Metrics for expax (section 3.5)

analyze27.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	6.3%	0%	0%	0%	6
75.9%	68.7%	21.9%	9.5%	0%	0%	0%	7
80%	68.7%	17.2%	14.1%	0%	0%	0%	8
86%	71.8%	11.7%	16.5%	0%	0%	0%	9
88.9%	71.8%	9%	19.2%	0%	0%	0%	10
92.4%	73.4%	6%	20.6%	0%	0%	0%	11
94.1%	73.4%	4.6%	22%	0%	0%	0%	12

Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions

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

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

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

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

ival-sub: 2.0ms (17.9% of total)

const: 0.0ms (0% of total)

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

sample1.3s (16.2%)

Results

828.0ms	5383×	1	valid
189.0ms	2873×	0	valid
16.0ms	323×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 663.0ms

ival-exp: 271.0ms (40.9% of total)

ival-mult: 134.0ms (20.2% of total)

ival-sub: 88.0ms (13.3% of total)

backward-pass: 82.0ms (12.4% of total)

ival->: 73.0ms (11% of total)

const: 16.0ms (2.4% of total)

Bogosity

preprocess23.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(sort a x)

explain116.0ms (1.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
140	-	1	(-6.039272330038981e+292 -2.111434640272698e-295)	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 a x)`
0	-	0	-	`(exp.f64 (*.f64 a x))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`a`

Results

80.0ms	352×	1	valid
9.0ms	160×	0	valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-exp: 18.0ms (43.1% of total)

ival-mult: 14.0ms (33.5% of total)

ival-sub: 5.0ms (12% of total)

backward-pass: 5.0ms (12% of total)

const: 1.0ms (2.4% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize47.0ms (0.6%)

Localize:

Found 2 expressions of interest:

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

Results

35.0ms	176×	5	exit
4.0ms	80×	0	valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

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

backward-pass: 6.0ms (31.1% of total)

compiled-spec: 6.0ms (31.1% of total)

ival-sub: 3.0ms (15.6% of total)

ival-exp: 2.0ms (10.4% of total)

ival-mult: 2.0ms (10.4% 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)

rewrite297.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 238

Calls

Call 1

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

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

simplify235.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 13 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval39.0ms (0.5%)

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

prune31.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	283	3	286
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	283	4	287

Accuracy

100.0%

Counts

287 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.7%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
▶	69.7%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
▶	70.3%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 43 to 28 computations (34.9% saved)

simplify88.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

3054×	`fma-define`
1276×	`fma-lowering-fma.f32`
1276×	`fma-lowering-fma.f64`
986×	`-lowering-.f32`
986×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	102
1	53	94
2	204	94
3	690	94
4	1523	94
5	2050	94
6	2236	94
7	2491	94
8	2820	94
9	2864	94
10	2866	94
11	2866	94
12	2966	94
13	2966	94
14	3132	94
15	3262	94
0	3262	94

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize92.0ms (1.1%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
✓	accuracy	99.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))
✓	accuracy	99.7%	(.f64 a (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(*.f64 a x)

Results

69.0ms

256×

valid

Compiler

Compiled 105 to 17 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 14.0ms (62.2% of total)

...c/correct-round.rkt:119:19: 5.0ms (22.2% of total)

ival-add: 4.0ms (17.8% of total)

const: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Counts

10 → 216

Calls

Call 1

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

Calls

54 calls:

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

rewrite248.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

5626×	`-lowering-.f32`
5626×	`-lowering-.f64`
2014×	`/-lowering-/.f32`
2014×	`/-lowering-/.f64`
1714×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	78
1	90	71
2	829	71
0	9053	71

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 335

Calls

Call 1

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

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

simplify200.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

4562×	`-lowering-.f32`
4562×	`-lowering-.f64`
1844×	`fma-lowering-fma.f32`
1844×	`fma-lowering-fma.f64`
1722×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	1718
1	479	1658
2	1685	1612
3	4785	1552
0	8444	1552

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval85.0ms (1.1%)

Compiler: Compiled 15511 to 1099 computations (92.9% saved)

prune51.0ms (0.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	629	6	635
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	629	10	639

Accuracy

100.0%

Counts

639 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.7%	(/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal 1/2 binary64))))))
	34.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 (.f64 (.f64 a x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))) (.f64 (.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)))))))) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 (.f64 (*.f64 a x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))))))
▶	70.7%	(+.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (*.f64 a x))
▶	69.7%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)
▶	70.7%	(.f64 (.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)
▶	69.7%	(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))))
✓	70.7%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
✓	69.7%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
✓	70.3%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 327 to 182 computations (44.3% saved)

simplify100.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

2630×	`fma-define`
1276×	`fma-lowering-fma.f32`
1276×	`fma-lowering-fma.f64`
990×	`-lowering-.f32`
990×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	274
1	77	249
2	274	249
3	984	249
4	1805	249
5	2343	249
6	2844	249
7	3053	249
8	3120	249
9	3441	249
10	3486	249
11	3486	249
12	3630	249
13	3630	249
14	3680	249
0	3680	249

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize134.0ms (1.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))
✓	accuracy	99.7%	(.f64 a (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	97.8%	(.f64 (.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)
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal 1/2 binary64))))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal 1/2 binary64)))) a)
✓	accuracy	98.1%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)
✓	accuracy	99.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 a x) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))
✓	accuracy	99.7%	(.f64 a (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/6 binary64))

Results

76.0ms

256×

valid

Compiler

Compiled 289 to 25 computations (91.3% saved)

Precisions

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

ival-mult: 20.0ms (57.9% of total)

ival-div: 5.0ms (14.5% of total)

ival-add: 5.0ms (14.5% of total)

...c/correct-round.rkt:119:19: 4.0ms (11.6% of total)

const: 1.0ms (2.9% of total)

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

series15.0ms (0.2%)

Counts

18 → 408

Calls

Call 1

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

102 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* x 1/6)
1.0ms	a	@	inf	(/ 1 (+ 1 (* a (* x 1/2))))
0.0ms	x	@	inf	(/ 1 (+ 1 (* a (* x 1/2))))
0.0ms	a	@	0	(+ (* (* a x) (* (* a x) (+ 1/2 (* a (* x 1/6))))) (* a x))
0.0ms	a	@	-inf	(* (+ 1 (* a (* x 1/2))) a)

rewrite424.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4064×	`-lowering-.f32`
4064×	`-lowering-.f64`
2952×	`/-lowering-/.f32`
2952×	`/-lowering-/.f64`
2368×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	173
1	143	152
2	1212	152
0	8182	152

