Metrics for expax (section 3.5)

analyze32.0ms (0.4%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-exp: 3.0ms (28.9% of total)

ival-mult: 3.0ms (28.9% of total)

ival-sub: 2.0ms (19.3% of total)

const: 1.0ms (9.6% of total)

ival->: 1.0ms (9.6% of total)

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

sample2.1s (27.5%)

Results

1.5s	5390×	1	valid
316.0ms	2866×	0	valid
19.0ms	290×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 875.0ms

ival-exp: 345.0ms (39.4% of total)

ival-mult: 157.0ms (17.9% of total)

backward-pass: 135.0ms (15.4% of total)

ival->: 129.0ms (14.7% of total)

ival-sub: 93.0ms (10.6% of total)

const: 16.0ms (1.8% 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)

explain899.0ms (11.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
133	-	0	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
2	-	1	(-1.634255751012038e+69 -4.869562604869043e-68)	`(exp.f64 (*.f64 a x))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 a x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`a`

Results

829.0ms	362×	1	valid
40.0ms	150×	0	valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 793.0ms

ival-exp: 773.0ms (97.5% of total)

ival-mult: 8.0ms (1% of total)

backward-pass: 6.0ms (0.8% of total)

ival-sub: 5.0ms (0.6% of total)

const: 1.0ms (0.1% 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
▶	99.9%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize67.0ms (0.9%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(expm1.f64 (*.f64 a x))

Results

52.0ms	181×	5	exit
6.0ms	75×	0	valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

backward-pass: 6.0ms (28.9% of total)

compiled-spec: 6.0ms (28.9% of total)

ival-mult: 3.0ms (14.5% of total)

ival-sub: 3.0ms (14.5% of total)

ival-exp: 2.0ms (9.6% 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	x	@	-inf	(* a x)

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

8×	`exp-prod`
6×	`exp-lowering-exp.f32`
6×	`expm1-define`
6×	`exp-lowering-exp.f64`
4×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	21	7
3	27	7
4	30	7
0	30	7

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 6

Calls

Call 1

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

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

simplify303.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

7334×	`fma-define`
6548×	`fma-lowering-fma.f32`
6548×	`fma-lowering-fma.f64`
2994×	`-lowering-.f32`
2994×	`-lowering-.f64`

Iterations

Useful iterations: 15 (0.0ms)

Iter	Nodes	Cost
0	58	250
1	192	238
2	604	236
3	1416	232
4	2879	232
5	3198	232
6	3403	232
7	3477	232
8	3482	232
9	3482	232
10	4035	232
11	4220	232
12	4359	232
13	4429	232
14	4429	230
15	6668	228
16	7997	228
0	8063	228

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

eval5.0ms (0.1%)

Compiler: Compiled 300 to 38 computations (87.3% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	50	4	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	5	55

Accuracy

99.9%

Counts

55 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.7%	(.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))))))))
▶	68.4%	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))))))
▶	71.7%	(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))))
▶	72.3%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 68 to 45 computations (33.8% saved)

simplify156.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

2736×	`+-lowering-+.f64`
2736×	`+-lowering-+.f32`
2446×	`sum3-define`
1976×	`sum4-define`
1946×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	248
1	105	223
2	368	220
3	1420	220
4	3669	220
5	5985	220
6	7657	220
0	8297	220

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize162.0ms (2.1%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 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	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	98.5%	(.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))
✓	accuracy	99.3%	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))))))
✓	accuracy	98.6%	(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))))
✓	accuracy	98.3%	(.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))
✓	accuracy	92.6%	(.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))))))
✓	accuracy	100.0%	(.f64 x (.f64 a #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 a #s(literal 1/2 binary64))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64)))))
✓	accuracy	98.5%	(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))))
✓	accuracy	100.0%	(*.f64 a x)

Results

111.0ms	255×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 256 to 31 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 30.0ms (63.3% of total)

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

ival-add: 7.0ms (14.8% of total)

const: 1.0ms (2.1% of total)

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

series30.0ms (0.4%)

Counts

17 → 384

Calls

Call 1

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

Calls

96 calls:

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

rewrite257.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2802×	`+-lowering-+.f64`
2802×	`+-lowering-+.f32`
2500×	`sum3-define`
2132×	`sum4-define`
1946×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	183
1	107	163
2	373	160
3	1434	160
4	3707	160
5	6056	160
6	7866	160
0	8622	160

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 875

Calls

Call 1

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

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

simplify275.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

5972×	`-lowering-.f32`
5972×	`-lowering-.f64`
3716×	`+-lowering-+.f64`
3716×	`+-lowering-+.f32`
1424×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	4073
1	1211	3643
2	4260	3553
0	8804	3553

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

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

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

eval146.0ms (1.9%)

Compiler: Compiled 31420 to 2640 computations (91.6% saved)

prune141.0ms (1.8%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	1277	11	1288
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	1278	15	1293

