 (pow a 3)))))) (* -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)) (* 6 (/ (- (* 1/3 (pow a 4)) (* 1/4 (pow a 4))) (* (pow a 3) (pow x 2))))) (+ (* -3/2 (/ a (pow x 2))) (+ (* -1/2 (/ (pow a 2) x)) (/ a (pow x 2))))))
(* (pow x 3) (- (+ (* -1 (/ (+ 3 (* -3 (/ (- (* 6 (/ (- (* 1/3 (pow a 4)) (* 1/4 (pow a 4))) (pow a 3))) (+ a (* -3/2 a))) a))) (pow x 3))) (+ (* 1/6 (pow a 3)) (* 6 (/ (- (* 1/3 (pow a 4)) (* 1/4 (pow a 4))) (* (pow a 3) (pow x 2)))))) (+ (* -3/2 (/ a (pow x 2))) (+ (* -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 (/ (- (* -6 (/ (- (* 1/3 (pow a 4)) (* 1/4 (pow a 4))) (pow a 3))) (+ (* -1 a) (* 3/2 a))) x)) (* -1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -6 (/ (- (* 1/3 (pow a 4)) (* 1/4 (pow a 4))) (pow a 3))) (+ (* 3 (/ (- (* -6 (/ (- (* 1/3 (pow a 4)) (* 1/4 (pow a 4))) (pow a 3))) (+ (* -1 a) (* 3/2 a))) (* a x))) (* 3 (/ 1 x)))) (+ (* -1 a) (* 3/2 a))) x)) (* -1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* (pow a 2) (- (* 1/3 (pow x 4)) (* 1/4 (pow x 4)))) (pow x 2)))
(* (pow a 2) (+ (* (pow a 2) (- (+ (* 1/36 (* (pow a 2) (pow x 6))) (* 1/3 (pow x 4))) (* 1/4 (pow x 4)))) (pow x 2)))
(* (pow a 2) (+ (* (pow a 2) (- (+ (* 1/36 (* (pow a 2) (pow x 6))) (* 1/3 (pow x 4))) (* 1/4 (pow x 4)))) (pow x 2)))
(* 1/36 (* (pow a 6) (pow x 6)))
(* (pow a 6) (- (+ (* 1/36 (pow x 6)) (* 1/3 (/ (pow x 4) (pow a 2)))) (* 1/4 (/ (pow x 4) (pow a 2)))))
(* (pow a 6) (- (+ (* 1/36 (pow x 6)) (+ (* 1/3 (/ (pow x 4) (pow a 2))) (/ (pow x 2) (pow a 4)))) (* 1/4 (/ (pow x 4) (pow a 2)))))
(* (pow a 6) (- (+ (* 1/36 (pow x 6)) (+ (* 1/3 (/ (pow x 4) (pow a 2))) (/ (pow x 2) (pow a 4)))) (* 1/4 (/ (pow x 4) (pow a 2)))))
(* 1/36 (* (pow a 6) (pow x 6)))
(* (pow a 6) (- (+ (* 1/36 (pow x 6)) (* 1/3 (/ (pow x 4) (pow a 2)))) (* 1/4 (/ (pow x 4) (pow a 2)))))
(* (pow a 6) (- (+ (* 1/36 (pow x 6)) (+ (* 1/3 (/ (pow x 4) (pow a 2))) (/ (pow x 2) (pow a 4)))) (* 1/4 (/ (pow x 4) (pow a 2)))))
(* (pow a 6) (- (+ (* 1/36 (pow x 6)) (+ (* 1/3 (/ (pow x 4) (pow a 2))) (/ (pow x 2) (pow a 4)))) (* 1/4 (/ (pow x 4) (pow a 2)))))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/3 (pow a 4)) (* 1/4 (pow a 4)))) (pow a 2)))