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1365

Calls

Call 1

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

Outputs
(+.f64 (.f64 a x) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
(+.f64 (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) (*.f64 a x))
(-.f64 (.f64 (/.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 x (.f64 a x)))) a) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) x))) (.f64 (/.f64 a a) (/.f64 (.f64 x (.f64 a x)) (-.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) x))))
(-.f64 (/.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 (.f64 a x) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))) (/.f64 (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a (.f64 x (.f64 a x))))) (-.f64 (.f64 a x) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))))
(fma.f64 a x (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))
(fma.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 a x))
(fma.f64 a (/.f64 x #s(literal 1 binary64)) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))
(fma.f64 x a (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))
(fma.f64 x (/.f64 a #s(literal 1 binary64)) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))
(fma.f64 x (.f64 a #s(literal 1 binary64)) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
(fma.f64 x (.f64 a (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 a x))
(fma.f64 (.f64 a x) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a x))
(fma.f64 (.f64 a x) #s(literal 1 binary64) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 a (.f64 x (.f64 a x))) (.f64 a x))
(fma.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a x) (.f64 a x))
(fma.f64 #s(literal 1 binary64) (.f64 a x) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
(fma.f64 (.f64 a (.f64 x (.f64 a x))) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 a x))
(fma.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) a (.f64 a x))
(fma.f64 (.f64 (.f64 a x) a) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a x))
(fma.f64 (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) a) x (.f64 a x))
(/.f64 (.f64 a x) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))))))))
(/.f64 (.f64 a x) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))))
(/.f64 (.f64 a x) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))) #s(literal 1 binary64)))
(/.f64 (.f64 a x) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a (.f64 x (.f64 a x))))) (.f64 (.f64 a x) (-.f64 (.f64 a x) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))))) (+.f64 (.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 x (.f64 a x))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (-.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) x)) (.f64 (.f64 a (.f64 x (+.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))) (.f64 a (-.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))) x)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a (.f64 x (.f64 a x))))) (.f64 (.f64 a x) (-.f64 (.f64 a x) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))))) (+.f64 (.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 x (.f64 a x))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 a (-.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) x)) (.f64 (.f64 a (.f64 x (+.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))) (.f64 a (-.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))) x))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 x (.f64 a x))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))))) (+.f64 (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a (.f64 x (.f64 a x))))) (.f64 (.f64 a x) (-.f64 (.f64 a x) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 x (.f64 a x))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))))) (+.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a (.f64 x (.f64 a x))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a (.f64 x (*.f64 a x)))))))
(/.f64 (.f64 (.f64 a (.f64 x (+.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))) (.f64 a (-.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) x))) (.f64 a (-.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))) x)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 x (.f64 a x))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a (.f64 x (.f64 a x))))) (.f64 (.f64 a x) (-.f64 (.f64 a x) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 x (.f64 a x))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))))) (neg.f64 (+.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a (.f64 x (.f64 a x))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a (.f64 x (*.f64 a x))))))))
(/.f64 (neg.f64 (.f64 (.f64 a (.f64 x (+.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))) (.f64 a (-.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) x)))) (neg.f64 (.f64 a (-.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))) x))))
(/.f64 (-.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a (.f64 x (.f64 a x)))))) (-.f64 (.f64 a x) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))))))
(/.f64 (+.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))) (.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/216 binary64)))))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))))
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))) (/.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))))) (/.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/4 binary64)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/4 binary64)) (-.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))
(fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) a) (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 a #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (-.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x)))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (-.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x)))) #s(literal 1/8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (-.f64 (.f64 x (*.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/8 binary64))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (-.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/8 binary64))) (+.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/4 binary64))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (-.f64 (.f64 x (*.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/8 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (-.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))))))
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(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (-.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
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(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/4 binary64)) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/8 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (-.f64 (.f64 x (*.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)))))))
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(pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))) #s(literal 1 binary64))
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(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (-.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x)))) #s(literal 1/8 binary64)))) #s(literal -1 binary64))
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(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64)))))
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(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64))))))
(.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
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(fma.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 a x))
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(fma.f64 x a (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))
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(fma.f64 (.f64 a x) #s(literal 1 binary64) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))))
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(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/8 binary64)) (pow.f64 (+.f64 (.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/4 binary64)) (-.f64 (.f64 (+.f64 (.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (+.f64 (.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (+.f64 (.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 x (.f64 a x))))) #s(literal 1/216 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))) (.f64 a (.f64 x (.f64 a (*.f64 x #s(literal 1/6 binary64)))))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(.f64 x (.f64 #s(literal 1/6 binary64) a))
(.f64 (.f64 a x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 a x))
(.f64 (.f64 x #s(literal 1/6 binary64)) a)
(.f64 (.f64 a #s(literal 1/6 binary64)) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)

simplify292.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

5494×	`-lowering-.f32`
5494×	`-lowering-.f64`
2180×	`/-lowering-/.f32`
2180×	`/-lowering-/.f64`
1992×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	3924
1	1111	3750
2	3567	3642
0	8834	3642

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

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

eval607.0ms (7.6%)

Compiler: Compiled 69063 to 3664 computations (94.7% saved)

prune224.0ms (2.8%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	2500	2	2502
Fresh	0	1	1
Picked	3	2	5
Done	1	3	4
Total	2504	8	2512

Accuracy

100.0%

Counts

2512 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.3%	(/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64)))))
▶	34.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 (.f64 (.f64 a x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))) (.f64 (.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)))))))) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 (.f64 (*.f64 a x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))))))
✓	70.7%	(+.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (*.f64 a x))
✓	70.7%	(.f64 (.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)
▶	73.3%	(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))
✓	70.7%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
✓	70.3%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 155 to 85 computations (45.2% saved)

simplify259.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 a (.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64)))))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 (.f64 (.f64 a x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))))
✓	cost-diff	2176	(/.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 (.f64 (.f64 a x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))) (.f64 (.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)))))))) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 (.f64 (*.f64 a x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))))))
✓	cost-diff	2432	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 (.f64 (.f64 a x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))) (.f64 (.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)))))))) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 (.f64 (*.f64 a x) #s(literal -1/6 binary64)) #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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64)))))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	128	(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))

Rules

3842×	`-lowering-.f32`
3842×	`-lowering-.f64`
3782×	`+-lowering-+.f64`
3782×	`+-lowering-+.f32`
1836×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	378
1	105	348
2	539	251
3	4749	251
4	6113	251
0	8415	251

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize165.0ms (2.1%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 a (.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	90.7%	(/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64)))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 (.f64 (.f64 a x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))) (.f64 (.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)))))))) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 (.f64 (*.f64 a x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))))))
✓	accuracy	97.8%	(.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))))))))
✓	accuracy	40.6%	(/.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 (.f64 (.f64 a x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))) (.f64 (.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)))))))) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 (.f64 (*.f64 a x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))))))
✓	accuracy	100.0%	(.f64 a (.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64)))))
✓	accuracy	90.6%	(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))

Results

113.0ms

256×

valid

Compiler

Compiled 357 to 30 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 22.0ms (43.1% of total)

ival-div: 12.0ms (23.5% of total)

ival-add: 9.0ms (17.6% of total)

...c/correct-round.rkt:119:19: 7.0ms (13.7% of total)

const: 1.0ms (2% of total)

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

series22.0ms (0.3%)