Accuracy

99.9%

Counts

1293 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.7%	(+.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))
	71.9%	(+.f64 (.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (.f64 a x)))))
	71.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))))) (.f64 a x))
	71.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (.f64 a x))
▶	72.7%	(.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)
▶	23.7%	(.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a (.f64 a a)))))
	72.7%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))))
▶	24.3%	(.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
▶	23.4%	(.f64 x (.f64 x (.f64 a (.f64 a #s(literal 1/2 binary64)))))
✓	68.4%	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))))))
	68.3%	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x (.f64 x #s(literal 1/24 binary64))))))))))
✓	71.7%	(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))))
	24.0%	(.f64 a (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
✓	72.3%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 475 to 298 computations (37.3% saved)

simplify78.0ms (1%)

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

Rules

2310×	`fma-define`
1276×	`fma-lowering-fma.f32`
1276×	`fma-lowering-fma.f64`
986×	`-lowering-.f32`
986×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	256
1	93	231
2	332	229
3	1009	226
4	1863	226
5	2381	226
6	2494	226
7	2494	226
8	2494	226
9	2651	226
10	2667	226
0	2667	226

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize170.0ms (2.2%)

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	99.7%	(.f64 (.f64 a x) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.7%	(.f64 a (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	98.5%	(.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))
✓	accuracy	99.8%	(.f64 a (.f64 a a))
✓	accuracy	99.8%	(.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a (.f64 a a))))
✓	accuracy	94.7%	(.f64 x (.f64 a (*.f64 a a)))
✓	accuracy	86.0%	(.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 a (.f64 a a)))))
✓	accuracy	100.0%	(.f64 a (.f64 a #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 a #s(literal 1/2 binary64))
✓	accuracy	94.1%	(.f64 x (.f64 x (.f64 a (.f64 a #s(literal 1/2 binary64)))))
✓	accuracy	91.3%	(.f64 x (.f64 a (*.f64 a #s(literal 1/2 binary64))))
✓	accuracy	99.7%	(.f64 a (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.2%	(.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	98.8%	(.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)

Results

117.0ms

256×

valid

Compiler

Compiled 276 to 29 computations (89.5% saved)

Precisions

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

ival-mult: 31.0ms (78.7% of total)

ival-add: 4.0ms (10.2% of total)

...c/correct-round.rkt:119:19: 4.0ms (10.2% of total)

const: 1.0ms (2.5% of total)

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

series26.0ms (0.3%)

Counts

21 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Expression
5.0ms	x	@	(* 1/6 (* x (* a (* a a))))
2.0ms	x	@	(* x (* a (* a 1/2)))
1.0ms	a	@	(* (* x x) (* 1/6 (* x (* a (* a a)))))
1.0ms	x	@	(* (* x x) (* 1/6 (* x (* a (* a a)))))
1.0ms	x	@	(* x (* x (* a (* a 1/2))))

rewrite283.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4720×	`sum5-define`
2434×	`fma-define`
2100×	`sum4-define`
1392×	`fma-lowering-fma.f32`
1392×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	181
1	96	160
2	345	158
3	1030	155
4	1949	155
5	2591	155
6	3291	155
7	4193	155
8	4312	155
9	4312	155
10	4576	155
11	4576	155
12	4692	155
13	4708	155
14	4708	155
15	6960	155
16	6960	155
17	6960	155
0	6960	155

Stop Event

1×	iter limit
1×	saturated

Counts

21 → 679

Calls

Call 1

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

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

simplify228.0ms (3%)

Algorithm

1×	egg-herbie

Rules

3832×	`-lowering-.f32`
3832×	`-lowering-.f64`
1936×	`fnmadd-define`
1388×	`+-lowering-+.f64`
1388×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	4096
1	613	3666
2	2198	3542
3	4417	3406
0	9247	3406

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

eval146.0ms (1.9%)

Compiler: Compiled 24581 to 1272 computations (94.8% saved)

prune116.0ms (1.5%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	1389	6	1395
Fresh	2	4	6
Picked	2	3	5
Done	0	4	4
Total	1393	17	1410

