Metrics for expax (section 3.5)

analyze27.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions

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

ival-exp: 3.0ms (28.1% of total)

ival-mult: 3.0ms (28.1% of total)

ival-sub: 2.0ms (18.8% of total)

ival->: 2.0ms (18.8% of total)

const: 0.0ms (0% of total)

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

sample1.7s (20.1%)

Results

1.2s	5332×	1	valid
175.0ms	2924×	0	valid
21.0ms	334×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-sub: 383.0ms (36.5% of total)

ival-exp: 336.0ms (32% of total)

ival-mult: 177.0ms (16.9% of total)

ival->: 82.0ms (7.8% of total)

backward-pass: 56.0ms (5.3% of total)

const: 16.0ms (1.5% of total)

Bogosity

preprocess20.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(sort a x)

explain107.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
133	2	(-4.141009787487577e-157 3.534375479860135e-167)	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	0	-	-	`x`
0	0	-	-	`(*.f64 a x)`
0	0	-	-	`(exp.f64 (*.f64 a x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`a`

Results

69.0ms	316×	1	valid
12.0ms	196×	0	valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-exp: 16.0ms (39.5% of total)

ival-sub: 12.0ms (29.6% of total)

ival-mult: 7.0ms (17.3% of total)

backward-pass: 4.0ms (9.9% of total)

const: 1.0ms (2.5% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize59.0ms (0.7%)

Localize:

Found 2 expressions of interest:

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

Results

34.0ms	157×	5	exit
6.0ms	98×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

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

compiled-spec: 4.0ms (28.7% of total)

backward-pass: 4.0ms (28.7% of total)

ival-exp: 2.0ms (14.4% of total)

ival-mult: 2.0ms (14.4% of total)

ival-sub: 1.0ms (7.2% 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)

rewrite299.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 238

Calls

Call 1

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

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

simplify247.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 13 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval36.0ms (0.4%)

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

prune74.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

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

Accuracy

100.0%

Counts

287 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))))) (.f64 (/.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (exp.f64 (.f64 a (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
▶	99.9%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
▶	65.1%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
▶	63.7%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
▶	61.1%	(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64)))))))
▶	63.9%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 252 to 138 computations (45.2% saved)

simplify146.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64))))
✓	cost-diff	256	(.f64 (.f64 a (.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (*.f64 a #s(literal 1/24 binary64)))))
✓	cost-diff	256	(+.f64 x (.f64 (.f64 a (.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (*.f64 a #s(literal 1/24 binary64))))))
✓	cost-diff	256	(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
✓	cost-diff	0	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(.f64 a (.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
✓	cost-diff	6912	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))

Rules

2162×	`-lowering-.f32`
2162×	`-lowering-.f64`
2026×	`+-lowering-+.f64`
2026×	`+-lowering-+.f32`
2004×	`sum4-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	274
1	112	259
2	437	247
3	1794	247
4	2804	247
5	4320	238
6	6633	238
7	7462	238
0	8018	238

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize236.0ms (2.8%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64)))))))
✓	accuracy	94.1%	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64))))
✓	accuracy	91.4%	(.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64)))
✓	accuracy	89.4%	(.f64 a (.f64 x x))
✓	accuracy	99.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
✓	accuracy	99.8%	(.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	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.8%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓	accuracy	100.0%	(exp.f64 (*.f64 a x))
✓	accuracy	99.9%	(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
✓	accuracy	99.9%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))

Results

136.0ms	157×	1	valid
38.0ms	99×	0	valid

Compiler

Compiled 281 to 33 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-mult: 48.0ms (40.9% of total)

compiled-spec: 15.0ms (12.8% of total)

ival-add: 12.0ms (10.2% of total)

ival-exp: 12.0ms (10.2% of total)

...c/correct-round.rkt:119:19: 12.0ms (10.2% of total)

backward-pass: 12.0ms (10.2% of total)

ival-div: 3.0ms (2.6% of total)

ival-sub: 3.0ms (2.6% of total)

const: 1.0ms (0.9% of total)

series41.0ms (0.5%)

Counts

22 → 492

Calls

Call 1

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

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

Calls

123 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(/ (- (exp (* a (* x 2))) 1) (+ (exp (* a x)) 1))
3.0ms	x	@	0	(* (* a x) (+ 1 (* (* a x) (+ 1/2 (* a (* x 1/6))))))
2.0ms	a	@	inf	(* a (+ x (* (* a (* x x)) (+ (+ 1/2 (* a (* x 1/6))) (* (* a (* x x)) (* a 1/24))))))
1.0ms	x	@	inf	(* x 2)
1.0ms	a	@	0	(/ (- (exp (* a (* x 2))) 1) (+ (exp (* a x)) 1))

rewrite343.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3786×	`-lowering-.f32`
3786×	`-lowering-.f64`
2654×	`/-lowering-/.f32`
2654×	`/-lowering-/.f64`
2086×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	217
1	199	195
2	1939	185
0	8396	185

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 689

Calls

Call 1

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

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

simplify264.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

4886×	`-lowering-.f32`
4886×	`-lowering-.f64`
2086×	`+-lowering-+.f64`
2086×	`+-lowering-+.f32`
1524×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	437	4918
1	1573	4687
2	5609	4642
0	8200	4642

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

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

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 a (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))))))))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 a (+.f64 (.f64 a (+.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(* a x)
(*.f64 a x)
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))
(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (.f64 x (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a a))))))))))
(* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (.f64 x (+.f64 (.f64 x (+.f64 (+.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 a a)))) (.f64 (.f64 a #s(literal -1/2 binary64)) (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a a)))))))) (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(.f64 x (.f64 #s(literal 2 binary64) (+.f64 a (.f64 x (.f64 a a)))))
(* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))
(.f64 a (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 a (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 a #s(literal 4/3 binary64))) (.f64 x (*.f64 x #s(literal 2 binary64)))))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))
(.f64 a (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 a (+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 a (+.f64 (.f64 #s(literal 2/3 binary64) (.f64 a (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 (.f64 x x) #s(literal 4/3 binary64)))))))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(.f64 x (.f64 #s(literal 2 binary64) (+.f64 a (.f64 x (.f64 a a)))))
(* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))
(.f64 x (+.f64 (.f64 a #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 x #s(literal 4/3 binary64))) (.f64 #s(literal 2 binary64) (*.f64 a a))))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))
(.f64 x (+.f64 (.f64 a #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 x (+.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 x #s(literal 2/3 binary64))) (.f64 a (.f64 (.f64 a a) #s(literal 4/3 binary64)))))))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
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2
#s(literal 2 binary64)
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(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/24 binary64))))

eval178.0ms (2.1%)

Compiler: Compiled 38442 to 2843 computations (92.6% saved)

prune155.0ms (1.8%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	1387	15	1402
Fresh	1	0	1
Picked	2	3	5
Done	0	1	1
Total	1390	19	1409

Accuracy

100.0%

Counts

1409 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.4%	(/.f64 (-.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 (.f64 a (.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64))))))) (.f64 a (.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64))))))))) (-.f64 (.f64 a x) (.f64 a (.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64)))))))))
	99.9%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (fma.f64 (exp.f64 (.f64 a (/.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
▶	99.9%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 a x)) #s(literal 1 binary64)))
✓	99.9%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
	63.6%	(+.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/2 binary64)) (*.f64 a x))
	65.1%	(+.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))) (*.f64 a x))
▶	64.0%	(+.f64 (.f64 a (.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64))))))) (.f64 a x))
	64.1%	(.f64 (+.f64 x (.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (*.f64 a x)) #s(literal 1/24 binary64))))))) a)
▶	65.0%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))) a) x)
	63.7%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)
	65.1%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))) a) x)))
✓	63.7%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
▶	15.8%	(.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))
▶	39.4%	(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 x a)))
	39.0%	(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (/.f64 (+.f64 (*.f64 a #s(literal -1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x)) x))))))
	60.9%	(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) #s(literal 1/2 binary64))))
	21.7%	(.f64 a (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 a (.f64 (.f64 a a) #s(literal 1/24 binary64))) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (*.f64 a a) #s(literal -1/6 binary64))) x))))
✓	63.9%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 789 to 401 computations (49.2% saved)

simplify203.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (*.f64 a x)) #s(literal 1/24 binary64)))))
✓	cost-diff	128	(.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64))))))
✓	cost-diff	128	(.f64 a (.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (*.f64 a x)) #s(literal 1/24 binary64)))))))
✓	cost-diff	256	(+.f64 (.f64 a (.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64))))))) (.f64 a x))
✓	cost-diff	0	(.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a x) #s(literal 1/6 binary64))))) a)
✓	cost-diff	0	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))) a) x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 x a))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	128	(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 x a)))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	6400	(exp.f64 #s(literal 1 binary64))
✓	cost-diff	6464	(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 a x))
✓	cost-diff	6464	(+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 a x)) #s(literal 1 binary64))
✓	cost-diff	13376	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 a x)) #s(literal 1 binary64)))