Counts

12 → 264

Calls

Call 1

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

Outputs
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (- (* 1/4 (* a (pow x 3))) (* -1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (- (* a (- (* 1/8 (* a (pow x 4))) (* -1/4 (pow x 3)))) (* -1/2 (pow x 2))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 4 (/ 1 (* a x)))))>
#<alt (- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)>
#<alt (- (* -1 (/ (+ (* 8 (/ 1 (pow x 2))) (* 16 (/ 1 (* a (pow x 3))))) (pow a 2))) (+ 2 (/ 4 (* a x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 4 (/ 1 (* a x)))))>
#<alt (- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)>
#<alt (- (* -1 (/ (+ (* 4 (/ 1 x)) (+ (/ 8 (* a (pow x 2))) (/ 16 (* (pow a 2) (pow x 3))))) a)) 2)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (- (* 1/4 (* (pow a 3) x)) (* -1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (- (* x (- (* 1/8 (* (pow a 4) x)) (* -1/4 (pow a 3)))) (* -1/2 (pow a 2))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 4 (/ 1 (* a x)))))>
#<alt (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)>
#<alt (- (* -1 (/ (+ (* 8 (/ 1 (pow a 2))) (* 16 (/ 1 (* (pow a 3) x)))) (pow x 2))) (+ 2 (/ 4 (* a x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 4 (/ 1 (* a x)))))>
#<alt (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)>
#<alt (- (* -1 (/ (+ (* 4 (/ 1 a)) (+ (/ 8 (* (pow a 2) x)) (/ 16 (* (pow a 3) (pow x 2))))) x)) 2)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* a (- (* 1/4 (* a (pow x 2))) (* -1/2 x))))>
#<alt (+ 1 (* a (- (* a (- (* 1/8 (* a (pow x 3))) (* -1/4 (pow x 2)))) (* -1/2 x))))>
#<alt (/ -2 (* a x))>
#<alt (* -1 (/ (+ (* 2 (/ 1 x)) (* 4 (/ 1 (* a (pow x 2))))) a))>
#<alt (/ (- (* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* a (pow x 3))))) a)) (* 2 (/ 1 x))) a)>
#<alt (/ (- (* -1 (/ (+ (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* a (pow x 4))))) (pow a 2))) (+ (* 2 (/ 1 x)) (/ 4 (* a (pow x 2))))) a)>
#<alt (/ -2 (* a x))>
#<alt (* -1 (/ (+ (* 2 (/ 1 x)) (* 4 (/ 1 (* a (pow x 2))))) a))>
#<alt (* -1 (/ (+ (* 2 (/ 1 x)) (+ (/ 4 (* a (pow x 2))) (/ 8 (* (pow a 2) (pow x 3))))) a))>
#<alt (* -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))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* x (- (* 1/4 (* (pow a 2) x)) (* -1/2 a))))>
#<alt (+ 1 (* x (- (* x (- (* 1/8 (* (pow a 3) x)) (* -1/4 (pow a 2)))) (* -1/2 a))))>
#<alt (/ -2 (* a x))>
#<alt (* -1 (/ (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) x)))) x))>
#<alt (/ (- (* -1 (/ (+ (* 4 (/ 1 (pow a 2))) (* 8 (/ 1 (* (pow a 3) x)))) x)) (* 2 (/ 1 a))) x)>
#<alt (/ (- (* -1 (/ (+ (* 8 (/ 1 (pow a 3))) (* 16 (/ 1 (* (pow a 4) x)))) (pow x 2))) (+ (* 2 (/ 1 a)) (/ 4 (* (pow a 2) x)))) x)>
#<alt (/ -2 (* a x))>
#<alt (* -1 (/ (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) x)))) x))>
#<alt (* -1 (/ (+ (* 2 (/ 1 a)) (+ (/ 4 (* (pow a 2) x)) (/ 8 (* (pow a 3) (pow x 2))))) x))>
#<alt (* -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))>
#<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 (* 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 (* a x))>
#<alt (/ (+ (* -1/2 a) (/ 1 x)) a)>
#<alt (/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)>
#<alt (/ (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (* -1/12 (pow x 2))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)>
#<alt (/ 6 (* (pow a 3) (pow x 3)))>
#<alt (/ (- (* 6 (/ 1 (pow x 3))) (* 18 (/ 1 (* a (pow x 4))))) (pow a 3))>
#<alt (/ (- (+ (* 6 (/ 1 (pow x 3))) (/ 18 (* (pow a 2) (pow x 5)))) (/ 18 (* a (pow x 4)))) (pow a 3))>
#<alt (/ (- (+ (* 18 (/ 1 (* (pow a 2) (pow x 5)))) (+ (* 54 (/ 1 (* (pow a 3) (pow x 6)))) (* 6 (/ 1 (pow x 3))))) (/ 18 (* a (pow x 4)))) (pow a 3))>
#<alt (/ 6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (/ (- (* 18 (/ 1 (* a (pow x 4)))) (* 6 (/ 1 (pow x 3)))) (pow a 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 (* a (pow x 5)))) (* 18 (/ 1 (pow x 4)))) a)) (* 6 (/ 1 (pow x 3)))) (pow a 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (/ 18 (* a (pow x 5))) (/ 54 (* (pow a 2) (pow x 6)))) (* 18 (/ 1 (pow x 4)))) a)) (* 6 (/ 1 (pow x 3)))) (pow a 3)))>
#<alt (/ 1 (* a x))>
#<alt (/ (+ (* -1/2 x) (/ 1 a)) x)>
#<alt (/ (+ (* x (- (* -1 (* x (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)>
#<alt (/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 a) (* 1/6 a)))) (* -1/12 (pow a 2))))) (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)>
#<alt (/ 6 (* (pow a 3) (pow x 3)))>
#<alt (/ (- (* 6 (/ 1 (pow a 3))) (* 18 (/ 1 (* (pow a 4) x)))) (pow x 3))>
#<alt (/ (- (+ (* 6 (/ 1 (pow a 3))) (/ 18 (* (pow a 5) (pow x 2)))) (/ 18 (* (pow a 4) x))) (pow x 3))>
#<alt (/ (- (+ (* 18 (/ 1 (* (pow a 5) (pow x 2)))) (+ (* 54 (/ 1 (* (pow a 6) (pow x 3)))) (* 6 (/ 1 (pow a 3))))) (/ 18 (* (pow a 4) x))) (pow x 3))>
#<alt (/ 6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (/ (- (* 18 (/ 1 (* (pow a 4) x))) (* 6 (/ 1 (pow a 3)))) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 (* (pow a 5) x))) (* 18 (/ 1 (pow a 4)))) x)) (* 6 (/ 1 (pow a 3)))) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (/ 18 (* (pow a 5) x)) (/ 54 (* (pow a 6) (pow x 2)))) (* 18 (/ 1 (pow a 4)))) x)) (* 6 (/ 1 (pow a 3)))) (pow x 3)))>
#<alt (* a x)>
#<alt (* a (+ x (* -1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* -1/2 (pow x 2)) (* -1/6 (* a (pow x 3)))))))>
#<alt (* a (+ x (* a (+ (* -1/2 (pow x 2)) (* -1/6 (* a (pow x 3)))))))>
#<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) (+ (* -1/2 (/ (pow x 2) a)) (+ (* -1/6 (pow x 3)) (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (+ (* -1/6 (pow x 3)) (/ x (pow a 2)))))>
#<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 (/ (+ (* -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 (+ (* -1/2 (pow a 2)) (* -1/6 (* (pow a 3) x))))))>
#<alt (* x (+ a (* x (+ (* -1/2 (pow a 2)) (* -1/6 (* (pow a 3) x))))))>
#<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) (+ (* -1/2 (/ (pow a 2) x)) (+ (* -1/6 (pow a 3)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (+ (* -1/6 (pow a 3)) (/ a (pow x 2)))))>
#<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 (/ (+ (* -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 (- (* 1/4 (* a (pow x 3))) (* -1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (- (* a (- (* 1/8 (* a (pow x 4))) (* -1/4 (pow x 3)))) (* -1/2 (pow x 2))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 4 (/ 1 (* a x)))))>
#<alt (- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)>
#<alt (- (* -1 (/ (+ (* 8 (/ 1 (pow x 2))) (* 16 (/ 1 (* a (pow x 3))))) (pow a 2))) (+ 2 (/ 4 (* a x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 4 (/ 1 (* a x)))))>
#<alt (- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)>
#<alt (- (* -1 (/ (+ (* 4 (/ 1 x)) (+ (/ 8 (* a (pow x 2))) (/ 16 (* (pow a 2) (pow x 3))))) a)) 2)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (- (* 1/4 (* (pow a 3) x)) (* -1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (- (* x (- (* 1/8 (* (pow a 4) x)) (* -1/4 (pow a 3)))) (* -1/2 (pow a 2))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 4 (/ 1 (* a x)))))>
#<alt (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)>
#<alt (- (* -1 (/ (+ (* 8 (/ 1 (pow a 2))) (* 16 (/ 1 (* (pow a 3) x)))) (pow x 2))) (+ 2 (/ 4 (* a x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 4 (/ 1 (* a x)))))>
#<alt (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)>
#<alt (- (* -1 (/ (+ (* 4 (/ 1 a)) (+ (/ 8 (* (pow a 2) x)) (/ 16 (* (pow a 3) (pow x 2))))) x)) 2)>
#<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 (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* -1/2 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