Accuracy

99.9%

Counts

1410 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.7%	(+.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))
	71.9%	(+.f64 (.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (.f64 a x)))))
▶	72.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x a) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) #s(literal 1/6 binary64))))) (.f64 x a))
	71.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))))) (.f64 a x))
	71.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) (.f64 a x))
▶	24.1%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) #s(literal 1/6 binary64))) (.f64 x (.f64 x (.f64 a a))))
	24.3%	(.f64 (.f64 (.f64 x a) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) #s(literal 1/6 binary64)))) (.f64 x a))
▶	24.5%	(.f64 (.f64 (.f64 x a) (.f64 x (.f64 (.f64 x a) #s(literal 1/6 binary64)))) a)
▶	23.5%	(.f64 (.f64 (.f64 x a) #s(literal 1/2 binary64)) (.f64 x a))
▶	72.4%	(.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x a) #s(literal 1/2 binary64))) (.f64 x (.f64 a (.f64 (.f64 x a) #s(literal 1/6 binary64)))))) a)
✓	72.7%	(.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)
✓	23.4%	(.f64 x (.f64 x (.f64 a (.f64 a #s(literal 1/2 binary64)))))
✓	68.4%	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))))))
	68.3%	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x (.f64 x #s(literal 1/24 binary64))))))))))
✓	71.7%	(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))))
✓	72.3%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 492 to 299 computations (39.2% saved)

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

1902×	`fma-define`
1276×	`fma-lowering-fma.f32`
1276×	`fma-lowering-fma.f64`
986×	`-lowering-.f32`
986×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	254
1	93	227
2	303	221
3	839	215
4	1649	215
5	2083	215
6	2184	215
7	2184	215
8	2184	215
9	2220	215
10	2226	215
0	2226	215

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize207.0ms (2.7%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x a) #s(literal 1/2 binary64))) (.f64 x (.f64 a (.f64 (*.f64 x a) #s(literal 1/6 binary64))))))
✓	accuracy	98.8%	(.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x a) #s(literal 1/2 binary64))) (.f64 x (.f64 a (.f64 (.f64 x a) #s(literal 1/6 binary64)))))) a)
✓	accuracy	94.7%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x a) #s(literal 1/2 binary64))) (.f64 x (.f64 a (.f64 (.f64 x a) #s(literal 1/6 binary64)))))
✓	accuracy	94.1%	(.f64 x (.f64 a (.f64 (.f64 x a) #s(literal 1/6 binary64))))
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) #s(literal 1/6 binary64))) (.f64 x (.f64 x (.f64 a a))))
✓	accuracy	99.5%	(.f64 (.f64 x a) #s(literal 1/6 binary64))
✓	accuracy	94.1%	(.f64 x (.f64 x (*.f64 a a)))
✓	accuracy	91.3%	(.f64 x (.f64 a a))
✓	accuracy	99.9%	(.f64 (.f64 x a) (.f64 x (.f64 (*.f64 x a) #s(literal 1/6 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 (*.f64 x a) #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(.f64 (.f64 x a) #s(literal 1/6 binary64))
✓	accuracy	97.2%	(.f64 (.f64 (.f64 x a) (.f64 x (.f64 (.f64 x a) #s(literal 1/6 binary64)))) a)
✓	accuracy	100.0%	(*.f64 x a)
✓	accuracy	100.0%	(.f64 (.f64 x a) #s(literal 1/2 binary64))
✓	accuracy	99.6%	(.f64 (.f64 (.f64 x a) #s(literal 1/2 binary64)) (.f64 x a))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x a) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) #s(literal 1/6 binary64)))))
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x a) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) #s(literal 1/6 binary64))))) (.f64 x a))
✓	accuracy	99.9%	(.f64 (.f64 x a) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(.f64 (.f64 x a) #s(literal 1/6 binary64))

Results

154.0ms

256×

valid

Compiler

Compiled 273 to 27 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 46.0ms (82.1% of total)

ival-add: 5.0ms (8.9% of total)

...c/correct-round.rkt:119:19: 4.0ms (7.1% of total)

const: 1.0ms (1.8% of total)

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

series15.0ms (0.2%)

Counts

19 → 456

Calls

Call 1

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

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

Calls

114 calls:

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

rewrite298.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4704×	`sum5-define`
2590×	`fma-define`
2052×	`sum4-define`
1392×	`fma-lowering-fma.f32`
1392×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	186
1	95	161
2	308	155
3	845	149
4	1498	149
5	1868	149
6	2207	149
7	2945	149
8	3850	149
9	4329	149
10	4598	149
11	4602	149
12	4602	149
13	4798	149
14	4798	149
15	4820	149
16	4820	149
17	6906	149
18	6906	149
19	6906	149
0	6906	149

Stop Event

1×	iter limit
1×	saturated

Counts

19 → 638

Calls

Call 1

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

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

simplify245.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

3756×	`-lowering-.f32`
3756×	`-lowering-.f64`
1372×	`fmsub-define`
1336×	`fma-lowering-fma.f32`
1336×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	179	4224
1	651	3708
2	2259	3504
3	4712	3500
0	8439	3500

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

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

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

eval205.0ms (2.7%)

Compiler: Compiled 26103 to 1334 computations (94.9% saved)

prune107.0ms (1.4%)

Pruning

19 alts after pruning (7 fresh and 12 done)

	Pruned	Kept	Total
New	1515	4	1519
Fresh	2	3	5
Picked	0	5	5
Done	0	7	7
Total	1517	19	1536