Rules

3870×	`-lowering-.f32`
3870×	`-lowering-.f64`
2466×	`+-lowering-+.f64`
2466×	`+-lowering-+.f32`
2120×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	40	309
1	126	290
2	432	284
3	1389	282
4	3352	279
5	6496	270
0	8512	270

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize286.0ms (3.4%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	95.7%	(.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (*.f64 a x)) #s(literal 1/24 binary64))))
✓	accuracy	94.0%	(.f64 a (.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (*.f64 a x)) #s(literal 1/24 binary64)))))))
✓	accuracy	93.8%	(+.f64 (.f64 a (.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64))))))) (.f64 a x))
✓	accuracy	99.8%	(.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))
✓	accuracy	99.1%	(.f64 (.f64 a x) #s(literal 1/6 binary64))
✓	accuracy	98.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a x) #s(literal 1/6 binary64))))) a)
✓	accuracy	97.7%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))) a) x)
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal 1/2 binary64))
✓	accuracy	92.5%	(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 x a))
✓	accuracy	64.7%	(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 x a)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.6%	(.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 a x)) #s(literal 1 binary64))
✓	accuracy	100.0%	(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 a x))
✓	accuracy	99.9%	(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
✓	accuracy	99.9%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 a x)) #s(literal 1 binary64)))

Results

159.0ms	157×	1	valid
48.0ms	99×	0	valid

Compiler

Compiled 326 to 40 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 148.0ms

ival-mult: 56.0ms (37.9% of total)

ival-add: 16.0ms (10.8% of total)

compiled-spec: 16.0ms (10.8% of total)

ival-exp: 15.0ms (10.2% of total)

backward-pass: 13.0ms (8.8% of total)

...c/correct-round.rkt:119:19: 12.0ms (8.1% of total)

ival-pow: 10.0ms (6.8% of total)

ival-div: 6.0ms (4.1% of total)

ival-sub: 3.0ms (2% of total)

const: 1.0ms (0.7% of total)

series27.0ms (0.3%)

Counts

24 → 504

Calls

Call 1

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

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

Calls

126 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(+ (* a (* (* x (* a x)) (+ 1/2 (* a (+ (* x 1/6) (* (* x (* a x)) 1/24)))))) (* a x))
4.0ms	x	@	-inf	(* (* x (* a x)) (+ 1/2 (* a (+ (* x 1/6) (* (* x (* a x)) 1/24)))))
1.0ms	x	@	-inf	(* (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6)))) a)
1.0ms	x	@	inf	(* (* a a) (+ (* (* x x) 1/2) (/ x a)))
0.0ms	x	@	0	(* (* a a) (+ (* (* x x) 1/2) (/ x a)))

rewrite411.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3748×	`-lowering-.f32`
3748×	`-lowering-.f64`
3036×	`/-lowering-/.f32`
3036×	`/-lowering-/.f64`
2422×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	237
1	244	204
2	2328	196
0	8790	196

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 781

Calls

Call 1

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

Outputs
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(+.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x)))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 a x))))) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 a x))))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) #s(literal 1 binary64))))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) #s(literal -2 binary64)) (.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) #s(literal -2 binary64)) (.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) #s(literal -2 binary64)) (+.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))))
(fma.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (E.f64) (/.f64 (.f64 a x) #s(literal 2 binary64))) (pow.f64 (E.f64) (/.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (E.f64) (/.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(fma.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))) (expm1.f64 (.f64 a x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(expm1.f64 (*.f64 a x))
(neg.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x))))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (expm1.f64 (.f64 a x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))))
(/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))))
(/.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) #s(literal 1 binary64))))
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(pow.f64 (pow.f64 (.f64 (E.f64) (E.f64)) (.f64 a #s(literal 1/2 binary64))) x)
(pow.f64 (exp.f64 x) a)
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(E.f64)
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(exp.f64 #s(literal 1 binary64))
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(-.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) #s(literal -1 binary64))))))
(fma.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 a x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (E.f64) (/.f64 (.f64 a x) #s(literal 2 binary64))) (exp.f64 (.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3/2 binary64))) (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 a (/.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (exp.f64 (.f64 a (/.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64))) (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 a x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64))) (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 a x)) #s(literal 2 binary64))) #s(literal -1 binary64)))))
(/.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64)))) (.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64))) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64))) (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 a x)) #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) (expm1.f64 (*.f64 a x)))
(.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) #s(literal 1 binary64)))))
(.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64))) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) #s(literal 1 binary64)))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(.f64 x (.f64 #s(literal 1/6 binary64) a))
(.f64 (.f64 a x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 a x))
(.f64 (.f64 x #s(literal 1/6 binary64)) a)
(.f64 (.f64 a #s(literal 1/6 binary64)) x)
(.f64 (.f64 #s(literal 1/6 binary64) a) x)
(+.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (.f64 a x)))))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (.f64 a x)))) (.f64 a (.f64 x #s(literal 1/6 binary64))))
(-.f64 (/.f64 (.f64 (.f64 a a) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (-.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (.f64 a x)))))) (/.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (.f64 a x)))) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (.f64 a x))))) (-.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (*.f64 a x)))))))
(fma.f64 a (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (*.f64 a x)))))
(fma.f64 a (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64)) (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 a #s(literal 1/6 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (*.f64 a x)))))
(fma.f64 x (.f64 #s(literal 1/6 binary64) a) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (*.f64 a x)))))
(fma.f64 x (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) a) (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 a x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (*.f64 a x)))))
(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 1/6 binary64) (.f64 a x) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (*.f64 a x)))))
(fma.f64 (.f64 x (.f64 a x)) (.f64 #s(literal 1/24 binary64) a) (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) a (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (*.f64 a x)))))
(fma.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (.f64 a x))) (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64)) a (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 a (.f64 x (.f64 a 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 x (.f64 a x)) (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 a #s(literal 1/6 binary64)) x (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (*.f64 a x)))))
(fma.f64 (.f64 #s(literal 1/6 binary64) a) x (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (*.f64 a x)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/216 binary64)) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))))))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (.f64 a x)))) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (.f64 a x))))) (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (.f64 a x))))))))
(/.f64 (-.f64 (.f64 (.f64 a a) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (.f64 a x)))) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (.f64 a x)))))) (-.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (*.f64 a x))))))
(/.f64 (.f64 a (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/13824 binary64))))) (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (.f64 a (.f64 (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/13824 binary64)))) a) (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (.f64 (.f64 (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) a) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/216 binary64)) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))))))) (neg.f64 (+.f64 (.f64 (.f64 a a) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (.f64 a x)))) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (.f64 a x))))) (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (.f64 a x)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 a a) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (.f64 a x)))) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (.f64 a x))))))) (neg.f64 (-.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (*.f64 a x)))))))
(/.f64 (neg.f64 (.f64 a (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/13824 binary64)))))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (.f64 a (.f64 (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))) (neg.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/13824 binary64)))) a)) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) a)) (neg.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))))
(.f64 a (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))))
(.f64 (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))) a)
(.f64 (/.f64 a x) (/.f64 (.f64 (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) (-.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))
(.f64 (/.f64 (.f64 (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))) x) (/.f64 a (-.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)

simplify340.0ms (4%)

Algorithm

1×	egg-herbie

Rules

5044×	`-lowering-.f32`
5044×	`-lowering-.f64`
2538×	`+-lowering-+.f64`
2538×	`+-lowering-+.f32`
1512×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	435	5428
1	1583	5203
2	5712	5146
0	8091	5146

