Metrics for expax (section 3.5)

analyze81.0ms (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: 23.0ms

ival-exp: 6.0ms (26.6% of total)

ival-mult: 6.0ms (26.6% of total)

ival-sub: 5.0ms (22.2% of total)

ival->: 4.0ms (17.7% of total)

const: 1.0ms (4.4% of total)

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

sample2.8s (12.1%)

Results

1.9s	5385×	1	valid
327.0ms	2871×	0	valid
38.0ms	327×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-exp: 536.0ms (33% of total)

ival->: 408.0ms (25.1% of total)

ival-mult: 305.0ms (18.8% of total)

ival-sub: 189.0ms (11.6% of total)

backward-pass: 158.0ms (9.7% of total)

const: 28.0ms (1.7% of total)

Bogosity

preprocess45.0ms (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)

explain228.0ms (1%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
127	-	0	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
2	-	1	(3.1456918774921696e-6 23146841.310975794)	`(exp.f64 (*.f64 a x))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 a x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`a`

Results

122.0ms	324×	1	valid
28.0ms	188×	0	valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 31.0ms (41.8% of total)

ival-exp: 23.0ms (31% of total)

ival-sub: 10.0ms (13.5% of total)

backward-pass: 8.0ms (10.8% of total)

const: 2.0ms (2.7% of total)

eval1.0ms (0%)

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

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.9%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
▶	99.9%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(exp.f64 (*.f64 a x))
✓	cost-diff	128	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓	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	23
1	15	23
2	18	23
0	18	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize139.0ms (0.6%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(exp.f64 (*.f64 a x))
✓	accuracy	54.9%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(expm1.f64 (*.f64 a x))

Results

88.0ms	162×	1	valid
21.0ms	94×	0	valid

Compiler

Compiled 28 to 8 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-exp: 23.0ms (32.5% of total)

compiled-spec: 22.0ms (31.1% of total)

ival-sub: 10.0ms (14.1% of total)

ival-mult: 8.0ms (11.3% of total)

backward-pass: 7.0ms (9.9% of total)

const: 1.0ms (1.4% of total)

series10.0ms (0%)

Counts

4 → 96

Calls

Call 1

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

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(* a x)
1.0ms	a	@	0	(- (exp (* a x)) 1)
1.0ms	x	@	0	(- (exp (* a x)) 1)
1.0ms	a	@	0	(* a x)
1.0ms	x	@	inf	(* a x)

rewrite885.0ms (3.8%)

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	15
1	28	15
2	154	15
3	1408	15
0	8320	15

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 491

Calls

Call 1

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

simplify857.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

8366×	`fma-define`
7692×	`fma-lowering-fma.f32`
7692×	`fma-lowering-fma.f64`
2568×	`-lowering-.f32`
2568×	`-lowering-.f64`

Iterations

Useful iterations: 11 (0.0ms)

Iter	Nodes	Cost
0	63	570
1	202	548
2	654	542
3	1551	542
4	2281	542
5	2638	542
6	2866	542
7	2978	542
8	2992	542
9	2995	542
10	2995	536
11	5565	528
12	6810	528
0	8164	528

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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)
(* 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)
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))

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

eval222.0ms (1%)

Compiler: Compiled 22508 to 866 computations (96.2% saved)

prune118.0ms (0.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	622	7	629
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	622	9	631

Accuracy

100.0%

Counts

631 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.7%	(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	54.9%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
▶	18.2%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶	99.9%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))
	65.6%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))))))
▶	64.3%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
	59.6%	(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64)))))))
▶	64.9%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 208 to 132 computations (36.5% saved)

simplify446.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 a x) #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(+.f64 (*.f64 a x) #s(literal 1 binary64))
✓	cost-diff	256	(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(exp.f64 (*.f64 a x))
✓	cost-diff	0	(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
✓	cost-diff	7040	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))

Rules

2410×	`-lowering-.f32`
2410×	`-lowering-.f64`
1752×	`+-lowering-+.f64`
1752×	`+-lowering-+.f32`
1712×	`sum5-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	102
1	55	99
2	147	99
3	578	99
4	4548	90
5	7086	90
0	8277	90

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize385.0ms (1.7%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 a x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.8%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(+.f64 (*.f64 a x) #s(literal 1 binary64))
✓	accuracy	54.9%	(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))
✓	accuracy	100.0%	(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
✓	accuracy	99.9%	(exp.f64 (*.f64 a x))

Results

213.0ms	162×	1	valid
92.0ms	94×	0	valid

Compiler

Compiled 114 to 20 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-mult: 92.0ms (47% of total)

compiled-spec: 25.0ms (12.8% of total)

ival-exp: 21.0ms (10.7% of total)

backward-pass: 19.0ms (9.7% of total)

ival-sub: 15.0ms (7.7% of total)

ival-add: 15.0ms (7.7% of total)

ival-div: 7.0ms (3.6% of total)

const: 2.0ms (1% of total)

series49.0ms (0.2%)

Counts

12 → 264

Calls

Call 1

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

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 1/2>
#<alt (+ 1/2 (* -1/4 (* a x)))>
#<alt (+ 1/2 (* a (- (* -1 (* a (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))>
#<alt (+ 1/2 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* a x)))>
#<alt (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (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>
#<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 (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 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 (* 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)>

Calls

66 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/ 1 (+ (exp (* a x)) 1))
3.0ms	a	@	inf	(/ 1 (+ (exp (* a x)) 1))
3.0ms	a	@	inf	(* (/ 1 (+ (exp (* a x)) 1)) (- (exp (* a (* x 2))) 1))
2.0ms	a	@	0	(* (/ 1 (+ (exp (* a x)) 1)) (- (exp (* a (* x 2))) 1))
2.0ms	a	@	-inf	(* (/ 1 (+ (exp (* a x)) 1)) (- (exp (* a (* x 2))) 1))

rewrite755.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3574×	`-lowering-.f32`
3574×	`-lowering-.f64`
3210×	`/-lowering-/.f32`
3210×	`/-lowering-/.f64`
2236×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	71
1	113	59
2	976	59
0	8734	59

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 594

Calls

Call 1

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

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

simplify534.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

4104×	`-lowering-.f32`
4104×	`-lowering-.f64`
2382×	`+-lowering-+.f64`
2382×	`+-lowering-+.f32`
1424×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	2052
1	868	1848
2	3141	1821
0	8621	1821

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (.f64 x (.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 x (.f64 x #s(literal 1/2 binary64))) (.f64 a (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 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 x (.f64 x #s(literal 1/2 binary64))) (.f64 a (+.f64 (.f64 a (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 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 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 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 a (.f64 x (.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 a a) (.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) (.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 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))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* a x)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal -1/4 binary64))))
(+ 1/2 (* a (- (* -1 (* a (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal -1/4 binary64))))
(+ 1/2 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 a (.f64 (.f64 a (.f64 x (.f64 x x))) #s(literal 1/48 binary64))) (*.f64 x #s(literal -1/4 binary64)))))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* a x)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal -1/4 binary64))))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal -1/4 binary64))))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x (.f64 (.f64 a (.f64 a (.f64 a x))) #s(literal 1/48 binary64))) (*.f64 a #s(literal -1/4 binary64)))))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 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 a (+.f64 x (.f64 a (.f64 x (.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 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a #s(literal 1/6 binary64)) 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 (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 a (+.f64 x (.f64 a (.f64 x (.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 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a (.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 (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 a (+.f64 x (.f64 a (.f64 x (.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 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a #s(literal 1/6 binary64)) x)))))))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 x (.f64 a (.f64 x (.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 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a (.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))
(exp (* a x))
(exp.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)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
1
#s(literal 1 binary64)
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* a (+ x (/ 1 a)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a (+ x (/ 1 a)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a (+ x (/ 1 a)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* x (+ a (/ 1 x)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* x (+ a (/ 1 x)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* x (+ a (/ 1 x)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 a a) (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (/.f64 x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 a a) (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (/.f64 x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 a a) (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (/.f64 x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 a a) (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (/.f64 x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 a a) (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (/.f64 x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 a a) (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (/.f64 x a)))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 (.f64 x 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 (.f64 x 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 (.f64 x x) (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (/.f64 a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 (.f64 x 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 (.f64 x 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 (.f64 x x) (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (/.f64 a x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(+ 1 (* 1/2 (* a x)))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(+ 1 (* 1/2 (* a x)))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* a (+ (* 1/2 x) (/ 1 a)))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(* a (+ (* 1/2 x) (/ 1 a)))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(* a (+ (* 1/2 x) (/ 1 a)))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(+.f64 (.f64 (.f64 a (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(+.f64 (.f64 (.f64 a (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(+.f64 (.f64 (.f64 a (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(+ 1 (* 1/2 (* a x)))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(+ 1 (* 1/2 (* a x)))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* x (+ (* 1/2 a) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(* x (+ (* 1/2 a) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(* x (+ (* 1/2 a) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 a #s(literal -1/2 binary64)))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 a #s(literal -1/2 binary64)))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 a #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 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(.f64 a (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(* 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 x x) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 a #s(literal 4/3 binary64)) x))))))
(* 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 a (.f64 a (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 2/3 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 a #s(literal 4/3 binary64)) x)))))))
(- (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 a (.f64 x (+.f64 (.f64 a (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(* 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 #s(literal 4/3 binary64) x)) (.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 (.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))))

eval411.0ms (1.8%)

Compiler: Compiled 31740 to 2404 computations (92.4% saved)

prune323.0ms (1.4%)

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1225	17	1242
Fresh	0	2	2
Picked	2	3	5
Done	0	2	2
Total	1227	24	1251

Accuracy

100.0%

Counts

1251 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.5%	(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 (.f64 a x) #s(literal 2 binary64)))) (.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 (.f64 a x) #s(literal 2 binary64)))))
	27.6%	(/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x))
	20.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) #s(literal -1 binary64)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64))))
	27.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))))
	64.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
	6.0%	(-.f64 (+.f64 (/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	20.7%	(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	54.9%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
▶	100.0%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))
	19.4%	(.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
	20.0%	(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 (.f64 a x) #s(literal 2 binary64)))))
▶	19.4%	(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
▶	64.6%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
▶	64.3%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))) a)
	27.4%	(.f64 (.f64 a (.f64 x (.f64 a x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
	65.6%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))))))
✓	64.3%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
	59.6%	(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64)))))))
	55.5%	(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 a (+.f64 (.f64 a (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 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 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))))))))))
	59.6%	(.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))))
	17.6%	(.f64 a (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))))
✓	64.9%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))
▶	18.2%	#s(literal 0 binary64)

Compiler

Compiled 995 to 433 computations (56.5% saved)

simplify367.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(+.f64 (*.f64 a x) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
✓	cost-diff	896	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(+.f64 (*.f64 a x) #s(literal -1 binary64))
✓	cost-diff	256	(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -1 binary64)))
✓	cost-diff	256	(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 (.f64 a x) #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))) a)
✓	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	6464	(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 a x)) #s(literal 1 binary64)))
✓	cost-diff	6592	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))

Rules

2010×	`-lowering-.f32`
2010×	`-lowering-.f64`
1958×	`fma-define`
1956×	`+-lowering-+.f64`
1956×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	162
1	81	156
2	254	156
3	1151	152
4	6569	152
0	8087	152

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ 1 (+ (pow (exp 1) (* a x)) 1)) (- (exp (* a (* x 2))) 1))
(/ 1 (+ (pow (exp 1) (* a x)) 1))
1
(+ (pow (exp 1) (* a x)) 1)
(pow (exp 1) (* a x))
(exp 1)
(* a x)
a
x
(- (exp (* a (* x 2))) 1)
(* a (* x 2))
(* x 2)
2
0
(* (* x (+ 1 (* (* a x) 1/2))) a)
(* x (+ 1 (* (* a x) 1/2)))
x
(+ 1 (* (* a x) 1/2))
1
(* (* a x) 1/2)
(* a x)
a
1/2
(* (+ 1 (+ (* a x) -1)) (+ 1 (* (* a x) 1/2)))
(+ 1 (+ (* a x) -1))
1
(+ (* a x) -1)
(* a x)
a
x
-1
(+ 1 (* (* a x) 1/2))
(* (* a x) 1/2)
1/2
(* (* (+ (* a x) 2) (* a x)) (/ 1 (+ (* a x) 2)))
(* (+ (* a x) 2) (* a x))
(+ (* a x) 2)
(* a x)
a
x
2
(/ 1 (+ (* a x) 2))
1

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

localize493.0ms (2.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64)))
✓	accuracy	84.6%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(+.f64 (*.f64 a x) #s(literal -1 binary64))
✓	accuracy	99.8%	(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
✓	accuracy	54.9%	(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -1 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 a x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal 1/2 binary64))))
✓	accuracy	98.5%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))) a)
✓	accuracy	100.0%	(+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 a x)) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))
✓	accuracy	100.0%	(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
✓	accuracy	99.9%	(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 a x))