66 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(* a (* x -1/2))
3.0ms	a	@	-inf	(/ (* (* a x) (+ 1 (* (* a x) (+ (* (* a x) -1/6) -1/2)))) (* (* a (* x (+ 1 (* (* a x) (+ 1/2 (* a (* x 1/6))))))) (* (* a x) (+ 1 (* (* a x) (+ (* (* a x) -1/6) -1/2))))))
1.0ms	a	@	inf	(/ 1 (/ (* (* a x) (+ 1 (* (* a x) (+ (* (* a x) -1/6) -1/2)))) (* (* a (* x (+ 1 (* (* a x) (+ 1/2 (* a (* x 1/6))))))) (* (* a x) (+ 1 (* (* a x) (+ (* (* a x) -1/6) -1/2)))))))
1.0ms	a	@	0	(* (* a x) (+ 1 (* (* a x) (+ (* (* a x) -1/6) -1/2))))
1.0ms	x	@	-inf	(* (* a x) (+ 1 (* (* a x) (+ (* (* a x) -1/6) -1/2))))

rewrite372.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3162×	`-lowering-.f32`
3162×	`-lowering-.f64`
2468×	`fma-lowering-fma.f32`
2468×	`fma-lowering-fma.f64`
2412×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	187
1	190	171
2	1860	112
0	8419	112

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 427

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64))) x) a)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))) (/.f64 (.f64 a x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64))))))
(neg.f64 (/.f64 (.f64 a x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))))
(/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) x) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) x) a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) x) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) x) a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) x) a) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 a x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 a x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64))))))
(/.f64 (.f64 (.f64 a x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 a x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 a x) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) x) a) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) x) a) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 a (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))))
(.f64 x (.f64 a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))))
(.f64 x (/.f64 a (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))))
(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))) (.f64 a x))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 a x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))) a)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))) a) x)
(.f64 (/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) (-.f64 (.f64 (*.f64 a x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 a x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))
(*.f64 a x)
(*.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) a) x)
(exp.f64 (.f64 (log1p.f64 (.f64 (*.f64 a x) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x))))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(exp.f64 (neg.f64 (.f64 (log1p.f64 (.f64 (*.f64 a x) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x))) (-.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 a (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(fma.f64 x (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 a x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) a) (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) x #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) a #s(literal 1 binary64))
(fma.f64 (*.f64 a #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a x) (.f64 (.f64 a x) (*.f64 a x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))))
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(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64))) x) a)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))) (/.f64 (.f64 a x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64))))))
(neg.f64 (/.f64 (.f64 a x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))))
(/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) x) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) x) a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) x) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) x) a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) x) a) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 a x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 a x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64))))))
(/.f64 (.f64 (.f64 a x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 a x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 a x) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) x) a) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))) x) a) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 a (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))))
(.f64 x (.f64 a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))))
(.f64 x (/.f64 a (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))))
(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))) (.f64 a x))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 a x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))) a)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))) a) x)
(.f64 (/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) (-.f64 (.f64 (*.f64 a x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 a x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))
(.f64 a (.f64 x #s(literal -1/2 binary64)))
(.f64 x (.f64 #s(literal -1/2 binary64) a))
(.f64 x (.f64 a #s(literal -1/2 binary64)))
(.f64 (.f64 a x) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 a x))
(.f64 (.f64 x #s(literal -1/2 binary64)) a)
(.f64 (.f64 (*.f64 a x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) a) (*.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) a) x)
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) a)
(.f64 (.f64 a #s(literal -1/2 binary64)) x)
(+.f64 (.f64 a x) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
(+.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
(+.f64 (.f64 a x) (.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))) a))
(+.f64 (.f64 a x) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (*.f64 a x)))
(+.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) (*.f64 a x))
(+.f64 (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 a x)) (*.f64 a x))
(fma.f64 a x (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))
(fma.f64 a x (.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))
(fma.f64 a x (.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) a))
(fma.f64 a x (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 a x)))
(fma.f64 x a (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))
(fma.f64 x a (.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))
(fma.f64 x a (.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) a))
(fma.f64 x a (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 a x)))
(fma.f64 x (.f64 a #s(literal 1 binary64)) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
(fma.f64 x (.f64 a #s(literal 1 binary64)) (.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
(fma.f64 x (.f64 a #s(literal 1 binary64)) (.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))) a))
(fma.f64 x (.f64 a #s(literal 1 binary64)) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (*.f64 a x)))
(fma.f64 (.f64 a x) #s(literal 1 binary64) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
(fma.f64 (.f64 a x) #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
(fma.f64 (.f64 a x) #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))) a))
(fma.f64 (.f64 a x) #s(literal 1 binary64) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (*.f64 a x)))
(fma.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 a x))
(fma.f64 #s(literal 1 binary64) (.f64 a x) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
(fma.f64 #s(literal 1 binary64) (.f64 a x) (.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
(fma.f64 #s(literal 1 binary64) (.f64 a x) (.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))) a))
(fma.f64 #s(literal 1 binary64) (.f64 a x) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (*.f64 a x)))
(fma.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 a x) (.f64 a x))
(fma.f64 (.f64 #s(literal 1 binary64) a) x (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
(fma.f64 (.f64 #s(literal 1 binary64) a) x (.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
(fma.f64 (.f64 #s(literal 1 binary64) a) x (.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))) a))
(fma.f64 (.f64 #s(literal 1 binary64) a) x (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (*.f64 a x)))
(/.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 a (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (-.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 a x) (-.f64 #s(literal 1 binary64) (.f64 a (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (neg.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 a (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (-.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 a x) (-.f64 #s(literal 1 binary64) (.f64 a (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))))))
(/.f64 (+.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x))) (pow.f64 (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 a x) (.f64 a x)) (-.f64 (.f64 (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))) (.f64 (.f64 a x) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))))))))
(/.f64 (+.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x))) (pow.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 a x) (.f64 a x)) (-.f64 (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) (.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))))))))
(/.f64 (+.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x))) (pow.f64 (.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) a) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 a x) (.f64 a x)) (-.f64 (.f64 (.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) a) (.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) a)) (.f64 (.f64 a x) (.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))) a)))))
(/.f64 (+.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x))) (pow.f64 (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 a x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 a x) (.f64 a x)) (-.f64 (.f64 (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 a x)) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 a x))) (.f64 (.f64 a x) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (*.f64 a x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) #s(literal 3 binary64)) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))) (+.f64 (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) (.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))) (-.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) (*.f64 a x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 a x)) #s(literal 3 binary64)) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))) (+.f64 (.f64 (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 a x)) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 a x))) (-.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 a x)) (*.f64 a x)))))
(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))))
(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))))
(.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) a))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) (.f64 a x))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))) a)
(.f64 (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)