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

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

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 a (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))))))))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 a (+.f64 (.f64 a (-.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))) (.f64 x #s(literal 1/2 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(* a x)
(*.f64 a x)
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))
(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 a (.f64 a #s(literal 1/2 binary64)))))))))))
(* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 x (-.f64 (+.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 a a)))) (.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 a (.f64 a #s(literal 1/2 binary64)))))) (.f64 a #s(literal 1/2 binary64))))) (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 a (*.f64 a #s(literal 1/2 binary64))))))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
2
#s(literal 2 binary64)
(+ 2 (* a x))
(+.f64 (*.f64 a x) #s(literal 2 binary64))
(+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))))
(+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
2
#s(literal 2 binary64)
(+ 2 (* a x))
(+.f64 (*.f64 a x) #s(literal 2 binary64))
(+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))))
(+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
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(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 a a) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 a a) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 a a) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 a a) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 a a) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 a a) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 x (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (/.f64 a x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 x (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (/.f64 a x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 x (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (/.f64 a x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 x (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (/.f64 a x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 x (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (/.f64 a x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 x (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (/.f64 a x))))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(/ x a)
(/.f64 x a)
(* x (+ (* 1/2 x) (/ 1 a)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))
(* x (+ (* 1/2 x) (/ 1 a)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))
(* x (+ (* 1/2 x) (/ 1 a)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (* a x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(* (pow x 2) (+ 1/2 (/ 1 (* a x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(* (pow x 2) (+ 1/2 (/ 1 (* a x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (* a x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(* (pow x 2) (+ 1/2 (/ 1 (* a x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(* (pow x 2) (+ 1/2 (/ 1 (* a x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(/ x a)
(/.f64 x a)
(/ (+ x (* 1/2 (* a (pow x 2)))) a)
(/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)))) a)
(/ (+ x (* 1/2 (* a (pow x 2)))) a)
(/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)))) a)
(/ (+ x (* 1/2 (* a (pow x 2)))) a)
(/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)))) a)
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(+ (* 1/2 (pow x 2)) (/ x a))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))
(+ (* 1/2 (pow x 2)) (/ x a))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))
(+ (* 1/2 (pow x 2)) (/ x a))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(+ (* 1/2 (pow x 2)) (/ x a))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))
(+ (* 1/2 (pow x 2)) (/ x a))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))
(+ (* 1/2 (pow x 2)) (/ x a))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 x (.f64 a (+.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 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (/.f64 (.f64 (.f64 x x) #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 (.f64 a a)) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) a) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (/.f64 x (*.f64 a a)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) a) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (/.f64 x (*.f64 a a)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 a (.f64 a a)) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) a) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(.f64 (.f64 a (.f64 a a)) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))) a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(.f64 (.f64 a (.f64 a a)) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))) a))))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)) (/.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) x)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)) (+.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) x) (/.f64 a (*.f64 x x)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)) (+.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) x) (/.f64 a (*.f64 x x)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) x) (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (/.f64 a x)) x) (.f64 #s(literal -1 binary64) (.f64 (.f64 a (*.f64 a a)) #s(literal -1/6 binary64)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (/.f64 a x)) x) (.f64 #s(literal -1 binary64) (.f64 (.f64 a (*.f64 a a)) #s(literal -1/6 binary64)))))
a
(* a (+ 1 (* 1/2 (* a x))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 (.f64 x x) #s(literal 1/6 binary64)))))))
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 (.f64 x x) #s(literal 1/6 binary64)))))))
(* 1/6 (* (pow a 3) (pow x 2)))
(.f64 (.f64 x x) (.f64 (.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(.f64 a (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(.f64 a (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)))
(* 1/6 (* (pow a 3) (pow x 2)))
(.f64 (.f64 x x) (.f64 (.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(.f64 (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) a) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))
(.f64 (.f64 a (.f64 a a)) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))
(.f64 (.f64 a (.f64 a a)) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) a))))
a
(+ a (* 1/2 (* (pow a 2) x)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 (.f64 x x) #s(literal 1/6 binary64)))))))
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 (.f64 x x) #s(literal 1/6 binary64)))))))
(* 1/6 (* (pow a 3) (pow x 2)))
(.f64 (.f64 x x) (.f64 (.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)) (/.f64 (.f64 a (*.f64 a #s(literal 1/2 binary64))) x)))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)) (+.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) x) (/.f64 a (.f64 x x)))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)) (+.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) x) (/.f64 a (.f64 x x)))))
(* 1/6 (* (pow a 3) (pow x 2)))
(.f64 (.f64 x x) (.f64 (.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)) (/.f64 (.f64 a (*.f64 a #s(literal 1/2 binary64))) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 a (*.f64 a #s(literal 1/2 binary64))) (/.f64 a x)) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 a (*.f64 a #s(literal 1/2 binary64))) (/.f64 a x)) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal 1/6 binary64)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
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(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
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(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
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(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
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(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
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(* 1/2 (* a (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x x)))
(* (pow x 2) (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
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(* (pow x 2) (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
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(* (pow x 2) (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
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(* 1/24 (* (pow a 3) (pow x 4)))
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(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
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(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
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(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
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(* 1/24 (* (pow a 3) (pow x 4)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a (*.f64 a a)) #s(literal 1/24 binary64)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
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(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
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(.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/24 binary64))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
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(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/24 binary64))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (+.f64 (.f64 a (.f64 a #s(literal 1/24 binary64))) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (+.f64 (.f64 a (.f64 a #s(literal 1/24 binary64))) (/.f64 (.f64 a #s(literal 1/6 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (+.f64 (.f64 a (.f64 a #s(literal 1/24 binary64))) (/.f64 (.f64 a #s(literal 1/6 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/24 binary64))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (+.f64 (.f64 a (.f64 a #s(literal 1/24 binary64))) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(.f64 x (.f64 x (-.f64 (.f64 a (.f64 a #s(literal 1/24 binary64))) (/.f64 (+.f64 (*.f64 a #s(literal -1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x)) x))))
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(.f64 (.f64 a x) #s(literal 2 binary64))
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(.f64 a (.f64 #s(literal 2 binary64) (+.f64 x (.f64 a (.f64 x x)))))
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(.f64 a (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 a (+.f64 (.f64 (.f64 a (.f64 x (.f64 x x))) #s(literal 4/3 binary64)) (.f64 x (*.f64 x #s(literal 2 binary64)))))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))
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(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(.f64 a (.f64 #s(literal 2 binary64) (+.f64 x (.f64 a (.f64 x x)))))
(* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))
(.f64 x (+.f64 (.f64 a #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 (.f64 a (.f64 x (.f64 a a))) #s(literal 4/3 binary64)) (.f64 a (*.f64 a #s(literal 2 binary64)))))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))
(.f64 x (+.f64 (.f64 a #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 x (.f64 #s(literal 2/3 binary64) (.f64 (.f64 a a) (.f64 a a)))) (.f64 (.f64 a (.f64 a a)) #s(literal 4/3 binary64))))))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))
(.f64 a (+.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/24 binary64)))) (*.f64 x #s(literal 1/6 binary64))))
(* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))
(.f64 a (+.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/24 binary64)))) (*.f64 x #s(literal 1/6 binary64))))
(* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))
(.f64 a (+.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/24 binary64)))) (*.f64 x #s(literal 1/6 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/24 binary64))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 (.f64 a a) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 x a))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 (.f64 a a) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 x a))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 (.f64 a a) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 x a))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/24 binary64))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 (.f64 a a) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 x a))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 (.f64 a a) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 x a))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(.f64 (.f64 a a) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 x a))))
(* 1/6 (* a x))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(.f64 a (+.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/24 binary64)))) (*.f64 x #s(literal 1/6 binary64))))
(* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(.f64 a (+.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/24 binary64)))) (*.f64 x #s(literal 1/6 binary64))))
(* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(.f64 a (+.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/24 binary64)))) (*.f64 x #s(literal 1/6 binary64))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/24 binary64))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (+.f64 (.f64 a (.f64 a #s(literal 1/24 binary64))) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (+.f64 (.f64 a (.f64 a #s(literal 1/24 binary64))) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (+.f64 (.f64 a (.f64 a #s(literal 1/24 binary64))) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 (.f64 x x) (.f64 a (.f64 a #s(literal 1/24 binary64))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (+.f64 (.f64 a (.f64 a #s(literal 1/24 binary64))) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (+.f64 (.f64 a (.f64 a #s(literal 1/24 binary64))) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (+.f64 (.f64 a (.f64 a #s(literal 1/24 binary64))) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* 1/6 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))

eval208.0ms (2.5%)

Compiler: Compiled 44501 to 4034 computations (90.9% saved)

prune196.0ms (2.3%)

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	1666	9	1675
Fresh	2	8	10
Picked	4	1	5
Done	0	4	4
Total	1672	22	1694