Results

291.0ms	162×	1	valid
81.0ms	94×	0	valid

Compiler

Compiled 199 to 28 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-mult: 69.0ms (33.3% of total)

backward-pass: 26.0ms (12.5% of total)

ival-add: 26.0ms (12.5% of total)

ival-exp: 23.0ms (11.1% of total)

compiled-spec: 22.0ms (10.6% of total)

ival-pow: 19.0ms (9.2% of total)

ival-div: 14.0ms (6.8% of total)

ival-sub: 5.0ms (2.4% of total)

const: 3.0ms (1.4% of total)

series44.0ms (0.2%)

Counts

17 → 408

Calls

Call 1

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

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 1/2>
#<alt (+ 1/2 (* -1/4 (* a x)))>
#<alt (+ 1/2 (* a (- (* -1 (* a (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))>
#<alt (+ 1/2 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* a x)))>
#<alt (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (exp (* a x))))>
#<alt (/ 1 (+ 1 (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>
#<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 (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (* 1/2 (* a x))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* 1/2 (* a x))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (* 1/2 (* a x))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* 1/2 (* a x))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt -1>
#<alt (- (* a x) 1)>
#<alt (- (* a x) 1)>
#<alt (- (* a x) 1)>
#<alt (* a x)>
#<alt (* a (- x (/ 1 a)))>
#<alt (* a (- x (/ 1 a)))>
#<alt (* a (- x (/ 1 a)))>
#<alt (* a x)>
#<alt (* -1 (* a (+ (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (+ (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (+ (* -1 x) (/ 1 a))))>
#<alt -1>
#<alt (- (* a x) 1)>
#<alt (- (* a x) 1)>
#<alt (- (* a x) 1)>
#<alt (* a x)>
#<alt (* x (- a (/ 1 x)))>
#<alt (* x (- a (/ 1 x)))>
#<alt (* x (- a (/ 1 x)))>
#<alt (* a x)>
#<alt (* -1 (* x (+ (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 a) (/ 1 x))))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* 2 (* a x))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* 2 (* a x))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 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 1/2>
#<alt (+ 1/2 (* -1/4 (* a x)))>
#<alt (+ 1/2 (* a (- (* 1/8 (* a (pow x 2))) (* 1/4 x))))>
#<alt (+ 1/2 (* a (- (* a (- (* -1/16 (* a (pow x 3))) (* -1/8 (pow x 2)))) (* 1/4 x))))>
#<alt (/ 1 (* a x))>
#<alt (/ (- (/ 1 x) (* 2 (/ 1 (* a (pow x 2))))) a)>
#<alt (/ (- (+ (/ 1 x) (/ 4 (* (pow a 2) (pow x 3)))) (/ 2 (* a (pow x 2)))) a)>
#<alt (/ (- (+ (/ 1 x) (* 4 (/ 1 (* (pow a 2) (pow x 3))))) (+ (* 8 (/ 1 (* (pow a 3) (pow x 4)))) (/ 2 (* a (pow x 2))))) a)>
#<alt (/ 1 (* a x))>
#<alt (* -1 (/ (- (* 2 (/ 1 (* a (pow x 2)))) (/ 1 x)) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* a (pow x 3)))) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 4)))) (* 4 (/ 1 (pow x 3)))) a)) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* a x)))>
#<alt (+ 1/2 (* x (- (* 1/8 (* (pow a 2) x)) (* 1/4 a))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1/16 (* (pow a 3) x)) (* -1/8 (pow a 2)))) (* 1/4 a))))>
#<alt (/ 1 (* a x))>
#<alt (/ (- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x)))) x)>
#<alt (/ (- (+ (/ 1 a) (/ 4 (* (pow a 3) (pow x 2)))) (/ 2 (* (pow a 2) x))) x)>
#<alt (/ (- (+ (/ 1 a) (* 4 (/ 1 (* (pow a 3) (pow x 2))))) (+ (* 8 (/ 1 (* (pow a 4) (pow x 3)))) (/ 2 (* (pow a 2) x)))) x)>
#<alt (/ 1 (* a x))>
#<alt (* -1 (/ (- (* 2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* (pow a 3) x))) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow a 4) x))) (* 4 (/ 1 (pow a 3)))) x)) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))>

Calls

102 calls:

Time	Variable		Point	Expression
9.0ms	a	@	0	(* (+ (* a x) 2) (* a x))
1.0ms	a	@	-inf	(* (+ (* a x) 2) (* a x))
1.0ms	x	@	-inf	(* (+ (* a x) 2) (* a x))
1.0ms	a	@	inf	(* (+ (* a x) 2) (* a x))
1.0ms	x	@	inf	(* (+ (* a x) 2) (* a x))

rewrite1.0s (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3346×	`-lowering-.f32`
3346×	`-lowering-.f64`
3134×	`/-lowering-/.f32`
3134×	`/-lowering-/.f64`
1960×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	123
1	171	102
2	1517	96
0	8389	96

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1217

Calls

Call 1

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

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

simplify609.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

3932×	`-lowering-.f32`
3932×	`-lowering-.f64`
1476×	`+-lowering-+.f64`
1476×	`+-lowering-+.f32`
1292×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	399	3292
1	1428	3028
2	4663	3006
0	8456	3006

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

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

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 x (.f64 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 x (.f64 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))))))
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(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal -1/4 binary64)))
(+ 1/2 (* a (- (* 1/8 (* a (pow x 2))) (* 1/4 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal -1/4 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 a (*.f64 x x))))))
(+ 1/2 (* a (- (* a (- (* -1/16 (* a (pow x 3))) (* -1/8 (pow x 2)))) (* 1/4 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 a (+.f64 (.f64 x (.f64 x #s(literal 1/8 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 a #s(literal -1/16 binary64))))) (*.f64 x #s(literal -1/4 binary64)))))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ (- (/ 1 x) (* 2 (/ 1 (* a (pow x 2))))) a)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (.f64 a (.f64 x x)))) a)
(/ (- (+ (/ 1 x) (/ 4 (* (pow a 2) (pow x 3)))) (/ 2 (* a (pow x 2)))) a)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 x x)))) (/.f64 #s(literal -2 binary64) (.f64 x x))) a)) a)
(/ (- (+ (/ 1 x) (* 4 (/ 1 (* (pow a 2) (pow x 3))))) (+ (* 8 (/ 1 (* (pow a 3) (pow x 4)))) (/ 2 (* a (pow x 2))))) a)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 x x)))) (/.f64 #s(literal -2 binary64) (.f64 x x))) a) (/.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 a (*.f64 a a))))) a)
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(* -1 (/ (- (* 2 (/ 1 (* a (pow x 2)))) (/ 1 x)) a))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a (.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* a (pow x 3)))) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 x x)))) (/.f64 #s(literal -2 binary64) (.f64 x x))) a)) a)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 4)))) (* 4 (/ 1 (pow x 3)))) a)) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) a) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -4 binary64) (.f64 x (.f64 x x)))) a)) a) (/.f64 #s(literal 1 binary64) x)) a)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* a x)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal -1/4 binary64)))
(+ 1/2 (* x (- (* 1/8 (* (pow a 2) x)) (* 1/4 a))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x (.f64 (.f64 a a) #s(literal 1/8 binary64))) (*.f64 a #s(literal -1/4 binary64)))))
(+ 1/2 (* x (- (* x (- (* -1/16 (* (pow a 3) x)) (* -1/8 (pow a 2)))) (* 1/4 a))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 (.f64 a a) #s(literal 1/8 binary64)) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal -1/16 binary64))))) (*.f64 a #s(literal -1/4 binary64)))))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ (- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (.f64 a (.f64 x x)))) a)
(/ (- (+ (/ 1 a) (/ 4 (* (pow a 3) (pow x 2)))) (/ 2 (* (pow a 2) x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a a)))) (/.f64 #s(literal -2 binary64) (.f64 a a))) x)) x)
(/ (- (+ (/ 1 a) (* 4 (/ 1 (* (pow a 3) (pow x 2))))) (+ (* 8 (/ 1 (* (pow a 4) (pow x 3)))) (/ 2 (* (pow a 2) x)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a a)))) (/.f64 #s(literal -2 binary64) (.f64 a a))) x) (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 a a) (*.f64 a a))))) x)
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(* -1 (/ (- (* 2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a (.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* (pow a 3) x))) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a a)))) (/.f64 #s(literal -2 binary64) (.f64 a a))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow a 4) x))) (* 4 (/ 1 (pow a 3)))) x)) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (.f64 a a)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) x) (.f64 (.f64 a a) (.f64 a a))) (/.f64 #s(literal -4 binary64) (.f64 a (.f64 a a)))) x)) x) (/.f64 #s(literal 1 binary64) a)) x)

eval936.0ms (4%)

Compiler: Compiled 85912 to 5346 computations (93.8% saved)

prune829.0ms (3.6%)

Pruning

44 alts after pruning (36 fresh and 8 done)

	Pruned	Kept	Total
New	2629	27	2656
Fresh	5	9	14
Picked	2	3	5
Done	0	5	5
Total	2636	44	2680

Accuracy

100.0%

Counts

2680 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.6%	(/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x))
	27.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))))
▶	64.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
	6.0%	(-.f64 (+.f64 (/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	20.7%	(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	54.9%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
	64.2%	(.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -2 binary64)))))
	64.6%	(.f64 (/.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 a #s(literal 1 binary64)))
▶	64.6%	(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
	64.1%	(.f64 (/.f64 x (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -2 binary64)))))
	63.7%	(.f64 (/.f64 a (+.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 8 binary64))) (/.f64 (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 #s(literal 4 binary64) (.f64 a (*.f64 x #s(literal 2 binary64))))))))
	64.0%	(.f64 (/.f64 a (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -2 binary64)))))
	64.6%	(.f64 (/.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)))
▶	100.0%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (E.f64) (.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))
	64.1%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 a (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal -2 binary64)))))
	19.4%	(.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
✓	19.4%	(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
	2.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
▶	64.6%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
	64.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64)))) x)
	64.6%	(.f64 (.f64 (+.f64 (.f64 (/.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
	2.4%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (.f64 a (.f64 x x)))) a))
	64.2%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x)))))
	64.2%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a x) #s(literal -2 binary64)) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))))))
	64.2%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -2 binary64))))) #s(literal 2 binary64))))
	64.4%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64)))) x) #s(literal 2 binary64))))
▶	3.8%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
	59.2%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal -1/4 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 a (*.f64 x x)))))))
	64.2%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (+.f64 (*.f64 a x) #s(literal -2 binary64))))
	64.6%	(.f64 (.f64 (.f64 (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal -2 binary64)))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
	64.6%	(.f64 (.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
✓	64.3%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))) a)
	47.2%	(.f64 (.f64 x (.f64 x (+.f64 (.f64 a a) (/.f64 (.f64 a #s(literal 2 binary64)) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
	64.6%	(.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))))
	27.4%	(.f64 (.f64 a (.f64 x (.f64 a x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
	65.6%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))))))
✓	64.3%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
	64.7%	(.f64 (.f64 a x) (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
	17.6%	(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))) a)
	59.6%	(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64)))))))
	59.6%	(.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))))
✓	64.9%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))
✓	18.2%	#s(literal 0 binary64)

Compiler

Compiled 1740 to 952 computations (45.3% saved)

simplify525.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (*.f64 a x))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x)))
✓	cost-diff	0	(.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x))
✓	cost-diff	128	(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64)))
✓	cost-diff	128	(/.f64 x #s(literal 1 binary64))
✓	cost-diff	768	(/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (*.f64 a x) #s(literal 2 binary64)))
✓	cost-diff	896	(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(+.f64 (*.f64 a x) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
✓	cost-diff	640	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 a x))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
✓	cost-diff	64	(pow.f64 (E.f64) (*.f64 a x))
✓	cost-diff	64	(+.f64 (pow.f64 (E.f64) (*.f64 a x)) #s(literal 1 binary64))
✓	cost-diff	64	(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (E.f64) (*.f64 a x)) #s(literal 1 binary64)))
✓	cost-diff	192	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (E.f64) (.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))

Rules

4008×	`-lowering-.f32`
4008×	`-lowering-.f64`
1790×	`sum3-define`
1252×	`+-lowering-+.f64`
1252×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	257
1	107	227
2	344	207
3	2011	206
4	6878	206
0	8029	206