(* (pow x 2) (+ (* (pow x 2) (- (+ (* 1/36 (* (pow a 6) (pow x 2))) (* 1/3 (pow a 4))) (* 1/4 (pow a 4)))) (pow a 2)))
(* (pow x 2) (+ (* (pow x 2) (- (+ (* 1/36 (* (pow a 6) (pow x 2))) (* 1/3 (pow a 4))) (* 1/4 (pow a 4)))) (pow a 2)))
(* 1/36 (* (pow a 6) (pow x 6)))
(* (pow x 6) (- (+ (* 1/36 (pow a 6)) (* 1/3 (/ (pow a 4) (pow x 2)))) (* 1/4 (/ (pow a 4) (pow x 2)))))
(* (pow x 6) (- (+ (* 1/36 (pow a 6)) (+ (* 1/3 (/ (pow a 4) (pow x 2))) (/ (pow a 2) (pow x 4)))) (* 1/4 (/ (pow a 4) (pow x 2)))))
(* (pow x 6) (- (+ (* 1/36 (pow a 6)) (+ (* 1/3 (/ (pow a 4) (pow x 2))) (/ (pow a 2) (pow x 4)))) (* 1/4 (/ (pow a 4) (pow x 2)))))
(* 1/36 (* (pow a 6) (pow x 6)))
(* (pow x 6) (- (+ (* 1/36 (pow a 6)) (* 1/3 (/ (pow a 4) (pow x 2)))) (* 1/4 (/ (pow a 4) (pow x 2)))))
(* (pow x 6) (- (+ (* 1/36 (pow a 6)) (+ (* 1/3 (/ (pow a 4) (pow x 2))) (/ (pow a 2) (pow x 4)))) (* 1/4 (/ (pow a 4) (pow x 2)))))
(* (pow x 6) (- (+ (* 1/36 (pow a 6)) (+ (* 1/3 (/ (pow a 4) (pow x 2))) (/ (pow a 2) (pow x 4)))) (* 1/4 (/ (pow a 4) (pow x 2)))))
(* a x)
(* a (+ x (* -1/2 (* a (pow x 2)))))
(* a (+ x (* a (- (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* 1/6 (pow x 3))))
(* (pow a 3) (- (+ (* 1/6 (pow x 3)) (/ x (pow a 2))) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (- (+ (* 1/6 (pow x 3)) (/ x (pow a 2))) (* 1/2 (/ (pow x 2) a))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (- (/ x a) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (- (/ x a) (* 1/2 (pow x 2))) 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) (+ (* -1/2 (/ (pow a 2) x)) (* 1/6 (pow a 3))))
(* (pow x 3) (- (+ (* 1/6 (pow a 3)) (/ a (pow x 2))) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (- (+ (* 1/6 (pow a 3)) (/ a (pow x 2))) (* 1/2 (/ (pow a 2) x))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ a x) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ a x) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 1/4 (* (pow a 4) (pow x 4)))
(* 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)))
(* 1/2 (* (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)))