Accuracy

100.0%

Counts

1694 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.4%	(/.f64 (-.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 x (.f64 a x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64)))))))) (-.f64 (.f64 a x) (.f64 (.f64 x (.f64 a x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 (.f64 a (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))))) a))))
	99.9%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (fma.f64 (exp.f64 (.f64 a (/.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
▶	99.9%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (.f64 (E.f64) (E.f64)) (/.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)))
	99.9%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (E.f64) (*.f64 a x)) #s(literal 1 binary64)))
✓	99.9%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
▶	63.6%	(+.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/2 binary64)) (*.f64 a x))
▶	65.1%	(+.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))) (*.f64 a x))
	64.0%	(+.f64 (.f64 a (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))))))) x)) (*.f64 a x))
	64.1%	(.f64 (+.f64 x (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64)))))))) a)
	15.8%	(.f64 (.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) a) x)
	65.0%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) a)) a) x)
	63.7%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)
	65.1%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))) a) x)))
✓	63.7%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
▶	39.4%	(.f64 (.f64 a a) (/.f64 x a))
✓	39.4%	(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 x a)))
	20.5%	(.f64 (.f64 a a) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))))
	39.0%	(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (/.f64 (+.f64 (*.f64 a #s(literal -1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x)) x))))))
	60.9%	(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) #s(literal 1/2 binary64))))
▶	21.7%	(.f64 a (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 a (.f64 (.f64 a a) #s(literal 1/24 binary64))) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (*.f64 a a) #s(literal -1/6 binary64))) x))))
✓	63.9%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 844 to 466 computations (44.8% saved)

simplify195.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

4088×	`-lowering-.f32`
4088×	`-lowering-.f64`
1954×	`fma-define`
1772×	`+-lowering-+.f64`
1772×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	354
1	125	325
2	368	317
3	1183	317
4	2771	317
5	5671	317
0	8723	317

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize333.0ms (4%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	96.9%	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (*.f64 a a) #s(literal -1/6 binary64))) x)
✓	accuracy	95.7%	(+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (*.f64 a a) #s(literal -1/6 binary64)))
✓	accuracy	86.0%	(-.f64 (.f64 a (.f64 (.f64 a a) #s(literal 1/24 binary64))) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (.f64 a a) #s(literal -1/6 binary64))) x))
✓	accuracy	45.4%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 a (.f64 (.f64 a a) #s(literal 1/24 binary64))) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (.f64 a a) #s(literal -1/6 binary64))) x)))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))) (*.f64 a x))
✓	accuracy	99.8%	(.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 a x) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))
✓	accuracy	99.1%	(.f64 (.f64 a x) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/2 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 a x))
✓	accuracy	93.7%	(+.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/2 binary64)) (*.f64 a x))
✓	accuracy	91.5%	(.f64 a (.f64 x (*.f64 a x)))
✓	accuracy	100.0%	(/.f64 x a)
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	60.4%	(.f64 (.f64 a a) (/.f64 x a))
✓	accuracy	100.0%	(pow.f64 (.f64 (E.f64) (E.f64)) (/.f64 (.f64 a x) #s(literal 2 binary64)))
✓	accuracy	99.9%	(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
✓	accuracy	99.9%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (.f64 (E.f64) (E.f64)) (/.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)))
✓	accuracy	98.4%	(*.f64 (E.f64) (E.f64))

Results

198.0ms	157×	1	valid
57.0ms	99×	0	valid

Compiler

Compiled 373 to 47 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-mult: 54.0ms (32% of total)

...c/correct-round.rkt:119:19: 23.0ms (13.6% of total)

ival-div: 18.0ms (10.7% of total)

ival-add: 16.0ms (9.5% of total)

compiled-spec: 16.0ms (9.5% of total)

backward-pass: 13.0ms (7.7% of total)

ival-exp: 9.0ms (5.3% of total)

ival-pow: 9.0ms (5.3% of total)

ival-sub: 6.0ms (3.6% of total)

ival-e: 4.0ms (2.4% of total)

const: 2.0ms (1.2% of total)

series26.0ms (0.3%)