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ 1 (+ (pow (E) (* a x)) 1)) (- (exp (* a (* x 2))) 1))
(/ 1 (+ (pow (E) (* a x)) 1))
1
(+ (pow (E) (* a x)) 1)
(pow (E) (* a x))
(E)
(* a x)
a
x
(- (exp (* a (* x 2))) 1)
(* a (* x 2))
(* x 2)
2
(/ 1 (/ 1 (* a x)))
1
(/ 1 (* a x))
(* a x)
a
x
(* (* (+ (* a x) 2) (* a x)) (/ 1 (* a x)))
(* (+ (* a x) 2) (* a x))
(+ (* a x) 2)
(* a x)
a
x
2
(/ 1 (* a x))
1
(* (/ (* a (+ (* a x) 2)) (+ (* a x) 2)) (/ x 1))
(/ (* a (+ (* a x) 2)) (+ (* a x) 2))
(* a (+ (* a x) 2))
a
(+ (* a x) 2)
(* a x)
x
2
(/ x 1)
1
(* (* (/ (- 4 (* a (* x (* a x)))) (- 2 (* a x))) (* a x)) (/ 1 (+ (* a x) 2)))
(* (/ (- 4 (* a (* x (* a x)))) (- 2 (* a x))) (* a x))
(/ (- 4 (* a (* x (* a x)))) (- 2 (* a x)))
(- 4 (* a (* x (* a x))))
4
(* a (* x (* a x)))
a
(* x (* a x))
x
(* a x)
(- 2 (* a x))
2
(/ 1 (+ (* a x) 2))
1
(+ (* a x) 2)

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

localize645.0ms (2.8%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64)))
✓	accuracy	94.2%	(.f64 a (.f64 x (*.f64 a x)))
✓	accuracy	84.6%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
✓	accuracy	83.7%	(/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x)))
✓	accuracy	100.0%	(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64)))
✓	accuracy	86.7%	(/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (*.f64 a x) #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 a x))
✓	accuracy	70.0%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 a x))
✓	accuracy	100.0%	(+.f64 (pow.f64 (E.f64) (*.f64 a x)) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (E.f64) (.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))
✓	accuracy	100.0%	(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
✓	accuracy	99.9%	(pow.f64 (E.f64) (*.f64 a x))

Results

384.0ms	162×	1	valid
103.0ms	94×	0	valid

Compiler

Compiled 280 to 32 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 261.0ms

ival-mult: 83.0ms (31.7% of total)

ival-div: 51.0ms (19.5% of total)

backward-pass: 28.0ms (10.7% of total)

compiled-spec: 26.0ms (9.9% of total)

ival-pow: 20.0ms (7.6% of total)

ival-sub: 19.0ms (7.3% of total)

ival-add: 14.0ms (5.4% of total)

ival-exp: 13.0ms (5% of total)

ival-e: 7.0ms (2.7% of total)

const: 2.0ms (0.8% of total)

series106.0ms (0.5%)

Counts

21 → 492

Calls

Call 1

Inputs
#<alt (* (/ 1 (+ (pow (E) (* a x)) 1)) (- (exp (* a (* x 2))) 1))>
#<alt (/ 1 (+ (pow (E) (* a x)) 1))>
#<alt (+ (pow (E) (* a x)) 1)>
#<alt (pow (E) (* a x))>
#<alt (/ 1 (/ 1 (* a x)))>
#<alt (/ 1 (* a x))>
#<alt (* a x)>
#<alt (* (* (+ (* a x) 2) (* a x)) (/ 1 (* a x)))>
#<alt (* (+ (* a x) 2) (* a x))>
#<alt (+ (* a x) 2)>
#<alt (* (/ (* a (+ (* a x) 2)) (+ (* a x) 2)) (/ x 1))>
#<alt (/ (* a (+ (* a x) 2)) (+ (* a x) 2))>
#<alt (/ x 1)>
#<alt (* a (+ (* a x) 2))>
#<alt (* (* (/ (- 4 (* a (* x (* a x)))) (- 2 (* a x))) (* a x)) (/ 1 (+ (* a x) 2)))>
#<alt (* (/ (- 4 (* a (* x (* a x)))) (- 2 (* a x))) (* a x))>
#<alt (/ (- 4 (* a (* x (* a x)))) (- 2 (* a x)))>
#<alt (- 4 (* a (* x (* a x))))>
#<alt (- (exp (* a (* x 2))) 1)>
#<alt (* a (* x (* a x)))>
#<alt (/ 1 (+ (* a x) 2))>

Outputs
#<alt (* a x)>
#<alt (* a (+ x (* a (- (pow x 2) (* 1/2 (* (pow x 2) (log (E))))))))>
#<alt (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (* (pow x 3) (pow (log (E)) 2))) (* 1/2 (* x (* (log (E)) (- (pow x 2) (* 1/2 (* (pow x 2) (log (E))))))))))) (pow x 2)) (* 1/2 (* (pow x 2) (log (E))))))))>
#<alt (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (* (pow x 4) (pow (log (E)) 3))) (+ (* 1/4 (* (pow x 2) (* (pow (log (E)) 2) (- (pow x 2) (* 1/2 (* (pow x 2) (log (E)))))))) (* 1/2 (* x (* (log (E)) (- (* 2/3 (pow x 3)) (+ (* 1/4 (* (pow x 3) (pow (log (E)) 2))) (* 1/2 (* x (* (log (E)) (- (pow x 2) (* 1/2 (* (pow x 2) (log (E)))))))))))))))))) (+ (* 1/4 (* (pow x 3) (pow (log (E)) 2))) (* 1/2 (* x (* (log (E)) (- (pow x 2) (* 1/2 (* (pow x 2) (log (E))))))))))) (pow x 2)) (* 1/2 (* (pow x 2) (log (E))))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (* a x)>
#<alt (* x (+ a (* x (- (pow a 2) (* 1/2 (* (pow a 2) (log (E))))))))>
#<alt (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (* (pow a 3) (pow (log (E)) 2))) (* 1/2 (* a (* (log (E)) (- (pow a 2) (* 1/2 (* (pow a 2) (log (E))))))))))) (pow a 2)) (* 1/2 (* (pow a 2) (log (E))))))))>
#<alt (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (* (pow a 4) (pow (log (E)) 3))) (+ (* 1/4 (* (pow a 2) (* (pow (log (E)) 2) (- (pow a 2) (* 1/2 (* (pow a 2) (log (E)))))))) (* 1/2 (* a (* (log (E)) (- (* 2/3 (pow a 3)) (+ (* 1/4 (* (pow a 3) (pow (log (E)) 2))) (* 1/2 (* a (* (log (E)) (- (pow a 2) (* 1/2 (* (pow a 2) (log (E)))))))))))))))))) (+ (* 1/4 (* (pow a 3) (pow (log (E)) 2))) (* 1/2 (* a (* (log (E)) (- (pow a 2) (* 1/2 (* (pow a 2) (log (E))))))))))) (pow a 2)) (* 1/2 (* (pow a 2) (log (E))))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* a (* x (log (E))))))>
#<alt (+ 1/2 (* a (- (* -1 (* a (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) (* 1/4 (* x (log (E)))))))>
#<alt (+ 1/2 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))) (+ (* -1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/24 (* (pow x 3) (pow (log (E)) 3))))))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) (* 1/4 (* x (log (E)))))))>
#<alt (/ 1 (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ 1 (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ 1 (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ 1 (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ 1 (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ 1 (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ 1 (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ 1 (+ 1 (exp (* a (* x (log (E)))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* a (* x (log (E))))))>
#<alt (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (* (pow a 2) (pow (log (E)) 2))) (* 1/8 (* (pow a 2) (pow (log (E)) 2)))))) (* 1/4 (* a (log (E)))))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (* (log (E)) (+ (* -1/8 (* (pow a 2) (pow (log (E)) 2))) (* 1/8 (* (pow a 2) (pow (log (E)) 2))))))) (+ (* -1/16 (* (pow a 3) (pow (log (E)) 3))) (* 1/24 (* (pow a 3) (pow (log (E)) 3))))))) (+ (* -1/8 (* (pow a 2) (pow (log (E)) 2))) (* 1/8 (* (pow a 2) (pow (log (E)) 2)))))) (* 1/4 (* a (log (E)))))))>
#<alt (/ 1 (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ 1 (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ 1 (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ 1 (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ 1 (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ 1 (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ 1 (+ 1 (exp (* a (* x (log (E)))))))>
#<alt (/ 1 (+ 1 (exp (* a (* x (log (E)))))))>
#<alt 2>
#<alt (+ 2 (* a (* x (log (E)))))>
#<alt (+ 2 (* a (+ (* 1/2 (* a (* (pow x 2) (pow (log (E)) 2)))) (* x (log (E))))))>
#<alt (+ 2 (* a (+ (* a (+ (* 1/6 (* a (* (pow x 3) (pow (log (E)) 3)))) (* 1/2 (* (pow x 2) (pow (log (E)) 2))))) (* x (log (E))))))>
#<alt (+ 1 (exp (* a (* x (log (E))))))>
#<alt (+ 1 (exp (* a (* x (log (E))))))>
#<alt (+ 1 (exp (* a (* x (log (E))))))>
#<alt (+ 1 (exp (* a (* x (log (E))))))>
#<alt (+ 1 (exp (* a (* x (log (E))))))>
#<alt (+ 1 (exp (* a (* x (log (E))))))>
#<alt (+ 1 (exp (* a (* x (log (E))))))>
#<alt (+ 1 (exp (* a (* x (log (E))))))>
#<alt 2>
#<alt (+ 2 (* a (* x (log (E)))))>
#<alt (+ 2 (* x (+ (* 1/2 (* (pow a 2) (* x (pow (log (E)) 2)))) (* a (log (E))))))>
#<alt (+ 2 (* x (+ (* a (log (E))) (* x (+ (* 1/6 (* (pow a 3) (* x (pow (log (E)) 3)))) (* 1/2 (* (pow a 2) (pow (log (E)) 2))))))))>
#<alt (+ 1 (exp (* a (* x (log (E))))))>
#<alt (+ 1 (exp (* a (* x (log (E))))))>
#<alt (+ 1 (exp (* a (* x (log (E))))))>
#<alt (+ 1 (exp (* a (* x (log (E))))))>
#<alt (+ 1 (exp (* a (* x (log (E))))))>
#<alt (+ 1 (exp (* a (* x (log (E))))))>
#<alt (+ 1 (exp (* a (* x (log (E))))))>
#<alt (+ 1 (exp (* a (* x (log (E))))))>
#<alt 1>
#<alt (+ 1 (* a (* x (log (E)))))>
#<alt (+ 1 (* a (+ (* 1/2 (* a (* (pow x 2) (pow (log (E)) 2)))) (* x (log (E))))))>
#<alt (+ 1 (* a (+ (* a (+ (* 1/6 (* a (* (pow x 3) (pow (log (E)) 3)))) (* 1/2 (* (pow x 2) (pow (log (E)) 2))))) (* x (log (E))))))>
#<alt (exp (* a (* x (log (E)))))>
#<alt (exp (* a (* x (log (E)))))>
#<alt (exp (* a (* x (log (E)))))>
#<alt (exp (* a (* x (log (E)))))>
#<alt (exp (* a (* x (log (E)))))>
#<alt (exp (* a (* x (log (E)))))>
#<alt (exp (* a (* x (log (E)))))>
#<alt (exp (* a (* x (log (E)))))>
#<alt 1>
#<alt (+ 1 (* a (* x (log (E)))))>
#<alt (+ 1 (* x (+ (* 1/2 (* (pow a 2) (* x (pow (log (E)) 2)))) (* a (log (E))))))>
#<alt (+ 1 (* x (+ (* a (log (E))) (* x (+ (* 1/6 (* (pow a 3) (* x (pow (log (E)) 3)))) (* 1/2 (* (pow a 2) (pow (log (E)) 2))))))))>
#<alt (exp (* a (* x (log (E)))))>
#<alt (exp (* a (* x (log (E)))))>
#<alt (exp (* a (* x (log (E)))))>
#<alt (exp (* a (* x (log (E)))))>
#<alt (exp (* a (* x (log (E)))))>
#<alt (exp (* a (* x (log (E)))))>
#<alt (exp (* a (* x (log (E)))))>
#<alt (exp (* a (* x (log (E)))))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* 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 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* 2 (* a x))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* 2 (* a x))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* a x)))>
#<alt (* a (+ 2 (* a x)))>
#<alt (* a (+ 2 (* a x)))>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) (+ x (* 2 (/ 1 a))))>
#<alt (* (pow a 2) (+ x (* 2 (/ 1 a))))>
#<alt (* (pow a 2) (+ x (* 2 (/ 1 a))))>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) (+ x (* 2 (/ 1 a))))>
#<alt (* (pow a 2) (+ x (* 2 (/ 1 a))))>
#<alt (* (pow a 2) (+ x (* 2 (/ 1 a))))>
#<alt (* 2 a)>
#<alt (+ (* 2 a) (* (pow a 2) x))>
#<alt (+ (* 2 a) (* (pow a 2) x))>
#<alt (+ (* 2 a) (* (pow a 2) x))>
#<alt (* (pow a 2) x)>
#<alt (* x (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* x (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* x (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow a 2) x)>
#<alt (* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))>
#<alt (* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))>
#<alt (* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))>
#<alt (* a x)>
#<alt (* a (+ x (* -1/4 (* a (* x (+ (* -2 x) (* 2 x)))))))>
#<alt (* a (+ x (* a (- (* 1/16 (* a (* x (pow (+ (* -2 x) (* 2 x)) 2)))) (* 1/4 (* x (+ (* -2 x) (* 2 x))))))))>
#<alt (* a (+ x (* a (- (* a (- (* -1 (* a (+ (* 1/64 (* x (pow (+ (* -2 x) (* 2 x)) 3))) (* 1/16 (* (pow x 3) (+ (* -2 x) (* 2 x))))))) (* -1/16 (* x (pow (+ (* -2 x) (* 2 x)) 2))))) (* 1/4 (* x (+ (* -2 x) (* 2 x))))))))>
#<alt (* a x)>
#<alt (* a (+ x (+ (/ -2 a) (/ 2 a))))>
#<alt (* a (+ x (* -1 (/ (+ (* -1 (/ (+ (* -2 x) (* 2 x)) x)) (* -1 (/ (pow (+ (* -2 x) (* 2 x)) 2) (* a (pow x 3))))) a))))>
#<alt (* a (- (+ x (* -1 (/ (+ (* -4 (/ (+ (* -2 x) (* 2 x)) (pow x 3))) (* -1 (/ (* (+ (* -2 x) (* 2 x)) (- (* 4 (/ 1 x)) (+ (* -1 (/ (pow (+ (* -2 x) (* 2 x)) 2) (pow x 3))) (* 4 (/ 1 x))))) (pow x 2)))) (pow a 3)))) (+ (* -1 (/ (+ (* -2 x) (* 2 x)) (* a x))) (* -1 (/ (pow (+ (* -2 x) (* 2 x)) 2) (* (pow a 2) (pow x 3)))))))>
#<alt (* a x)>
#<alt (* -1 (* a (+ (* -1 x) (+ (/ -2 a) (/ 2 a)))))>
#<alt (* -1 (* a (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ (* -2 x) (* 2 x)) x)) (* -1 (/ (pow (+ (* -2 x) (* 2 x)) 2) (* a (pow x 3))))) a)))))>
#<alt (* -1 (* a (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 x) (* 2 x)) x)) (* -1 (/ (+ (* -1 (- (* 4 (/ 1 x)) (+ (* -1 (/ (pow (+ (* -2 x) (* 2 x)) 2) (pow x 3))) (* 4 (/ 1 x))))) (* -1 (/ (+ (* -4 (/ (+ (* -2 x) (* 2 x)) (pow x 3))) (* -1 (/ (* (+ (* -2 x) (* 2 x)) (- (* 4 (/ 1 x)) (+ (* -1 (/ (pow (+ (* -2 x) (* 2 x)) 2) (pow x 3))) (* 4 (/ 1 x))))) (pow x 2)))) a))) a))) a)))))>
#<alt (* a x)>
#<alt (* x (+ a (* -1/4 (* a (* x (+ (* -2 a) (* 2 a)))))))>
#<alt (* x (+ a (* x (- (* 1/16 (* a (* x (pow (+ (* -2 a) (* 2 a)) 2)))) (* 1/4 (* a (+ (* -2 a) (* 2 a))))))))>
#<alt (* x (+ a (* x (- (* x (- (* -1 (* x (+ (* 1/64 (* a (pow (+ (* -2 a) (* 2 a)) 3))) (* 1/16 (* (pow a 3) (+ (* -2 a) (* 2 a))))))) (* -1/16 (* a (pow (+ (* -2 a) (* 2 a)) 2))))) (* 1/4 (* a (+ (* -2 a) (* 2 a))))))))>
#<alt (* a x)>
#<alt (* x (+ a (+ (/ -2 x) (/ 2 x))))>
#<alt (* x (+ a (* -1 (/ (+ (* -1 (/ (+ (* -2 a) (* 2 a)) a)) (* -1 (/ (pow (+ (* -2 a) (* 2 a)) 2) (* (pow a 3) x)))) x))))>
#<alt (* x (- (+ a (* -1 (/ (+ (* -4 (/ (+ (* -2 a) (* 2 a)) (pow a 3))) (* -1 (/ (* (+ (* -2 a) (* 2 a)) (- (* 4 (/ 1 a)) (+ (* -1 (/ (pow (+ (* -2 a) (* 2 a)) 2) (pow a 3))) (* 4 (/ 1 a))))) (pow a 2)))) (pow x 3)))) (+ (* -1 (/ (+ (* -2 a) (* 2 a)) (* a x))) (* -1 (/ (pow (+ (* -2 a) (* 2 a)) 2) (* (pow a 3) (pow x 2)))))))>
#<alt (* a x)>
#<alt (* -1 (* x (+ (* -1 a) (+ (/ -2 x) (/ 2 x)))))>
#<alt (* -1 (* x (+ (* -1 a) (* -1 (/ (- (* -1 (/ (+ (* -2 a) (* 2 a)) a)) (* -1 (/ (pow (+ (* -2 a) (* 2 a)) 2) (* (pow a 3) x)))) x)))))>
#<alt (* -1 (* x (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* -2 a) (* 2 a)) a)) (* -1 (/ (+ (* -1 (- (* 4 (/ 1 a)) (+ (* -1 (/ (pow (+ (* -2 a) (* 2 a)) 2) (pow a 3))) (* 4 (/ 1 a))))) (* -1 (/ (+ (* -4 (/ (+ (* -2 a) (* 2 a)) (pow a 3))) (* -1 (/ (* (+ (* -2 a) (* 2 a)) (- (* 4 (/ 1 a)) (+ (* -1 (/ (pow (+ (* -2 a) (* 2 a)) 2) (pow a 3))) (* 4 (/ 1 a))))) (pow a 2)))) x))) x))) x)))))>
#<alt (* 2 (* a x))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* 2 (* a x))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt 4>
#<alt (+ 4 (* -1 (* (pow a 2) (pow x 2))))>
#<alt (+ 4 (* -1 (* (pow a 2) (pow x 2))))>
#<alt (+ 4 (* -1 (* (pow a 2) (pow x 2))))>
#<alt (* -1 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (pow x 2)))>
#<alt (* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (pow x 2)))>
#<alt (* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (pow x 2)))>
#<alt (* -1 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (pow x 2)))>
#<alt (* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (pow x 2)))>
#<alt (* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (pow x 2)))>
#<alt 4>
#<alt (+ 4 (* -1 (* (pow a 2) (pow x 2))))>
#<alt (+ 4 (* -1 (* (pow a 2) (pow x 2))))>
#<alt (+ 4 (* -1 (* (pow a 2) (pow x 2))))>
#<alt (* -1 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) (pow a 2)))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) (pow a 2)))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) (pow a 2)))>
#<alt (* -1 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) (pow a 2)))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) (pow a 2)))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) (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 (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* a x)))>
#<alt (+ 1/2 (* a (- (* 1/8 (* a (pow x 2))) (* 1/4 x))))>
#<alt (+ 1/2 (* a (- (* a (- (* -1/16 (* a (pow x 3))) (* -1/8 (pow x 2)))) (* 1/4 x))))>
#<alt (/ 1 (* a x))>
#<alt (/ (- (/ 1 x) (* 2 (/ 1 (* a (pow x 2))))) a)>
#<alt (/ (- (+ (/ 1 x) (/ 4 (* (pow a 2) (pow x 3)))) (/ 2 (* a (pow x 2)))) a)>
#<alt (/ (- (+ (/ 1 x) (* 4 (/ 1 (* (pow a 2) (pow x 3))))) (+ (* 8 (/ 1 (* (pow a 3) (pow x 4)))) (/ 2 (* a (pow x 2))))) a)>
#<alt (/ 1 (* a x))>
#<alt (* -1 (/ (- (* 2 (/ 1 (* a (pow x 2)))) (/ 1 x)) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* a (pow x 3)))) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 4)))) (* 4 (/ 1 (pow x 3)))) a)) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* a x)))>
#<alt (+ 1/2 (* x (- (* 1/8 (* (pow a 2) x)) (* 1/4 a))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1/16 (* (pow a 3) x)) (* -1/8 (pow a 2)))) (* 1/4 a))))>
#<alt (/ 1 (* a x))>
#<alt (/ (- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x)))) x)>
#<alt (/ (- (+ (/ 1 a) (/ 4 (* (pow a 3) (pow x 2)))) (/ 2 (* (pow a 2) x))) x)>
#<alt (/ (- (+ (/ 1 a) (* 4 (/ 1 (* (pow a 3) (pow x 2))))) (+ (* 8 (/ 1 (* (pow a 4) (pow x 3)))) (/ 2 (* (pow a 2) x)))) x)>
#<alt (/ 1 (* a x))>
#<alt (* -1 (/ (- (* 2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* (pow a 3) x))) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow a 4) x))) (* 4 (/ 1 (pow a 3)))) x)) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))>