Outputs
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a (.f64 a a)))) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a (.f64 a a)))) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) x) a) a)
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) x)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))) (/.f64 a (*.f64 x x)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))) (/.f64 a (*.f64 x x)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) x) a) a)
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 (/.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) x) (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (/.f64 a x)) x)) (neg.f64 (.f64 x (.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (/.f64 a x)) x)) (neg.f64 (.f64 x (.f64 x x))))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x))))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x))))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) x) a) a)
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) a)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) a) (/.f64 x (*.f64 a a)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) a) (/.f64 x (*.f64 a a)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) x) a) a)
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) a) (.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64))) (.f64 #s(literal -1 binary64) (.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 x a)) a)) (.f64 #s(literal -1 binary64) (.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 x a)) a)) (.f64 #s(literal -1 binary64) (.f64 a (*.f64 a a))))
x
(* x (+ 1 (* 1/2 (* a x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x)))))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x)))))))
(* 1/6 (* (pow a 2) (pow x 3)))
(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x))) x) a)
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (/.f64 (.f64 a #s(literal 1/2 binary64)) x)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(.f64 (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (/.f64 (.f64 a #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) x)
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(.f64 (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (/.f64 (.f64 a #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) x)
(* 1/6 (* (pow a 2) (pow x 3)))
(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x))) x) a)
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) x) (.f64 (.f64 a a) #s(literal -1/6 binary64)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(.f64 (+.f64 (.f64 (.f64 a a) #s(literal -1/6 binary64)) (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x)) (neg.f64 (.f64 x (.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(.f64 (+.f64 (.f64 (.f64 a a) #s(literal -1/6 binary64)) (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x)) (neg.f64 (.f64 x (.f64 x x))))
x
(+ x (* 1/2 (* a (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x)))))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x)))))))
(* 1/6 (* (pow a 2) (pow x 3)))
(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x))) x) a)
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(.f64 (.f64 a a) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) a)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(.f64 (.f64 a a) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) a) (/.f64 x (.f64 a a)))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(.f64 (.f64 a a) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) a) (/.f64 x (.f64 a a)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x))) x) a)
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(.f64 (.f64 a a) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) a)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(.f64 (.f64 a a) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (/.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 x a)) a)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(.f64 (.f64 a a) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (/.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 x a)) a)))
x
(* x (+ 1 (* 1/6 (* (pow a 2) (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x))) a)))
(* x (+ 1 (* 1/6 (* (pow a 2) (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x))) a)))
(* x (+ 1 (* 1/6 (* (pow a 2) (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x))) a)))
(* 1/6 (* (pow a 2) (pow x 3)))
(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x))) x) a)
(* (pow x 3) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x))) a)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x))) a)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x))) a)))
(* 1/6 (* (pow a 2) (pow x 3)))
(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x x))) x) a)
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#s(literal 1 binary64)
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#s(literal -1 binary64)
(- (* x (+ (* -1/2 a) (* 1/2 a))) 1)
#s(literal -1 binary64)
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(* (pow x 4) (+ (* -1/12 (/ (pow a 3) x)) (+ (* -1/36 (pow a 4)) (* 1/12 (/ (pow a 3) x)))))
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(* -1/36 (* (pow a 4) (pow x 4)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/36 binary64)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/12 (pow a 3)) (* 1/12 (pow a 3))) x)) (* -1/36 (pow a 4))))
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#s(literal -1 binary64)
(- (* a (+ (* -1/2 x) (* 1/2 x))) 1)
#s(literal -1 binary64)
(- (* a (+ (* -1/2 x) (+ (* 1/2 x) (* a (+ (* -1/3 (pow x 2)) (* 1/4 (pow x 2))))))) 1)
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(- (* a (+ (* -1/2 x) (+ (* 1/2 x) (* a (+ (* -1/3 (pow x 2)) (+ (* 1/4 (pow x 2)) (* a (+ (* -1/12 (pow x 3)) (* 1/12 (pow x 3)))))))))) 1)
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(* -1/36 (* (pow a 4) (pow x 4)))
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(* (pow a 4) (+ (* -1/12 (/ (pow x 3) a)) (+ (* -1/36 (pow x 4)) (* 1/12 (/ (pow x 3) a)))))
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(* (pow a 4) (+ (* -1/3 (/ (pow x 2) (pow a 2))) (+ (* -1/12 (/ (pow x 3) a)) (+ (* -1/36 (pow x 4)) (+ (* 1/12 (/ (pow x 3) a)) (* 1/4 (/ (pow x 2) (pow a 2))))))))
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(* -1/36 (* (pow a 4) (pow x 4)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/36 binary64)))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/12 (pow x 3)) (* 1/12 (pow x 3))) a)) (* -1/36 (pow x 4))))
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(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(* a (+ x (* a (- (* a (- (* 1/3 (pow x 3)) (+ (* -1/4 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/4 (pow x 3)))))) (* -1/2 (pow x 2))))))
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(* a (+ x (* a (- (* a (- (+ (* -1 (* a (+ (* -1/2 (* x (- (* 1/3 (pow x 3)) (+ (* -1/4 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/4 (pow x 3))))))) (* 1/12 (pow x 4))))) (* 1/3 (pow x 3))) (+ (* -1/4 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/4 (pow x 3)))))) (* -1/2 (pow x 2))))))
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(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) x) a) a)
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
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(* (pow a 3) (- (+ (* 1/6 (pow x 3)) (* 6 (/ (- (* 1/3 (pow x 4)) (* 1/4 (pow x 4))) (* (pow a 2) (pow x 3))))) (+ (* -3/2 (/ x (pow a 2))) (+ (* -1/2 (/ (pow x 2) a)) (/ x (pow a 2))))))
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(* 1/6 (* (pow a 3) (pow x 3)))
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(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
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(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
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(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) x) a) a)
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
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(* 1/4 (* (pow a 4) (pow x 4)))
(.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* 1/4 (* (pow a 4) (pow x 4)))
(.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* 1/4 (* (pow a 4) (pow x 4)))
(.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) a)
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a))))