Counts

25 → 528

Calls

Call 1

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

Outputs
#<alt (* a x)>
#<alt (* a (+ x (* a (- (pow x 2) (* 1/4 (* (pow x 2) (log (pow (E) 2))))))))>
#<alt (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/16 (* (pow x 3) (pow (log (pow (E) 2)) 2))) (* 1/4 (* x (* (log (pow (E) 2)) (- (pow x 2) (* 1/4 (* (pow x 2) (log (pow (E) 2))))))))))) (pow x 2)) (* 1/4 (* (pow x 2) (log (pow (E) 2))))))))>
#<alt (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/96 (* (pow x 4) (pow (log (pow (E) 2)) 3))) (+ (* 1/16 (* (pow x 2) (* (pow (log (pow (E) 2)) 2) (- (pow x 2) (* 1/4 (* (pow x 2) (log (pow (E) 2)))))))) (* 1/4 (* x (* (log (pow (E) 2)) (- (* 2/3 (pow x 3)) (+ (* 1/16 (* (pow x 3) (pow (log (pow (E) 2)) 2))) (* 1/4 (* x (* (log (pow (E) 2)) (- (pow x 2) (* 1/4 (* (pow x 2) (log (pow (E) 2)))))))))))))))))) (+ (* 1/16 (* (pow x 3) (pow (log (pow (E) 2)) 2))) (* 1/4 (* x (* (log (pow (E) 2)) (- (pow x 2) (* 1/4 (* (pow x 2) (log (pow (E) 2))))))))))) (pow x 2)) (* 1/4 (* (pow x 2) (log (pow (E) 2))))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))>
#<alt (* a x)>
#<alt (* x (+ a (* x (- (pow a 2) (* 1/4 (* (pow a 2) (log (pow (E) 2))))))))>
#<alt (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/16 (* (pow a 3) (pow (log (pow (E) 2)) 2))) (* 1/4 (* a (* (log (pow (E) 2)) (- (pow a 2) (* 1/4 (* (pow a 2) (log (pow (E) 2))))))))))) (pow a 2)) (* 1/4 (* (pow a 2) (log (pow (E) 2))))))))>
#<alt (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/96 (* (pow a 4) (pow (log (pow (E) 2)) 3))) (+ (* 1/16 (* (pow a 2) (* (pow (log (pow (E) 2)) 2) (- (pow a 2) (* 1/4 (* (pow a 2) (log (pow (E) 2)))))))) (* 1/4 (* a (* (log (pow (E) 2)) (- (* 2/3 (pow a 3)) (+ (* 1/16 (* (pow a 3) (pow (log (pow (E) 2)) 2))) (* 1/4 (* a (* (log (pow (E) 2)) (- (pow a 2) (* 1/4 (* (pow a 2) (log (pow (E) 2)))))))))))))))))) (+ (* 1/16 (* (pow a 3) (pow (log (pow (E) 2)) 2))) (* 1/4 (* a (* (log (pow (E) 2)) (- (pow a 2) (* 1/4 (* (pow a 2) (log (pow (E) 2))))))))))) (pow a 2)) (* 1/4 (* (pow a 2) (log (pow (E) 2))))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))>
#<alt (* 2 (* a x))>
#<alt (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))>
#<alt (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))>
#<alt (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (* 2 (* a x))>
#<alt (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))>
#<alt (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))>
#<alt (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (/ x a)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (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 (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))>
#<alt (* (pow a 2) (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))>
#<alt (* (pow a 2) (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))>
#<alt (* (pow x 2) (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))>
#<alt (* (pow x 2) (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* 1/2 (* a x))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* 1/2 (* a x))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 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 (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<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>
#<alt (+ 1 (* 1/2 (* a (* x (log (pow (E) 2))))))>
#<alt (+ 1 (* a (+ (* 1/8 (* a (* (pow x 2) (pow (log (pow (E) 2)) 2)))) (* 1/2 (* x (log (pow (E) 2)))))))>
#<alt (+ 1 (* a (+ (* 1/2 (* x (log (pow (E) 2)))) (* a (+ (* 1/48 (* a (* (pow x 3) (pow (log (pow (E) 2)) 3)))) (* 1/8 (* (pow x 2) (pow (log (pow (E) 2)) 2))))))))>
#<alt (exp (* 1/2 (* a (* x (log (pow (E) 2))))))>
#<alt (exp (* 1/2 (* a (* x (log (pow (E) 2))))))>
#<alt (exp (* 1/2 (* a (* x (log (pow (E) 2))))))>
#<alt (exp (* 1/2 (* a (* x (log (pow (E) 2))))))>
#<alt (exp (* 1/2 (* a (* x (log (pow (E) 2))))))>
#<alt (exp (* 1/2 (* a (* x (log (pow (E) 2))))))>
#<alt (exp (* 1/2 (* a (* x (log (pow (E) 2))))))>
#<alt (exp (* 1/2 (* a (* x (log (pow (E) 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a (* x (log (pow (E) 2))))))>
#<alt (+ 1 (* x (+ (* 1/8 (* (pow a 2) (* x (pow (log (pow (E) 2)) 2)))) (* 1/2 (* a (log (pow (E) 2)))))))>
#<alt (+ 1 (* x (+ (* 1/2 (* a (log (pow (E) 2)))) (* x (+ (* 1/48 (* (pow a 3) (* x (pow (log (pow (E) 2)) 3)))) (* 1/8 (* (pow a 2) (pow (log (pow (E) 2)) 2))))))))>
#<alt (exp (* 1/2 (* a (* x (log (pow (E) 2))))))>
#<alt (exp (* 1/2 (* a (* x (log (pow (E) 2))))))>
#<alt (exp (* 1/2 (* a (* x (log (pow (E) 2))))))>
#<alt (exp (* 1/2 (* a (* x (log (pow (E) 2))))))>
#<alt (exp (* 1/2 (* a (* x (log (pow (E) 2))))))>
#<alt (exp (* 1/2 (* a (* x (log (pow (E) 2))))))>
#<alt (exp (* 1/2 (* a (* x (log (pow (E) 2))))))>
#<alt (exp (* 1/2 (* a (* x (log (pow (E) 2))))))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (/ 1 (pow x 3))>
#<alt (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3)))>
#<alt (+ (* a (+ (* 1/6 (/ a x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (pow x 3)))>
#<alt (+ (* a (+ (* a (+ (* 1/24 a) (* 1/6 (/ 1 x)))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (pow x 3)))>
#<alt (* 1/24 (pow a 3))>
#<alt (* (pow a 3) (+ 1/24 (* 1/6 (/ 1 (* a x)))))>
#<alt (* (pow a 3) (+ 1/24 (+ (/ 1/6 (* a x)) (/ 1/2 (* (pow a 2) (pow x 2))))))>
#<alt (* (pow a 3) (+ 1/24 (+ (/ 1/6 (* a x)) (+ (* 1/2 (/ 1 (* (pow a 2) (pow x 2)))) (/ 1 (* (pow a 3) (pow x 3)))))))>
#<alt (* 1/24 (pow a 3))>
#<alt (* (pow a 3) (+ 1/24 (* 1/6 (/ 1 (* a x)))))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* a (pow x 2))))) a)) 1/24)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ (/ 1/2 (* a (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (* (pow a 2) (pow x 3))))) a)) 1/24)))>
#<alt (/ 1 (pow x 3))>
#<alt (/ (+ 1 (* 1/2 (* a x))) (pow x 3))>
#<alt (/ (+ 1 (* x (- (* 1/6 (* (pow a 2) x)) (* -1/2 a)))) (pow x 3))>
#<alt (/ (+ 1 (* x (- (* x (- (* 1/24 (* (pow a 3) x)) (* -1/6 (pow a 2)))) (* -1/2 a)))) (pow x 3))>
#<alt (* 1/24 (pow a 3))>
#<alt (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x)))>
#<alt (- (+ (* 1/24 (pow a 3)) (* 1/2 (/ a (pow x 2)))) (* -1/6 (/ (pow a 2) x)))>
#<alt (- (+ (* 1/24 (pow a 3)) (/ 1 (pow x 3))) (+ (* -1/2 (/ a (pow x 2))) (* -1/6 (/ (pow a 2) x))))>
#<alt (* 1/24 (pow a 3))>
#<alt (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x)))>
#<alt (+ (* -1 (/ (- (* -1/2 (/ a x)) (* 1/6 (pow a 2))) x)) (* 1/24 (pow a 3)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (/ 1 x) (* -1/2 a)) x)) (* 1/6 (pow a 2))) x)) (* 1/24 (pow a 3)))>
#<alt (/ -1 (pow x 2))>
#<alt (- (* -1/2 (/ a x)) (/ 1 (pow x 2)))>
#<alt (- (* a (- (* -1/6 a) (* 1/2 (/ 1 x)))) (/ 1 (pow x 2)))>
#<alt (- (* a (- (* -1/6 a) (* 1/2 (/ 1 x)))) (/ 1 (pow x 2)))>
#<alt (* -1/6 (pow a 2))>
#<alt (* -1 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 (* a x))))))>
#<alt (* (pow a 2) (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (/ 1 (* a (pow x 2)))) a)) 1/6))>
#<alt (* (pow a 2) (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (/ 1 (* a (pow x 2)))) a)) 1/6))>
#<alt (* -1/6 (pow a 2))>
#<alt (* -1 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 (* a x))))))>
#<alt (* (pow a 2) (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (/ 1 (* a (pow x 2)))) a)) 1/6))>
#<alt (* (pow a 2) (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (/ 1 (* a (pow x 2)))) a)) 1/6))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* -1/2 (* a x)) 1) (pow x 2))>
#<alt (/ (- (* x (+ (* -1/2 a) (* -1/6 (* (pow a 2) x)))) 1) (pow x 2))>
#<alt (/ (- (* x (+ (* -1/2 a) (* -1/6 (* (pow a 2) x)))) 1) (pow x 2))>
#<alt (* -1/6 (pow a 2))>
#<alt (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))>
#<alt (- (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) (/ 1 (pow x 2)))>
#<alt (- (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) (/ 1 (pow x 2)))>
#<alt (* -1/6 (pow a 2))>
#<alt (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))>
#<alt (/ -1 (pow x 3))>
#<alt (- (* -1/2 (/ a (pow x 2))) (/ 1 (pow x 3)))>
#<alt (- (* a (- (* -1/6 (/ a x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (pow x 3)))>
#<alt (- (* a (- (* -1/6 (/ a x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (pow x 3)))>
#<alt (* -1/6 (/ (pow a 2) x))>
#<alt (* -1 (* (pow a 2) (+ (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* a (pow x 2)))))))>
#<alt (* (pow a 2) (- (* -1 (/ (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* a (pow x 3)))) a)) (* 1/6 (/ 1 x))))>
#<alt (* (pow a 2) (- (* -1 (/ (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* a (pow x 3)))) a)) (* 1/6 (/ 1 x))))>
#<alt (* -1/6 (/ (pow a 2) x))>
#<alt (* -1 (* (pow a 2) (+ (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* a (pow x 2)))))))>
#<alt (* (pow a 2) (- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (* 1/2 (/ 1 (pow x 2)))) a)) (* 1/6 (/ 1 x))))>
#<alt (* (pow a 2) (- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (* 1/2 (/ 1 (pow x 2)))) a)) (* 1/6 (/ 1 x))))>
#<alt (/ -1 (pow x 3))>
#<alt (/ (- (* -1/2 (* a x)) 1) (pow x 3))>
#<alt (/ (- (* x (+ (* -1/2 a) (* -1/6 (* (pow a 2) x)))) 1) (pow x 3))>
#<alt (/ (- (* x (+ (* -1/2 a) (* -1/6 (* (pow a 2) x)))) 1) (pow x 3))>
#<alt (* -1/6 (/ (pow a 2) x))>
#<alt (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)>
#<alt (/ (- (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) (/ 1 (pow x 2))) x)>
#<alt (/ (- (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) (/ 1 (pow x 2))) x)>
#<alt (* -1/6 (/ (pow a 2) x))>
#<alt (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x))>

Calls

132 calls:

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

rewrite338.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

4464×	`-lowering-.f32`
4464×	`-lowering-.f64`
2528×	`pow-lowering-pow.f64`
2528×	`pow-lowering-pow.f32`
2196×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	267
1	286	234
2	2480	213
0	8869	213