Calls

123 calls:

Time	Variable		Point	Expression
18.0ms	x	@	inf	(* (* (/ (- 4 (* a (* x (* a x)))) (- 2 (* a x))) (* a x)) (/ 1 (+ (* a x) 2)))
5.0ms	x	@	-inf	(* (/ 1 (+ (pow (E) (* a x)) 1)) (- (exp (* a (* x 2))) 1))
4.0ms	x	@	inf	(* (/ (- 4 (* a (* x (* a x)))) (- 2 (* a x))) (* a x))
3.0ms	a	@	inf	(* (/ 1 (+ (pow (E) (* a x)) 1)) (- (exp (* a (* x 2))) 1))
3.0ms	a	@	0	(* (/ 1 (+ (pow (E) (* a x)) 1)) (- (exp (* a (* x 2))) 1))

rewrite1.1s (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3104×	`-lowering-.f32`
3104×	`-lowering-.f64`
2898×	`/-lowering-/.f32`
2898×	`/-lowering-/.f64`
2552×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	148
1	238	98
2	2061	98
0	8719	98

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1827

Calls

Call 1

Inputs
(* (/ 1 (+ (pow (E) (* a x)) 1)) (- (exp (* a (* x 2))) 1))
(/ 1 (+ (pow (E) (* a x)) 1))
(+ (pow (E) (* a x)) 1)
(pow (E) (* a x))
(/ 1 (/ 1 (* a x)))
(/ 1 (* a x))
(* a x)
(* (* (+ (* a x) 2) (* a x)) (/ 1 (* a x)))
(* (+ (* a x) 2) (* a x))
(+ (* a x) 2)
(* (/ (* a (+ (* a x) 2)) (+ (* a x) 2)) (/ x 1))
(/ (* a (+ (* a x) 2)) (+ (* a x) 2))
(/ x 1)
(* a (+ (* a x) 2))
(* (* (/ (- 4 (* a (* x (* a x)))) (- 2 (* a x))) (* a x)) (/ 1 (+ (* a x) 2)))
(* (/ (- 4 (* a (* x (* a x)))) (- 2 (* a x))) (* a x))
(/ (- 4 (* a (* x (* a x)))) (- 2 (* a x)))
(- 4 (* a (* x (* a x))))
(- (exp (* a (* x 2))) 1)
(* a (* x (* a x)))
(/ 1 (+ (* a x) 2))

Outputs
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) #s(literal -1 binary64)))
(+.f64 (.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 a (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 (.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 (.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 2 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 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 2 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))))
(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 (exp.f64 (.f64 #s(literal 2/3 binary64) (.f64 a x))) (exp.f64 (.f64 #s(literal 1/3 binary64) (.f64 a x))) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) (expm1.f64 (.f64 (*.f64 a x) #s(literal 2 binary64)))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) (expm1.f64 (.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) (+.f64 (exp.f64 (.f64 (.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (*.f64 a x) #s(literal 2 binary64)))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))))))
(/.f64 (.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 a x)))) (+.f64 (exp.f64 (.f64 (.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (*.f64 a x) #s(literal 2 binary64)))))))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (.f64 (.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 a x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x))))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 a x))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x)))))
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(.f64 (pow.f64 (/.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) (+.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal -4 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (.f64 a x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 a x)) #s(literal -2 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64)) (.f64 x x))
(.f64 (pow.f64 (pow.f64 (.f64 a x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (*.f64 a x) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 x x))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))) (/.f64 (.f64 a x) (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (*.f64 x x))))))
(-.f64 (/.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (+.f64 (.f64 a x) #s(literal 2 binary64)))) (/.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 64 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (+.f64 (.f64 a x) #s(literal 2 binary64)))) (/.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 a (.f64 a (.f64 x x))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (+.f64 (.f64 a x) #s(literal 2 binary64)))) (/.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 a (.f64 a (.f64 x x)))) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))) (/.f64 (/.f64 (.f64 a (.f64 a (.f64 x x))) (+.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (+.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) #s(literal 4 binary64))) (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))) (/.f64 (/.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x)))) (+.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) #s(literal 4 binary64))) (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (*.f64 x x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))))) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 a x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (*.f64 x x)))))))
(-.f64 (/.f64 #s(literal 8 binary64) (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (+.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x)))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (+.f64 (.f64 a (.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x)) #s(literal 4 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (+.f64 (.f64 a x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 a x)) (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))))
(/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a x)) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a x)) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))) (neg.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (+.f64 (.f64 a x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 a x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))))
(/.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (+.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (.f64 a x))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x)))))) (neg.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (+.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))) (.f64 (.f64 a x) (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))))
(pow.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a x)) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (+.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
(.f64 (.f64 a x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (/.f64 (.f64 a x) (+.f64 (.f64 a x) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (pow.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 2 binary64) (.f64 a x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (*.f64 x x))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a x) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 a x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64)))) (*.f64 a x))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 a x))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64)))) (pow.f64 (/.f64 x (.f64 a x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64)))) (pow.f64 (.f64 x (/.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 a x)) (-.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 a (.f64 a (.f64 x x))))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))))))
(.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 a x)) (-.f64 #s(literal 16 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 a (.f64 a (.f64 x x)))))) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x)))) #s(literal 8 binary64))) (-.f64 (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (.f64 (*.f64 a x) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x)))) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (.f64 (*.f64 a x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal -4 binary64))) (+.f64 (*.f64 a x) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (*.f64 x x))))))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 a x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 a x) a) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 a x) a) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 a x) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) a) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) a) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 a x) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (.f64 a x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64))) a) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 (/.f64 (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64))) x) #s(literal -1 binary64)) (pow.f64 (/.f64 x a) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) a) #s(literal -1 binary64)) x)
(.f64 (pow.f64 (/.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) a))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (-.f64 #s(literal 8 binary64) (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) #s(literal 4 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a x)))

simplify790.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

4118×	`-lowering-.f32`
4118×	`-lowering-.f64`
1902×	`+-lowering-+.f64`
1902×	`+-lowering-+.f32`
1286×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	595	4324
1	2245	3679
0	8808	3679