eval338.0ms (4.1%)

Compiler: Compiled 125435 to 3686 computations (97.1% saved)

prune179.0ms (2.2%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	2180	5	2185
Fresh	0	0	0
Picked	3	2	5
Done	0	4	4
Total	2183	11	2194

Accuracy

100.0%

Counts

2194 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.9%	(/.f64 (-.f64 (.f64 (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64))) (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64)))) (.f64 (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))) (.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))))) (.f64 (.f64 x a) (-.f64 (+.f64 (.f64 x (.f64 a (.f64 (.f64 x a) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
	68.5%	(/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64)))))
	64.0%	(.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64)) (.f64 x (.f64 a (.f64 x a)))) #s(literal -1 binary64)) x) (+.f64 (.f64 x (.f64 a (.f64 (.f64 x a) #s(literal 1/6 binary64)))) #s(literal -1 binary64))) (.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))))) a)
✓	64.2%	(.f64 (+.f64 (.f64 (+.f64 (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a)) #s(literal 1 binary64)) x) (.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))))) a)
✓	63.5%	(.f64 (+.f64 (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64)))) x) a)
	64.0%	(.f64 (.f64 x (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 (.f64 (.f64 x a) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 a (.f64 x (+.f64 (.f64 (.f64 x a) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal -1 binary64) (-.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 a (.f64 (.f64 x a) #s(literal 1/6 binary64)))))))) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 x (+.f64 (.f64 (.f64 x a) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (-.f64 (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a))))) a)
	64.9%	(.f64 (.f64 x (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 x (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) a))))) a)
✓	64.8%	(.f64 (.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)
✓	64.6%	(.f64 (.f64 a x) (+.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (+.f64 (.f64 a (.f64 x (.f64 (.f64 a x) #s(literal 1/6 binary64)))) #s(literal 1 binary64))))
✓	64.4%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 859 to 278 computations (67.6% saved)

regimes31.0ms (0.4%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

regimes21.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
5.0ms	a
5.0ms	(*.f64 a x)

Results

Accuracy	Segments	Branch
68.5%	1	`a`
68.5%	1	`x`
68.5%	1	`(*.f64 a x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes6.0ms (0.1%)

Accuracy

Total -1.0b remaining (-4.3%)

Threshold costs -1b (-4.3%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.4%	1	`a`
64.4%	1	`x`
64.4%	1	`(*.f64 a x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	17	18

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.3s (16.3%)

Rules

4910×	`-lowering-.f32`
4910×	`-lowering-.f64`
4854×	`-lowering-.f32`
4854×	`-lowering-.f64`
4442×	`fma-define`

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	6	4
1	15	4
2	18	4
0	18	4
0	692	6704
1	2647	5693
0	8766	5693
0	23	153
1	135	131
2	1219	122
0	8293	122
0	27	176
1	177	161
2	1700	159
0	8524	159

Stop Event

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

Compiler

Compiled 84 to 53 computations (36.9% saved)

preprocess36.0ms (0.4%)

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

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

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

analyze67.0ms (0.8%)

sample1.5s (18.7%)

preprocess53.0ms (0.6%)

explain119.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize61.0ms (0.7%)

series3.0ms (0%)

rewrite330.0ms (4%)

simplify240.0ms (2.9%)

eval45.0ms (0.5%)

prune36.0ms (0.4%)

simplify191.0ms (2.3%)

localize232.0ms (2.8%)

series28.0ms (0.3%)

rewrite371.0ms (4.5%)

simplify283.0ms (3.4%)

eval122.0ms (1.5%)

prune79.0ms (1%)

simplify90.0ms (1.1%)

localize134.0ms (1.6%)

series12.0ms (0.2%)

rewrite341.0ms (4.1%)

simplify226.0ms (2.7%)

eval139.0ms (1.7%)

prune83.0ms (1%)

simplify200.0ms (2.4%)

localize302.0ms (3.7%)

series37.0ms (0.5%)

rewrite322.0ms (3.9%)

simplify572.0ms (7%)

eval338.0ms (4.1%)

prune179.0ms (2.2%)

regimes31.0ms (0.4%)

regimes21.0ms (0.3%)

regimes6.0ms (0.1%)

simplify7.0ms (0.1%)

soundness1.3s (16.3%)

preprocess36.0ms (0.4%)

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