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 559

Calls

Call 1

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

Outputs
(+.f64 (pow.f64 (E.f64) (*.f64 a x)) #s(literal -1 binary64))
(+.f64 (/.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 a x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 a x))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (E.f64) (.f64 a x)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (E.f64) (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 a x)))))
(fma.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 a x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 a x))))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (E.f64) (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (/.f64 (.f64 a x) #s(literal 2 binary64))) (exp.f64 (/.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a (.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64))))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 a x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 a x))))))
(fma.f64 (/.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))) (+.f64 (pow.f64 (E.f64) (.f64 a x)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 a x))))))
(expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 a x))))
(neg.f64 (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 a x))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 a x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (E.f64) (*.f64 a x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (E.f64) (*.f64 a x)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 a x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (E.f64) (*.f64 a x)) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 a (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 a x))) (+.f64 (exp.f64 (.f64 (.f64 a (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (exp.f64 (.f64 (.f64 a (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 a x))) (+.f64 (exp.f64 (.f64 a (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 a x)))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 a x))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 a x))) #s(literal 2 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (.f64 a (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 a x)))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 a (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 a x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 a x))))))
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(.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (.f64 (.f64 (.f64 a a) #s(literal -1/6 binary64)) (-.f64 (.f64 (.f64 a a) #s(literal -1/6 binary64)) (/.f64 (+.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 #s(literal 1/6 binary64) (.f64 a a)))))
(exp.f64 (.f64 (log.f64 (/.f64 x (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (.f64 a a) #s(literal -1/6 binary64))))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (*.f64 a a) #s(literal -1/6 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (*.f64 a a) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (*.f64 a a) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (*.f64 a a) #s(literal -1/6 binary64))))))
(/.f64 (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (*.f64 a a) #s(literal -1/6 binary64))) x)
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (*.f64 a a) #s(literal -1/6 binary64)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/216 binary64)))) (.f64 x (+.f64 (/.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (.f64 (.f64 (.f64 a a) #s(literal -1/6 binary64)) (-.f64 (.f64 (.f64 a a) #s(literal -1/6 binary64)) (/.f64 (+.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))))
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64))) (.f64 x (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 #s(literal 1/6 binary64) (.f64 a a)))))
(/.f64 (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/216 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (.f64 (.f64 (.f64 a a) #s(literal -1/6 binary64)) (-.f64 (.f64 (.f64 a a) #s(literal -1/6 binary64)) (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x)))) x))
(/.f64 (.f64 (-.f64 (/.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 #s(literal 1/6 binary64) (*.f64 a a))) x))
(/.f64 (.f64 (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (.f64 a a) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (*.f64 a a) #s(literal -1/6 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (.f64 (.f64 (.f64 a a) #s(literal -1/6 binary64)) (-.f64 (.f64 (.f64 a a) #s(literal -1/6 binary64)) (/.f64 (+.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x)))))
(/.f64 (.f64 (-.f64 (/.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 #s(literal 1/6 binary64) (.f64 a a))))
(pow.f64 (/.f64 x (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (*.f64 a a) #s(literal -1/6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (*.f64 a a) #s(literal -1/6 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (.f64 a a) #s(literal -1/6 binary64))) x))
(.f64 (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (.f64 a a) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (.f64 a a) #s(literal -1/6 binary64)))) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (.f64 a a) #s(literal -1/6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (.f64 a a) #s(literal -1/6 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (+.f64 (.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/216 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (.f64 (.f64 (.f64 a a) #s(literal -1/6 binary64)) (-.f64 (.f64 (.f64 a a) #s(literal -1/6 binary64)) (/.f64 (+.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))))
(.f64 (pow.f64 (/.f64 x (-.f64 (/.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 #s(literal 1/6 binary64) (.f64 a a)))))

simplify317.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

5486×	`-lowering-.f32`
5486×	`-lowering-.f64`
2246×	`+-lowering-+.f64`
2246×	`+-lowering-+.f32`
1792×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	548	5552
1	1955	5350
2	6832	5344
0	8251	5344