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) (log (E))))))))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (* (pow x 3) (pow (log (E)) 2))) (* 1/2 (* x (* (log (E)) (- (pow x 2) (* 1/2 (* (pow x 2) (log (E))))))))))) (pow x 2)) (* 1/2 (* (pow x 2) (log (E))))))))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (* (pow x 4) (pow (log (E)) 3))) (+ (* 1/4 (* (pow x 2) (* (pow (log (E)) 2) (- (pow x 2) (* 1/2 (* (pow x 2) (log (E)))))))) (* 1/2 (* x (* (log (E)) (- (* 2/3 (pow x 3)) (+ (* 1/4 (* (pow x 3) (pow (log (E)) 2))) (* 1/2 (* x (* (log (E)) (- (pow x 2) (* 1/2 (* (pow x 2) (log (E)))))))))))))))))) (+ (* 1/4 (* (pow x 3) (pow (log (E)) 2))) (* 1/2 (* x (* (log (E)) (- (pow x 2) (* 1/2 (* (pow x 2) (log (E))))))))))) (pow x 2)) (* 1/2 (* (pow x 2) (log (E))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))
(* a x)
(* x (+ a (* x (- (pow a 2) (* 1/2 (* (pow a 2) (log (E))))))))
(* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (* (pow a 3) (pow (log (E)) 2))) (* 1/2 (* a (* (log (E)) (- (pow a 2) (* 1/2 (* (pow a 2) (log (E))))))))))) (pow a 2)) (* 1/2 (* (pow a 2) (log (E))))))))
(* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (* (pow a 4) (pow (log (E)) 3))) (+ (* 1/4 (* (pow a 2) (* (pow (log (E)) 2) (- (pow a 2) (* 1/2 (* (pow a 2) (log (E)))))))) (* 1/2 (* a (* (log (E)) (- (* 2/3 (pow a 3)) (+ (* 1/4 (* (pow a 3) (pow (log (E)) 2))) (* 1/2 (* a (* (log (E)) (- (pow a 2) (* 1/2 (* (pow a 2) (log (E)))))))))))))))))) (+ (* 1/4 (* (pow a 3) (pow (log (E)) 2))) (* 1/2 (* a (* (log (E)) (- (pow a 2) (* 1/2 (* (pow a 2) (log (E))))))))))) (pow a 2)) (* 1/2 (* (pow a 2) (log (E))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))
1/2
(+ 1/2 (* -1/4 (* a (* x (log (E))))))
(+ 1/2 (* a (- (* -1 (* a (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) (* 1/4 (* x (log (E)))))))
(+ 1/2 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))) (+ (* -1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/24 (* (pow x 3) (pow (log (E)) 3))))))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) (* 1/4 (* x (log (E)))))))
(/ 1 (+ 1 (exp (* a (* x (log (E)))))))
(/ 1 (+ 1 (exp (* a (* x (log (E)))))))
(/ 1 (+ 1 (exp (* a (* x (log (E)))))))
(/ 1 (+ 1 (exp (* a (* x (log (E)))))))
(/ 1 (+ 1 (exp (* a (* x (log (E)))))))
(/ 1 (+ 1 (exp (* a (* x (log (E)))))))
(/ 1 (+ 1 (exp (* a (* x (log (E)))))))
(/ 1 (+ 1 (exp (* a (* x (log (E)))))))
1/2
(+ 1/2 (* -1/4 (* a (* x (log (E))))))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (* (pow a 2) (pow (log (E)) 2))) (* 1/8 (* (pow a 2) (pow (log (E)) 2)))))) (* 1/4 (* a (log (E)))))))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (* (log (E)) (+ (* -1/8 (* (pow a 2) (pow (log (E)) 2))) (* 1/8 (* (pow a 2) (pow (log (E)) 2))))))) (+ (* -1/16 (* (pow a 3) (pow (log (E)) 3))) (* 1/24 (* (pow a 3) (pow (log (E)) 3))))))) (+ (* -1/8 (* (pow a 2) (pow (log (E)) 2))) (* 1/8 (* (pow a 2) (pow (log (E)) 2)))))) (* 1/4 (* a (log (E)))))))
(/ 1 (+ 1 (exp (* a (* x (log (E)))))))
(/ 1 (+ 1 (exp (* a (* x (log (E)))))))
(/ 1 (+ 1 (exp (* a (* x (log (E)))))))
(/ 1 (+ 1 (exp (* a (* x (log (E)))))))
(/ 1 (+ 1 (exp (* a (* x (log (E)))))))
(/ 1 (+ 1 (exp (* a (* x (log (E)))))))
(/ 1 (+ 1 (exp (* a (* x (log (E)))))))
(/ 1 (+ 1 (exp (* a (* x (log (E)))))))
2
(+ 2 (* a (* x (log (E)))))
(+ 2 (* a (+ (* 1/2 (* a (* (pow x 2) (pow (log (E)) 2)))) (* x (log (E))))))
(+ 2 (* a (+ (* a (+ (* 1/6 (* a (* (pow x 3) (pow (log (E)) 3)))) (* 1/2 (* (pow x 2) (pow (log (E)) 2))))) (* x (log (E))))))
(+ 1 (exp (* a (* x (log (E))))))
(+ 1 (exp (* a (* x (log (E))))))
(+ 1 (exp (* a (* x (log (E))))))
(+ 1 (exp (* a (* x (log (E))))))
(+ 1 (exp (* a (* x (log (E))))))
(+ 1 (exp (* a (* x (log (E))))))
(+ 1 (exp (* a (* x (log (E))))))
(+ 1 (exp (* a (* x (log (E))))))
2
(+ 2 (* a (* x (log (E)))))
(+ 2 (* x (+ (* 1/2 (* (pow a 2) (* x (pow (log (E)) 2)))) (* a (log (E))))))
(+ 2 (* x (+ (* a (log (E))) (* x (+ (* 1/6 (* (pow a 3) (* x (pow (log (E)) 3)))) (* 1/2 (* (pow a 2) (pow (log (E)) 2))))))))
(+ 1 (exp (* a (* x (log (E))))))
(+ 1 (exp (* a (* x (log (E))))))
(+ 1 (exp (* a (* x (log (E))))))
(+ 1 (exp (* a (* x (log (E))))))
(+ 1 (exp (* a (* x (log (E))))))
(+ 1 (exp (* a (* x (log (E))))))
(+ 1 (exp (* a (* x (log (E))))))
(+ 1 (exp (* a (* x (log (E))))))
1
(+ 1 (* a (* x (log (E)))))
(+ 1 (* a (+ (* 1/2 (* a (* (pow x 2) (pow (log (E)) 2)))) (* x (log (E))))))
(+ 1 (* a (+ (* a (+ (* 1/6 (* a (* (pow x 3) (pow (log (E)) 3)))) (* 1/2 (* (pow x 2) (pow (log (E)) 2))))) (* x (log (E))))))
(exp (* a (* x (log (E)))))
(exp (* a (* x (log (E)))))
(exp (* a (* x (log (E)))))
(exp (* a (* x (log (E)))))
(exp (* a (* x (log (E)))))
(exp (* a (* x (log (E)))))
(exp (* a (* x (log (E)))))
(exp (* a (* x (log (E)))))
1
(+ 1 (* a (* x (log (E)))))
(+ 1 (* x (+ (* 1/2 (* (pow a 2) (* x (pow (log (E)) 2)))) (* a (log (E))))))
(+ 1 (* x (+ (* a (log (E))) (* x (+ (* 1/6 (* (pow a 3) (* x (pow (log (E)) 3)))) (* 1/2 (* (pow a 2) (pow (log (E)) 2))))))))
(exp (* a (* x (log (E)))))
(exp (* a (* x (log (E)))))
(exp (* a (* x (log (E)))))
(exp (* a (* x (log (E)))))
(exp (* a (* x (log (E)))))
(exp (* a (* x (log (E)))))
(exp (* a (* x (log (E)))))
(exp (* a (* x (log (E)))))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* 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 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* 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)
(* a x)
2
(+ 2 (* a x))
(+ 2 (* a x))
(+ 2 (* a x))
(* a x)
(* a (+ x (* 2 (/ 1 a))))
(* a (+ x (* 2 (/ 1 a))))
(* a (+ x (* 2 (/ 1 a))))
(* a x)
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
2
(+ 2 (* a x))
(+ 2 (* a x))
(+ 2 (* a x))
(* a x)
(* x (+ a (* 2 (/ 1 x))))
(* x (+ a (* 2 (/ 1 x))))
(* x (+ a (* 2 (/ 1 x))))
(* a x)
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* 2 (* a x))
(* a (+ (* 2 x) (* a (pow x 2))))
(* a (+ (* 2 x) (* a (pow x 2))))
(* a (+ (* 2 x) (* a (pow x 2))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* 2 (* a x))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
2
(+ 2 (* a x))
(+ 2 (* a x))
(+ 2 (* a x))
(* a x)
(* a (+ x (* 2 (/ 1 a))))
(* a (+ x (* 2 (/ 1 a))))
(* a (+ x (* 2 (/ 1 a))))
(* a x)
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
2
(+ 2 (* a x))
(+ 2 (* a x))
(+ 2 (* a x))
(* a x)
(* x (+ a (* 2 (/ 1 x))))
(* x (+ a (* 2 (/ 1 x))))
(* x (+ a (* 2 (/ 1 x))))
(* a x)
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a 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
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
x
x
x
x
x
x
x
x
x
x
x
x
(* 2 a)
(* a (+ 2 (* a x)))
(* a (+ 2 (* a x)))
(* a (+ 2 (* a x)))
(* (pow a 2) x)
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(* (pow a 2) x)
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(* 2 a)
(+ (* 2 a) (* (pow a 2) x))
(+ (* 2 a) (* (pow a 2) x))
(+ (* 2 a) (* (pow a 2) x))
(* (pow a 2) x)
(* x (+ (* 2 (/ a x)) (pow a 2)))
(* x (+ (* 2 (/ a x)) (pow a 2)))
(* x (+ (* 2 (/ a x)) (pow a 2)))
(* (pow a 2) x)
(* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))
(* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))
(* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))
(* a x)
(* a (+ x (* -1/4 (* a (* x (+ (* -2 x) (* 2 x)))))))
(* a (+ x (* a (- (* 1/16 (* a (* x (pow (+ (* -2 x) (* 2 x)) 2)))) (* 1/4 (* x (+ (* -2 x) (* 2 x))))))))
(* a (+ x (* a (- (* a (- (* -1 (* a (+ (* 1/64 (* x (pow (+ (* -2 x) (* 2 x)) 3))) (* 1/16 (* (pow x 3) (+ (* -2 x) (* 2 x))))))) (* -1/16 (* x (pow (+ (* -2 x) (* 2 x)) 2))))) (* 1/4 (* x (+ (* -2 x) (* 2 x))))))))
(* a x)
(* a (+ x (+ (/ -2 a) (/ 2 a))))
(* a (+ x (* -1 (/ (+ (* -1 (/ (+ (* -2 x) (* 2 x)) x)) (* -1 (/ (pow (+ (* -2 x) (* 2 x)) 2) (* a (pow x 3))))) a))))
(* a (- (+ x (* -1 (/ (+ (* -4 (/ (+ (* -2 x) (* 2 x)) (pow x 3))) (* -1 (/ (* (+ (* -2 x) (* 2 x)) (- (* 4 (/ 1 x)) (+ (* -1 (/ (pow (+ (* -2 x) (* 2 x)) 2) (pow x 3))) (* 4 (/ 1 x))))) (pow x 2)))) (pow a 3)))) (+ (* -1 (/ (+ (* -2 x) (* 2 x)) (* a x))) (* -1 (/ (pow (+ (* -2 x) (* 2 x)) 2) (* (pow a 2) (pow x 3)))))))
(* a x)
(* -1 (* a (+ (* -1 x) (+ (/ -2 a) (/ 2 a)))))
(* -1 (* a (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ (* -2 x) (* 2 x)) x)) (* -1 (/ (pow (+ (* -2 x) (* 2 x)) 2) (* a (pow x 3))))) a)))))
(* -1 (* a (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 x) (* 2 x)) x)) (* -1 (/ (+ (* -1 (- (* 4 (/ 1 x)) (+ (* -1 (/ (pow (+ (* -2 x) (* 2 x)) 2) (pow x 3))) (* 4 (/ 1 x))))) (* -1 (/ (+ (* -4 (/ (+ (* -2 x) (* 2 x)) (pow x 3))) (* -1 (/ (* (+ (* -2 x) (* 2 x)) (- (* 4 (/ 1 x)) (+ (* -1 (/ (pow (+ (* -2 x) (* 2 x)) 2) (pow x 3))) (* 4 (/ 1 x))))) (pow x 2)))) a))) a))) a)))))
(* a x)
(* x (+ a (* -1/4 (* a (* x (+ (* -2 a) (* 2 a)))))))
(* x (+ a (* x (- (* 1/16 (* a (* x (pow (+ (* -2 a) (* 2 a)) 2)))) (* 1/4 (* a (+ (* -2 a) (* 2 a))))))))
(* x (+ a (* x (- (* x (- (* -1 (* x (+ (* 1/64 (* a (pow (+ (* -2 a) (* 2 a)) 3))) (* 1/16 (* (pow a 3) (+ (* -2 a) (* 2 a))))))) (* -1/16 (* a (pow (+ (* -2 a) (* 2 a)) 2))))) (* 1/4 (* a (+ (* -2 a) (* 2 a))))))))
(* a x)
(* x (+ a (+ (/ -2 x) (/ 2 x))))
(* x (+ a (* -1 (/ (+ (* -1 (/ (+ (* -2 a) (* 2 a)) a)) (* -1 (/ (pow (+ (* -2 a) (* 2 a)) 2) (* (pow a 3) x)))) x))))
(* x (- (+ a (* -1 (/ (+ (* -4 (/ (+ (* -2 a) (* 2 a)) (pow a 3))) (* -1 (/ (* (+ (* -2 a) (* 2 a)) (- (* 4 (/ 1 a)) (+ (* -1 (/ (pow (+ (* -2 a) (* 2 a)) 2) (pow a 3))) (* 4 (/ 1 a))))) (pow a 2)))) (pow x 3)))) (+ (* -1 (/ (+ (* -2 a) (* 2 a)) (* a x))) (* -1 (/ (pow (+ (* -2 a) (* 2 a)) 2) (* (pow a 3) (pow x 2)))))))
(* a x)
(* -1 (* x (+ (* -1 a) (+ (/ -2 x) (/ 2 x)))))
(* -1 (* x (+ (* -1 a) (* -1 (/ (- (* -1 (/ (+ (* -2 a) (* 2 a)) a)) (* -1 (/ (pow (+ (* -2 a) (* 2 a)) 2) (* (pow a 3) x)))) x)))))
(* -1 (* x (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* -2 a) (* 2 a)) a)) (* -1 (/ (+ (* -1 (- (* 4 (/ 1 a)) (+ (* -1 (/ (pow (+ (* -2 a) (* 2 a)) 2) (pow a 3))) (* 4 (/ 1 a))))) (* -1 (/ (+ (* -4 (/ (+ (* -2 a) (* 2 a)) (pow a 3))) (* -1 (/ (* (+ (* -2 a) (* 2 a)) (- (* 4 (/ 1 a)) (+ (* -1 (/ (pow (+ (* -2 a) (* 2 a)) 2) (pow a 3))) (* 4 (/ 1 a))))) (pow a 2)))) x))) x))) x)))))
(* 2 (* a x))
(* a (+ (* 2 x) (* a (pow x 2))))
(* a (+ (* 2 x) (* a (pow x 2))))
(* a (+ (* 2 x) (* a (pow x 2))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* 2 (* a x))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
2
(+ 2 (* a x))
(+ 2 (* a x))
(+ 2 (* a x))
(* a x)
(* a (+ x (* 2 (/ 1 a))))
(* a (+ x (* 2 (/ 1 a))))
(* a (+ x (* 2 (/ 1 a))))
(* a x)
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
2
(+ 2 (* a x))
(+ 2 (* a x))
(+ 2 (* a x))
(* a x)
(* x (+ a (* 2 (/ 1 x))))
(* x (+ a (* 2 (/ 1 x))))
(* x (+ a (* 2 (/ 1 x))))
(* a x)
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
4
(+ 4 (* -1 (* (pow a 2) (pow x 2))))
(+ 4 (* -1 (* (pow a 2) (pow x 2))))
(+ 4 (* -1 (* (pow a 2) (pow x 2))))
(* -1 (* (pow a 2) (pow x 2)))
(* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (pow x 2)))
(* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (pow x 2)))
(* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (pow x 2)))
(* -1 (* (pow a 2) (pow x 2)))
(* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (pow x 2)))
(* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (pow x 2)))
(* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (pow x 2)))
4
(+ 4 (* -1 (* (pow a 2) (pow x 2))))
(+ 4 (* -1 (* (pow a 2) (pow x 2))))
(+ 4 (* -1 (* (pow a 2) (pow x 2))))