Accuracy

99.9%

Counts

1536 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.7%	(+.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))
	71.9%	(+.f64 (.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (.f64 a x)))))
✓	72.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x a) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) #s(literal 1/6 binary64))))) (.f64 x a))
	71.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x a) #s(literal 1/2 binary64))) (.f64 x a))
	71.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))))) (.f64 a x))
	24.3%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) #s(literal 1/6 binary64))) (.f64 (.f64 x a) (.f64 x a)))
✓	24.1%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) #s(literal 1/6 binary64))) (.f64 x (.f64 x (.f64 a a))))
	24.3%	(.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 a a)))) #s(literal 1/6 binary64)) a)
✓	24.5%	(.f64 (.f64 (.f64 x a) (.f64 x (.f64 (.f64 x a) #s(literal 1/6 binary64)))) a)
✓	23.5%	(.f64 (.f64 (.f64 x a) #s(literal 1/2 binary64)) (.f64 x a))
✓	72.4%	(.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x a) #s(literal 1/2 binary64))) (.f64 x (.f64 a (.f64 (.f64 x a) #s(literal 1/6 binary64)))))) a)
✓	72.7%	(.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)
	65.4%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a))))))) a)
✓	23.4%	(.f64 x (.f64 x (.f64 a (.f64 a #s(literal 1/2 binary64)))))
✓	68.4%	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))))))
	68.3%	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x (.f64 x #s(literal 1/24 binary64))))))))))
✓	71.7%	(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))))
✓	72.3%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 737 to 321 computations (56.4% saved)

regimes43.0ms (0.6%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	x
10.0ms	(*.f64 a x)
8.0ms	a
6.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
6.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`x`
99.9%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
99.9%	1	`(exp.f64 (*.f64 a x))`
99.9%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes24.0ms (0.3%)

Counts

25 → 1

Calls

Call 1

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

Outputs
(.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)

Calls

3 calls:

8.0ms	x
7.0ms	a
7.0ms	(*.f64 a x)

Results

Accuracy	Segments	Branch
72.7%	1	`a`
72.7%	1	`x`
72.7%	1	`(*.f64 a x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes18.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

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

Outputs
(.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))))))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
72.7%	1	`a`
72.7%	1	`x`
72.7%	1	`(*.f64 a x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes15.0ms (0.2%)

Accuracy

Total -31.6b remaining (-178.2%)

Threshold costs -31.6b (-178.2%)

Counts

14 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
72.3%	1	`a`
72.3%	1	`x`
72.3%	1	`(*.f64 a x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	33	41

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness682.0ms (8.8%)

Rules

7334×	`fma-define`
6548×	`fma-lowering-fma.f32`
6548×	`fma-lowering-fma.f64`
2994×	`-lowering-.f32`
2994×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	250
1	192	238
2	604	236
3	1416	232
4	2879	232
5	3198	232
6	3403	232
7	3477	232
8	3482	232
9	3482	232
10	4035	232
11	4220	232
12	4359	232
13	4429	232
14	4429	230
15	6668	228
16	7997	228
0	8063	228
0	6	4
1	15	4
2	18	4
0	18	4
0	30	183
1	107	163
2	373	160
3	1434	160
4	3707	160
5	6056	160
6	7866	160
0	8622	160

Stop Event

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

Compiler

Compiled 91 to 50 computations (45.1% saved)

preprocess38.0ms (0.5%)

Remove: (sort a x)
Compiler: Compiled 150 to 80 computations (46.7% 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

analyze32.0ms (0.4%)

sample2.1s (27.5%)

preprocess23.0ms (0.3%)

explain899.0ms (11.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize67.0ms (0.9%)

series3.0ms (0%)

rewrite60.0ms (0.8%)

simplify303.0ms (3.9%)

eval5.0ms (0.1%)

prune3.0ms (0%)

simplify156.0ms (2%)

localize162.0ms (2.1%)

series30.0ms (0.4%)

rewrite257.0ms (3.3%)

simplify275.0ms (3.6%)

eval146.0ms (1.9%)

prune141.0ms (1.8%)

simplify78.0ms (1%)

localize170.0ms (2.2%)

series26.0ms (0.3%)

rewrite283.0ms (3.7%)

simplify228.0ms (3%)

eval146.0ms (1.9%)

prune116.0ms (1.5%)

simplify73.0ms (1%)

localize207.0ms (2.7%)

series15.0ms (0.2%)

rewrite298.0ms (3.9%)

simplify245.0ms (3.2%)

eval205.0ms (2.7%)

prune107.0ms (1.4%)

regimes43.0ms (0.6%)

regimes24.0ms (0.3%)

regimes18.0ms (0.2%)

regimes15.0ms (0.2%)

simplify7.0ms (0.1%)

soundness682.0ms (8.8%)

preprocess38.0ms (0.5%)

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