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* a (- (pow x 2) (* 1/4 (* (pow x 2) (log (pow (E) 2))))))))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/16 (* (pow x 3) (pow (log (pow (E) 2)) 2))) (* 1/4 (* x (* (log (pow (E) 2)) (- (pow x 2) (* 1/4 (* (pow x 2) (log (pow (E) 2))))))))))) (pow x 2)) (* 1/4 (* (pow x 2) (log (pow (E) 2))))))))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/96 (* (pow x 4) (pow (log (pow (E) 2)) 3))) (+ (* 1/16 (* (pow x 2) (* (pow (log (pow (E) 2)) 2) (- (pow x 2) (* 1/4 (* (pow x 2) (log (pow (E) 2)))))))) (* 1/4 (* x (* (log (pow (E) 2)) (- (* 2/3 (pow x 3)) (+ (* 1/16 (* (pow x 3) (pow (log (pow (E) 2)) 2))) (* 1/4 (* x (* (log (pow (E) 2)) (- (pow x 2) (* 1/4 (* (pow x 2) (log (pow (E) 2)))))))))))))))))) (+ (* 1/16 (* (pow x 3) (pow (log (pow (E) 2)) 2))) (* 1/4 (* x (* (log (pow (E) 2)) (- (pow x 2) (* 1/4 (* (pow x 2) (log (pow (E) 2))))))))))) (pow x 2)) (* 1/4 (* (pow x 2) (log (pow (E) 2))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))
(* a x)
(* x (+ a (* x (- (pow a 2) (* 1/4 (* (pow a 2) (log (pow (E) 2))))))))
(* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/16 (* (pow a 3) (pow (log (pow (E) 2)) 2))) (* 1/4 (* a (* (log (pow (E) 2)) (- (pow a 2) (* 1/4 (* (pow a 2) (log (pow (E) 2))))))))))) (pow a 2)) (* 1/4 (* (pow a 2) (log (pow (E) 2))))))))
(* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/96 (* (pow a 4) (pow (log (pow (E) 2)) 3))) (+ (* 1/16 (* (pow a 2) (* (pow (log (pow (E) 2)) 2) (- (pow a 2) (* 1/4 (* (pow a 2) (log (pow (E) 2)))))))) (* 1/4 (* a (* (log (pow (E) 2)) (- (* 2/3 (pow a 3)) (+ (* 1/16 (* (pow a 3) (pow (log (pow (E) 2)) 2))) (* 1/4 (* a (* (log (pow (E) 2)) (- (pow a 2) (* 1/4 (* (pow a 2) (log (pow (E) 2)))))))))))))))))) (+ (* 1/16 (* (pow a 3) (pow (log (pow (E) 2)) 2))) (* 1/4 (* a (* (log (pow (E) 2)) (- (pow a 2) (* 1/4 (* (pow a 2) (log (pow (E) 2))))))))))) (pow a 2)) (* 1/4 (* (pow a 2) (log (pow (E) 2))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* 1/2 (* a (* x (log (pow (E) 2))))))))
(* 2 (* a x))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(* 2 (* a x))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 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)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(/ 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)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (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))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))
(* (pow a 2) (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))
(* (pow a 2) (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))
(* (pow x 2) (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))
(* (pow x 2) (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* 1/2 (* a x))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* 1/2 (* a x))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 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)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(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
(+ 1 (* 1/2 (* a (* x (log (pow (E) 2))))))
(+ 1 (* a (+ (* 1/8 (* a (* (pow x 2) (pow (log (pow (E) 2)) 2)))) (* 1/2 (* x (log (pow (E) 2)))))))
(+ 1 (* a (+ (* 1/2 (* x (log (pow (E) 2)))) (* a (+ (* 1/48 (* a (* (pow x 3) (pow (log (pow (E) 2)) 3)))) (* 1/8 (* (pow x 2) (pow (log (pow (E) 2)) 2))))))))
(exp (* 1/2 (* a (* x (log (pow (E) 2))))))
(exp (* 1/2 (* a (* x (log (pow (E) 2))))))
(exp (* 1/2 (* a (* x (log (pow (E) 2))))))
(exp (* 1/2 (* a (* x (log (pow (E) 2))))))
(exp (* 1/2 (* a (* x (log (pow (E) 2))))))
(exp (* 1/2 (* a (* x (log (pow (E) 2))))))
(exp (* 1/2 (* a (* x (log (pow (E) 2))))))
(exp (* 1/2 (* a (* x (log (pow (E) 2))))))
1
(+ 1 (* 1/2 (* a (* x (log (pow (E) 2))))))
(+ 1 (* x (+ (* 1/8 (* (pow a 2) (* x (pow (log (pow (E) 2)) 2)))) (* 1/2 (* a (log (pow (E) 2)))))))
(+ 1 (* x (+ (* 1/2 (* a (log (pow (E) 2)))) (* x (+ (* 1/48 (* (pow a 3) (* x (pow (log (pow (E) 2)) 3)))) (* 1/8 (* (pow a 2) (pow (log (pow (E) 2)) 2))))))))
(exp (* 1/2 (* a (* x (log (pow (E) 2))))))
(exp (* 1/2 (* a (* x (log (pow (E) 2))))))
(exp (* 1/2 (* a (* x (log (pow (E) 2))))))
(exp (* 1/2 (* a (* x (log (pow (E) 2))))))
(exp (* 1/2 (* a (* x (log (pow (E) 2))))))
(exp (* 1/2 (* a (* x (log (pow (E) 2))))))
(exp (* 1/2 (* a (* x (log (pow (E) 2))))))
(exp (* 1/2 (* a (* x (log (pow (E) 2))))))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(/ 1 (pow x 3))
(+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3)))
(+ (* a (+ (* 1/6 (/ a x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (pow x 3)))
(+ (* a (+ (* a (+ (* 1/24 a) (* 1/6 (/ 1 x)))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (pow x 3)))
(* 1/24 (pow a 3))
(* (pow a 3) (+ 1/24 (* 1/6 (/ 1 (* a x)))))
(* (pow a 3) (+ 1/24 (+ (/ 1/6 (* a x)) (/ 1/2 (* (pow a 2) (pow x 2))))))
(* (pow a 3) (+ 1/24 (+ (/ 1/6 (* a x)) (+ (* 1/2 (/ 1 (* (pow a 2) (pow x 2)))) (/ 1 (* (pow a 3) (pow x 3)))))))
(* 1/24 (pow a 3))
(* (pow a 3) (+ 1/24 (* 1/6 (/ 1 (* a x)))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* a (pow x 2))))) a)) 1/24)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ (/ 1/2 (* a (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (* (pow a 2) (pow x 3))))) a)) 1/24)))
(/ 1 (pow x 3))
(/ (+ 1 (* 1/2 (* a x))) (pow x 3))
(/ (+ 1 (* x (- (* 1/6 (* (pow a 2) x)) (* -1/2 a)))) (pow x 3))
(/ (+ 1 (* x (- (* x (- (* 1/24 (* (pow a 3) x)) (* -1/6 (pow a 2)))) (* -1/2 a)))) (pow x 3))
(* 1/24 (pow a 3))
(+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x)))
(- (+ (* 1/24 (pow a 3)) (* 1/2 (/ a (pow x 2)))) (* -1/6 (/ (pow a 2) x)))
(- (+ (* 1/24 (pow a 3)) (/ 1 (pow x 3))) (+ (* -1/2 (/ a (pow x 2))) (* -1/6 (/ (pow a 2) x))))
(* 1/24 (pow a 3))
(+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x)))
(+ (* -1 (/ (- (* -1/2 (/ a x)) (* 1/6 (pow a 2))) x)) (* 1/24 (pow a 3)))
(+ (* -1 (/ (- (* -1 (/ (- (/ 1 x) (* -1/2 a)) x)) (* 1/6 (pow a 2))) x)) (* 1/24 (pow a 3)))
(/ -1 (pow x 2))
(- (* -1/2 (/ a x)) (/ 1 (pow x 2)))
(- (* a (- (* -1/6 a) (* 1/2 (/ 1 x)))) (/ 1 (pow x 2)))
(- (* a (- (* -1/6 a) (* 1/2 (/ 1 x)))) (/ 1 (pow x 2)))
(* -1/6 (pow a 2))
(* -1 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 (* a x))))))
(* (pow a 2) (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (/ 1 (* a (pow x 2)))) a)) 1/6))
(* (pow a 2) (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (/ 1 (* a (pow x 2)))) a)) 1/6))
(* -1/6 (pow a 2))
(* -1 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 (* a x))))))
(* (pow a 2) (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (/ 1 (* a (pow x 2)))) a)) 1/6))
(* (pow a 2) (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (/ 1 (* a (pow x 2)))) a)) 1/6))
(/ -1 (pow x 2))
(/ (- (* -1/2 (* a x)) 1) (pow x 2))
(/ (- (* x (+ (* -1/2 a) (* -1/6 (* (pow a 2) x)))) 1) (pow x 2))
(/ (- (* x (+ (* -1/2 a) (* -1/6 (* (pow a 2) x)))) 1) (pow x 2))
(* -1/6 (pow a 2))
(+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))
(- (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) (/ 1 (pow x 2)))
(- (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) (/ 1 (pow x 2)))
(* -1/6 (pow a 2))
(+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))
(+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))
(+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))
(/ -1 (pow x 3))
(- (* -1/2 (/ a (pow x 2))) (/ 1 (pow x 3)))
(- (* a (- (* -1/6 (/ a x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (pow x 3)))
(- (* a (- (* -1/6 (/ a x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (pow x 3)))
(* -1/6 (/ (pow a 2) x))
(* -1 (* (pow a 2) (+ (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* a (pow x 2)))))))
(* (pow a 2) (- (* -1 (/ (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* a (pow x 3)))) a)) (* 1/6 (/ 1 x))))
(* (pow a 2) (- (* -1 (/ (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* a (pow x 3)))) a)) (* 1/6 (/ 1 x))))
(* -1/6 (/ (pow a 2) x))
(* -1 (* (pow a 2) (+ (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* a (pow x 2)))))))
(* (pow a 2) (- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (* 1/2 (/ 1 (pow x 2)))) a)) (* 1/6 (/ 1 x))))
(* (pow a 2) (- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (* 1/2 (/ 1 (pow x 2)))) a)) (* 1/6 (/ 1 x))))
(/ -1 (pow x 3))
(/ (- (* -1/2 (* a x)) 1) (pow x 3))
(/ (- (* x (+ (* -1/2 a) (* -1/6 (* (pow a 2) x)))) 1) (pow x 3))
(/ (- (* x (+ (* -1/2 a) (* -1/6 (* (pow a 2) x)))) 1) (pow x 3))
(* -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))) (/ 1 (pow x 2))) x)
(/ (- (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) (/ 1 (pow x 2))) x)
(* -1/6 (/ (pow a 2) x))
(* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x))

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (pow x 2) (* 1/4 (* (pow x 2) (log (pow (E) 2))))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 x x) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (log.f64 (*.f64 (E.f64) (E.f64))))))))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/16 (* (pow x 3) (pow (log (pow (E) 2)) 2))) (* 1/4 (* x (* (log (pow (E) 2)) (- (pow x 2) (* 1/4 (* (pow x 2) (log (pow (E) 2))))))))))) (pow x 2)) (* 1/4 (* (pow x 2) (log (pow (E) 2))))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (+.f64 (.f64 x x) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (log.f64 (.f64 (E.f64) (E.f64))))) (.f64 a (-.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/3 binary64))) (.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) (log.f64 (.f64 (E.f64) (E.f64)))) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (log.f64 (.f64 (E.f64) (E.f64))))))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x x)) (pow.f64 (log.f64 (*.f64 (E.f64) (E.f64))) #s(literal 2 binary64))))))))))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/96 (* (pow x 4) (pow (log (pow (E) 2)) 3))) (+ (* 1/16 (* (pow x 2) (* (pow (log (pow (E) 2)) 2) (- (pow x 2) (* 1/4 (* (pow x 2) (log (pow (E) 2)))))))) (* 1/4 (* x (* (log (pow (E) 2)) (- (* 2/3 (pow x 3)) (+ (* 1/16 (* (pow x 3) (pow (log (pow (E) 2)) 2))) (* 1/4 (* x (* (log (pow (E) 2)) (- (pow x 2) (* 1/4 (* (pow x 2) (log (pow (E) 2)))))))))))))))))) (+ (* 1/16 (* (pow x 3) (pow (log (pow (E) 2)) 2))) (* 1/4 (* x (* (log (pow (E) 2)) (- (pow x 2) (* 1/4 (* (pow x 2) (log (pow (E) 2))))))))))) (pow x 2)) (* 1/4 (* (pow x 2) (log (pow (E) 2))))))))
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(/.f64 (+.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x))
(/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x))
(/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x)) (neg.f64 x))

eval198.0ms (2.4%)

Compiler: Compiled 35169 to 2776 computations (92.1% saved)

prune139.0ms (1.7%)

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	1370	14	1384
Fresh	3	9	12
Picked	2	3	5
Done	1	4	5
Total	1376	30	1406