simplify273.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

4846×	`-lowering-.f32`
4846×	`-lowering-.f64`
1580×	`+-lowering-+.f64`
1580×	`+-lowering-+.f32`
1376×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	466	3020
1	1618	2918
2	5220	2874
0	8239	2874

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (- (* 1/4 (* a (pow x 3))) (* -1/2 (pow x 2))))))
(* a (+ x (* a (- (* a (- (* 1/8 (* a (pow x 4))) (* -1/4 (pow x 3)))) (* -1/2 (pow x 2))))))
-2
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)
(- (* -1 (/ (+ (* 8 (/ 1 (pow x 2))) (* 16 (/ 1 (* a (pow x 3))))) (pow a 2))) (+ 2 (/ 4 (* a x))))
-2
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)
(- (* -1 (/ (+ (* 4 (/ 1 x)) (+ (/ 8 (* a (pow x 2))) (/ 16 (* (pow a 2) (pow x 3))))) a)) 2)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (- (* 1/4 (* (pow a 3) x)) (* -1/2 (pow a 2))))))
(* x (+ a (* x (- (* x (- (* 1/8 (* (pow a 4) x)) (* -1/4 (pow a 3)))) (* -1/2 (pow a 2))))))
-2
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)
(- (* -1 (/ (+ (* 8 (/ 1 (pow a 2))) (* 16 (/ 1 (* (pow a 3) x)))) (pow x 2))) (+ 2 (/ 4 (* a x))))
-2
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)
(- (* -1 (/ (+ (* 4 (/ 1 a)) (+ (/ 8 (* (pow a 2) x)) (/ 16 (* (pow a 3) (pow x 2))))) x)) 2)
(* a x)
(* a x)
(* 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))
(* -1 (/ (+ (* 2 (/ 1 x)) (* 4 (/ 1 (* a (pow x 2))))) a))
(/ (- (* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* a (pow x 3))))) a)) (* 2 (/ 1 x))) a)
(/ (- (* -1 (/ (+ (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* a (pow x 4))))) (pow a 2))) (+ (* 2 (/ 1 x)) (/ 4 (* a (pow x 2))))) a)
(/ -2 (* a x))
(* -1 (/ (+ (* 2 (/ 1 x)) (* 4 (/ 1 (* a (pow x 2))))) a))
(* -1 (/ (+ (* 2 (/ 1 x)) (+ (/ 4 (* a (pow x 2))) (/ 8 (* (pow a 2) (pow x 3))))) 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))
(* -1 (/ (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) x)))) x))
(/ (- (* -1 (/ (+ (* 4 (/ 1 (pow a 2))) (* 8 (/ 1 (* (pow a 3) x)))) x)) (* 2 (/ 1 a))) x)
(/ (- (* -1 (/ (+ (* 8 (/ 1 (pow a 3))) (* 16 (/ 1 (* (pow a 4) x)))) (pow x 2))) (+ (* 2 (/ 1 a)) (/ 4 (* (pow a 2) x)))) x)
(/ -2 (* a x))
(* -1 (/ (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) x)))) x))
(* -1 (/ (+ (* 2 (/ 1 a)) (+ (/ 4 (* (pow a 2) x)) (/ 8 (* (pow a 3) (pow x 2))))) 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)
(* 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 (* a x))
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (* -1/12 (pow x 2))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/ 6 (* (pow a 3) (pow x 3)))
(/ (- (* 6 (/ 1 (pow x 3))) (* 18 (/ 1 (* a (pow x 4))))) (pow a 3))
(/ (- (+ (* 6 (/ 1 (pow x 3))) (/ 18 (* (pow a 2) (pow x 5)))) (/ 18 (* a (pow x 4)))) (pow a 3))
(/ (- (+ (* 18 (/ 1 (* (pow a 2) (pow x 5)))) (+ (* 54 (/ 1 (* (pow a 3) (pow x 6)))) (* 6 (/ 1 (pow x 3))))) (/ 18 (* a (pow x 4)))) (pow a 3))
(/ 6 (* (pow a 3) (pow x 3)))
(* -1 (/ (- (* 18 (/ 1 (* a (pow x 4)))) (* 6 (/ 1 (pow x 3)))) (pow a 3)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 (* a (pow x 5)))) (* 18 (/ 1 (pow x 4)))) a)) (* 6 (/ 1 (pow x 3)))) (pow a 3)))
(* -1 (/ (- (* -1 (/ (- (+ (/ 18 (* a (pow x 5))) (/ 54 (* (pow a 2) (pow x 6)))) (* 18 (/ 1 (pow x 4)))) a)) (* 6 (/ 1 (pow x 3)))) (pow a 3)))
(/ 1 (* a x))
(/ (+ (* -1/2 x) (/ 1 a)) x)
(/ (+ (* x (- (* -1 (* x (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 a) (* 1/6 a)))) (* -1/12 (pow a 2))))) (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(/ 6 (* (pow a 3) (pow x 3)))
(/ (- (* 6 (/ 1 (pow a 3))) (* 18 (/ 1 (* (pow a 4) x)))) (pow x 3))
(/ (- (+ (* 6 (/ 1 (pow a 3))) (/ 18 (* (pow a 5) (pow x 2)))) (/ 18 (* (pow a 4) x))) (pow x 3))
(/ (- (+ (* 18 (/ 1 (* (pow a 5) (pow x 2)))) (+ (* 54 (/ 1 (* (pow a 6) (pow x 3)))) (* 6 (/ 1 (pow a 3))))) (/ 18 (* (pow a 4) x))) (pow x 3))
(/ 6 (* (pow a 3) (pow x 3)))
(* -1 (/ (- (* 18 (/ 1 (* (pow a 4) x))) (* 6 (/ 1 (pow a 3)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 (* (pow a 5) x))) (* 18 (/ 1 (pow a 4)))) x)) (* 6 (/ 1 (pow a 3)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (+ (/ 18 (* (pow a 5) x)) (/ 54 (* (pow a 6) (pow x 2)))) (* 18 (/ 1 (pow a 4)))) x)) (* 6 (/ 1 (pow a 3)))) (pow x 3)))
(* a x)
(* a (+ x (* -1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* -1/2 (pow x 2)) (* -1/6 (* a (pow x 3)))))))
(* a (+ x (* a (+ (* -1/2 (pow x 2)) (* -1/6 (* a (pow x 3)))))))
(* -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) (+ (* -1/2 (/ (pow x 2) a)) (+ (* -1/6 (pow x 3)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (+ (* -1/6 (pow x 3)) (/ x (pow a 2)))))
(* -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 (/ (+ (* -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 (+ (* -1/2 (pow a 2)) (* -1/6 (* (pow a 3) x))))))
(* x (+ a (* x (+ (* -1/2 (pow a 2)) (* -1/6 (* (pow a 3) x))))))
(* -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) (+ (* -1/2 (/ (pow a 2) x)) (+ (* -1/6 (pow a 3)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (+ (* -1/6 (pow a 3)) (/ a (pow x 2)))))
(* -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 (/ (+ (* -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 (- (* 1/4 (* a (pow x 3))) (* -1/2 (pow x 2))))))
(* a (+ x (* a (- (* a (- (* 1/8 (* a (pow x 4))) (* -1/4 (pow x 3)))) (* -1/2 (pow x 2))))))
-2
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)
(- (* -1 (/ (+ (* 8 (/ 1 (pow x 2))) (* 16 (/ 1 (* a (pow x 3))))) (pow a 2))) (+ 2 (/ 4 (* a x))))
-2
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)
(- (* -1 (/ (+ (* 4 (/ 1 x)) (+ (/ 8 (* a (pow x 2))) (/ 16 (* (pow a 2) (pow x 3))))) a)) 2)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (- (* 1/4 (* (pow a 3) x)) (* -1/2 (pow a 2))))))
(* x (+ a (* x (- (* x (- (* 1/8 (* (pow a 4) x)) (* -1/4 (pow a 3)))) (* -1/2 (pow a 2))))))
-2
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)
(- (* -1 (/ (+ (* 8 (/ 1 (pow a 2))) (* 16 (/ 1 (* (pow a 3) x)))) (pow x 2))) (+ 2 (/ 4 (* a x))))