(* -1 (* (pow a 2) (pow x 2)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) (pow a 2)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) (pow a 2)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) (pow a 2)))
(* -1 (* (pow a 2) (pow x 2)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) (pow a 2)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) (pow a 2)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) (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)
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
1/2
(+ 1/2 (* -1/4 (* a x)))
(+ 1/2 (* a (- (* 1/8 (* a (pow x 2))) (* 1/4 x))))
(+ 1/2 (* a (- (* a (- (* -1/16 (* a (pow x 3))) (* -1/8 (pow x 2)))) (* 1/4 x))))
(/ 1 (* a x))
(/ (- (/ 1 x) (* 2 (/ 1 (* a (pow x 2))))) a)
(/ (- (+ (/ 1 x) (/ 4 (* (pow a 2) (pow x 3)))) (/ 2 (* a (pow x 2)))) a)
(/ (- (+ (/ 1 x) (* 4 (/ 1 (* (pow a 2) (pow x 3))))) (+ (* 8 (/ 1 (* (pow a 3) (pow x 4)))) (/ 2 (* a (pow x 2))))) a)
(/ 1 (* a x))
(* -1 (/ (- (* 2 (/ 1 (* a (pow x 2)))) (/ 1 x)) a))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* a (pow x 3)))) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 4)))) (* 4 (/ 1 (pow x 3)))) a)) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))
1/2
(+ 1/2 (* -1/4 (* a x)))
(+ 1/2 (* x (- (* 1/8 (* (pow a 2) x)) (* 1/4 a))))
(+ 1/2 (* x (- (* x (- (* -1/16 (* (pow a 3) x)) (* -1/8 (pow a 2)))) (* 1/4 a))))
(/ 1 (* a x))
(/ (- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x)))) x)
(/ (- (+ (/ 1 a) (/ 4 (* (pow a 3) (pow x 2)))) (/ 2 (* (pow a 2) x))) x)
(/ (- (+ (/ 1 a) (* 4 (/ 1 (* (pow a 3) (pow x 2))))) (+ (* 8 (/ 1 (* (pow a 4) (pow x 3)))) (/ 2 (* (pow a 2) x)))) x)
(/ 1 (* a x))
(* -1 (/ (- (* 2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* (pow a 3) x))) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow a 4) x))) (* 4 (/ 1 (pow a 3)))) x)) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (* (pow x 2) (log (E))))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (* (pow x 3) (pow (log (E)) 2))) (* 1/2 (* x (* (log (E)) (- (pow x 2) (* 1/2 (* (pow x 2) (log (E))))))))))) (pow x 2)) (* 1/2 (* (pow x 2) (log (E))))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 a (-.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/3 binary64))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/4 binary64))))))))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (* (pow x 4) (pow (log (E)) 3))) (+ (* 1/4 (* (pow x 2) (* (pow (log (E)) 2) (- (pow x 2) (* 1/2 (* (pow x 2) (log (E)))))))) (* 1/2 (* x (* (log (E)) (- (* 2/3 (pow x 3)) (+ (* 1/4 (* (pow x 3) (pow (log (E)) 2))) (* 1/2 (* x (* (log (E)) (- (pow x 2) (* 1/2 (* (pow x 2) (log (E)))))))))))))))))) (+ (* 1/4 (* (pow x 3) (pow (log (E)) 2))) (* 1/2 (* x (* (log (E)) (- (pow x 2) (* 1/2 (* (pow x 2) (log (E))))))))))) (pow x 2)) (* 1/2 (* (pow x 2) (log (E))))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 x x) (+.f64 (.f64 a (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/3 binary64))) (-.f64 (.f64 a (-.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (.f64 (-.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/3 binary64))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4 binary64))) (.f64 x #s(literal 1/2 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x #s(literal 1/2 binary64))))))) (.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a (* x (log (E)))))))
(/.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 (log (E)))))))
(/.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 (log (E)))))))
(/.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 (log (E)))))))
(/.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 (log (E)))))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
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(+.f64 (*.f64 a x) #s(literal 2 binary64))
(+ 2 (* a x))
(+.f64 (*.f64 a x) #s(literal 2 binary64))
(* a x)
(*.f64 a x)
(* x (+ a (* 2 (/ 1 x))))
(*.f64 x (+.f64 a (/.f64 #s(literal 2 binary64) x)))
(* x (+ a (* 2 (/ 1 x))))
(*.f64 x (+.f64 a (/.f64 #s(literal 2 binary64) x)))
(* x (+ a (* 2 (/ 1 x))))
(*.f64 x (+.f64 a (/.f64 #s(literal 2 binary64) x)))
(* a x)
(*.f64 a x)
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(*.f64 x (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal -2 binary64) x))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(*.f64 x (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal -2 binary64) x))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(*.f64 x (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal -2 binary64) x))))
4
#s(literal 4 binary64)
(+ 4 (* -1 (* (pow a 2) (pow x 2))))
(-.f64 #s(literal 4 binary64) (.f64 x (.f64 x (*.f64 a a))))
(+ 4 (* -1 (* (pow a 2) (pow x 2))))
(-.f64 #s(literal 4 binary64) (.f64 x (.f64 x (*.f64 a a))))
(+ 4 (* -1 (* (pow a 2) (pow x 2))))
(-.f64 #s(literal 4 binary64) (.f64 x (.f64 x (*.f64 a a))))
(* -1 (* (pow a 2) (pow x 2)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (*.f64 a a))))
(* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (pow x 2)))
(.f64 (.f64 a a) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 x x)))
(* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (pow x 2)))
(.f64 (.f64 a a) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 x x)))
(* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (pow x 2)))
(.f64 (.f64 a a) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 x x)))
(* -1 (* (pow a 2) (pow x 2)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (*.f64 a a))))
(* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (pow x 2)))
(.f64 (.f64 a a) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 x x)))
(* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (pow x 2)))
(.f64 (.f64 a a) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 x x)))
(* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (pow x 2)))
(.f64 (.f64 a a) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 x x)))
4
#s(literal 4 binary64)
(+ 4 (* -1 (* (pow a 2) (pow x 2))))
(-.f64 #s(literal 4 binary64) (.f64 x (.f64 x (*.f64 a a))))
(+ 4 (* -1 (* (pow a 2) (pow x 2))))
(-.f64 #s(literal 4 binary64) (.f64 x (.f64 x (*.f64 a a))))
(+ 4 (* -1 (* (pow a 2) (pow x 2))))
(-.f64 #s(literal 4 binary64) (.f64 x (.f64 x (*.f64 a a))))
(* -1 (* (pow a 2) (pow x 2)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (*.f64 a a))))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) (pow a 2)))
(.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 a a)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) (pow a 2)))
(.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 a a)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) (pow a 2)))
(.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 a a)))
(* -1 (* (pow a 2) (pow x 2)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (*.f64 a a))))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) (pow a 2)))
(.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 a a)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) (pow a 2)))
(.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 a a)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) (pow a 2)))
(.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 a a)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(.f64 (.f64 x #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 x (.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (.f64 x x)) (*.f64 a #s(literal 4/3 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 (pow.f64 x #s(literal 4 binary64)))) (.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 (.f64 x #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 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) (pow.f64 a #s(literal 4 binary64)))) (.f64 (.f64 a (*.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))))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
(* (pow a 2) (pow x 2))
(.f64 x (.f64 x (*.f64 a a)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* a x)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal -1/4 binary64))))
(+ 1/2 (* a (- (* 1/8 (* a (pow x 2))) (* 1/4 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 (.f64 x x) (.f64 a #s(literal 1/8 binary64))) (*.f64 x #s(literal -1/4 binary64)))))
(+ 1/2 (* a (- (* a (- (* -1/16 (* a (pow x 3))) (* -1/8 (pow x 2)))) (* 1/4 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 a (+.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 a (.f64 (.f64 #s(literal -1/16 binary64) (.f64 x x)) x)))) (*.f64 x #s(literal -1/4 binary64)))))
(/ 1 (* a x))
(/.f64 (/.f64 #s(literal 1 binary64) a) x)
(/ (- (/ 1 x) (* 2 (/ 1 (* a (pow x 2))))) a)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 x x))) a)
(/ (- (+ (/ 1 x) (/ 4 (* (pow a 2) (pow x 3)))) (/ 2 (* a (pow x 2)))) a)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 x x)))) (/.f64 #s(literal -2 binary64) (.f64 x x))) a)) a)
(/ (- (+ (/ 1 x) (* 4 (/ 1 (* (pow a 2) (pow x 3))))) (+ (* 8 (/ 1 (* (pow a 3) (pow x 4)))) (/ 2 (* a (pow x 2))))) a)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 x x)))) (/.f64 #s(literal -2 binary64) (.f64 x x))) a) (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 a (.f64 a a))))) a)
(/ 1 (* a x))
(/.f64 (/.f64 #s(literal 1 binary64) a) x)
(* -1 (/ (- (* 2 (/ 1 (* a (pow x 2)))) (/ 1 x)) a))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* a (pow x 3)))) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 x x)))) (/.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 4)))) (* 4 (/ 1 (pow x 3)))) a)) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -4 binary64) (.f64 x (.f64 x x)))) a)) (/.f64 #s(literal 2 binary64) (.f64 x x))) a)) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) a))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* a x)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal -1/4 binary64))))
(+ 1/2 (* x (- (* 1/8 (* (pow a 2) x)) (* 1/4 a))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 a #s(literal -1/4 binary64)) (.f64 x (.f64 (*.f64 a a) #s(literal 1/8 binary64))))))
(+ 1/2 (* x (- (* x (- (* -1/16 (* (pow a 3) x)) (* -1/8 (pow a 2)))) (* 1/4 a))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 (.f64 a a) #s(literal 1/8 binary64)) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal -1/16 binary64))))) (*.f64 a #s(literal -1/4 binary64)))))
(/ 1 (* a x))
(/.f64 (/.f64 #s(literal 1 binary64) a) x)
(/ (- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 x x))) a)
(/ (- (+ (/ 1 a) (/ 4 (* (pow a 3) (pow x 2)))) (/ 2 (* (pow a 2) x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a a)))) (/.f64 #s(literal -2 binary64) (.f64 a a))) x)) x)
(/ (- (+ (/ 1 a) (* 4 (/ 1 (* (pow a 3) (pow x 2))))) (+ (* 8 (/ 1 (* (pow a 4) (pow x 3)))) (/ 2 (* (pow a 2) x)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a a)))) (/.f64 #s(literal -2 binary64) (.f64 a a))) x) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x (*.f64 x x)) (pow.f64 a #s(literal 4 binary64)))))) x)
(/ 1 (* a x))
(/.f64 (/.f64 #s(literal 1 binary64) a) x)
(* -1 (/ (- (* 2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* (pow a 3) x))) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a a)))) (/.f64 #s(literal -2 binary64) (.f64 a a))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow a 4) x))) (* 4 (/ 1 (pow a 3)))) x)) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) x) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal -4 binary64) (.f64 a (.f64 a a)))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 a a))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) x))