Accuracy

100.0%

Counts

1406 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.4%	(/.f64 (-.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 x (.f64 a x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64)))))))) (-.f64 (.f64 a x) (.f64 (.f64 x (.f64 a x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 (.f64 a (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))))) a))))
	40.2%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 a a)) (-.f64 #s(literal 0 binary64) a))
	54.5%	(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 a (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (+.f64 (pow.f64 (.f64 (E.f64) (E.f64)) (/.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)))
	48.6%	(/.f64 (.f64 a (.f64 a x)) a)
	38.8%	(/.f64 (*.f64 a a) (/.f64 a x))
	99.9%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)))
	99.9%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (E.f64) (*.f64 a x)) #s(literal 1 binary64)))
✓	99.9%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
	48.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 a (.f64 a x))))
✓	63.6%	(+.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/2 binary64)) (*.f64 a x))
	64.0%	(+.f64 (.f64 a (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))))))) x)) (*.f64 a x))
	47.9%	(*.f64 (/.f64 a (/.f64 a x)) a)
	99.9%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 a x)))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))
	65.1%	(.f64 (+.f64 (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (.f64 a x))
	64.1%	(.f64 (+.f64 x (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64)))))))) a)
	15.8%	(.f64 (.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) a) x)
	65.0%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) a)) a) x)
	63.7%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)
	48.6%	(.f64 (.f64 a (*.f64 a x)) (/.f64 #s(literal 1 binary64) a))
✓	39.4%	(.f64 (.f64 a a) (/.f64 x a))
✓	39.4%	(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 x a)))
	39.4%	(.f64 (.f64 a a) (*.f64 (/.f64 #s(literal 1 binary64) a) x))
	20.5%	(.f64 (.f64 a a) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))))
	21.5%	(.f64 a (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (*.f64 a a) #s(literal -1/6 binary64))) x)))))
	65.0%	(.f64 a (+.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))) x))
	63.6%	(.f64 a (+.f64 (.f64 x (/.f64 (*.f64 a x) #s(literal 2 binary64))) x))
	39.0%	(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (/.f64 (+.f64 (*.f64 a #s(literal -1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x)) x))))))
✓	21.7%	(.f64 a (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 a (.f64 (.f64 a a) #s(literal 1/24 binary64))) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (*.f64 a a) #s(literal -1/6 binary64))) x))))
✓	63.9%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 1471 to 542 computations (63.2% saved)

regimes110.0ms (1.3%)

Counts

46 → 1

Calls

Call 1

Inputs
(*.f64 a x)
(.f64 (.f64 a a) (/.f64 x a))
(*.f64 (/.f64 a (/.f64 a x)) a)
(/.f64 (*.f64 a a) (/.f64 a x))
(/.f64 (.f64 a (.f64 a x)) a)
(.f64 (.f64 a a) (*.f64 (/.f64 #s(literal 1 binary64) a) x))
(.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 a (*.f64 a x)) (/.f64 #s(literal 1 binary64) a))
(.f64 (.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) a) x)
(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 a (.f64 a x))))
(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) #s(literal 1/2 binary64))))
(.f64 a (+.f64 (.f64 x (/.f64 (*.f64 a x) #s(literal 2 binary64))) x))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 a a)) (-.f64 #s(literal 0 binary64) a))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 x a)))
(+.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/2 binary64)) (*.f64 a x))
(.f64 (.f64 a a) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))))
(.f64 a (+.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))) x))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))) a) x)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))) a) x)
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) a)) a) x)
(.f64 (+.f64 (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (.f64 a x))
(+.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))) (*.f64 a x))
(.f64 (+.f64 x (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64)))))))) a)
(.f64 (+.f64 x (.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (*.f64 a x)) #s(literal 1/24 binary64))))))) a)
(+.f64 (.f64 a (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))))))) x)) (*.f64 a x))
(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64)))))))
(+.f64 (.f64 a (.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64))))))) (.f64 a x))
(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) (/.f64 (+.f64 (*.f64 a #s(literal -1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x)) x))))))
(.f64 a (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 a (.f64 (.f64 a a) #s(literal 1/24 binary64))) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (*.f64 a a) #s(literal -1/6 binary64))) x))))
(.f64 a (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) (.f64 (*.f64 a a) #s(literal -1/6 binary64))) x)))))
(/.f64 (-.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 x (.f64 a x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64)))))))) (-.f64 (.f64 a x) (.f64 (.f64 x (.f64 a x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 (.f64 a (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))))) a))))
(/.f64 (-.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 (.f64 a (.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64))))))) (.f64 a (.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64))))))))) (-.f64 (.f64 a x) (.f64 a (.f64 (.f64 x (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 a x)) #s(literal 1/24 binary64)))))))))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (E.f64) (*.f64 a x)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 a x)))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (.f64 (E.f64) (E.f64)) (/.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 a x)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 a (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (+.f64 (pow.f64 (.f64 (E.f64) (E.f64)) (/.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (fma.f64 (exp.f64 (.f64 a (/.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))))) (.f64 (/.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (exp.f64 (.f64 a (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))

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

Calls

5 calls:

41.0ms	(exp.f64 (*.f64 a x))
29.0ms	a
12.0ms	x
12.0ms	(*.f64 a x)
11.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

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

Compiler

Compiled 25 to 17 computations (32% saved)

regimes32.0ms (0.4%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.1%	1	`a`
65.1%	1	`x`
65.1%	1	`(*.f64 a x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes25.0ms (0.3%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.1%	1	`a`
65.1%	1	`(*.f64 a x)`
65.1%	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes19.0ms (0.2%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
6.0ms	a
5.0ms	(*.f64 a x)

Results

Accuracy	Segments	Branch
65.0%	1	`(*.f64 a x)`
65.0%	1	`a`
65.0%	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes18.0ms (0.2%)

Accuracy

Total -39.5b remaining (-170.6%)

Threshold costs -39.5b (-170.6%)

Counts

18 → 1

Calls

Call 1

Inputs
(*.f64 a x)
(.f64 (.f64 a a) (/.f64 x a))
(*.f64 (/.f64 a (/.f64 a x)) a)
(/.f64 (*.f64 a a) (/.f64 a x))
(/.f64 (.f64 a (.f64 a x)) a)
(.f64 (.f64 a a) (*.f64 (/.f64 #s(literal 1 binary64) a) x))
(.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 a (*.f64 a x)) (/.f64 #s(literal 1 binary64) a))
(.f64 (.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) a) x)
(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 a (.f64 a x))))
(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) #s(literal 1/2 binary64))))
(.f64 a (+.f64 (.f64 x (/.f64 (*.f64 a x) #s(literal 2 binary64))) x))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 a a)) (-.f64 #s(literal 0 binary64) a))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 x a)))
(+.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/2 binary64)) (*.f64 a x))
(.f64 (.f64 a a) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))))

Outputs
(*.f64 a x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
63.9%	1	`a`
63.9%	1	`(*.f64 a x)`
63.9%	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
10×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	60
1	41	60

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness990.0ms (11.8%)

Rules

4464×	`-lowering-.f32`
4464×	`-lowering-.f64`
4442×	`fma-define`
3786×	`-lowering-.f32`
3786×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	250
1	192	244
2	602	242
3	1415	240
4	2842	240
5	3158	240
6	3365	240
7	3449	240
8	3462	240
9	3464	240
10	4660	240
11	4660	240
12	4660	240
13	5293	236
14	5759	236
15	6785	236
0	8246	236
0	6	4
1	15	4
2	18	4
0	18	4
0	33	217
1	199	195
2	1939	185
0	8396	185
0	47	267
1	286	234
2	2480	213
0	8869	213

Stop Event

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

Compiler

Compiled 158 to 76 computations (51.9% saved)

preprocess56.0ms (0.7%)

Remove: (sort a x)
Compiler: Compiled 200 to 96 computations (52% saved)

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

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

analyze27.0ms (0.3%)

sample1.7s (20.1%)

preprocess20.0ms (0.2%)

explain107.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize59.0ms (0.7%)

series3.0ms (0%)

rewrite299.0ms (3.6%)

simplify247.0ms (2.9%)

eval36.0ms (0.4%)

prune74.0ms (0.9%)

simplify146.0ms (1.7%)

localize236.0ms (2.8%)

series41.0ms (0.5%)

rewrite343.0ms (4.1%)

simplify264.0ms (3.1%)

eval178.0ms (2.1%)

prune155.0ms (1.8%)

simplify203.0ms (2.4%)

localize286.0ms (3.4%)

series27.0ms (0.3%)

rewrite411.0ms (4.9%)

simplify340.0ms (4%)

eval208.0ms (2.5%)

prune196.0ms (2.3%)

simplify195.0ms (2.3%)

localize333.0ms (4%)

series26.0ms (0.3%)

rewrite338.0ms (4%)

simplify317.0ms (3.8%)

eval198.0ms (2.4%)

prune139.0ms (1.7%)

regimes110.0ms (1.3%)

regimes32.0ms (0.4%)

regimes25.0ms (0.3%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

simplify8.0ms (0.1%)

soundness990.0ms (11.8%)

preprocess56.0ms (0.7%)

end0.0ms (0%)

Profiling

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