-2
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)
(- (* -1 (/ (+ (* 4 (/ 1 a)) (+ (/ 8 (* (pow a 2) x)) (/ 16 (* (pow a 3) (pow x 2))))) x)) 2)
(* -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)))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* -1/2 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 a (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* a (+ x (* a (- (* 1/4 (* a (pow x 3))) (* -1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 x (.f64 x x)))) (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(* a (+ x (* a (- (* a (- (* 1/8 (* a (pow x 4))) (* -1/4 (pow x 3)))) (* -1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 a (.f64 (.f64 x (.f64 x x)) x))) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 8 binary64) (.f64 a (.f64 x x)))) a))
(- (* -1 (/ (+ (* 8 (/ 1 (pow x 2))) (* 16 (/ 1 (* a (pow x 3))))) (pow a 2))) (+ 2 (/ 4 (* a x))))
(-.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x x)) (/.f64 #s(literal 16 binary64) (.f64 a (.f64 x (.f64 x x))))) (.f64 a a)))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 8 binary64) (.f64 a (.f64 x x)))) a))
(- (* -1 (/ (+ (* 4 (/ 1 x)) (+ (/ 8 (* a (pow x 2))) (/ 16 (* (pow a 2) (pow x 3))))) a)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 a (.f64 x x))) (/.f64 #s(literal 16 binary64) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) a))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (+.f64 x (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* x (+ a (* x (- (* 1/4 (* (pow a 3) x)) (* -1/2 (pow a 2))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 a (.f64 a a)))) (.f64 a (.f64 a #s(literal 1/2 binary64)))))))
(* x (+ a (* x (- (* x (- (* 1/8 (* (pow a 4) x)) (* -1/4 (pow a 3)))) (* -1/2 (pow a 2))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) a))) (.f64 a (.f64 a (.f64 a #s(literal 1/4 binary64)))))) (.f64 a (*.f64 a #s(literal 1/2 binary64)))))))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 8 binary64) (.f64 a (.f64 a x)))) x))
(- (* -1 (/ (+ (* 8 (/ 1 (pow a 2))) (* 16 (/ 1 (* (pow a 3) x)))) (pow x 2))) (+ 2 (/ 4 (* a x))))
(-.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 a a)) (/.f64 #s(literal 16 binary64) (.f64 x (.f64 a (.f64 a a))))) (.f64 x x)))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 8 binary64) (.f64 a (.f64 a x)))) x))
(- (* -1 (/ (+ (* 4 (/ 1 a)) (+ (/ 8 (* (pow a 2) x)) (/ 16 (* (pow a 3) (pow x 2))))) x)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 8 binary64) (.f64 a (.f64 a x)))) (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 a (.f64 a a)))))) x))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(+ 1 (* a (- (* 1/4 (* a (pow x 2))) (* -1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 a (.f64 (.f64 x x) #s(literal 1/4 binary64))) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* a (- (* a (- (* 1/8 (* a (pow x 3))) (* -1/4 (pow x 2)))) (* -1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 a (+.f64 (.f64 (.f64 a (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (*.f64 x #s(literal 1/2 binary64)))))
(/ -2 (* a x))
(/.f64 #s(literal -2 binary64) (*.f64 a x))
(* -1 (/ (+ (* 2 (/ 1 x)) (* 4 (/ 1 (* a (pow x 2))))) a))
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 x x)))) a)
(/ (- (* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* a (pow x 3))))) a)) (* 2 (/ 1 x))) a)
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(.f64 x (+.f64 a (.f64 x (.f64 a (.f64 a #s(literal -1/2 binary64))))))
(* a (+ x (* a (+ (* -1/2 (pow x 2)) (* -1/6 (* a (pow x 3)))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 a (.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64)))))))
(* a (+ x (* a (+ (* -1/2 (pow x 2)) (* -1/6 (* a (pow x 3)))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 a (.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64)))))))
(* -1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64))))
(* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))
(.f64 a (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) a) (.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64)))))
(* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (+ (* -1/6 (pow x 3)) (/ x (pow a 2)))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (/.f64 x (.f64 a a)) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) a) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
(* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (+ (* -1/6 (pow x 3)) (/ x (pow a 2)))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (/.f64 x (.f64 a a)) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) a) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
(* -1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64))))
(* -1 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))))
(.f64 a (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) a) (.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1/2 (pow x 2)) (/ x a)) a)) (* 1/6 (pow x 3)))))
(.f64 (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 x a)) a)) (-.f64 #s(literal 0 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 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 x a)) a)) (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))))
(* a x)
(*.f64 a x)
(* x (+ a (* -1/2 (* (pow a 2) x))))
(.f64 x (+.f64 a (.f64 x (.f64 a (.f64 a #s(literal -1/2 binary64))))))
(* x (+ a (* x (+ (* -1/2 (pow a 2)) (* -1/6 (* (pow a 3) x))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 a (.f64 a #s(literal -1/2 binary64))) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64)))))))
(* x (+ a (* x (+ (* -1/2 (pow a 2)) (* -1/6 (* (pow a 3) x))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 a (.f64 a #s(literal -1/2 binary64))) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64)))))))
(* -1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64))))
(* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (.f64 a (.f64 a #s(literal -1/2 binary64))) x) (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64))))
(* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (+ (* -1/6 (pow a 3)) (/ a (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 a (.f64 x x)) (+.f64 (/.f64 (.f64 a (.f64 a #s(literal -1/2 binary64))) x) (.f64 (.f64 a (*.f64 a a)) #s(literal -1/6 binary64)))))
(* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (+ (* -1/6 (pow a 3)) (/ a (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 a (.f64 x x)) (+.f64 (/.f64 (.f64 a (.f64 a #s(literal -1/2 binary64))) x) (.f64 (.f64 a (*.f64 a a)) #s(literal -1/6 binary64)))))
(* -1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64))))
(* -1 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (.f64 a (.f64 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 a (.f64 a (.f64 a #s(literal 1/6 binary64)))) (/.f64 (+.f64 (.f64 a (.f64 a #s(literal -1/2 binary64))) (/.f64 a x)) x)) (-.f64 #s(literal 0 binary64) (.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 a (.f64 a (.f64 a #s(literal 1/6 binary64)))) (/.f64 (+.f64 (.f64 a (.f64 a #s(literal -1/2 binary64))) (/.f64 a x)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (+.f64 x (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* a (+ x (* a (- (* 1/4 (* a (pow x 3))) (* -1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 x (.f64 x x)))) (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(* a (+ x (* a (- (* a (- (* 1/8 (* a (pow x 4))) (* -1/4 (pow x 3)))) (* -1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 a (.f64 (.f64 x (.f64 x x)) x))) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 8 binary64) (.f64 a (.f64 x x)))) a))
(- (* -1 (/ (+ (* 8 (/ 1 (pow x 2))) (* 16 (/ 1 (* a (pow x 3))))) (pow a 2))) (+ 2 (/ 4 (* a x))))
(-.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x x)) (/.f64 #s(literal 16 binary64) (.f64 a (.f64 x (.f64 x x))))) (.f64 a a)))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 8 binary64) (.f64 a (.f64 x x)))) a))
(- (* -1 (/ (+ (* 4 (/ 1 x)) (+ (/ 8 (* a (pow x 2))) (/ 16 (* (pow a 2) (pow x 3))))) a)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 a (.f64 x x))) (/.f64 #s(literal 16 binary64) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) a))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (+.f64 x (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* x (+ a (* x (- (* 1/4 (* (pow a 3) x)) (* -1/2 (pow a 2))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 a (.f64 a a)))) (.f64 a (.f64 a #s(literal 1/2 binary64)))))))
(* x (+ a (* x (- (* x (- (* 1/8 (* (pow a 4) x)) (* -1/4 (pow a 3)))) (* -1/2 (pow a 2))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) a))) (.f64 a (.f64 a (.f64 a #s(literal 1/4 binary64)))))) (.f64 a (*.f64 a #s(literal 1/2 binary64)))))))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 8 binary64) (.f64 a (.f64 a x)))) x))
(- (* -1 (/ (+ (* 8 (/ 1 (pow a 2))) (* 16 (/ 1 (* (pow a 3) x)))) (pow x 2))) (+ 2 (/ 4 (* a x))))
(-.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 a a)) (/.f64 #s(literal 16 binary64) (.f64 x (.f64 a (.f64 a a))))) (.f64 x x)))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 8 binary64) (.f64 a (.f64 a x)))) x))
(- (* -1 (/ (+ (* 4 (/ 1 a)) (+ (/ 8 (* (pow a 2) x)) (/ 16 (* (pow a 3) (pow x 2))))) x)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 8 binary64) (.f64 a (.f64 a x)))) (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 a (.f64 a 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)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (+.f64 x (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 (.f64 a (.f64 x (.f64 x x))) #s(literal 1/6 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 (.f64 a (.f64 x (.f64 x x))) #s(literal 1/6 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 a (.f64 a a))))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) (/.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 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) (/.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 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) (/.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 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 a (.f64 a a))))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) a)))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(.f64 (.f64 a (.f64 a a)) (-.f64 #s(literal 0 binary64) (-.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))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(.f64 (.f64 a (.f64 a a)) (-.f64 #s(literal 0 binary64) (-.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 x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (+.f64 x (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 (.f64 x (.f64 a (.f64 a a))) #s(literal 1/6 binary64)) (.f64 a (.f64 a #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 (.f64 x (.f64 a (.f64 a a))) #s(literal 1/6 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 a (.f64 a a))))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 a (.f64 a (.f64 a #s(literal 1/6 binary64)))) (/.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) 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 a (.f64 a (.f64 a #s(literal 1/6 binary64)))) (+.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) x) (/.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 a (.f64 a (.f64 a #s(literal 1/6 binary64)))) (+.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) x) (/.f64 a (*.f64 x x)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 a (.f64 a a))))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 a (.f64 a (.f64 a #s(literal 1/6 binary64)))) (/.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) 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 a (.f64 a #s(literal 1/2 binary64))) (/.f64 a x)) x)) (-.f64 #s(literal 0 binary64) (.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 a (.f64 a #s(literal 1/2 binary64))) (/.f64 a x)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* -1/2 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))