eval1.9s (8.3%)

Compiler: Compiled 137432 to 9486 computations (93.1% saved)

prune1.5s (6.5%)

Pruning

72 alts after pruning (62 fresh and 10 done)

	Pruned	Kept	Total
New	4506	49	4555
Fresh	18	13	31
Picked	3	2	5
Done	0	8	8
Total	4527	72	4599

Accuracy

100.0%

Counts

4599 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.4%	(/.f64 (/.f64 (.f64 a (.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x)) x) a)
	18.4%	(/.f64 (/.f64 (.f64 a (.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x)) a) x)
	3.9%	(/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (-.f64 #s(literal 2 binary64) (.f64 a x)))
	18.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x))) x)
	27.6%	(/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x))
	64.7%	(/.f64 x (/.f64 #s(literal 1 binary64) a))
	64.7%	(/.f64 a (/.f64 #s(literal 1 binary64) x))
	64.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
	64.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
	3.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a x) #s(literal -2 binary64)) (+.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal -4 binary64))))
	64.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) x))))
✓	64.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
	64.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a)))
	64.3%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))))
	2.8%	(-.f64 (/.f64 (/.f64 #s(literal 64 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (/.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 a (.f64 a (.f64 x x))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))))) (-.f64 #s(literal 2 binary64) (*.f64 a x))))
✓	20.7%	(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	54.9%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
	4.5%	(+.f64 (*.f64 a x) #s(literal 2 binary64))
	60.1%	(.f64 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) a) (-.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 (*.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
	64.6%	(.f64 (/.f64 (/.f64 (.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64)))) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
	64.2%	(.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -2 binary64)))))
	18.5%	(.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x) (/.f64 (*.f64 a x) a))
	64.6%	(.f64 (/.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 a #s(literal 1 binary64)))
	18.7%	(.f64 (/.f64 (.f64 x (.f64 a a)) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
	64.6%	(.f64 (/.f64 (.f64 a (+.f64 (/.f64 x (/.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64))) (+.f64 (*.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
	49.8%	(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a (.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x))) x)) (/.f64 x #s(literal 1 binary64)))
	64.6%	(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (.f64 a x) #s(literal 2 binary64))) x)
	50.2%	(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x) (/.f64 (.f64 a x) a))) (/.f64 x #s(literal 1 binary64)))
	46.4%	(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) x) (/.f64 x a))) (/.f64 x #s(literal 1 binary64)))
	64.2%	(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x (*.f64 a x)))) (/.f64 x #s(literal 1 binary64)))
	3.2%	(.f64 (/.f64 (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64))) x) (/.f64 x a))
	59.9%	(.f64 (/.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) (+.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal -4 binary64))) (+.f64 (.f64 a x) #s(literal -2 binary64)))
	64.1%	(.f64 (/.f64 x (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -2 binary64)))))
	63.7%	(.f64 (/.f64 a (+.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 8 binary64))) (/.f64 (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 #s(literal 4 binary64) (.f64 a (*.f64 x #s(literal 2 binary64))))))))
✓	100.0%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (E.f64) (.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))
	19.4%	(.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
✓	19.4%	(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
	2.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
	3.7%	(.f64 (.f64 (/.f64 (/.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) x) a) (.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
	3.7%	(.f64 (.f64 (/.f64 (/.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) a) x) (.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
	64.5%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))) x))))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
	2.3%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) a) (.f64 x x))) a))
	59.2%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 a (.f64 a (.f64 x x))))) (.f64 (-.f64 #s(literal 2 binary64) (.f64 a x)) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a (*.f64 x x))))))))
	59.9%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a x) #s(literal -2 binary64)) (+.f64 (.f64 a (.f64 a (*.f64 x x))) #s(literal -4 binary64))))))
	49.3%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64)))) (.f64 a x)))
	60.0%	(.f64 (.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal -4 binary64))) (+.f64 (.f64 a x) #s(literal -2 binary64))) (/.f64 x #s(literal 1 binary64)))
	3.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 (.f64 a x) #s(literal 2 binary64))) (*.f64 a x))
	4.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64)))) x)
	3.8%	(.f64 (.f64 (+.f64 (/.f64 a (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (.f64 a x)))
	3.8%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
	3.8%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
	3.4%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a x)) #s(literal -2 binary64)))))
	3.8%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) a))))
	64.4%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64)))) x) #s(literal 2 binary64))))
	3.1%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 a x))) (/.f64 (.f64 a x) (+.f64 (.f64 a x) #s(literal 2 binary64)))))))
	59.2%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal -1/4 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 a (*.f64 x x)))))))
	3.8%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
	3.5%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
	31.9%	(.f64 (.f64 (.f64 a x) (.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
✓	64.3%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))) a)
	19.6%	(.f64 (.f64 x (.f64 x (.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
	4.0%	(.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x (.f64 a x)))
	65.6%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))))))
✓	64.3%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
	17.6%	(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))) a)
	4.5%	(*.f64 x (+.f64 a (/.f64 #s(literal 2 binary64) x)))
	59.6%	(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64)))))))
	59.6%	(.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))))
✓	64.9%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))
	3.2%	#s(literal 2 binary64)
✓	18.2%	#s(literal 0 binary64)

Compiler

Compiled 3648 to 1153 computations (68.4% saved)

regimes269.0ms (1.2%)

Counts

102 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 a x) #s(literal 2 binary64))
(/.f64 a (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) a))
(*.f64 x (+.f64 a (/.f64 #s(literal 2 binary64) x)))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
(.f64 a (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))) a)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) x))))
(.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))) a)
(/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x))
(.f64 (.f64 a (.f64 x (.f64 a x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x (.f64 a x)))
(.f64 (.f64 x (.f64 x (.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 (.f64 a x) (.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64))) x) (/.f64 x a))
(.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x) (/.f64 (*.f64 a x) a))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))))
(/.f64 (/.f64 (.f64 a (.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x)) a) x)
(/.f64 (/.f64 (.f64 a (.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x)) x) a)
(.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64)))) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 (.f64 a x) #s(literal 2 binary64))) (*.f64 a x))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (.f64 a x) #s(literal 2 binary64))) x)
(.f64 (/.f64 (.f64 x (.f64 a a)) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
(-.f64 (+.f64 (/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x))) x)
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (-.f64 #s(literal 2 binary64) (.f64 a x)))
(.f64 (.f64 a x) (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))))))
(.f64 (.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) a))))
(.f64 (.f64 (+.f64 (/.f64 a (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (.f64 a x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64)))) x)
(.f64 (/.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 a #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a x) #s(literal -2 binary64)) (+.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal -4 binary64))))
(.f64 (/.f64 (.f64 a (+.f64 (/.f64 x (/.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64))) (+.f64 (*.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x (.f64 x (+.f64 (.f64 a a) (/.f64 (.f64 a #s(literal 2 binary64)) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64)))) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (.f64 a (.f64 x x)))) a))
(.f64 (.f64 (/.f64 (/.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) a) x) (.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 (/.f64 (/.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) x) a) (.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal -1/4 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 a (*.f64 x x)))))))
(.f64 (/.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) (+.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal -4 binary64))) (+.f64 (.f64 a x) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x (*.f64 a x)))) (/.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) x) (/.f64 x a))) (/.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x) (/.f64 (.f64 a x) a))) (/.f64 x #s(literal 1 binary64)))
(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64)))))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (+.f64 (*.f64 a x) #s(literal -2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x)))))
(.f64 (.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal -4 binary64))) (+.f64 (.f64 a x) #s(literal -2 binary64))) (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
(.f64 (/.f64 a (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -2 binary64)))))
(.f64 (/.f64 x (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -2 binary64)))))
(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a (.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x))) x)) (/.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -2 binary64)))))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) a) (-.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 (*.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal -2 binary64)))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a x) #s(literal -2 binary64)) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 a (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal -2 binary64)))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64)))) x) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a x)) #s(literal -2 binary64)))))
(.f64 (.f64 (+.f64 (.f64 (/.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) a) (.f64 x x))) a))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64)))) (.f64 a x)))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 a x))) (/.f64 (.f64 a x) (+.f64 (.f64 a x) #s(literal 2 binary64)))))))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a x) #s(literal -2 binary64)) (+.f64 (.f64 a (.f64 a (*.f64 x x))) #s(literal -4 binary64))))))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 (.f64 a x) #s(literal 2 binary64)))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -2 binary64))))) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))) x))))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
(.f64 (/.f64 a (+.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 8 binary64))) (/.f64 (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 #s(literal 4 binary64) (.f64 a (*.f64 x #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) #s(literal -1 binary64)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 a (.f64 a (.f64 x x))))) (.f64 (-.f64 #s(literal 2 binary64) (.f64 a x)) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a (*.f64 x x))))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 a (+.f64 (.f64 a (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 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 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))))))))))
(-.f64 (/.f64 (/.f64 #s(literal 64 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (/.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 a (.f64 a (.f64 x x))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))))) (-.f64 #s(literal 2 binary64) (*.f64 a x))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 (.f64 a x) #s(literal 2 binary64)))) (.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 (.f64 a x) #s(literal 2 binary64)))))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (E.f64) (.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))

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

Calls

5 calls:

49.0ms	(exp.f64 (*.f64 a x))
41.0ms	x
39.0ms	(*.f64 a x)
39.0ms	a
34.0ms	(-.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)

regimes246.0ms (1.1%)

Counts

100 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 a x) #s(literal 2 binary64))
(/.f64 a (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) a))
(*.f64 x (+.f64 a (/.f64 #s(literal 2 binary64) x)))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
(.f64 a (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))) a)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) x))))
(.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))) a)
(/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x))
(.f64 (.f64 a (.f64 x (.f64 a x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x (.f64 a x)))
(.f64 (.f64 x (.f64 x (.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 (.f64 a x) (.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64))) x) (/.f64 x a))
(.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x) (/.f64 (*.f64 a x) a))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))))
(/.f64 (/.f64 (.f64 a (.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x)) a) x)
(/.f64 (/.f64 (.f64 a (.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x)) x) a)
(.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64)))) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 (.f64 a x) #s(literal 2 binary64))) (*.f64 a x))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (.f64 a x) #s(literal 2 binary64))) x)
(.f64 (/.f64 (.f64 x (.f64 a a)) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
(-.f64 (+.f64 (/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x))) x)
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (-.f64 #s(literal 2 binary64) (.f64 a x)))
(.f64 (.f64 a x) (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))))))
(.f64 (.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) a))))
(.f64 (.f64 (+.f64 (/.f64 a (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (.f64 a x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64)))) x)
(.f64 (/.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 a #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a x) #s(literal -2 binary64)) (+.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal -4 binary64))))
(.f64 (/.f64 (.f64 a (+.f64 (/.f64 x (/.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64))) (+.f64 (*.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x (.f64 x (+.f64 (.f64 a a) (/.f64 (.f64 a #s(literal 2 binary64)) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64)))) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (.f64 a (.f64 x x)))) a))
(.f64 (.f64 (/.f64 (/.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) a) x) (.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 (/.f64 (/.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) x) a) (.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal -1/4 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 a (*.f64 x x)))))))
(.f64 (/.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) (+.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal -4 binary64))) (+.f64 (.f64 a x) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x (*.f64 a x)))) (/.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) x) (/.f64 x a))) (/.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x) (/.f64 (.f64 a x) a))) (/.f64 x #s(literal 1 binary64)))
(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64)))))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (+.f64 (*.f64 a x) #s(literal -2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x)))))
(.f64 (.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal -4 binary64))) (+.f64 (.f64 a x) #s(literal -2 binary64))) (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
(.f64 (/.f64 a (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -2 binary64)))))
(.f64 (/.f64 x (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -2 binary64)))))
(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a (.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x))) x)) (/.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -2 binary64)))))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) a) (-.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 (*.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal -2 binary64)))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a x) #s(literal -2 binary64)) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 a (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal -2 binary64)))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64)))) x) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a x)) #s(literal -2 binary64)))))
(.f64 (.f64 (+.f64 (.f64 (/.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) a) (.f64 x x))) a))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64)))) (.f64 a x)))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 a x))) (/.f64 (.f64 a x) (+.f64 (.f64 a x) #s(literal 2 binary64)))))))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a x) #s(literal -2 binary64)) (+.f64 (.f64 a (.f64 a (*.f64 x x))) #s(literal -4 binary64))))))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 (.f64 a x) #s(literal 2 binary64)))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -2 binary64))))) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))) x))))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
(.f64 (/.f64 a (+.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 8 binary64))) (/.f64 (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 #s(literal 4 binary64) (.f64 a (*.f64 x #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) #s(literal -1 binary64)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 a (.f64 a (.f64 x x))))) (.f64 (-.f64 #s(literal 2 binary64) (.f64 a x)) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a (*.f64 x x))))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 a (+.f64 (.f64 a (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 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 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))))))))))
(-.f64 (/.f64 (/.f64 #s(literal 64 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (/.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 a (.f64 a (.f64 x x))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))))) (-.f64 #s(literal 2 binary64) (*.f64 a x))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 (.f64 a x) #s(literal 2 binary64)))) (.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 (.f64 a x) #s(literal 2 binary64)))))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))

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

Calls

5 calls:

40.0ms	a
39.0ms	(*.f64 a x)
38.0ms	x
36.0ms	(exp.f64 (*.f64 a x))
35.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

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

Compiler

Compiled 25 to 17 computations (32% saved)

regimes130.0ms (0.6%)

Counts

97 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 a x) #s(literal 2 binary64))
(/.f64 a (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) a))
(*.f64 x (+.f64 a (/.f64 #s(literal 2 binary64) x)))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
(.f64 a (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))) a)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) x))))
(.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))) a)
(/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x))
(.f64 (.f64 a (.f64 x (.f64 a x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x (.f64 a x)))
(.f64 (.f64 x (.f64 x (.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 (.f64 a x) (.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64))) x) (/.f64 x a))
(.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x) (/.f64 (*.f64 a x) a))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))))
(/.f64 (/.f64 (.f64 a (.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x)) a) x)
(/.f64 (/.f64 (.f64 a (.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x)) x) a)
(.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64)))) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 (.f64 a x) #s(literal 2 binary64))) (*.f64 a x))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (.f64 a x) #s(literal 2 binary64))) x)
(.f64 (/.f64 (.f64 x (.f64 a a)) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
(-.f64 (+.f64 (/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x))) x)
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (-.f64 #s(literal 2 binary64) (.f64 a x)))
(.f64 (.f64 a x) (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))))))
(.f64 (.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) a))))
(.f64 (.f64 (+.f64 (/.f64 a (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (.f64 a x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64)))) x)
(.f64 (/.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 a #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a x) #s(literal -2 binary64)) (+.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal -4 binary64))))
(.f64 (/.f64 (.f64 a (+.f64 (/.f64 x (/.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64))) (+.f64 (*.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x (.f64 x (+.f64 (.f64 a a) (/.f64 (.f64 a #s(literal 2 binary64)) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64)))) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (.f64 a (.f64 x x)))) a))
(.f64 (.f64 (/.f64 (/.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) a) x) (.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 (/.f64 (/.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) x) a) (.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 x #s(literal -1/4 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 a (*.f64 x x)))))))
(.f64 (/.f64 (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x)) (+.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal -4 binary64))) (+.f64 (.f64 a x) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x (*.f64 a x)))) (/.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) x) (/.f64 x a))) (/.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x) (/.f64 (.f64 a x) a))) (/.f64 x #s(literal 1 binary64)))
(.f64 a (+.f64 x (.f64 (.f64 a (.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 x x)) (.f64 a #s(literal 1/24 binary64)))))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (+.f64 (*.f64 a x) #s(literal -2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x)))))
(.f64 (.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal -4 binary64))) (+.f64 (.f64 a x) #s(literal -2 binary64))) (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
(.f64 (/.f64 a (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -2 binary64)))))
(.f64 (/.f64 x (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -2 binary64)))))
(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a (.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x))) x)) (/.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -2 binary64)))))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) a) (-.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 (*.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal -2 binary64)))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a x) #s(literal -2 binary64)) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 a (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal -2 binary64)))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64)))) x) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a x)) #s(literal -2 binary64)))))
(.f64 (.f64 (+.f64 (.f64 (/.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) a) (.f64 x x))) a))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64)))) (.f64 a x)))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 a x))) (/.f64 (.f64 a x) (+.f64 (.f64 a x) #s(literal 2 binary64)))))))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a x) #s(literal -2 binary64)) (+.f64 (.f64 a (.f64 a (*.f64 x x))) #s(literal -4 binary64))))))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 (.f64 a x) #s(literal 2 binary64)))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -4 binary64))) (/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -2 binary64))))) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))) x))))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal 2 binary64))))
(.f64 (/.f64 a (+.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 8 binary64))) (/.f64 (.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 #s(literal 4 binary64) (.f64 a (*.f64 x #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) #s(literal -1 binary64)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (.f64 a x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 a (.f64 a (.f64 x x))))) (.f64 (-.f64 #s(literal 2 binary64) (.f64 a x)) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a (*.f64 x x))))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 a (+.f64 (.f64 a (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 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 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))))))))))
(-.f64 (/.f64 (/.f64 #s(literal 64 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))))) (-.f64 #s(literal 2 binary64) (.f64 a x))) (/.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 a (.f64 a (.f64 x x))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x))))))) (-.f64 #s(literal 2 binary64) (*.f64 a x))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 (.f64 a x) #s(literal 2 binary64)))) (.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 (.f64 a x) #s(literal 2 binary64)))))

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

Calls

3 calls:

38.0ms	(*.f64 a x)
38.0ms	a
38.0ms	x

Results

Accuracy	Segments	Branch
65.6%	1	`a`
65.6%	1	`x`
65.6%	1	`(*.f64 a x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes62.0ms (0.3%)

Counts

44 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 a x) #s(literal 2 binary64))
(/.f64 a (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) a))
(*.f64 x (+.f64 a (/.f64 #s(literal 2 binary64) x)))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
(.f64 a (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))) a)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) x))))
(.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))) a)
(/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x))
(.f64 (.f64 a (.f64 x (.f64 a x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x (.f64 a x)))
(.f64 (.f64 x (.f64 x (.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 (.f64 a x) (.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64))) x) (/.f64 x a))
(.f64 (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x) (/.f64 (*.f64 a x) a))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))))
(/.f64 (/.f64 (.f64 a (.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x)) a) x)
(/.f64 (/.f64 (.f64 a (.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x)) x) a)
(.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x (+.f64 (.f64 a x) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64)))) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 (.f64 a x) #s(literal 2 binary64))) (*.f64 a x))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 a x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 a (+.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 (.f64 a x) #s(literal 2 binary64))) x)
(.f64 (/.f64 (.f64 x (.f64 a a)) (+.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)))
(-.f64 (+.f64 (/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) x))) x)
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 x x)))) (-.f64 #s(literal 2 binary64) (.f64 a x)))
(.f64 (.f64 a x) (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))

Outputs
(*.f64 a x)

Calls

3 calls:

19.0ms	a
18.0ms	x
18.0ms	(*.f64 a x)

Results

Accuracy	Segments	Branch
64.9%	1	`a`
64.9%	1	`x`
64.9%	1	`(*.f64 a x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes6.0ms (0%)

Accuracy

Total -10.0b remaining (-19.1%)

Threshold costs -10b (-19.1%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

3.0ms	a
3.0ms	x

Results

Accuracy	Segments	Branch
18.2%	1	`a`
18.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
6×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`e-exp-1_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	41
1	37	41

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (E.f64) (.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 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)))))
(expm1.f64 (*.f64 a x))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))))))
(*.f64 a x)
#s(literal 0 binary64)

soundness3.3s (14%)

Rules

8366×	`fma-define`
7692×	`fma-lowering-fma.f32`
7692×	`fma-lowering-fma.f64`
3574×	`-lowering-.f32`
3574×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	123
1	171	102
2	1517	96
0	8389	96
0	21	71
1	113	59
2	976	59
0	8734	59
0	63	570
1	202	548
2	654	542
3	1551	542
4	2281	542
5	2638	542
6	2866	542
7	2978	542
8	2992	542
9	2995	542
10	2995	536
11	5565	528
12	6810	528
0	8164	528
0	6	15
1	28	15
2	154	15
3	1408	15
0	8320	15
0	6	4
1	15	4
2	18	4
0	18	4

Stop Event

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

Compiler

Compiled 134 to 87 computations (35.1% saved)

preprocess128.0ms (0.5%)

Remove: (sort a x)
Compiler: Compiled 222 to 144 computations (35.1% saved)

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

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

analyze81.0ms (0.3%)

sample2.8s (12.1%)

preprocess45.0ms (0.2%)

explain228.0ms (1%)

eval1.0ms (0%)

prune3.0ms (0%)

simplify10.0ms (0%)

localize139.0ms (0.6%)

series10.0ms (0%)

rewrite885.0ms (3.8%)

simplify857.0ms (3.7%)

eval222.0ms (1%)

prune118.0ms (0.5%)

simplify446.0ms (1.9%)

localize385.0ms (1.7%)

series49.0ms (0.2%)

rewrite755.0ms (3.2%)

simplify534.0ms (2.3%)

eval411.0ms (1.8%)

prune323.0ms (1.4%)

simplify367.0ms (1.6%)

localize493.0ms (2.1%)

series44.0ms (0.2%)

rewrite1.0s (4.3%)

simplify609.0ms (2.6%)

eval936.0ms (4%)

prune829.0ms (3.6%)

simplify525.0ms (2.3%)

localize645.0ms (2.8%)

series106.0ms (0.5%)

rewrite1.1s (4.6%)

simplify790.0ms (3.4%)

eval1.9s (8.3%)

prune1.5s (6.5%)

regimes269.0ms (1.2%)

regimes246.0ms (1.1%)

regimes130.0ms (0.6%)

regimes62.0ms (0.3%)

regimes6.0ms (0%)

simplify16.0ms (0.1%)

soundness3.3s (14%)

preprocess128.0ms (0.5%)

end0.0ms (0%)

Profiling

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