eval151.0ms (1.9%)

Compiler: Compiled 44162 to 2154 computations (95.1% saved)

prune112.0ms (1.4%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	1105	14	1119
Fresh	0	0	0
Picked	2	1	3
Done	3	2	5
Total	1110	17	1127

Accuracy

100.0%

Counts

1127 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.8%	(/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x))))))))
✓	73.3%	(/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64)))))
	71.7%	(/.f64 (.f64 a x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))))
	70.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 a (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 a #s(literal 1/12 binary64)))))) a))
	69.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
	6.7%	(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
	71.7%	(.f64 (/.f64 (.f64 a x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))
	70.8%	(.f64 (/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) (-.f64 (.f64 (*.f64 a x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	73.6%	(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))) a)
	73.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))) a) x)
	4.5%	(.f64 (.f64 a x) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 x x)))) a))
	4.6%	(.f64 (.f64 a x) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a x)))) x))
	6.0%	(.f64 (.f64 a x) (/.f64 #s(literal -2 binary64) (*.f64 a x)))
	73.6%	(.f64 x (/.f64 a (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))))
✓	70.3%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
	8.2%	#s(literal -2 binary64)

Compiler

Compiled 709 to 270 computations (61.9% saved)

regimes74.0ms (0.9%)

Counts

27 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)
(*.f64 a x)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 a x) (/.f64 #s(literal -2 binary64) (*.f64 a x)))
(.f64 x (/.f64 a (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))) 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 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))) a) x)
(/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal 1/2 binary64))))))
(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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 x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
(.f64 (.f64 a x) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a x)))) x))
(.f64 (.f64 a x) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 x x)))) a))
(.f64 (.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)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 a (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 a #s(literal 1/12 binary64)))))) a))
(+.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (*.f64 a x))
(.f64 (/.f64 (.f64 a x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))
(/.f64 (.f64 a x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))))
(.f64 (/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) (-.f64 (.f64 (*.f64 a x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 (.f64 (.f64 a x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))) (.f64 (.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)))))))) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 (.f64 (*.f64 a x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))))))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

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

Calls

5 calls:

37.0ms	(*.f64 a x)
12.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
8.0ms	x
8.0ms	a
6.0ms	(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)

regimes25.0ms (0.3%)

Counts

25 → 2

Calls

Call 1

Inputs
#s(literal -2 binary64)
(*.f64 a x)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 a x) (/.f64 #s(literal -2 binary64) (*.f64 a x)))
(.f64 x (/.f64 a (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))) 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 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))) a) x)
(/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal 1/2 binary64))))))
(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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 x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
(.f64 (.f64 a x) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a x)))) x))
(.f64 (.f64 a x) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 x x)))) a))
(.f64 (.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)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 a (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 a #s(literal 1/12 binary64)))))) a))
(+.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (*.f64 a x))
(.f64 (/.f64 (.f64 a x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))
(/.f64 (.f64 a x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 a x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))))
(.f64 (/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) (-.f64 (.f64 (*.f64 a x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 a x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 (.f64 (.f64 a x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))) (.f64 (.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)))))))) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 (.f64 (*.f64 a x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))))))

Outputs

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

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

Calls

3 calls:

9.0ms	(*.f64 a x)
7.0ms	x
7.0ms	a

Results

Accuracy	Segments	Branch
73.6%	1	`a`
73.6%	1	`x`
75.2%	2	`(*.f64 a x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

(*.f64 a x)

Results

Accuracy	Segments	Branch
73.6%	1	`(*.f64 a x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes12.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
73.6%	1	`x`
73.6%	1	`a`
73.6%	1	`(*.f64 a x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes10.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	a
2.0ms	x
2.0ms	(*.f64 a x)

Results

Accuracy	Segments	Branch
70.3%	1	`x`
70.3%	1	`a`
74.5%	2	`(*.f64 a x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

(*.f64 a x)

Results

Accuracy	Segments	Branch
74.5%	2	`(*.f64 a x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)

Outputs
#s(literal -2 binary64)

Calls

2 calls:

1.0ms	a
1.0ms	x

Results

Accuracy	Segments	Branch
8.2%	1	`x`
8.2%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-41337.56526727802	-0.1192145341229311

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-41337.56526727802	-0.1192145341229311

Results

7.0ms

144×

valid

Compiler

Compiled 121 to 100 computations (17.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 2.0ms (53.7% of total)

ival-exp: 1.0ms (26.9% of total)

const: 0.0ms (0% of total)

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

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-41337.56526727802	-0.1192145341229311

Results

6.0ms

144×

valid

Compiler

Compiled 85 to 73 computations (14.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (38.5% of total)

ival-exp: 1.0ms (38.5% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
8×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	85
1	49	85

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -40000 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))) a) x)
(.f64 x (/.f64 a (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))))
(if (<=.f64 (.f64 a x) #s(literal -2758454771764429/1125899906842624 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -2 binary64)) #s(literal -2 binary64) (.f64 a x))
#s(literal -2 binary64)

Outputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -40000 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64)))) a) x)
(.f64 x (.f64 a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1/2 binary64))))))
(.f64 x (/.f64 a (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal -1/2 binary64)))))
(if (<=.f64 (.f64 a x) #s(literal -2758454771764429/1125899906842624 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -2 binary64)) #s(literal -2 binary64) (.f64 a x))
#s(literal -2 binary64)

soundness1.8s (21.8%)

Rules

5626×	`-lowering-.f32`
5626×	`-lowering-.f64`
5494×	`-lowering-.f32`
5494×	`-lowering-.f64`
4846×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	250
1	192	244
2	602	242
3	1415	240
4	2842	240
5	3158	240
6	3365	240
7	3449	240
8	3462	240
9	3464	240
10	4660	240
11	4660	240
12	4660	240
13	5293	236
14	5759	236
15	6785	236
0	8246	236
0	466	3020
1	1618	2918
2	5220	2874
0	8239	2874
0	297	3924
1	1111	3750
2	3567	3642
0	8834	3642
0	29	187
1	190	171
2	1860	112
0	8419	112
0	16	78
1	90	71
2	829	71
0	9053	71
0	6	4
1	15	4
2	18	4
0	18	4

Stop Event

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

Compiler

Compiled 479 to 298 computations (37.8% saved)

preprocess52.0ms (0.7%)

Remove: (sort a x)
Compiler: Compiled 238 to 110 computations (53.8% 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

analyze27.0ms (0.3%)

sample1.3s (16.2%)

preprocess23.0ms (0.3%)

explain116.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize47.0ms (0.6%)

series3.0ms (0%)

rewrite297.0ms (3.7%)

simplify235.0ms (2.9%)

eval39.0ms (0.5%)

prune31.0ms (0.4%)

simplify88.0ms (1.1%)

localize92.0ms (1.1%)

series18.0ms (0.2%)

rewrite248.0ms (3.1%)

simplify200.0ms (2.5%)

eval85.0ms (1.1%)

prune51.0ms (0.6%)

simplify100.0ms (1.2%)

localize134.0ms (1.7%)

series15.0ms (0.2%)

rewrite424.0ms (5.3%)

simplify292.0ms (3.6%)

eval607.0ms (7.6%)

prune224.0ms (2.8%)

simplify259.0ms (3.2%)

localize165.0ms (2.1%)

series22.0ms (0.3%)

rewrite372.0ms (4.6%)

simplify273.0ms (3.4%)

eval151.0ms (1.9%)

prune112.0ms (1.4%)

regimes74.0ms (0.9%)

regimes25.0ms (0.3%)

regimes7.0ms (0.1%)

regimes12.0ms (0.2%)

regimes10.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.2%)

bsearch11.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.8s (21.8%)

preprocess52.0ms (0.7%)

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